ICSE Class 10 Home Science Previous Years Question Papers Solved Last 10 Years

APlusTopper.com provides ICSE Class 10 Home Science Previous Year Board Question Papers Solved Pdf Free Download with Solutions, Answers and Marking Scheme. Here we have given ICSE Class 10 Home Science Solved Question Papers Last Ten Years. Students can view or download the ICSE Board 10th Home Science Previous Year Question Papers with Solutions for their upcoming examination.

These ICSE Class 10 Home Science Previous 10 Years Board Question Papers with Answers are useful to understand the pattern of questions asked in the board exam. Know about the important concepts to be prepared for ICSE Class 10 Board Exam and Score More marks.

Board – Indian Certificate of Secondary Education (ICSE), www.cisce.org
Class – Class 10
Subject – Home Science
Year of Examination – 2020, 2019, 2018, 2017.

ICSE Class 10 Home Science Solved Question Papers Last Ten Years

We hope the ICSE Class 10 Home Science Previous Years Question Papers Solved Last 10 Years Pdf Free Download with Solutions will help you. If you have any query regarding ICSE Class 10 Home Science Solved Question Papers Last Ten Years with Answers, drop a comment below and we will get back to you at the earliest.

ICSE Previous Year Question Papers Class 10

ICSE Class 10 Physical Education Previous Years Question Papers Solved Last 10 Years

APlusTopper.com provides ICSE Class 10 Physical Education Previous Year Board Question Papers Solved Pdf Free Download with Solutions, Answers and Marking Scheme. Here we have given ICSE Class 10 Physical Education Solved Question Papers Last Ten Years. Students can view or download the ICSE Board 10th Physical Education Previous Year Question Papers with Solutions for their upcoming examination.

These ICSE Class 10 Physical Education Previous 10 Years Board Question Papers with Answers are useful to understand the pattern of questions asked in the board exam. Know about the important concepts to be prepared for ICSE Class 10 Board Exam and Score More marks.

Board – Indian Certificate of Secondary Education (ICSE), www.cisce.org
Class – Class 10
Subject – Physical Education
Year of Examination – 2020, 2019, 2018, 2017.

ICSE Class 10 Physical Education Solved Question Papers Last Ten Years

We hope the ICSE Class 10 Physical Education Previous Years Question Papers Solved Last 10 Years Pdf Free Download with Solutions will help you. If you have any query regarding ICSE Class 10 Physical Education Solved Question Papers Last Ten Years with Answers, drop a comment below and we will get back to you at the earliest.

ICSE Previous Year Question Papers Class 10

ICSE Class 10 Commercial Studies Previous Years Question Papers Solved Last 10 Years

APlusTopper.com provides ICSE Class 10 Commercial Studies Previous Year Board Question Papers Solved Pdf Free Download with Solutions, Answers and Marking Scheme. Here we have given ICSE Class 10 Commercial Studies Solved Question Papers Last Ten Years. Students can view or download the ICSE Board 10th Commercial Studies Previous Year Question Papers with Solutions for their upcoming examination.

These ICSE Class 10 Commercial Studies Previous 10 Years Board Question Papers with Answers are useful to understand the pattern of questions asked in the board exam. Know about the important concepts to be prepared for ICSE Class 10 Board Exam and Score More marks.

Board – Indian Certificate of Secondary Education (ICSE), www.cisce.org
Class – Class 10
Subject – Commercial Studies
Year of Examination – 2020, 2019, 2018, 2017.

ICSE Class 10 Commercial Studies Solved Question Papers Last Ten Years

We hope the ICSE Class 10 Commercial Studies Previous Years Question Papers Solved Last 10 Years Pdf Free Download with Solutions will help you. If you have any query regarding ICSE Class 10 Commercial Studies Solved Question Papers Last Ten Years with Answers, drop a comment below and we will get back to you at the earliest.

ICSE Previous Year Question Papers Class 10

ICSE Class 10 Commercial Applications Previous Years Question Papers Solved Last 10 Years

APlusTopper.com provides ICSE Class 10 Commercial Applications Previous Year Board Question Papers Solved Pdf Free Download with Solutions, Answers and Marking Scheme. Here we have given ICSE Class 10 Commercial Applications Solved Question Papers Last Ten Years. Students can view or download the ICSE Board 10th Commercial Applications Previous Year Question Papers with Solutions for their upcoming examination.

These ICSE Class 10 Commercial Applications Previous 10 Years Board Question Papers with Answers are useful to understand the pattern of questions asked in the board exam. Know about the important concepts to be prepared for ICSE Class 10 Board Exam and Score More marks.

Board – Indian Certificate of Secondary Education (ICSE), www.cisce.org
Class – Class 10
Subject – Commercial Applications
Year of Examination – 2020, 2019, 2018, 2017.

ICSE Class 10 Commercial Applications Solved Question Papers Last Ten Years

We hope the ICSE Class 10 Commercial Applications Previous Years Question Papers Solved Last 10 Years Pdf Free Download with Solutions will help you. If you have any query regarding ICSE Class 10 Commercial Applications Solved Question Papers Last Ten Years with Answers, drop a comment below and we will get back to you at the earliest.

ICSE Previous Year Question Papers Class 10

ICSE Class 10 Computer Applications Previous Years Question Papers Solved Last 10 Years

APlusTopper.com provides ICSE Class 10 Computer Applications Previous Year Board Question Papers Solved Pdf Free Download with Solutions, Answers and Marking Scheme. Here we have given ICSE Class 10 Computer Applications Solved Question Papers Last Ten Years. Students can view or download the ICSE Board 10th Computer Applications Previous Year Question Papers with Solutions for their upcoming examination.

These ICSE Class 10 Computer Applications Previous 10 Years Board Question Papers with Answers are useful to understand the pattern of questions asked in the board exam. Know about the important concepts to be prepared for ICSE Class 10 Board Exam and Score More marks. Board ICSE Solved Paper 2019, 2018, 2017 Computer.

Board – Indian Certificate of Secondary Education (ICSE), www.cisce.org
Class – Class 10
Subject – Computer Applications
Year of Examination – 2020, 2019, 2018, 2017.

ICSE Class 10 Computer Applications Solved Question Papers Last Ten Years

We hope the ICSE Class 10 Computer Applications Previous Years Question Papers Solved Last 10 Years Pdf Free Download with Solutions will help you. If you have any query regarding ICSE Class 10 Computer Applications Solved Question Papers Last Ten Years with Answers, drop a comment below and we will get back to you at the earliest.

ICSE Previous Year Question Papers Class 10

Linear Inequations (Solving Linear Inequations in One Variable) Class 10 Maths ICSE Solutions

Get ICSE Solutions for Class 10 Mathematics Chapter 5 Linear Inequations (Solving Linear Inequations in One Variable) for ICSE Board Examinations on ICSESolutions.com. We provide step by step Solutions for ICSE Mathematics Class 10 Solutions Pdf. You can download the Class 10 Maths ICSE Textbook Solutions with Free PDF download option.

ICSE Solutions   Selina ICSE Solutions

Linear Inequations (Solving Linear Inequations in One Variable) Class 10 Maths ICSE Solutions

Download Formulae Handbook For ICSE Class 9 and 10

Formulae

Two permissible rules:

  1. Addition – Subtraction Rule:
    If the same number or expression is added to or subtracted from both sides of an inequation, the resulting inequation has the same solution (or solutions) as the original.
  2. Multiplication – Division Rule:
    (i) If both sides of an inequation are multiplied or divided by the same positive number, the resulting inequation has the same solution (or solutions) as the original.
    (ii) If both sides of an inequation are multiplied or divided by the same negative number, the resulting inequation has the same solution (or solutions) as the original if the symbol of the inequality is reversed.
    Thus, the only difference between solving a linear equation and solving an inequation concerns multiplying or dividing both sides by a negative number. Therefore, always reverse the symbol of an inequation when multiplying or dividing by a negative number.
  3. Properties of absolute values:
    icse-solutions-class-10-mathematics-6
    icse-solutions-class-10-mathematics-7

Determine the Following

Question 1. Give that x ∈ I. Solve the inequation and graph the solution on the number line:
icse-solutions-class-10-mathematics-1

Question 2. Graph the solution set for each inequality:
icse-solutions-class-10-mathematics-2
icse-solutions-class-10-mathematics-3
Question 3. Solve the given inequation and graph the solution on the number line
icse-solutions-class-10-mathematics-4

Question 4. Given that x ∈ R, solve the following inequality and graph the solution on the number line:
icse-solutions-class-10-mathematics-5

Question 5. Given:

icse-solutions-class-10-mathematics-6
Question 6. Solve 2 ≤ 2x – 3 ≤ 5, x ∈ R and mark it on a number line.
icse-solutions-class-10-mathematics-7
icse-solutions-class-10-mathematics-8

Question 7. For each inequality, determine which of the given numbers are in the solution set:
icse-solutions-class-10-mathematics-9

Question 8. Graph the solution sets of the following inequalities:
icse-solutions-class-10-mathematics-10

Question 9. Solve the equation and represent the solution set on the number line.
icse-solutions-class-10-mathematics-11

Question 10. Solve the following inequation and represent the solution set on the number line:
icse-solutions-class-10-mathematics-12

Question 11. Solve the following in equalities and graph their solution set
icse-solutions-class-10-mathematics-13
icse-solutions-class-10-mathematics-14

Question 12. Solve the following inequation and graph the solution set,
icse-solutions-class-10-mathematics-15

Question 13. Solve the following inequation and graph the solution on the number line.
icse-solutions-class-10-mathematics-16
icse-solutions-class-10-mathematics-17

Question 14. Solve the following inequalities and represent the solution on a number line:
icse-solutions-class-10-mathematics-18
icse-solutions-class-10-mathematics-19
icse-solutions-class-10-mathematics-20

icse-solutions-class-10-mathematics-21

Question 15. Solve the following inequalities and represent the solution set on a number line:
icse-solutions-class-10-mathematics-22
icse-solutions-class-10-mathematics-23
icse-solutions-class-10-mathematics-24
icse-solutions-class-10-mathematics-25

Question 16. Solve the following inequation, write the solution set and represent it on the number line:
icse-solutions-class-10-mathematics-26
icse-solutions-class-10-mathematics-27

Question 17. Find the values of x, which satisfy the inequation
icse-solutions-class-10-mathematics-28
icse-solutions-class-10-mathematics-29

Question 18. Solve the following inequalities in the given universal set:
icse-solutions-class-10-mathematics-30
icse-solutions-class-10-mathematics-31
icse-solutions-class-10-mathematics-32

Question 19. Find the solution set of the following inequalities and draw the graph of their solutions sets:
icse-solutions-class-10-mathematics-33
icse-solutions-class-10-mathematics-34
icse-solutions-class-10-mathematics-35
icse-solutions-class-10-mathematics-36

Question 20. Solve the following inequalities and graph their solution set:
icse-solutions-class-10-mathematics-37
icse-solutions-class-10-mathematics-38

For More Resources

Similarity Class 10 Maths ICSE Solutions

Get ICSE Solutions for Class 10 Mathematics Chapter 13 Similarity for ICSE Board Examinations on ICSESolutions.com. We provide step by step Solutions for ICSE Mathematics Class 10 Solutions Pdf. You can download the Class 10 Maths ICSE Textbook Solutions with Free PDF download option.

ICSE Solutions  Selina ICSE Solutions

Similarity Class 10 Maths ICSE Solutions

Download Formulae Handbook For ICSE Class 9 and 10

Formulae

Similarities of triangles: When two triangles are similar, their corresponding angles are equal and corresponding sides are proportional.
icse-solutions-class-10-mathematics-25

Axioms of similarity of triangles: (i.e., three similarity postulates for triangle)

  1. If two triangles have a pair of corresponding angles equal and the sides including them proportional; then the triangles are similar (SAS postulate).
  2. If two triangles have two pairs of corresponding angles equal; the triangles are similar (AA or AAA postulate).
  3. If two triangles have their three pairs of corresponding sides proportional, the triangles are similar (SSS postulate).

Basic Theorem of Proportionality:

  1. A line drawn parallel to any side of a triangle, divides the other two sides proportionally. (Basic proportionality theorem).
    icse-solutions-class-10-mathematics-26
    Conversely: If a line divides two sides of a triangle proportionally, the line is parallel to the third side.
    icse-solutions-class-10-mathematics-27
  2. Relation between the areas of two triangles: Theorem: The areas of two similar triangles are proportional to the squares on their corresponding sides.
    icse-solutions-class-10-mathematics-28

Determine the Following

Question 1. The model of a building is constructed with scale factor 1:30.
(i) If the height of the model is 80 cm, find the actual height of the building in metres.
(ii) If the actual volume of a tank at the top of the building is 27 m3, find the volume of the tank on the top of the model.
icse-solutions-class-10-mathematics-286

Question 2. Triangles ABC and DEF are similar.
icse-solutions-class-10-mathematics-287
icse-solutions-class-10-mathematics-288
icse-solutions-class-10-mathematics-289

Prove the Following 

Similarity-icse-solutions-class-10-mathematics-1
Similarity-icse-solutions-class-10-mathematics-2

Similarity-icse-solutions-class-10-mathematics-3
Similarity-icse-solutions-class-10-mathematics-4
Similarity-icse-solutions-class-10-mathematics-5

Question 3. Prove that the area of the triangle BCE described on one side BC of a square ABCD as base is one half of the area of similar triangle ACF described on the diagonal AC as base.
Similarity-icse-solutions-class-10-mathematics-6
Similarity-icse-solutions-class-10-mathematics-7

Question 4. In figure ABC and DBC are two triangles on the same base BC. Prove that
Similarity-icse-solutions-class-10-mathematics-8

Question 5. In the adjoining figure, the medians BD and CE of a ∆ABC meet at G. Prove that
Similarity-icse-solutions-class-10-mathematics-10
Similarity-icse-solutions-class-10-mathematics-11

Figure Based Questions

similarity-icse-solutions-class-10-mathematics-1
similarity-icse-solutions-class-10-mathematics-2

Question 2. Two isosceles triangle have equal vertical angles and their areas are in the ratio of 36 : 25. Find the ratio between their corresponding heights.
similarity-icse-solutions-class-10-mathematics-3

similarity-icse-solutions-class-10-mathematics-4
similarity-icse-solutions-class-10-mathematics-5

Question 4. In the given figure, AB and DE are perpendicular to BC.
similarity-icse-solutions-class-10-mathematics-6
similarity-icse-solutions-class-10-mathematics-7

similarity-icse-solutions-class-10-mathematics-8
similarity-icse-solutions-class-10-mathematics-9
similarity-icse-solutions-class-10-mathematics-10

similarity-icse-solutions-class-10-mathematics-11
similarity-icse-solutions-class-10-mathematics-12

Question 7. Equilateral triangles are drawn on the sides of a right angled triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides.
similarity-icse-solutions-class-10-mathematics-13
similarity-icse-solutions-class-10-mathematics-14

Question 8: On a map drawn to scale of 1 : 2,50,000 a rectangular plot of land ABCD has the following measurement AB = 12 cm, BC = 16 cm angles A, B, C, and D are 900 each. Calculate:
(i) The diagonal distance of the plot of land in
(ii) Actual length of diagonal.
similarity-icse-solutions-class-10-mathematics-15
similarity-icse-solutions-class-10-mathematics-16

similarity-icse-solutions-class-10-mathematics-17
similarity-icse-solutions-class-10-mathematics-18

Question 10. In the adjoining figure. BC is parallel to DE, area of ΔABC = 25 sq cm, area of trapezium BCED = 24 sq cm, DE = 14 cm. Calculate the length of BC.
similarity-icse-solutions-class-10-mathematics-19
similarity-icse-solutions-class-10-mathematics-20

similarity-icse-solutions-class-10-mathematics-21

similarity-icse-solutions-class-10-mathematics-22
similarity-icse-solutions-class-10-mathematics-23

similarity-icse-solutions-class-10-mathematics-24

Question 14. In the given figure ABC and CEF are two triangles where BA is parallel to CE and AF : AC = 5 : 8.
similarity-icse-solutions-class-10-mathematics-25
similarity-icse-solutions-class-10-mathematics-26

similarity-icse-solutions-class-10-mathematics-27
similarity-icse-solutions-class-10-mathematics-28
similarity-icse-solutions-class-10-mathematics-29

Question 16. Triangles ABC and DEF are similar.
similarity-icse-solutions-class-10-mathematics-30
similarity-icse-solutions-class-10-mathematics-31
similarity-icse-solutions-class-10-mathematics-32

similarity-icse-solutions-class-10-mathematics-33
similarity-icse-solutions-class-10-mathematics-34
similarity-icse-solutions-class-10-mathematics-35

For More Resources

Loci (Locus and its Constructions) Class 10 Maths ICSE Solutions

Get ICSE Solutions for Class 10 Mathematics Chapter 14 Loci (Locus and its Constructions) for ICSE Board Examinations on ICSESolutions.com. We provide step by step Solutions for ICSE Mathematics Class 10 Solutions Pdf. You can download the Class 10 Maths ICSE Textbook Solutions with Free PDF download option.

ICSE Solutions  Selina ICSE Solutions

Loci (Locus and its Constructions) Class 10 Maths ICSE Solutions

Download Formulae Handbook For ICSE Class 9 and 10

Formulae

Theorems on Locus:
(a) The locus of a point equidistant from a fixed point is a circle with the fixed point as centre.
(b) The locus of a point equidistant from two interacting lines is the bisector of the angles between the lines.
(c) The locus of a point equidistant from two given points is the perpendicular bisector of the line joining the points.

Prove the Following 

Question 1. The bisector of ∠ B and ∠C of a quadrilateral ABCD intersect in P, show that P is equidistant from the opposite sides AB and CD.
loci-icse-solutions-class-10-mathematics-1

Question 2. Prove that the common chord of two intersecting circles is bisected at right angles by the line of centres.
loci-icse-solutions-class-10-mathematics-2
loci-icse-solutions-class-10-mathematics-3

loci-icse-solutions-class-10-mathematics-4

Question 4. In Fig. ABCD is a quadrilateral in which AB = BC. E is the point of intersection of the right bisectors of AD and CD. Prove that BE bisects ∠ABC.
loci-icse-solutions-class-10-mathematics-5
loci-icse-solutions-class-10-mathematics-6

Figure Based Questions

locus-construction-icse-solutions-class-10-mathematics-1
locus-construction-icse-solutions-class-10-mathematics-2

locus-construction-icse-solutions-class-10-mathematics-3

Question 3. State and draw the locus of a swimmer maintaining the same distance from a lighthouse.
locus-construction-icse-solutions-class-10-mathematics-4

Question 4. State and draw the locus of a point equidistant from two given parallel lines.
locus-construction-icse-solutions-class-10-mathematics-5

Question 5. l is the perpendicular bisector of line segment PQ and R is a point on the same side of l as P. The segment QR intersects l at X. Prove that PX + XR = QR.
locus-construction-icse-solutions-class-10-mathematics-6

Question 6. Construct a Δ ABC, with AB = 6 cm, AC = BC = 9 cm; find a point 4 cm from A and equidistant from B and C.
locus-construction-icse-solutions-class-10-mathematics-7

Question 7. Given a Δ ABC with unequal sides. Find a point which is equidistant from B and C as well as from AB and AC.
locus-construction-icse-solutions-class-10-mathematics-8
locus-construction-icse-solutions-class-10-mathematics-9

Question 8. Prove that the common chord of two intersecting circles is bisected at right angles by the line of centres.
locus-construction-icse-solutions-class-10-mathematics-10

Question 9. Find the locus of the centre of a circle of radius r touching externally a circle of radius R.
locus-construction-icse-solutions-class-10-mathematics-11

locus-construction-icse-solutions-class-10-mathematics-12
locus-construction-icse-solutions-class-10-mathematics-13

locus-construction-icse-solutions-class-10-mathematics-14
locus-construction-icse-solutions-class-10-mathematics-15

Question 12. The diagonals of a quadrilateral bisect each other at right angles. Show that the quadrilateral is a rhombus.
locus-construction-icse-solutions-class-10-mathematics-16

Question 13. What is the locus of points which are equidistant from the given non-collinear point A, B and C? Justify your answer.
locus-construction-icse-solutions-class-10-mathematics-18

Question 14. Find the locus of points which are equidistant from three non-collinear points.
locus-construction-icse-solutions-class-10-mathematics-19
locus-construction-icse-solutions-class-10-mathematics-20

Question 15. Show that the locus of the centres of all circles passing through two given points A and B, is the perpendicular bisector of the line segment AB.
locus-construction-icse-solutions-class-10-mathematics-21
From (i) and (ii), it follows that P and Q both lies on the perpendicular bisector of AB.
Hence, the locus of the centres of all the circles passing through A and B is the perpendicular bisector of AB.

Question 16. Using ruler and compasses construct:
(i) a triangle ABC in which AB = 5.5 cm, BC = 3.4 cm and CA = 4.9 cm.
(ii) the locus of point equidistant from A and C.
(iii) a circle touching AB at A and passing through C.
locus-construction-icse-solutions-class-10-mathematics-22

locus-construction-icse-solutions-class-10-mathematics-23

Question 18. ΔPBC and ΔQBC are two isosceles triangles on the same base BC but on the opposite sides of line BC. Show that PQ bisects BC at right angles.
locus-construction-icse-solutions-class-10-mathematics-24
locus-construction-icse-solutions-class-10-mathematics-25

locus-construction-icse-solutions-class-10-mathematics-26
locus-construction-icse-solutions-class-10-mathematics-27

Question 20. Without using set squares or protractor construct:
(i) Triangle ABC, in which AB = 5.5 cm, BC = 3.2 cm and CA = 4.8 cm.
(ii) Draw the locus of a point which moves so that it is always 2.5 cm from B.
(iii) Draw the locus of a point which moves so that it is equidistant from the sides BC and CA.
(iv) Mark the point of intersection of the loci with the letter P and measure PC.
locus-construction-icse-solutions-class-10-mathematics-28

Question 21. Use ruler and compasses only for this question. Draw a circle of radius 4 cm and mark two chords AB and AC of the circle of length f 6 cm and 5 cm respectively.
(i) Construct the locus of points, inside the circle, that are equidistant from A and C. Prove your construction.
(ii) Construct the locus of points, inside the circle, that are equidistant from AB and AC.
locus-construction-icse-solutions-class-10-mathematics-29
locus-construction-icse-solutions-class-10-mathematics-30

Question 22. Draw two intersecting lines to include an angle of 30°. Use ruler and compass to locate points, which are equidistant from these lines and also 2 cm away from these points of intersection. How many such points exist ?
locus-construction-icse-solutions-class-10-mathematics-31

Question 23. How will you find a point equidistant from three given points A, B, C which are not in the same straight line?
locus-construction-icse-solutions-class-10-mathematics-32

Question 24. Without using set squares or protractor.
locus-construction-icse-solutions-class-10-mathematics-33

locus-construction-icse-solutions-class-10-mathematics-34
locus-construction-icse-solutions-class-10-mathematics-35

locus-construction-icse-solutions-class-10-mathematics-36

locus-construction-icse-solutions-class-10-mathematics-37
locus-construction-icse-solutions-class-10-mathematics-38

Question 28. Use ruler and compasses only for this question. Draw a circle of radius 4 cm and mark two chords AB and AC of the circle of length 6 cm and 5 cm respectively.
(i) Construct the locus of points, inside the circle, that are equidistant from A and C. Prove your construction.
(ii) Construct the locus of points, inside the circle, that are equidistant from AB and AC.
locus-construction-icse-solutions-class-10-mathematics-39
With C as centre and the same radius, draw two arcs on opposite sides of AC to intersect the former arcs at P and Q.
Join PQ and produce to cut the circle at D and E.
Join DE. Then chord DE is the locus of points inside the circle that Ls equidistant from A and C.
As chord DE passes through (he centre O of the circle, it is a diameter. To prove the construction take any point S inside the circle on DE.

Question 29. Use ruler and compasses only for the following questions:
locus-construction-icse-solutions-class-10-mathematics-40
locus-construction-icse-solutions-class-10-mathematics-41
locus-construction-icse-solutions-class-10-mathematics-42

Question 30. Ruler and compass only may be used in this question. All construction lines and arcs must be clearly shown, and be of sufficient length and clarity to permit assessment.
(i) Construct Δ ABC, in which BC = 8 cm, AB = 5 cm, ∠ ABC = 60°.
locus-construction-icse-solutions-class-10-mathematics-43
locus-construction-icse-solutions-class-10-mathematics-44
locus-construction-icse-solutions-class-10-mathematics-45

Question 31. Ruler and compasses only may be used in this question. All construction lines and arcs must be clearly shown, and be of sufficient length and clarity to permit assessment.
locus-construction-icse-solutions-class-10-mathematics-46
locus-construction-icse-solutions-class-10-mathematics-47

locus-construction-icse-solutions-class-10-mathematics-48
locus-construction-icse-solutions-class-10-mathematics-49
locus-construction-icse-solutions-class-10-mathematics-50

Graphical Depiction

Question 1. Use graph paper for this question. Take 2 cm = 1 unit on both axis.
(i) Plot the points A (1, 1), B (5, 3) and C (2, 7);
(ii) Construct the locus of points equidistant from A and B;
(iii) Construct the locus of points equidistant from AB and AC;
(iv) Locate the point P such that PA = PB and P is equidistant from AB and AC;
(v) Measure and record the length PA in cm.
locus-icse-solutions-class-10-mathematics-1
locus-icse-solutions-class-10-mathematics-2

For More Resources

Shares and Dividends Class 10 Maths ICSE Solutions

Get ICSE Solutions for Class 10 Mathematics Chapter 4 Shares and Dividends for ICSE Board Examinations on ICSESolutions.com. We provide step by step Solutions for ICSE Mathematics Class 10 Solutions Pdf. You can download the Class 10 Maths ICSE Textbook Solutions with Free PDF download option.

ICSE Solutions   Selina ICSE Solutions

Shares and Dividends Class 10 Maths ICSE Solutions

Download Formulae Handbook For ICSE Class 9 and 10

Formulae

  1. The nominal value (N.V.) of a share is also called the Register value, printed value, Face value (F.V.), etc.
  2. The price of a share at any particular time is called its Market value (M.V.).
  3. The market value of a share can be the same, more or less than the nominal value oi the share depending upon the performance and profits of the company.
    1. If the market value of a share is the same as its nominal value, the share is said to be at par.
    2. If the market value of a share is more than its nominal value, the share is said to be above par or at a premium.
    3. If the market value of a share is less than its nominal value, the share is said to be below par or at a discount.
  4. The profit, which a share-holder gets (out of the profits of the company) from his investment in the company, is called dividend.
    The dividend is always expressed as a percentage of the nominal value, of the share.
  5. Sum invested = No, of shares bought × M.V. of 1 share
    If the share is at par, market value = nominal value
    i.e., M.V. = N.V.

icse-solutions-class-10-mathematics-5

Formulae Based Questions

Question 1. A man invested Rs. 45,000 in 15% Rs. 100 shares quoted at Rs. 125. When the market value of these share rose to Rs. 140. He sold same shares, just enough to raise Rs. 8,400 calculate.
(i) The number of shares he still holds.
(ii) The dividend due to him on remaining shares.
icse-solutions-class-10-mathematics-28

Question 2. (i) Which in better investment: 7% Rs. 100 shares at Rs.120 or 8% Rs. 10 shares at Rs. 13.50.
(ii) Mamta invested Rs. 10,846 in buying the shares of a company at Rs. 17 each. If the face value of each share be? 10 and company paid 15% dividend at the end of the year, find the dividend earned by her.
icse-solutions-class-10-mathematics-29
icse-solutions-class-10-mathematics-30

Question 3. Ajay owns 560 shares of a company. The face value of each share is Rs. 25. The company declares a dividend of 9%. Calculate:
(i) The dividend that Ajay will get.
(ii) The rate of interest on his investment, if Ajay had paid Rs. 30 for each share.
icse-solutions-class-10-mathematics-31

For More Resources

Reflection Class 10 Maths ICSE Solutions

Get ICSE Solutions for Class 10 Mathematics Chapter 7 Reflection for ICSE Board Examinations on ICSESolutions.com. We provide step by step Solutions for ICSE Mathematics Class 10 Solutions Pdf. You can download the Class 10 Maths ICSE Textbook Solutions with Free PDF download option.

ICSE Solutions   Selina ICSE Solutions

Reflection Class 10 Maths ICSE Solutions

Download Formulae Handbook For ICSE Class 9 and 10

Formulae

  1. Rule to find the reflection of a point in the x-axis:
    (i) Retain the abscissa i.e. x-coordinate.
    (ii) Change the sign of ordinate i.e. y-coordinate.
  2. Rule to find the reflection of a point in the y-axis:
    (i) Change the sign of abscissa i.e., x-coordinate.
    (ii) Retain the ordinate i.e., y-coordinate.
  3. Reflection of a point in a line parallel to x-axis. The reflection of the point P(x, y) in the line y = a is the point P(x, -y+2a).
  4. Reflection of a point in a line parallel to y-axis. The reflection of the point P(x, y) in the line x = a is the point P’ (-x+2a, y).
  5. Reflection of a point in the origin:
    (i) Change the sign of abscissa i.e., x-coordinate.
    (ii) Change the sign of ordinate i.e., y-coordinate.
  6. A point is called an Invariant point with respect to a given line if and only if lies on the line.

Determine the Following

Question 1. The triangle A(1, 2), B(4, 4) and C(3, 7) is first reflected in the line y = 0 onto triangle A’B’C’ and then triangle A’B’C’ is reflected in the origin onto triangle A”B”C”. Write down the co-ordinates of:
icse-solutions-class-10-mathematics-155
icse-solutions-class-10-mathematics-156

Question 2. The point P (a, b) is first reflected in the origin and then reflected on the Y-axis to p’. If P’ has co-ordinates (3, – 4), evaluate a, b.
icse-solutions-class-10-mathematics-157

Figure Based Questions

Question 1. Name the figure formed by a triangle and its reflection, when:
(i) An isosceles right-angled triangle is reflected in its hypotenuse.
(ii) A right-angled triangle is reflected in its hypotenuse.
(iii) An isosceles triangle is reflected in its unequal side.
(iv) A scalene triangle is reflected in its greatest side.
Solution:
icse-solutions-class-10-mathematics

Graphical Depiction

Question 1. Find the co-ordinates of the images of the following under reflection in the origin:
reflection-icse-solutions-class-10-mathematics-1
reflection-icse-solutions-class-10-mathematics-2
reflection-icse-solutions-class-10-mathematics-3

Question 2. The image of a point P under reflection on the X-axis is (5, – 2). Write down the co-ordinates of P.
reflection-icse-solutions-class-10-mathematics-4

Question 3. Write down the co-ordinates of the image of (5, – 4).
(i) Reflection in x = 0;
(ii) Reflection in y = 2.
reflection-icse-solutions-class-10-mathematics-5

Question 4. Use a graph paper for this question.
(i) The point P (2, – 4) is reflected about the line x = 0 to get the image Q. Find the coordinates of Q.
(ii) Point Q is reflected about the line y = 0 to get the image R. Find the co-ordinates of R.
(iii) Name the figure PQR.
(iv) Find the area of figure PQR.
reflection-icse-solutions-class-10-mathematics-6
reflection-icse-solutions-class-10-mathematics-7

Question 5. Using a graph paper, plot the points A (6,4) and B (0,4).
(i) Reflect A and B in the origin to get the images A’ and B’.
(ii) Write the co-ordinates of A’ and B’.
(iii) State the geometrical name for. the figure ABA’B’.
(iv) Find its perimeter.
reflection-icse-solutions-class-10-mathematics-8
reflection-icse-solutions-class-10-mathematics-9

Question 6. (i) Find the reflection of the point (3, 5) on X-axis.
(ii) Find the reflection of the point (- 3, 5) on X-axis.
(iii) Find the reflection of the point (- 3, – 5) on X-axis.
(iv) Find the reflection of the point (3, – 5) on X-axis.
reflection-icse-solutions-class-10-mathematics-10

Question 7. P, Q have co-ordinates (-1, 2) and (6, 3) respectively. Reflect P on the X-axis to P’. Find:
(i) The co-ordinate of P’
(ii) Length of P’Q.
(iii) Length of PQ.
(iv) Is P’Q = PQ ?
reflection-icse-solutions-class-10-mathematics-11

Question 8. A point P(4, – 1) is reflected to P’ in the line y = 2 followed by the reflection to P” in the line x = -1. Find :
(i) The co-ordinates of P’.
(h) The co-ordinates of P”.
(iii) The length of PP’.
(iv) The length of P’P”.
reflection-icse-solutions-class-10-mathematics-12
reflection-icse-solutions-class-10-mathematics-13

Question 9. Point A (5, 1) on reflection on X- axis is mapped as A’. Also A on reflection on Y- axis is mapped as A”.
(i) Write the co-ordinates of A’.
(ii) Write the co-ordinates of A”.
(iii) Calculate the distance A’ A”.
(iv) On which coordinate axis does the middle point M of A”A’ lie ?
reflection-icse-solutions-class-10-mathematics-14

Question 10. Point A(4, – 1) is reflected as A’ on Y-axis. Point B on refletion on X-axis is mapped as B’ (- 2, 5).
(i) Write the co-ordinates of A’.
(ii) Write the co-ordinates of B.
(iii) Write the co-ordinates of the middle point
M of the segment A’B.
(iv) Write the co-ordinates of the point of reflection A” of A on X-axis.
reflection-icse-solutions-class-10-mathematics-15

Question 11. Point A (2, -4) is reflected in origin as A’. Point B (- 3, 2) is reflected on X-axis as B’.
(i) Write the co-ordinates of A’.
(ii) Write the co-ordinates of B’.
(iii) Calculate the distance A’B’.
Give your answer correct to 1 decimal place, (do not consult tables).
reflection-icse-solutions-class-10-mathematics-16
reflection-icse-solutions-class-10-mathematics-17

Question 12. (i) Point P(a, b) reflected on the X-axis to P'(5, 2). Write down the value of a and b.
(ii) P” is the image of P when reflected on the Y-axis. Write down the co-ordinates of P”.
(iii) Name a single transformation that maps P’ to P”.
reflection-icse-solutions-class-10-mathematics-18

Question 13. Points (3, 0) and (-1, 0) are invarient points under reflection in the line L1; point (0, -3) and (0, 1) are invarient points on reflection in line L2.
reflection-icse-solutions-class-10-mathematics-19
reflection-icse-solutions-class-10-mathematics-20

Question 14. A point P(a, b) is reflected in the X-axis to P'(2, – 3). Write down the value of a & b. P” is the image of P, when reflected on the Y-axis. Write down the co-ordinates of P” when P is reflected in the line parallel to the Y-axis, such that x = 4.
reflection-icse-solutions-class-10-mathematics-21

Question 15. Use a graph paper to answer the following questions. (Take 1 cm = 1 unit on both axis):
(i) Plot A (4, 4), B (4, – 6) and C (8, 0), the vertices of a triangle ABC.
(ii) Reflect ABC on the y-axis and name it as A’B’C’.
(iii) Write the coordinates of the images A’, B’ and C’.
(iv) Give a geometrical name for the figure AA’ C’B’ BC.
(v) Identify the line of symmetry of AA’ C’ B’ BC.
reflection-icse-solutions-class-10-mathematics-22

Question 16. Use a graph paper for this question. (Take 10 small divisions = 1 unit on both axis). P and Q have co-ordinates (0, 5) (- 2, 4).
(i) P is invariant when reflected in an axis. Name the axis.
(ii) Find the image of Q on reflection in the axis found in (i).
(iii) (0, k) on reflection in the origin is invariant. Write the value of k.
(iv) Write the co-ordinates of the image of Q, obtained by reflecting it in the origin following by reflection in x-axis.
reflection-icse-solutions-class-10-mathematics-23
reflection-icse-solutions-class-10-mathematics-24
reflection-icse-solutions-class-10-mathematics-25
reflection-icse-solutions-class-10-mathematics-26
reflection-icse-solutions-class-10-mathematics-27

Question 18. The point P(3, 4) is reflected to P’ in the x-axis and O’ is the image of O (the Origin) in the line PP’ Find :
(i) The coordinates of P’ and O’.
(ii) The length of segment PP’ and OO’.
(iii) The perimeter of the quadrilateral POP’O’
(iv) What is the special name of the quadrilateral POP’O’.
reflection-icse-solutions-class-10-mathematics-28

Question 19. Use graph paper for this question.
The points A (2, 3), B (4, 5) and C (7, 2) are the ,vertices of A ABC.
(i) Write down the coordinates of A’, B’, C’ if Δ A’B’C’ is the image of Δ ABC, when reflected in the origin.
(ii) Write down the co-ordinates of A”, B”, C” if A”B”C” is the image of Δ ABC, when reflected in the x-axis.
(iii) Mention the special name of the quadrilateral BCC”B” and find its area.
reflection-icse-solutions-class-10-mathematics-29
reflection-icse-solutions-class-10-mathematics-30
reflection-icse-solutions-class-10-mathematics-31
reflection-icse-solutions-class-10-mathematics-32

Question 20. Use a graph paper for this question (take 10 small divisions = 1 unit on both axis).
Plot the points P (3, 2) and Q (-3, -2), from P and Q draw perpendicular PM and QN on the X- axis.
(i) Name the image of P on reflection at the origin.
(ii) Assign, the . special name to the geometrical figure. PMQN and find its area.
(iii) Write the co-ordinates of the point to which M is mapped on reflection in (i) X- axis,
(ii) Y-axis, (iii) origin.
reflection-icse-solutions-class-10-mathematics-33

Question 21. Using graph paper and taking 1 cm = 1 unit along both x-axis and y-axis.
(i) Plot the points A (- 4, 4) and B (2, 2).
(ii) Reflect A and B in the origin to get the images A’ and B’ respectively.
(iii) Write down the co-ordinates of A’ and B’.
(iv) Give the geometrical name for the figure ABA’B’.
(v) Draw and name its lines of symmetry.
reflection-icse-solutions-class-10-mathematics-34

Question 22. Use graph paper for this question.
The point P (5, 3) was reflected in the origin to get the image P’.
(i) Write down the co-ordinates of P’.
(ii) If M is the foot of the perpendicular from of P to the X-axis, find the co-ordinates of M.
(iii) If N is the foot of the perpendicular from of P’ to the X-axis, find the co-ordinates of N.
(iv) Name the figure PMP’N.
(v) Find the area of die figure PMP’N.
reflection-icse-solutions-class-10-mathematics-35
reflection-icse-solutions-class-10-mathematics-36

Question 23. Use graph paper to answer this question:
(i) Plot the points A (4,6) and B (1, 2).
(ii) A’ is the image of A when reflected in X-axis,
(iii) B’ is the image of B when B is reflected in the line AA’.
(iv) Give the geometrical name for the figure ABA’B’.
reflection-icse-solutions-class-10-mathematics-37

Question 24. Use graph paper to answer the following questions. (Take 2 cm = 1 unit on both axis).
(i) Plot the points A (- 4, 2) and B (2, 4).
(ii) A’ is the image of A when reflected in the y-axis. Plot it on the graph paper and write the coordinates of A’.
(iii) B’ is the image of B when reflected in the line AA’. Write the coordinates of B’.
(iv) Write the geometric name of the figure ABA’B’.
(v) Name a line of symmetry of the figure formed.
reflection-icse-solutions-class-10-mathematics-38

For More Resources

Banking Class 10 Maths ICSE Solutions

Get ICSE Solutions for Class 10 Mathematics Chapter 3 Banking for ICSE Board Examinations on ICSESolutions.com. We provide step by step Solutions for ICSE Mathematics Class 10 Solutions Pdf. You can download the Class 10 Maths ICSE Textbook Solutions with Free PDF download option.

ICSE Solutions  Selina ICSE Solutions

Banking Class 10 Maths ICSE Solutions

Download Formulae Handbook For ICSE Class 9 and 10

Formulae

Calculating interest on a savings bank account:

  1. Interest for the month is calculated on the minimum balance between the 10th day and the last day of the month.
  2. Add all these balances. However, if the same balance continues for n months then multiply this balance by n, rather than writing it n times and then adding.
  3. Find simple interest on this sum for one month.
  4. If the interest is less than Rs. 1, neglect it.
  5. No interest is paid for the month in which the account is closed.

Calculation of maturity amount on recurring deposit:
The interest on the recurring deposit account can be calculated by using the formula:
icse-solutions-class-10-mathematics-4
where S.I. is the simple interest, P is the money deposited per month, n is the number of months for which the money has been deposited and r is the simple interest rate percent per annum.

Formulae Based Questions

Question 1. Naseem has a 5 years Recurring Deposit account in Punjab National Bank and deposit? Rs. 240 per month. If she receives Rs. 17,694 at the time of maturity find the rate of interest.
icse-solutions-class-10-mathematics-22

Question 2. Zafarullah has a recurring deposit The list price of the television be? 12,500. account in a bank for 3½ years at 9.5% S.I. p.a. If he gets Rs. 78,638 at the time of maturity. Find the monthly instalment.
icse-solutions-class-10-mathematics-23

Question 3. Mohan saves Rs. 25 per month from his pocket allowance and puts this saving every month in a bank recurring deposit scheme for a period of 72 months at 5.25%. What amount does he get on maturity?
Solution: See the table of Recurring deposit scheme. Here the month by instalment is Rs. 25 and the number of instalments is 72.
So the maturity value is the amount given in the table against the row marked 72 and the column marked 25. This amount is 2,721.90.
Hence, on maturity, Mohan gets Rs. 2,721.90.

Question 4. Using R.D., table calculate the values of a R.D., account of Rs. 80 for period of 9 months @ 11.5% p. a.
Solution: In the row of 80 we will locate the value under the column of 9 months which is 755.
So, maturity values of RD., account of 80 for 9 months @ 11.5% p.a Rs. 755.00.

Question 5. Veena deposits Rs. 100 per month in a bank cumulative time deposit scheme for a period of 5 years. What amount does she get on maturity if the rate of interest is 16%?
Solution: See the table of RD. scheme. For a monthly installment of Rs. 1oo per month the maturity values after 5 years is Rs. 8,447.80.

Question 6. Mrs. Goswami deposits Rs. 1000 every month in a recurring deposit account for 3 years at 8% interest per annum. Find the matured value.
icse-solutions-class-10-mathematics-24

Question 7. Amit deposited Rs. 150 per month in a bank for 8 months under the Recurring Deposit Scheme. What will be the maturity value of his deposits, if the rate of interest is 8% per annum and interest is calculated at the end of every month?
icse-solutions-class-10-mathematics-25

Question 8. Kiran deposited  200 per month for 36 months in a bank’s recurring deposit account. If the bank pays interest at the rate of 11% per annum, find the amount she gets on maturity.
icse-solutions-class-10-mathematics-26
icse-solutions-class-10-mathematics-27

Data Based Questions

Question 1. Given below are the entries in a Savings Bank A/c pass book:
icse-solutions-class-10-mathematics-1
Calculate the interest for six months from February to July at 6% p.a.
Solution:
icse-solutions-class-10-mathematics-2

Question 2. Mr. Dhoni has an account in the Union Bank of India. The following entries are from his pass book:
icse-solutions-class-10-mathematics-3
icse-solutions-class-10-mathematics-4

Question 3. Anita opens an S.B. account in State Bank of India on August 1, 1983 with Rs. 100. She deposits Rs. 100 on the first or second day every month till and including February 1,1984. In between she withdrawal Rs. 200 on October 17,1983 and also on January 13,1984. Write the entries of the passbook.
Solution: The entries in the pass book are given below:
icse-solutions-class-10-mathematics-5

Question 4. Akash, an employee of a bank, has a saving bank account in his bank that pays him
interest at the rate of 5% p.a., which is compounded every June and December. His pass book entries are as follow:
icse-solutions-class-10-mathematics-6
Calculate the interest due at the end of June and find the balance on July 1, if he deposits a cash of ?100 on July 1, which is also entered immediately.
Solution:
icse-solutions-class-10-mathematics-7

Question 5. Mr. Chaudhary opened a Saving’s Bank Account at State Bank of India on 1st April 2007.
icse-solutions-class-10-mathematics-8
If the bank pays interest at the rate of 5% per annum, find the interest paid on 1st April, 2008. Give your answer correct to the nearest rupee.
icse-solutions-class-10-mathematics-9
icse-solutions-class-10-mathematics-10

Question 6. A page of Passbook of Mrs. C. Malik Savings Bank Account in year 2002 is given below:
icse-solutions-class-10-mathematics-11
If the rate of interest decreases from 5% to 4% with effect from June 1st, 2002, compute the interest at the end of the year.
Solution: As per entries of the Passbook page of Mrs. C. Malik, we have:
icse-solutions-class-10-mathematics-12

Question 7. Suresh has joined a factory which pays wages by cheque only. He opens a S.B. account on Feb. 1, and his passbook has the following entries Upto 1st April of the year.
icse-solutions-class-10-mathematics-13
He closes the account on 11th April. Complete the entries for 11th April at the rate of 5% p.a. icse-solutions-class-10-mathematics-14

Question 8. A page from the passbook of Mrs. Rama Bhalla is given below:
Calculate the interest due to Mrs. Bhalla for the period from January 2004 to December 2004, at the rate of 5% per annum.
icse-solutions-class-10-mathematics-15
icse-solutions-class-10-mathematics-16
icse-solutions-class-10-mathematics-17

Question 9. A page from the Savings Bank Account of Mr. Prateek is given below:
icse-solutions-class-10-mathematics-18
icse-solutions-class-10-mathematics-19

Question 10. Mr. S.K. Mishra had a Savings Bank Account in Punjab National Bank. His Passbook had the following entries:
icse-solutions-class-10-mathematics-20
If the interest is paid at the rate of 5% per annum at the end of September every year, calculate the amount he will get if he closes the account on October 30, of the same year.
icse-solutions-class-10-mathematics-21

Question 11. The entries in the passbook of a Saving Bank Account holder are as follows:
icse-solutions-class-10-mathematics-22icse-solutions-class-10-mathematics-23
(i) If the account is dosed on Sept 29, 1986, then month of Sept., will not earn interest and principal for one month Rs. 16,800.
icse-solutions-class-10-mathematics-24

Question 12. Mrs. Kapoor opened a Savings Bank Account in State Bank of India on 9th January 2008. Her pass book entries for the year 2008 are given below:
icse-solutions-class-10-mathematics-25
Mrs. Kapoor closes the account on 31st December, 2008. If the bank pays interest at 4% per annum, find the interest Mrs. Kapoor receives on closing the account. Give your answer correct to the nearest rupee.
icse-solutions-class-10-mathematics-26

Question 13. Mr. Ashok has an account in the Central Bank of India. The following entries are from his pass book:
icse-solutions-class-10-mathematics-27
If Mr. Ashok gets Rs. 83.75 as interest at the end of the year where the interest is compounded annually, calculate the rate of interest paid by the bank in his Savings Bank Account on 31st December, 2005.
icse-solutions-class-10-mathematics-28
icse-solutions-class-10-mathematics-29

Question 14. Mr. Mishra has a Savings Bank Account in Allahabad Bank. His pass book entries are as follows:
icse-solutions-class-10-mathematics-30
Rate of interest paid by the bank is 4.5% per annum. Mr. Mishra closes his account on 30th October, 2007. Find the interest he receives.
icse-solutions-class-10-mathematics-31

Question 15. A page from the saving bank account of Priyanka is given below:
icse-solutions-class-10-mathematics-32
If the interest earned by Priyanka for the period ending September, 2006 is Rs. 175, find the rate of interest.
icse-solutions-class-10-mathematics-33

Question 16. Given the following details, calculate the simple interest at the rate of 6% per annum up to June, 30:
icse-solutions-class-10-mathematics-34

For More Resources

Symmetry Class 10 Maths ICSE Solutions

Get ICSE Solutions for Class 10 Mathematics Chapter 12 Symmetry for ICSE Board Examinations on ICSESolutions.com. We provide step by step Solutions for ICSE Mathematics Class 10 Solutions Pdf. You can download the Class 10 Maths ICSE Textbook Solutions with Free PDF download option.

ICSE Solutions  Selina ICSE Solutions

Symmetry Class 10 Maths ICSE Solutions

Download Formulae Handbook For ICSE Class 9 and 10

Figure Based Questions

Question 1. In each of the figure below, an additional line is indicated by dots. Observe, name the figure and state if the figure is symmetrical about the dotted line.
symmetry-icse-solutions-class-10-mathematics-1

Question 2. Every diameter of circle is an axis of the symmetry for the circle. Each of the figure below contain a circle or a part of a circle. State the number of axis of symmetry in each case and also indicate them.
symmetry-icse-solutions-class-10-mathematics-2

Question 3. Draw a line of symmetry of semi-circle.
symmetry-icse-solutions-class-10-mathematics-3

Question 4. In the figure below are:
(a) an isosceles triangle;
(b) an equilateral triangle; and
(c) a scalene triangle state in each case if the triangle is a symmetrical figure. If a figure is symmetrical, state the number of axis of symmetry and indicate them by dotted line.
symmetry-icse-solutions-class-10-mathematics-4
symmetry-icse-solutions-class-10-mathematics-5

Question 5. Draw a diagram and name the figure in the following:
(i) A quadrilateral having four lines of symmetry, two of which contain its diagonals.
(ii) A triangle with only one line of symmetry.
(iii) A quadrilateral having only one line of symmetry.
symmetry-icse-solutions-class-10-mathematics-6

Question 6. In each of the figure below, state the number of axes of symmetry, if any.
symmetry-icse-solutions-class-10-mathematics-7

Question 7. Draw an isosceles ΔABC, where BC = 3.5 cm, the base angles C and B = 75°. Use ruler and compass only. Draw all lines of symmetry of the triangle.
symmetry-icse-solutions-class-10-mathematics-8

Question 8. Construct a rectangle ABCD with AB = 5 cm and AD = 3 cm. Construct its lines of symmetry.
symmetry-icse-solutions-class-10-mathematics-9

Question 9. Draw an equilateral triangle each of whose side is 4 cm. Draw all its lines of symmetry.
symmetry-icse-solutions-class-10-mathematics-10

Question 10. Draw two circles each of radius 2.5 cm touching each other. Construct the lines of symmetry of these circles.
symmetry-icse-solutions-class-10-mathematics-11

Question 11. Use a ruler and compass only in this question.
(i) Construct the quadrilateral ABCD in which AB = 5 cm, BC = 7 cm and angle ABC = 120°, given that AC is its only line of symmetry.
(ii) Write down the geometrical name of the quadrilateral.
symmetry-icse-solutions-class-10-mathematics-12
symmetry-icse-solutions-class-10-mathematics-13

Question 12. Part of geometrical figure is given in each of the diagrams below. Complete the figures, so that the line ‘m’, in each case, is the line of symmetry, of the completed figure. Recognizable free hand sketches, would be awarded full marks.
symmetry-icse-solutions-class-10-mathematics-14
symmetry-icse-solutions-class-10-mathematics-15
symmetry-icse-solutions-class-10-mathematics-16

Question 13. (i) Draw an equilateral triangle each of whose sides is 4 cm. Draw all its lines of symmetry.
(ii) Construct a ΔABC, in which AB = AC = 3 cm and BC = 2cm. Using a ruler and compasses only, draw the reflection of A’BC of ΔABC, in BC. Draw the lines of symmetry in the figure ABA’C.
symmetry-icse-solutions-class-10-mathematics-17

Question 14. A quadrilateral ABCD has exactly one axis of symmetry, which is not a diagonal. Show that the quadrilateral is an isosoeles trapezium.
symmetry-icse-solutions-class-10-mathematics-18
symmetry-icse-solutions-class-10-mathematics-19

Question 15. Part of a geometrical figure is given in each of the diagram below. Complete the figures so that both the X-axis and the Y-axis are lines of symmetry of the completed figure.
symmetry-icse-solutions-class-10-mathematics-20
symmetry-icse-solutions-class-10-mathematics-21
symmetry-icse-solutions-class-10-mathematics-22

Question 16. Part of a geometrical figure is given in each of the diagrams below. Complete the figures so. that the line AB in each case is a line of symmetry of the completed figure.
Give also the geometrical name for the completed figure. Recognizable free hand Sketches would be awarded full marks.
symmetry-icse-solutions-class-10-mathematics-23
symmetry-icse-solutions-class-10-mathematics-24
symmetry-icse-solutions-class-10-mathematics-25

For More Resources