ICSE ICSE Class 7 - CISCE Question Bank Solutions for Mathematics

Evaluate: 2⁸ ÷ 2³ 

In ∆ ABC, BA and BC are produced. Find the angles a and h. if AB = BC.

The diagonal of a square is `12sqrt2` cm. Find its perimeter.

In Figure, BP bisects ∠ABC and AB = AC. Find x.

Find x in Figure Given: DA = DB = DC, BD bisects ∠ABC and∠ADB = 70°.

In the figure, given below, ABCD is a square, and ∆ BEC is an equilateral triangle. Find, the case:∠ABE

In the figure, given below, ABCD is a square, and ∆ BEC is an equilateral triangle. Find, the case:∠BAE

Complete the following table:

In the given figure, find the image of the point P in the line AB:

In the given figure, find the image of the point P in the line AB:

In the given figure, find the image of the line segment AB in the line PQ:

In the given figure, find the image of the line segment AB in the line PQ:

A point P (7,3) is reflected in the x-axis to point P’. The point P’ is further reflected in v-axis to point P” Find :
(i) the coordinates of P’
(ii) the co-ordinates of P”
(iii) the image of P (7, 3) in origin.

The point P (3, – 8) is reflected in origin to point Q. The Point Q is further reflected in the x-axis to point R. Find :
(i) the co-ordinates of Q
(ii) the co-ordinates of R
(iii) the image of P (3, – 8) in the y-axis.

A point A (- 5, 4) is reflected in y-axis to point B. The point B is further reflected in origin to point C. find :
(i) the co-ordinates of B
(ii) the co-ordinates of C
(iii) the image of A (- 5, 4) in x-axis.

Each of the points A (3, 0), B (7, 0), C (- 8, 0), D (- 7, 0) and E (0, 0) is reflected in x-axis to points A’, B’, C’, D’ and E’ respectively. Write the co-ordinates of each of the image points A’, B’, C’, D’ and E’.

Each of the points A (0, 4), B (0, 10), C (0, – 4), D (0, – 6) and E (0, 0) is reflected in y-axis to points A’, B’, C’, D’ and E’ respectively. Write the co-ordinates of each of the image points A’, B’, C’, D’ and E’.

Each of the points A (0, 7), B (8, 0), C (0, − 5), D (− 7, 0) and E (0, 0) are reflected in origin to points A’, B’, C’, D’ and E’ respectively. Write the co-ordinates of each of the image points A’, B’, C’, D’ and E’.

Mark points A (4, 5) and B (− 5, 4) on a graph paper. Find A’, the image of A in x-axis and B’, the image of B in x-axis.
Mark A’ and B’ also on the same graph paper. Join AB and A’ B’ and find if AB = A’ B’?

Mark points A (6, 4) and B (4, – 6) on a graph paper.
Find A’, the image of A in y-axis and B’, the image of B in the y-axis. Mark A’ and B’ also on the same graph paper.