ICSE ICSE Class 6 - CISCE Question Bank Solutions for Mathematics

Two angles of a quadrilateral are 89° and 113°. If the other two angles are equal; find the equal angles.

Two angles of a quadrilateral are 68° and 76°. If the other two angles are in the ratio 5 : 7; find the measure of each of them.

Angles of a quadrilateral are (4x)°, 5(x+2)°, (7x – 20)° and 6(x+3)°. Find :

(i) the value of x.
(ii) each angle of the quadrilateral.

Use the information given in the following figure to find :

(i) x
(ii) ∠B and ∠C

In quadrilateral ABCD, side AB is parallel to side DC. If ∠A : ∠D = 1 : 2 and ∠C : ∠B = 4 : 5

(i) Calculate each angle of the quadrilateral.

(ii) Assign a special name to quadrilateral ABCD

From the following figure find;

1. x
2. ∠ABC
3. ∠ACD

Given : In quadrilateral ABCD ; ∠C = 64°, ∠D = ∠C – 8° ; ∠A = 5(a+2)° and ∠B = 2(2a+7)°.
Calculate ∠A.

In the given figure : ∠b = 2a + 15 and ∠c = 3a + 5; find the values of b and c.

Three angles of a quadrilateral are equal. If the fourth angle is 69°; find the measure of equal angles.

In quadrilateral PQRS, ∠P : ∠Q : ∠R : ∠S = 3 : 4 : 6 : 7.
Calculate each angle of the quadrilateral and then prove that PQ and SR are parallel to each other
(i) Is PS also parallel to QR?
(ii) Assign a special name to quadrilateral PQRS.

Use the information given in the following figure to find the value of x.

The following figure shows a quadrilateral in which sides AB and DC are parallel. If ∠A : ∠D = 4 : 5, ∠B = (3x – 15)° and ∠C = (4x + 20)°, find each angle of the quadrilateral ABCD.

State whether or not the following elements form a set; if not, give reason:

All easy problems in your text book

State whether or not the following elements form a set; if not, give reason:

All three sided figures

State whether or not the following elements form a set; if not, give reason:

The first five counting numbers

State whether or not the following elements form a set; if not, give reason:

All the tall boys of your class

State whether or not the following elements form a set; if not, give reason:

The last three days of the week

State whether or not the following elements form a set; if not, give reason:

All triangles that are difficult to draw

State whether or not the following elements form a set; if not, give reason:

All tasty fruits

State whether or not the following elements form a set; if not, give reason:

 The first three letters of the English alphabet