ICSE ICSE Class 6 - CISCE Question Bank Solutions for Mathematics

In a trapezium ABCD, side AB is parallel to side DC. If ∠A = x° and ∠D = (3x – 20)°; find the value of x.

The angles A, B, C and D of a trapezium ABCD are in the ratio 3: 4: 5: 6. Le. ∠A : ∠B : ∠C : ∠D = 3:4: 5 : 6. Find all the angles of the trapezium. Also, name the two sides of this trapezium which are parallel to each other. Give reason for your answer.

In an isosceles trapezium one pair of opposite sides are _____ to each Other and the other pair of opposite sides are _____ to each other.

Two diagonals of an isosceles trapezium are x cm and (3x – 8) cm. Find the value of x.

Angle A of an isosceles trapezium ABCD is 115°; find the angles B, C and D.

Two opposite angles of a parallelogram are 100° each. Find each of the other two opposite angles.

Two adjacent angles of a parallelogram are 70° and 110° respectively. Find the other two angles of it.

The angles A, B, C and D of a quadrilateral are in the ratio 2 : 3 : 2 : 3. Show this quadrilateral is a parallelogram.

In a parallelogram ABCD, its diagonals AC and BD intersect each other at point O.

If AC = 12 cm and BD = 9 cm ; find; lengths of OA and OD.

In parallelogram ABCD, its diagonals intersect at point O. If OA = 6 cm and OB = 7.5 cm, find the length of AC and BD.

In parallelogram ABCD, ∠A = 90°

(i) What is the measure of angle B.

(ii) Write the special name of the parallelogram.

One diagonal of a rectangle is 18 cm. What is the length of its other diagonal?

If three angles of a quadrilateral are 90° each, show that the given quadrilateral is a rectangle.

The diagonals of a rhombus are 6 .cm and 8 cm. State the angle at which these diagonals intersect.

Write, giving reason, the name of the figure drawn alongside. Under what condition will this figure be a square.

Write two conditions that will make the adjoining figure a square.

Use the figure given below to fill in the blank:

R is the _______ of the circle.

Use the figure given below to fill in the blank:

Diameter of a circle is ______.

Use the figure given below to fill in the blank:

Tangent to a circle is _______.

Use the figure given below to fill in the blank:

EF is a ______ of the circle.