Secondary School (English Medium) (5 to 8) Class 8 - CBSE Question Bank Solutions for Mathematics

Find the values of x and y in the following parallelogram.

Two angles of a quadrilateral are each of measure 75° and the other two angles are equal. What is the measure of these two angles? Name the possible figures so formed.

ABCD is a parallelogram. Find the value of x, y and z.

ABCD is a parallelogram. The bisector of angle A intersects CD at X and bisector of angle C intersects AB at Y. Is AXCY a parallelogram? Give reason.

A diagonal of a parallelogram bisects an angle. Will it also bisect the other angle? Give reason.

The angle between the two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is 45°. Find the angles of the parallelogram.

ABCD is a parallelogram. Points P and Q are taken on the sides AB and AD respectively and the parallelogram PRQA is formed. If ∠C = 45°, find ∠R.

In parallelogram ABCD, the angle bisector of ∠A bisects BC. Will angle bisector of B also bisect AD? Give reason.

In the following figure, FD || BC || AE and AC || ED. Find the value of x.

Construct a parallelogram ABCD in which AB = 4 cm, BC = 5 cm and ∠B = 60°.

Construct a parallelogram HOME with HO = 6 cm, HE = 4 cm and OE = 3 cm.

Construct a parallelogram when one of its side is 4 cm and its two diagonals are 5.6 cm and 7 cm. Measure the other side.

Multiply the following:

b³, 3b², 7ab⁵ 

Ashima took a loan of Rs 1,00,000 at 12% p.a. compounded half-yearly. She paid Rs 1,12,360. If (1.06)² is equal to 1.1236, then the period for which she took the loan is ______.

For calculation of interest compounded half yearly, keeping the principal same, which one of the following is true?

Amount when interest is compounded annually is given by the formula ______.

When principal P is compounded semi-annually at r % per annum for t years, then amount ______.

The compound interest on Rs 8,000 for one year at 16% p.a. compounded half yearly is ______, given that (1.08)² = 1.1664.

If amount on the principal of Rs 6,000 is written as `6000 [1 + 5/100]^3` and compound interest payable half yearly, then rate of interest p.a. is ______ and time in years is ______.

The compound interest on a sum of Rs P for T years at R% per annum compounded annually is given by the formula `P(1 + R/100)`.