(English Medium) ICSE Class 9 - CISCE Question Bank Solutions

Construct a rectangle ABCD, when AD = 3.2cm and diagonal BD = 5.5cm. Measure CD.

Construct a rectangle ABCD, when AB = 5cm and BC = 6.2cm.

Construct a rectangle ABCD with one diagonal AC = 5.8cm and the acute angle between the diagonals is equal to 45°.

Construct a rectangle ABCD with perimeter 18cm and AB = 6cm.

Construct a rectangle ABCCD, AB = 6cm. ∠CAB = 30°.

Construct a rectangle PQRS, when its Area = 21 cm² and length = 4.2cm

Construct a rectangle PQRS, when its Area = 33.8cm² and breadth = 6.5cm

A quadrilateral field of unequal has a longer diagonal with 140m. The perpendiculars from opposite vertives upon this diagonal are 20m and 14m. Find the area of the field.

The floor of a room is of size 6 m x 5 m. Find the cost of covering the floor of the room with 50 cm wide carpet at the rate of Rs.24.50 per metre. Also, find the cost of carpeting the same hall if the carpet, 60 cm, wide, is at the rate of Rs.26 per metre.

Find the area of a quadrilateral field whose sides are 12m, 9m, 18m and 21m respectively and the angle between the first two sides is a right angle. Take the value of `sqrt(6)` as 2.5.

Find the diagonal of a quadrilateral whose area is 756cm² and the perpendicular from the opposite vertices are 17cm and 19cm.

State whether true or false:

√2 + √3 = √5

State, in each case, whether true or false : 
2√4 + 2 = 6

3√7 - 2√7 = √7 

State, in each case, whether true or false : 
`2/7` ia an irrational number.

State, in each case, whether true or false :
`5/11` is a rational number.

State, in each case, whether true or false : 
All rational numbers are real numbers.

State, in each case, whether true or false : 
All real numbers are rational numbers.

State, in each case, whether true or false : 
Some real numbers are rational numbers.

Given universal set =
`{ -6, -5 3/4, -sqrt4, -3/5, -3/8, 0, 4/5, 1, 1 2/3, sqrt8, 3.01, π, 8.47 }`

From the given set, find: set of irrational numbers