ICSE ICSE Class 8 - CISCE Question Bank Solutions

Construct a rectangle ABCD; if :

BC = 6.1 cm and CD = 6.8 cm.

Construct a rectangle ABCD; if :

AB = 5.0 cm and diagonal AC = 6.7 cm.

Construct a rectangle ABCD; if :

AD = 4.8 cm and diagonal AC = 6.4 cm.

Construct a rectangle ABCD; if :

each diagonal is 6 cm and the angle between them is 45°.

Construct a rectangle ABCD; if :

each diagonal is 5.5 cm and the angle between them is 60°.

Find the quotient when 73 – 37 is divided by 4.

Find which of the following numbers are divisible by 4:
(i) 360
(ii) 3180
(iii) 5348
(iv) 7756

42 × 8 divisible by 4?

9142x a multiple of 4?

Divide: a² + 7a + 12 by a + 4

Divide: x² + 3x − 54 by x − 6

Divide: 12x² + 7xy − 12y² by 3x + 4y

Divide: x⁶ − 8 by x² − 2

Divide: 6x³ − 13x² − 13x + 30 by 2x² − x − 6

Divide: 4a² + 12ab + 9b² − 25c² by 2a + 3b + 5c

Divide: 16 + 8x + x⁶ − 8x³ − 2x⁴ + x² by x + 4 − x³

Find the quotient and the remainder when :
a³ − 5a² + 8a + 15 is divided by a + 1. verify your answer.

Find the quotient and the remainder when 3x⁴ + 6x³ − 6x² + 2x − 7 is divided by x − 3. in case, verify your answer.

Find the quotient and the remainder when :
6x² + x  − 15 is divided by 3x + 5. verify your answer.

The area of a rectangle is x³ – 8x + 7 and one of its sides is x – 1. Find the length of the adjacent side.