ICSE ICSE Class 7 - CISCE Question Bank Solutions

Rs. 720 is divided between x and y in the ratio 4:5. How many rupees will each get?

Triangle XYZ is right-angled at vertex Z. Calculate the length of YZ, if XY = 13 cm and XZ = 12 cm.

The angles of a triangle are in the ratio 3 :2 : 7. Find each angle.

Triangle PQR is right-angled at vertex R. Calculate the length of PR, if: PQ = 34 cm and QR = 33.6 cm.

A rectangular field is 100 m by 80 m. Find the ratio of length to its breadth.

A rectangular field is 100 m by 80 m. Find the ratio of breadth to its perimeter.

The sides of a certain triangle is given below. Find, which of them is right-triangle

16 cm, 20 cm, and 12 cm

The sides of a certain triangle is given below. Find, which of them is right-triangle

6 m, 9 m, and 13 m

The sum of three numbers, whose ratios are `3 1/3 : 4 1/5 : 6 1/8` is 4917. Find the numbers.

The ratio between two quantities is 3:4. If the first number is 810, find the second number.

Two numbers are in the ratio 5: 7. Their difference is 10. Find the numbers.

In the given figure, angle BAC = 90°, AC = 400 m, and AB = 300 m. Find the length of BC.

Two numbers are in the ratio 10: 11. Their sum is 168. Find the numbers.

A line is divided into two parts in the ratio 2.5 : 1.3. If the smaller one is 35.1 cm, find the length of the line.

In a class, the ratio of boys to the girls is 7:8. What part of the whole class are girls?

In the given figure, angle ACP = ∠BDP = 90°, AC = 12 m, BD = 9 m and PA= PB = 15 m. Find:
(i) CP
(ii) PD
(iii) CD

The population of the town is 180,000, out of which males are `1/3` of the whole population. Find the number of females. Also, find the ratio of the number of females to the whole population.

Ten gram of an alloy of metals A and B contains 7.5 gm of metal A and the rest is metal B. Find the ratio between:

1. the weights of metals A and B in the alloy.
2. the weight of metal B and the weight of the alloy.

In triangle PQR, angle Q = 90°, find: PR, if PQ = 8 cm and QR = 6 cm

The ages of two boys A and B are 6 years 8 months and 7 years 4 months respectively. Divide Rs. 3,150 in the ratio of their ages.