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

In a right-angled triangle PQR, right-angled at Q, S and T are points on PQ and QR respectively such as PT = SR = 13 cm, QT = 5 cm and PS = TR. Find the length of PQ and PS.

PQR is an isosceles triangle with PQ = PR = 10 cm and QR = 12 cm. Find the length of the perpendicular from P to QR.

In a square PQRS of side 5 cm, A, B, C and D are points on sides PQ, QR, RS and SP respectively such as PA = PD = RB = RC = 2 cm. Prove that ABCD is a rectangle. Also, find the area and perimeter of the rectangle.

For the set of numbers given below, find mean: 5, 7, 8, 4, 6

For the set of numbers given below, find mean: 3, 0, 5, 2, 6, 2

Calculate man of the following: 4, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9, 9, 11, 3

The weight of the seven members of a family, in kilograms are given below:
20, 52, 56, 72, 64, 13, 80.
Find mean weight.

A boy scored the following marks in various class tests during a terminal exam, each test being marked out of 20.
17, 15, 16, 7, 10, 14, 12, 19, 16, 12
Find his average mean marks.

Individual scores of a school cricket eleven in a match are given below:
10, 9, 31, 45, 0, 4, 8, 15, 12, 0, 6
Find the average score.

The daily maximum relative humidity (in percent) in Mumbai from May 1 to May 7, 1992 is given below: 64, 70, 65, 80, 75, 78
Find the mean.

The marks obtained by 10 students are listed below:
2, 5, 3, 8, 0, 9, x, 6, 1, 8
If the mean marks is 5, find x.

The height of 8 students X in centimetres are given below:
148, 162, 160, 154, 170, 162, x, 152
If the mean height is 158, find x.

If the mean of 7, 16, 9, 15, 16, a, 12, 8, b, 11 is 12, write a in terms of b.

A test  out of 25 marks was given to 16 students and marks scored are recorded below:
25, 8, 14, 20, 16, 22, 10, 15, 8, 7, 24, 18, 19, 6, 11, 14
Find the mean marks

A test out of 25 marks was given to 16 students and marks scored are recorded below: 25, 8, 14, 20, 16, 22, 10, 15, 8, 7, 24, 18, 19, 6, 11, 14
In the report, marks were entered out of 50. What is the mean of the recorded marks in the report?

In History project, marks out of 20 were awarded to 8 students. The marks were as shown below:
14, 16, 18, 14, 16, 14, 12, 16
Find the mean marks.

In History project, marks out of 20 were awarded to 8 students. The marks were as shown below: 14, 16, 18, 14, 16, 14, 12, 16
Each of the above students was 2 extra marks for submitting the project a week before the due date. What is the revised mean of this group?

The mean of 16 natural numbers is 48. Find the resulting mean, if each of the number is  increased by 5

The mean of 16 natural numbers is 48. Find the resulting mean, if each of the number is decreased by 8

The mean of 16 natural numbers is 48. Find the resulting mean, if each of the number is multiplied by 4