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

The age of the father is seven times the age of the son. Ten years later, the age of the father will be thrice the age of the son. Find their present ages.

A father's age is three times the age of his child. After 12 years, twice the age of father will be 36 more than thrice the age of his child. Find his present age.
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In a ABC, ∠A = x°, ∠B = (2x - 30)°, ∠C = y° and also, ∠A + ∠B = one right angle. Find the angles. Also, state the type of this triangle.

A two-digit number is such that the ten's digit exceeds thrice the unit's digit by 3 and the number obtained by interchanging the digits is 2 more than twice the sum of the digits. Find the number.

The ratio of passed and failed students in an examination was 3 : 1. Had 30 less appeared and 10 less failed, the ratio of passes to failures would have been 13 : 4. Find the number of students who appeared for the examination.

Samidha and Shreya have pocket money Rs.x and Rs.y respectively at the beginning of a week. They both spend money throughout the week. At the end of the week, Samidha spends Rs.500 and is left with as much money as Shreya had in the beginning of the week. Shreya spends Rs.500 and is left with `(3)/(5)` of what Samidha had in the beginning of the week. Find their pocket money.

Evaluate the following : 6°

Evaluate the following: `(1/2)^-3`

Evaluate the following: `(0.008)^(2/3)`

Evaluate the following: `(0.00243)^(-3/5)`

Evaluate the following: `root(6)(25^3)`

Evaluate the following: `(2 10/27)^(2/3)`

Evaluate the following:

`9^4 ÷ 27^(-2/3)`

Evaluate the following:

`7^-4 xx (343)^(2/3) ÷ (49)^(-1/2)`

Evaluate the following:

`(64/216)^(2/3) xx (16/36)^(-3/2)`

State true or false in the following:
If log ₂ 8 = 3, then log ₈ 2 = `(1)/(3)`

Construct an isosceles triangle in which: Base BC = 6.4 cm and side AB = 7.2 cm

Construct an isosceles triangle in which: Base QR = 5.2 cm and the altitude PM = 4.8 cm

Construct an isosceles triangle in which: Base DE = 6 cm and ∠F = 45°

Construct an isosceles triangle using the given data: Altitude RM = 5cm and vertex ∠R = 120°