ICSE ICSE Class 7 - CISCE Question Bank Solutions

The vertical angle of an isosceles triangle is three times the sum of its base angles. Find each angle.

Express: 729 as a power of 3.

Express: 343 as a power of 7.

The ratio between a base angle and the vertical angle of an isosceles triangle is 1: 4. Find each angle of the triangle.

If 27 × 32 = 3^x × 2^y; find the values of x and y.

27 × 32 = 3^x × 2^y 

27 = 3^x 

If 64 x 625 = 2^a x 5^b ; find:  the values of a and b.

If 64 x 625 = 2^a x 5^b ; find: 2^b x 5^a 

Fill in the blanks:

In 5² = 25, base = _______ and index = _________. 

Fill in the blank:

If index = 3x and base = 2y, the number = ______.

In the given figure, BI is the bisector of ∠ABC and Cl is the bisector of ∠ACB. Find ∠BIC.

Evaluate: 2⁸ ÷ 2³ 

In ∆ ABC, BA and BC are produced. Find the angles a and h. if AB = BC.

The diagonal of a square is `12sqrt2` cm. Find its perimeter.

In Figure, BP bisects ∠ABC and AB = AC. Find x.

Find x in Figure Given: DA = DB = DC, BD bisects ∠ABC and∠ADB = 70°.

In the figure, given below, ABCD is a square, and ∆ BEC is an equilateral triangle. Find, the case:∠ABE

In the figure, given below, ABCD is a square, and ∆ BEC is an equilateral triangle. Find, the case:∠BAE

Complete the following table:

In the given figure, find the image of the point P in the line AB:

In the given figure, find the image of the point P in the line AB: