ICSE ICSE Class 7 - CISCE Question Bank Solutions for Mathematics

In an isosceles triangle, each base angle is four times its vertical angle. Find all the angles of the triangle.

Express the following in exponential form: 1350

Express the following in exponential form: 1176

The vertical angle of an isosceles triangle is 15° more than each of its base angles. Find each angle of the triangle.

If a = 2 and b = 3, find the value of: (a + b)² 

The base angle of an isosceles triangle is 15° more than its vertical angle. Find its each angle.

If a = 2 and b = 3, find the value of: (b – a)³ 

If a = 2 and b = 3, find the value of: (a x b)^a 

If a = 2 and b = 3, find the value of: (a x b)^b 

Express: 1024 as a power of 2.

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.