(English Medium) ICSE Class 10 - CISCE Question Bank Solutions for Mathematics

If 3x + 4 : x + 5 is the duplicate ratio of 8 : 15, find x.

If 4x + 4 : 9x – 10 is the triplicate ratio of 4 : 5, find x.

If `(a + b)/(am + bn)= (b + c)/(mb + nc )= (c + a)/(mc + na)` prove that each of theseccc `2/(m+n)`provided  a + b + c ≠ 0

Two numbers are in the ratio 5:7. If 3 is subtracted from each of them, the ratio between them becomes 2:3. Find the numbers.

If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find A – B + C

If M = `[(2,1),(1,-2)] `; find M², M³ and M⁵.

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Use ruler and compass only for answering this question.

Draw a circle of radius 4 cm. Mark the centre as O. Mark a point P outside the circle at a distance of 7 cm from the centre. Construct two tangents to the circle from the external point P.

Measure and write down the length of any one tangent.

Using properties of proportion solve for x, given

`(sqrt(5x)+sqrt(2x -6))/(sqrt(5x)- sqrt(2x -6)) = 4`

Calculate the amount and the compound interest for the following:

Rs. 7500 at 12% p.a. in 3 years.

Calculate the amount and the compound interest for the following:

Rs.20, 000 at9°/o p.a. in  `2 1/3` years

Calculate the amount and the compound interest for the following:

Rs.25, 000 at `8 2/5 %` p.a. in `1 1/3` years

A sum of Rs. 65000 is invested for 3 years at 8 % p.a. compound interest.

Find the sum due at the end of the first year.

A sum of Rs. 65000 is invested for 3 years at 8 % p.a. compound interest.

Find the sum due at the end of the second year.