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

Apple cost x rupees per dozen and mangoes cost y rupees per score. Write a formula to find the total cost C in rupees of 20 apples and 30 mangoes.

Make R the subject of formula A = `"P"(1 + "R"/100)^"N"`

Make L the subject of formula T = `2pisqrt("L"/"G")`

Make a the subject of formula S = `"ut" + (1)/(2)"at"^2`

Make x the subject of formula `"a"x^2/"a"^2 + y^2/"b"^2` = 1

Make a the subject of formula S = `("a"("r"^"n" - 1))/("r" - 1)`

Make r₂ the subject of formula `(1)/"R" = (1)/"r"_1 + (1)/"r"_2`

Make a the subject of formula x = `sqrt(("a" + "b")/("a" - "b")`

Make y the subject of formula W = `"pq" + (1)/(2)"wy"^2`

Make N the subject of formula I = `"NG"/("R" + "Ny")`

Make V the subject of formula K = `(1)/(2)"MV"^2`

Make d the subject of formula S = `"n"/(2){2"a" + ("n" - 1)"d"}`

Make R₂ the subject of formula R² = 4π(R₁² - R₂²)

Make A the subject of formula R = `("m"_1"B" + "m"_2"A")/("m"_1 + "m"_2)`

Make c the subject of formula x = `(-"b" ± sqrt("b"^2 - 4"ac"))/(2"a")`

Make k the subject of formula T = `2pisqrt(("k"^2 + "h"^2)/"hg"`

Given: mx + ny = p and y = ax + b. Find x in terms of m, n, p, a and b.

If A =  pr² and C = 2pr, then express r in terms of A and C.

If V = pr²h and S = 2pr² + 2prh, then express V in terms of S, p and r.

If 3ax + 2b² = 3bx + 2a², then express x in terms of a and b. Also, express the result in the simplest form.