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

Evaluate: `(sin 80°)/(cos 10°)`+ sin 59° sec 31°

Evaluate: `2(tan57°)/(cot33°) - (cot70°)/(tan20°) - sqrt(2) cos 45°`

Evaluate: `(cot^2 41°)/(tan^2 49°) - 2 (sin^2 75°)/(cos^2 15°)`

Evaluate: 14 sin 30°+ 6 cos 60°- 5 tan 45°.

A triangle ABC is right-angled at B; find the value of `(sec "A". sin "C" - tan "A". tan "C")/sin "B"`.

In the case, given below, find the value of angle A, where 0° ≤ A ≤ 90°.
sin (90° - 3A).cosec 42° = 1.

In the case, given below, find the value of angle A, where 0° ≤ A ≤ 90°.

cos(90° - A) · sec 77° = 1

For the equation given below; name the dependent and independent variables.
y = `(4)/(3)x` - 7

For the equation given below; name the dependent and independent variables.
 x = 9y + 4

For the equation given below; name the dependent and independent variables.
x = `(5y + 3)/(2)`

For each equation given below; name the dependent and independent variables.
y = `(1)/(7)` (6x + 5)

Find the value of:

2.65 + 1.25

Find the value of:

1. 32 - 0.91

Find the value of:

2.12 - 0.45

Find the value of:

1.35 + 1.5

On selling coffee at Rs.135 per kg a loss of 10% is incurred. Calculate the amount of coffee sold, if the total loss incurred is Rs.180.

A shopkeeper sells three mobile phones at Rs. 15000, Rs. 9945 and Rs.5392 respectively. He makes a profit of 25% on the first mobile and `10(1)/(2)`% on the second, but incurs an overall loss `8(1)/(3)`% on the 3 whole transactions. Find the cost price of the third mobile.

On selling 10 watches at Rs. 1400 there is a loss equal to the cost price of 3 watches. Find the cost price of a watch.

A briefcase was sold at a profit of 10%. If its cost price was 5% less and it was sold for Rs.120 more, the gain would have been 20%. Find the cost price of the briefcase.

A shirt was sold for Rs.1265 at a gain of 15%. Had the selling price been  Rs.55 more, the gain would have been 20%. Find the cost price of the shirt.