Higher Plus

y is directly proportional to x³. When x = 3, y = 54. Work out y when x = 2.y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 2.

In triangle ABC, angle A is 45°, side a is 10 cm and side b is 5 cm. Work out the acute angle B, to 1 decimal place.

A bag holds 4 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

On a histogram the bar for 10 < x ≤ 30 has a frequency density of 1.2. How many values are in that class?On a histogram the bar for 10 < x <= 30 has a frequency density of 1.2. How many values are in that class?

A block has mass 840 g (to the nearest 10 g) and volume 8 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 840 g (to the nearest 10 g) and volume 8 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.