Daily Practice - Higher Plus

A cuboid measures 14 cm by 10 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

A bag holds 6 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

A block has mass 490 g (to the nearest 10 g) and volume 13 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 490 g (to the nearest 10 g) and volume 13 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Use the iteration x(n+1) = cube root of (3x(n) + 7) with x(0) = 5. Work out x(1) to 3 decimal places.