Higher Plus

A cuboid measures 7 cm by 6 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

A bag holds 10 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?

A block has mass 510 g (to the nearest 10 g) and volume 3 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 510 g (to the nearest 10 g) and volume 3 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

The curve y = cos x° is drawn for 0 ≤ x ≤ 360. Write down the value of y when x = 270.The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.