Higher Plus

A cuboid measures 10 cm by 14 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

A bag holds 5 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

A histogram has two bars: one 10 units wide with frequency density 2.5, one 20 units wide with density 3. How many values in total?

A block has mass 670 g (to the nearest 10 g) and volume 5 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 670 g (to the nearest 10 g) and volume 5 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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