Higher Plus

On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?

A block has mass 590 g (to the nearest 10 g) and volume 4 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 590 g (to the nearest 10 g) and volume 4 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Solve x² + y² = 100 and y = x + 2 simultaneously.Solve x^2 + y^2 = 100 and y = x + 2 simultaneously.

A cyclist speeds up steadily from 9 m/s to 14 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.

A cuboid measures 15 cm by 14 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.