Higher Plus

On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

A block has mass 470 g (to the nearest 10 g) and volume 25 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 470 g (to the nearest 10 g) and volume 25 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

In an algebraic proof, how would you write a multiple of 4 in terms of an integer n?

A cyclist speeds up steadily from 6 m/s to 11 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.

The point (12, 16) lies on the circle x² + y² = 400. Work out the gradient of the tangent to the circle at that point.The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.