Higher Plus

On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2. How many more values are in the wider class?

A block has mass 560 g (to the nearest 10 g) and volume 9 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 560 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Write x² - 16x - 3 in the form (x + a)² + b.Write x^2 - 16x - 3 in the form (x + a)^2 + b.

A cyclist speeds up steadily from 2 m/s to 11 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.

In a circle theorem proof, a step uses the fact that a tangent meets a radius at the point of contact. State the reason being quoted.