Higher Plus

On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

Rationalise the denominator of 14/2, giving your answer in its simplest form.Rationalise the denominator of 14/sqrt(2), giving your answer in its simplest form.

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 5 m/s to 10 m/s over 10 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 triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.