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 14/7, giving your answer in its simplest form.Rationalise the denominator of 14/sqrt(7), giving your answer in its simplest form.

Use the iteration x(n+1) = cube root of (2x(n) + 7) with x(0) = 3. Work out x(1) to 3 decimal places.

A cyclist speeds up steadily from 3 m/s to 10 m/s over 10 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.