Higher Plus

On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?

Rationalise the denominator of 36/3, giving your answer in its simplest form.Rationalise the denominator of 36/sqrt(3), giving your answer in its simplest form.

Make x the subject of 8x + 6 = y(x + 6).

A cyclist speeds up steadily from 6 m/s to 14 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.

The point (6, 8) lies on the circle x² + y² = 100. Work out the gradient of the tangent to the circle at that point.The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.