Higher Plus

On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?

Rationalise the denominator of 6/3, giving your answer in its simplest form.Rationalise the denominator of 6/sqrt(3), giving your answer in its simplest form.

Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.

A cyclist speeds up steadily from 9 m/s to 21 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.

The point (5, 12) lies on the circle x² + y² = 169. Work out the gradient of the tangent to the circle at that point.The point (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.