Higher Plus

On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

Rationalise the denominator of 50/5, giving your answer in its simplest form.Rationalise the denominator of 50/sqrt(5), giving your answer in its simplest form.

Work out the coordinates of the turning point of y = x² - 10x + 13.Work out the coordinates of the turning point of y = x^2 - 10x + 13.

A tram runs at 11 m/s for 30 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.

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.