Higher Plus

On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

x = 198 and y = 109, each correct to the nearest whole number. Work out the upper bound of x - y.

Solve x² - 11x + 18 < 0.Solve x^2 - 11x + 18 < 0.

A tram runs at 10 m/s for 30 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.

The point (8, 15) lies on the circle x² + y² = 289. Work out the gradient of the tangent to the circle at that point.The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.