Higher Plus

On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?

x = 186 and y = 62, each correct to the nearest whole number. Work out the upper bound of x - y.

Solve x² + y² = 289 and y = x + 7 simultaneously.Solve x^2 + y^2 = 289 and y = x + 7 simultaneously.

A cyclist speeds up steadily from 8 m/s to 16 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.