Daily Practice - Higher Plus

On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

x = 70 and y = 18, each correct to the nearest whole number. Work out the upper bound of x - y.

Solve 2x² + x - 3 = 0.Solve 2x^2 + x - 3 = 0.

A cyclist speeds up steadily from 4 m/s to 21 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.

The point (7, 24) lies on the circle x² + y² = 625. Work out the gradient of the tangent to the circle at that point.The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.