Daily Practice - Higher Plus

On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2. How many more values are in the wider class?

x = 44 and y = 14, each correct to the nearest whole number. Work out the upper bound of x - y.

Solve x² + y² = 625 and y = x - 17 simultaneously.Solve x^2 + y^2 = 625 and y = x - 17 simultaneously.

A cyclist speeds up steadily from 4 m/s to 14 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.

The point (3, 4) lies on the circle x² + y² = 25. Work out the gradient of the tangent to the circle at that point.The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.