Daily Practice - Higher Plus

On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 3. How many more values are in the wider class?

A rectangle is 27 cm by 25 cm, each correct to the nearest cm. Work out the upper bound of its area.

Solve x² + y² = 841 and y = x - 1 simultaneously.Solve x^2 + y^2 = 841 and y = x - 1 simultaneously.

A tram runs at 14 m/s for 20 s, then slows steadily to rest over 4 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.