Daily Practice - Higher Plus

On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

x = 66 and y = 42, each correct to the nearest whole number. Work out the upper bound of x - y.

Solve 16x² - 40x + 25 = 0.Solve 16x^2 - 40x + 25 = 0.

A tram runs at 12 m/s for 10 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.

The point (9, 40) lies on the circle x² + y² = 1681. Work out the gradient of the tangent to the circle at that point.The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.