Daily Practice - Higher Plus

On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

Rationalise the denominator of 16/√2, giving your answer in its simplest form.Rationalise the denominator of 16/sqrt(2), giving your answer in its simplest form.

Solve x² - 8x + 12 < 0.Solve x^2 - 8x + 12 < 0.

A tram runs at 8 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 (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.