Daily Practice - Higher Plus

On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?

Rationalise the denominator of 33/√11, giving your answer in its simplest form.Rationalise the denominator of 33/sqrt(11), giving your answer in its simplest form.

In an algebraic proof, how would you write an odd number in terms of an integer n?

A tram runs at 20 m/s for 20 s, then slows steadily to rest over 10 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.