Daily Practice - Higher Plus

A histogram has two bars: one 20 units wide with frequency density 2, one 5 units wide with density 0.8. How many values in total?

Rationalise the denominator of 20/2, giving your answer in its simplest form.Rationalise the denominator of 20/sqrt(2), giving your answer in its simplest form.

The curve y = cos x° is drawn for 0 ≤ x ≤ 360. Write down the value of y when x = 90.The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.

On a velocity-time graph a car speeds up in a straight line from 8 m/s to 18 m/s over 20 seconds. Work out the acceleration.

The point (7, 24) lies on the circle x² + y² = 625. Work out the gradient of the tangent to the circle at that point.The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.