Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 1.5, one 25 units wide with density 0.8. How many values in total?

Rationalise the denominator of 28/√7, giving your answer in its simplest form.Rationalise the denominator of 28/sqrt(7), giving your answer in its simplest form.

Solve x² + y² = 169 and y = x - 7 simultaneously.Solve x^2 + y^2 = 169 and y = x - 7 simultaneously.

On a velocity-time graph a car speeds up in a straight line from 1 m/s to 25 m/s over 8 seconds. Work out the acceleration.

The point (3, 4) lies on the circle x² + y² = 25. Work out the gradient of the tangent to the circle at that point.The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.