Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 1.2, one 25 units wide with density 0.6. How many values in total?

Rationalise the denominator of 121/√11, giving your answer in its simplest form.Rationalise the denominator of 121/sqrt(11), giving your answer in its simplest form.

A quadratic sequence starts 15, 33, 61, 99. Work out the second difference, and the coefficient of n².A quadratic sequence starts 15, 33, 61, 99. Work out the second difference, and the coefficient of n^2.

On a velocity-time graph a car speeds up in a straight line from 8 m/s to 10.5 m/s over 5 seconds. Work out the acceleration.

The point (6, 8) lies on the circle x² + y² = 100. Work out the gradient of the tangent to the circle at that point.The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.