Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 1.4. How many values in total?

Rationalise the denominator of 35/√5, giving your answer in its simplest form.Rationalise the denominator of 35/sqrt(5), giving your answer in its simplest form.

In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 7 in terms of an integer n?

On a velocity-time graph a car speeds up in a straight line from 7 m/s to 47 m/s over 20 seconds. Work out the acceleration.

The point (12, 16) lies on the circle x² + y² = 400. Work out the gradient of the tangent to the circle at that point.The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.