Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 0.6. How many values in total?

Rationalise the denominator of 66/6, giving your answer in its simplest form.Rationalise the denominator of 66/sqrt(6), giving your answer in its simplest form.

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

y is directly proportional to x². When x = 6, y = 324. Work out the positive value of x when y = 225.y is directly proportional to x^2. When x = 6, y = 324. Work out the positive value of x when y = 225.

The point (20, 21) lies on the circle x² + y² = 841. Work out the gradient of the tangent to the circle at that point.The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.