Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 3.5. How many values in total?

Rationalise the denominator of 30/√3, giving your answer in its simplest form.Rationalise the denominator of 30/sqrt(3), giving your answer in its simplest form.

f(x) = 2x - 8 and g(x) = 6x + 3. Work out fg(2).

y is directly proportional to x². When x = 2, y = 16. Work out the positive value of x when y = 144.y is directly proportional to x^2. When x = 2, y = 16. Work out the positive value of x when y = 144.

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.