Daily Practice - Higher Plus

A histogram has two bars: one 20 units wide with frequency density 2.5, one 25 units wide with density 3.5. How many values in total?

Rationalise the denominator of 42/√7, giving your answer in its simplest form.Rationalise the denominator of 42/sqrt(7), giving your answer in its simplest form.

Write x² - 6x + 13 in the form (x + a)² + b.Write x^2 - 6x + 13 in the form (x + a)^2 + b.

y is directly proportional to x². When x = 2, y = 8. Work out the positive value of x when y = 18.y is directly proportional to x^2. When x = 2, y = 8. Work out the positive value of x when y = 18.

The point (10, 24) lies on the circle x² + y² = 676. Work out the gradient of the tangent to the circle at that point.The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.