Daily Practice - Higher Plus

A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 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.

Use the iteration x(n+1) = cube root of (4x(n) + 6) with x(0) = 3. Work out x(1) to 3 decimal places.

y is directly proportional to x². When x = 3, y = 54. Work out the positive value of x when y = 294.y is directly proportional to x^2. When x = 3, y = 54. Work out the positive value of x when y = 294.

The point (8, 15) lies on the circle x² + y² = 289. Work out the gradient of the tangent to the circle at that point.The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.