Higher Plus

Use the iteration x(n+1) = cube root of (4x(n) + 8) with x(0) = 4. Work out x(1) to 3 decimal places.

y is directly proportional to x². When x = 3, y = 72. Work out the positive value of x when y = 128.y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 128.

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.

A bag holds 6 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 0.8. How many values in total?