Daily Practice - Higher Plus

Use the iteration x(n+1) = cube root of (10x(n) + 1) with x(0) = 2. Work out x(1) to 3 decimal places.

y is directly proportional to x². When x = 2, y = 32. Work out the positive value of x when y = 288.y is directly proportional to x^2. When x = 2, y = 32. Work out the positive value of x when y = 288.

The point (12, 16) lies on the circle x² + y² = 400. Work out the gradient of the tangent to the circle at that point.The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.

A bag holds 5 red, 7 blue and 6 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 0.4, one 5 units wide with density 3.5. How many values in total?