Daily Practice - Higher Plus

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 7 red, 5 blue and 3 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 1.5, one 20 units wide with density 3.5. How many values in total?

x = 132 and y = 76, each correct to the nearest whole number. Work out the upper bound of x - y.

Use the iteration x(n+1) = cube root of (3x(n) + 2) with x(0) = 4. Work out x(1) to 3 decimal places.