Higher Plus

The point (9, 12) lies on the circle x² + y² = 225. Work out the gradient of the tangent to the circle at that point.The point (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.

A bag holds 5 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 3.5. How many values in total?

A block has mass 570 g (to the nearest 10 g) and volume 22 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 570 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

The point (6, 6) lies on y = f(x). Write down its image on y = f(x - 5).