Daily Practice - Higher Plus

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 7 red, 6 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 5 units wide with frequency density 2, one 25 units wide with density 0.6. How many values in total?

A block has mass 570 g (to the nearest 10 g) and volume 17 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 17 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Work out the coordinates of the turning point of y = x² - 10x + 13.Work out the coordinates of the turning point of y = x^2 - 10x + 13.