Daily Practice - Higher Plus

The point (6, 8) lies on the circle x² + y² = 100. Work out the gradient of the tangent to the circle at that point.The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.

A bag holds 3 red, 5 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 1.4. How many values in total?

A block has mass 300 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 300 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.

Write x² - 6x - 9 in the form (x + a)² + b.Write x^2 - 6x - 9 in the form (x + a)^2 + b.