Higher Plus

A histogram has two bars: one 10 units wide with frequency density 1.2, one 25 units wide with density 1.4. How many values in total?

A block has mass 790 g (to the nearest 10 g) and volume 16 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 790 g (to the nearest 10 g) and volume 16 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Use the iteration x(n+1) = cube root of (6x(n) + 1) with x(0) = 5. Work out x(1) to 3 decimal places.

On a velocity-time graph a car speeds up in a straight line from 1 m/s to 9 m/s over 4 seconds. Work out the acceleration.

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.