Higher Plus

A histogram has two bars: one 20 units wide with frequency density 2, one 5 units wide with density 3. How many values in total?

A block has mass 540 g (to the nearest 10 g) and volume 9 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 540 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

The point (-2, -4) lies on y = f(x). Write down its image on y = f(x - 1).

On a velocity-time graph a car speeds up in a straight line from 6 m/s to 10 m/s over 8 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.