Daily Practice - Higher Plus

A histogram has two bars: one 20 units wide with frequency density 2.5, one 20 units wide with density 3. How many values in total?

A block has mass 320 g (to the nearest 10 g) and volume 5 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 320 g (to the nearest 10 g) and volume 5 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

f(x) = 5x - 3 and g(x) = 5x - 3. Work out fg(3).

On a velocity-time graph a car speeds up in a straight line from 7 m/s to 47 m/s over 20 seconds. Work out the acceleration.

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.