Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 1.2, one 25 units wide with density 0.6. How many values in total?

A block has mass 510 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 510 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.

Simplify (x² - 2x - 3)/(x + 1).Simplify (x^2 - 2x - 3)/(x + 1).

On a velocity-time graph a car speeds up in a straight line from 6 m/s to 11 m/s over 10 seconds. Work out the acceleration.

The point (10, 24) lies on the circle x² + y² = 676. Work out the gradient of the tangent to the circle at that point.The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.