Higher Plus

A histogram has two bars: one 20 units wide with frequency density 2, one 25 units wide with density 3. How many values in total?

A block has mass 460 g (to the nearest 10 g) and volume 23 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 460 g (to the nearest 10 g) and volume 23 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

A quadratic sequence starts 1, 0, 1, 4. Work out the second difference, and the coefficient of n².A quadratic sequence starts 1, 0, 1, 4. Work out the second difference, and the coefficient of n^2.

On a velocity-time graph a car speeds up in a straight line from 0 m/s to 15 m/s over 5 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.