Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 0.6. How many values in total?

A block has mass 210 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 210 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.

Write x² - 8x - 12 in the form (x + a)² + b.Write x^2 - 8x - 12 in the form (x + a)^2 + b.

On a velocity-time graph a car speeds up in a straight line from 3 m/s to 28 m/s over 10 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.