Daily Practice - Higher Plus

On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 3. How many more values are in the wider class?

A block has mass 850 g (to the nearest 10 g) and volume 4 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 850 g (to the nearest 10 g) and volume 4 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

The point (1, 0) lies on y = f(x). Write down its image on y = f(-x).

A tram runs at 19 m/s for 20 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.

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.