Daily Practice - Higher Plus

A histogram has two bars: one 20 units wide with frequency density 2, one 10 units wide with density 1.4. How many values in total?

A car covers 510 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

Use the iteration x(n+1) = cube root of (6x(n) + 8) with x(0) = 4. Work out x(1) to 3 decimal places.

y is directly proportional to x². When x = 4, y = 64. Work out the positive value of x when y = 64.y is directly proportional to x^2. When x = 4, y = 64. Work out the positive value of x when y = 64.

The point (9, 40) lies on the circle x² + y² = 1681. Work out the gradient of the tangent to the circle at that point.The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.