Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 1.5, one 10 units wide with density 1.4. How many values in total?

A car covers 770 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

The curve y = sin x° is drawn for 0 ≤ x ≤ 360. Write down the value of y when x = 180.The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.

On a velocity-time graph a car speeds up in a straight line from 5 m/s to 35 m/s over 20 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.