Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 3.5. How many values in total?

x = 177 and y = 131, each correct to the nearest whole number. Work out the upper bound of x - y.

Make x the subject of 6x + 6 = y(x + 6).

On a velocity-time graph a car speeds up in a straight line from 8 m/s to 38 m/s over 10 seconds. Work out the acceleration.

The point (6, 8) lies on the circle x² + y² = 100. Work out the gradient of the tangent to the circle at that point.The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.