Daily Practice - Higher Plus

On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

x = 64 and y = 46, each correct to the nearest whole number. Work out the upper bound of x - y.

Simplify (x² - 49)/(x + 7).Simplify (x^2 - 49)/(x + 7).

A cyclist speeds up steadily from 6 m/s to 19 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.

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.