Daily Practice - Higher Plus

On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 3. How many more values are in the wider class?

x = 172 and y = 123, each correct to the nearest whole number. Work out the upper bound of x - y.

A quadratic sequence starts -5, -3, 1, 7. Work out the second difference, and the coefficient of n².A quadratic sequence starts -5, -3, 1, 7. Work out the second difference, and the coefficient of n^2.

A cyclist speeds up steadily from 3 m/s to 12 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.

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.