Daily Practice - Higher Plus

On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?

x = 127 and y = 35, each correct to the nearest whole number. Work out the upper bound of x - y.

A quadratic sequence starts -2, 9, 30, 61. Work out the second difference, and the coefficient of n².A quadratic sequence starts -2, 9, 30, 61. Work out the second difference, and the coefficient of n^2.

A tram runs at 7 m/s for 20 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.

The point (12, 16) lies on the circle x² + y² = 400. Work out the gradient of the tangent to the circle at that point.The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.