Higher Plus

On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?

x = 192 and y = 122, each correct to the nearest whole number. Work out the upper bound of x - y.

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.

A cyclist speeds up steadily from 3 m/s to 15 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.

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.