Daily Practice - Higher Plus

On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

Simplify 48 + 12, giving your answer in the form a b.Simplify sqrt(48) + sqrt(12), giving your answer in the form a sqrt(b).

Solve x² + y² = 169 and y = x + 7 simultaneously.Solve x^2 + y^2 = 169 and y = x + 7 simultaneously.

A cyclist speeds up steadily from 3 m/s to 22 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.

The point (7, 24) lies on the circle x² + y² = 625. Work out the gradient of the tangent to the circle at that point.The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.