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?

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

The curve y = cos x° is drawn for 0 ≤ x ≤ 360. Write down the value of y when x = 0.The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.

A tram runs at 5 m/s for 10 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.

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.