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?

Expand and simplify (4 + 10)(4 - 10).Expand and simplify (4 + sqrt(10))(4 - sqrt(10)).

The curve y = cos x° is drawn for 0 ≤ x ≤ 360. Write down the value of y when x = 90.The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.

A cyclist speeds up steadily from 10 m/s to 25 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.

The point (5, 12) lies on the circle x² + y² = 169. Work out the gradient of the tangent to the circle at that point.The point (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.