Daily Practice - Higher Plus

On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 3. How many more values are in the wider class?

Expand and simplify (3 + √7)(3 - √7).Expand and simplify (3 + sqrt(7))(3 - sqrt(7)).

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

A cyclist speeds up steadily from 3 m/s to 23 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.

The point (10, 24) lies on the circle x² + y² = 676. Work out the gradient of the tangent to the circle at that point.The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.