Daily Practice - Higher Plus

On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

Simplify √8 + √2, giving your answer in the form a √b.Simplify sqrt(8) + sqrt(2), giving your answer in the form a sqrt(b).

A quadratic sequence starts 7, 14, 23, 34. Work out the second difference, and the coefficient of n².A quadratic sequence starts 7, 14, 23, 34. Work out the second difference, and the coefficient of n^2.

A tram runs at 18 m/s for 30 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.

The point (6, 8) lies on the circle x² + y² = 100. Work out the gradient of the tangent to the circle at that point.The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.