Daily Practice - Higher Plus

On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2. How many more values are in the wider class?

Simplify √45 + √80, giving your answer in the form a √b.Simplify sqrt(45) + sqrt(80), giving your answer in the form a sqrt(b).

The point (-3, -2) lies on y = f(x). Write down its image on y = -f(x).

A tram runs at 17 m/s for 30 s, then slows steadily to rest over 6 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.