Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 1.5, one 20 units wide with density 3.5. How many values in total?

Simplify √75 + √75, giving your answer in the form a √b.Simplify sqrt(75) + sqrt(75), giving your answer in the form a sqrt(b).

Solve x² + y² = 25 and y = x - 1 simultaneously.Solve x^2 + y^2 = 25 and y = x - 1 simultaneously.

On a velocity-time graph a car speeds up in a straight line from 0 m/s to 2.5 m/s over 5 seconds. Work out the acceleration.

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.