Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

29th June 2023

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 20 units wide with density 0.8. How many values in total?
2
Surds3 marks
Simplify sqrt(32) + sqrt(8), giving your answer in the form a sqrt(b).
3
Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 5 m/s to 12.5 m/s over 5 seconds. Work out the acceleration.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Every sheet is deterministic: the same date always regenerates the same five questions. All of June 2023, including the monthly compilation PDF.