Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
26th April 2023
- 1Inverse and Composite Functions3 marks
f(x) = 7x + 7. Work out the inverse function f^-1(x).
- 2Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 5 m/s to 25 m/s over 10 seconds. Work out the acceleration.
- 3Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.
- 4Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
- 5Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 0.8. How many values in total?
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.
Recent Higher Plus sheets
Every sheet is deterministic: the same date always regenerates the same five questions. All of April 2023, including the monthly compilation PDF.