Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st January 2023
- 1Bounds3 marks
x = 79 and y = 67, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Algebraic Fractions3 marks
Simplify (x^2 + x - 2)/(x + 2).
- 3Velocity Time Graphs2 marks
A train slows steadily from 37 m/s to rest in 4 seconds. Work out its deceleration.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 6 cm and an area of 12.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 7/12. Work out r.
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 January 2023, including the monthly compilation PDF.