Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

25th July 2025

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

1
Surds3 marks
Rationalise the denominator of 33/sqrt(3), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Write 4/(x - 6) + 7/(x + 5) as a single fraction.
3
Velocity Time Graphs2 marks
A train slows steadily from 33 m/s to rest in 4 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = b. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of a and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 40 wins. How many games did they play?

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 July 2025, including the monthly compilation PDF.