Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th August 2026

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

1
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 5 = y(x + 5).
2
Velocity Time Graphs3 marks
A tram runs at 6 m/s for 20 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + 6b and vector RS = 4a + 24b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 20 wins. How many games did they play?
5
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

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