Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

27th November 2025

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

1
Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(27) + sqrt(147), giving your answer in the form a sqrt(b).
3
Factorising Harder Quadratics3 marks
Solve 6x^2 + 19x + 10 = 0.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 11 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a - 6b and vector RS = 20a - 24b. What does this show about PQ and RS?

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