Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

27th December 2025

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 10 units wide with density 0.8. How many values in total?
2
Bounds3 marks
A car covers 320 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Transforming Graphs y=f(x)3 marks
The point (2, -4) lies on y = f(x). Write down its image on y = -f(x).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 3 m/s to 15 m/s over 4 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - 2b and vector RS = 10a - 10b. What does this show about PQ and RS?

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