Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

7th March 2026

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

1
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - b and vector RS = 6a - 2b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 72 wins. How many games did they play?
3
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
4
Bounds3 marks
A car covers 240 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
5
Completing the Square3 marks
Write x^2 - 4x - 14 in the form (x + a)^2 + b.

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