Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th August 2025
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - 4b and vector RS = 6a - 12b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 20 wins. How many games did they play?
- 3Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 25 units wide with density 1.4. How many values in total?
- 4Bounds3 marks
A car covers 550 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 5Quadratic Inequalities3 marks
Solve x^2 - 9 < 0.
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