Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

8th October 2025

5 questions · 15 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 + 2b and vector RS = 12a + 8b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 9 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 20 units wide with density 0.8. How many values in total?
4
Bounds3 marks
A rectangle is 25 cm by 11 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 2) with x(0) = 5. Work out x(1) to 3 decimal places.

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