Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

10th June 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 = 2a + 5b and vector RS = 6a + 15b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 15 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 20 units wide with density 0.6. How many values in total?
4
Surds3 marks
Expand and simplify (5 + sqrt(5))(5 - sqrt(5)).
5
Factorising Harder Quadratics3 marks
Solve 10x^2 + 27x + 5 = 0.

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