Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd September 2025
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.
- 2Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/18. Work out r.
- 3Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 10 units wide with density 3.5. How many values in total?
- 4Surds3 marks
Expand and simplify (9 + sqrt(6))(9 - sqrt(6)).
- 5Proof2 marks
In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
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