Daily Practice

Higher Plus

22nd September 1964

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

1
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the three angles of triangle OAB are being summed. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 25 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (2 + sqrt(2))(2 - sqrt(2)).
5
Quadratic Inequalities3 marks
Solve x^2 - 12x + 27 > 0.

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