Daily Practice

Higher Plus

22nd September 1987

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 opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 10/21. Work out r.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 10 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (6 + sqrt(11))(6 - sqrt(11)).
5
Algebraic Fractions3 marks
Write 5/(x + 5) + 3/(x + 1) as a single fraction.

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