Daily Practice

Higher Plus

28th May 1975

5 questions · 13 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 12 counters, r of them red. Two are taken without replacement and P(both red) = 5/22. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 25 units wide with density 1.4. How many values in total?
4
Bounds3 marks
A rectangle is 19 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Proof2 marks
In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?

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