Daily Practice

Higher Plus

27th November 1963

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 10 counters, r of them red. Two are taken without replacement and P(both red) = 28/45. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 5 units wide with density 0.6. How many values in total?
4
Bounds3 marks
A rectangle is 21 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Completing the Square3 marks
Write x^2 - 2x - 12 in the form (x + a)^2 + b.

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