Daily Practice

Higher Plus

21st October 1970

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 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/12. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 3. How many values in total?
4
Bounds3 marks
A rectangle is 12 cm by 6 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Proof3 marks
Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.

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