Daily Practice

Higher Plus

5th June 1962

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 a tangent meets a radius at the point of contact. 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 10 units wide with frequency density 1.2, one 5 units wide with density 3.5. How many values in total?
4
Surds3 marks
Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).
5
Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.

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