Daily Practice

Higher Plus

28th January 1975

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 alternate segment theorem is being proved. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 10 units wide with density 1.4. How many values in total?
4
Surds3 marks
Expand and simplify (9 + sqrt(2))(9 - sqrt(2)).
5
Completing the Square3 marks
Write x^2 - 6x - 9 in the form (x + a)^2 + b.

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