Daily Practice

Higher Plus

25th December 1969

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 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 25 units wide with density 1.4. How many values in total?
4
Surds3 marks
Simplify sqrt(50) + sqrt(2), giving your answer in the form a sqrt(b).
5
Inverse and Composite Functions3 marks
f(x) = 2x - 3 and g(x) = 6x - 4. Work out fg(-1).

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