Daily Practice

Higher Plus

26th March 1964

5 questions · 13 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 two tangents are drawn to a circle from the same external point. 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) = 1/7. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 10 units wide with density 3. How many values in total?
4
Surds3 marks
Simplify sqrt(8) + sqrt(98), giving your answer in the form a sqrt(b).
5
Proof2 marks
In an algebraic proof, how would you write three consecutive even numbers in terms of an integer n?

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