Daily Practice

Higher Plus

8th August 1967

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) = 10/21. Work out r.
3
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
4
Surds3 marks
Expand and simplify (4 + sqrt(10))(4 - sqrt(10)).
5
Rearranging Harder Formulae3 marks
Make x the subject of 5x + 5 = y(x + 5).

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