Daily Practice

Higher Plus

13th April 1955

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 a tangent meets a radius at the point of contact. 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
Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
4
Bounds3 marks
A rectangle is 30 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Algebraic Fractions3 marks
Simplify (x^2 - x - 2)/(x + 1).

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