Daily Practice · Higher Plus

Daily Practice - Higher Plus

18th May 1994

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 opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.
3
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Bounds3 marks
A rectangle is 9 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Algebraic Fractions3 marks
Simplify (x^2 + 6x + 8)/(x + 2).

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