Daily Practice

Higher Plus

20th January 1965

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 the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 28/45. 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 3.5. How many values in total?
4
Bounds3 marks
A rectangle is 13 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Algebraic Fractions3 marks
Simplify (x^2 + 13x + 42)/(x + 6).

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