Daily Practice

Higher Plus

26th April 1981

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 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 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 5 units wide with density 3.5. How many values in total?
4
Bounds3 marks
x = 137 and y = 126, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Factorising Harder Quadratics3 marks
Solve 9x^2 + 9x - 4 = 0.

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