Daily Practice

Higher Plus

26th November 1986

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 OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 10 units wide with density 0.6. How many values in total?
4
Bounds3 marks
A rectangle is 24 cm by 11 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Factorising Harder Quadratics3 marks
Solve 16x^2 - 8x - 3 = 0.

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