Daily Practice

Higher Plus

8th October 1961

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) = 3/10. Work out r.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 25 units wide with density 0.8. How many values in total?
4
Bounds3 marks
x = 190 and y = 25, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Factorising Harder Quadratics3 marks
Solve 4x^2 + 9x + 2 = 0.

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