Daily Practice

Higher Plus

11th July 1978

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 5 units wide with frequency density 2.5, one 5 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (4 + sqrt(11))(4 - sqrt(11)).
5
Factorising Harder Quadratics3 marks
Solve 3x^2 - 4x - 15 = 0.

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