Daily Practice

Higher Plus

10th April 1984

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 a triangle is drawn from the ends of a diameter to a point on the circle. 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) = 1/5. Work out r.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 20 units wide with density 0.6. How many values in total?
4
Surds3 marks
Expand and simplify (4 + sqrt(6))(4 - sqrt(6)).
5
Quadratic Inequalities3 marks
Solve x^2 + 4x - 12 > 0.

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