Daily Practice

Higher Plus

12th April 1978

5 questions · 13 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 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/6. Work out r.
3
Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
4
Bounds3 marks
A rectangle is 23 cm by 23 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 169 and y = x + 7 simultaneously.

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