Daily Practice

Higher Plus

2nd October 1985

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 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 5 units wide with density 3.5. How many values in total?
4
Bounds3 marks
A rectangle is 5 cm by 28 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Rearranging Harder Formulae3 marks
Make x the subject of 8x + 8 = y(x + 8).

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