Daily Practice

Higher Plus

2nd March 1980

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 two angles at the circumference stand on the same arc. 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) = 7/12. Work out r.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 3. How many values in total?
4
Bounds3 marks
x = 71 and y = 55, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 5 = y(x + 5).

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