Daily Practice

Higher

10th January 1958

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Probability Trees3 marks
2 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
2
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
3
Fractional and Negative Indices3 marks
Work out 125^(2/3).
4
Simultaneous Equations3 marks
2 teas and 3 cakes cost £9.60. 2 teas and 2 cakes cost £7.50. Find the price of a tea.
5
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 7, y = 63. Work out y when x = 3.

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