Daily Practice

Higher

19th June 1987

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

1
Probability Trees3 marks
1 of 5 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 fish population of a pond. State one assumption the method relies on.
3
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.777... as a fraction in its simplest form.
4
Simultaneous Equations3 marks
5 teas and 4 cakes cost £14.25. 3 teas and 2 cakes cost £7.75. Find the price of a tea.
5
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 7, y = 14. Work out y when x = 6.

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