Daily Practice

Higher

14th October 1983

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

1
Probability Trees3 marks
3 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 newt population of a stream. State one assumption the method relies on.
3
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.7979... as a fraction in its simplest form.
4
Simultaneous Equations3 marks
2 teas and 1 cake cost £4.90. 4 teas and 5 cakes cost £14.90. Find the price of a tea.
5
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 4, y = 32. Work out y when x = 13.

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