Daily Practice

Higher

22nd January 1974

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 Recapture3 marks
40 newts are marked and released. Later 20 are caught, of which 2 are marked. Estimate the population.
3
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
4
Simultaneous Equations3 marks
4 teas and 1 cake cost £8.65. 1 tea and 3 cakes cost £6.15. Find the price of a tea.
5
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 5 : 8. Write y in terms of x.

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