Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

27th August 2024

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

1
Probability Trees3 marks
2 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
2
Capture Recapture3 marks
10 fish are marked and released. Later 33 are caught, of which 3 are marked. Estimate the population.
3
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
4
Simultaneous Equations3 marks
2 teas and 1 cake cost £6.10. 1 tea and 2 cakes cost £5.30. Find the price of a tea.
5
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 9. Write y in terms of x.

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