Daily Practice · Higher

Daily Practice - Higher

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

29th July 2025

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

1
Probability Trees3 marks
5 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
50 newts are marked and released. Later 16 are caught, of which 2 are marked. Estimate the population.
3
Standard Form3 marks
Work out (6 x 10^6) / (3 x 10^2). Give your answer in standard form.
4
Simultaneous Equations3 marks
3 teas and 4 cakes cost £14.35. 1 tea and 3 cakes cost £8.20. Find the price of a tea.
5
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 2 : 9. Write y in terms of x.

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