Daily Practice · Higher

Daily Practice - Higher

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

3rd June 2025

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

1
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 9. Write y in terms of x.
2
Vectors3 marks
a is the column vector (3, -1) and b is (6, 3). Work out 5a - 4b as a column vector.
3
Probability Trees3 marks
6 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Capture Recapture3 marks
30 beetles are marked and released. Later 15 are caught, of which 5 are marked. Estimate the population.
5
Reverse Percentages3 marks
A bill is £792 including VAT at 20%. Work out the amount before VAT.

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