Daily Practice · Higher

Daily Practice - Higher

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

7th April 2026

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
15 voles are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
3
Reverse Percentages3 marks
A bill is £888 including VAT at 20%. Work out the amount before VAT.
4
Factorising Harder Quadratics3 marks
Factorise 12x^2 - 11x - 15.
5
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 2 : 3. Write y in terms of x.

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