Daily Practice · Higher

Daily Practice - Higher

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

23rd June 2026

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

1
Circle Theorems2 marks
ABCD is a cyclic quadrilateral. Angle ABC is 93°. Work out angle ADC.
2
Probability Trees3 marks
A bag holds 7 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
55 beetles are marked and released. Later 96 are caught, of which 8 are marked. Estimate the population.
4
Reverse Percentages3 marks
A bill is £672 including VAT at 20%. Work out the amount before VAT.
5
Changing the Subject of a Formula3 marks
Make x the subject of y = 8x^2 - 12.

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