Daily Practice · Higher

Daily Practice - Higher

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

11th November 2025

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Changing the Subject of a Formula3 marks
Make x the subject of y = 9x^2 - 11.
2
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 7 : 9. Write y in terms of x.
3
Circle Theorems2 marks
ABCD is a cyclic quadrilateral. Angle ABC is 81°. Work out angle ADC.
4
Probability Trees3 marks
A bag holds 5 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Capture Recapture3 marks
10 voles are marked and released. Later 30 are caught, of which 5 are marked. Estimate the population.

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