Daily Practice · Higher

Daily Practice - Higher

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

6th January 2026

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

1
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
2
Probability Trees3 marks
A bag holds 6 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
50 fish are marked and released. Later 28 are caught, of which 7 are marked. Estimate the population.
4
Surds2 marks
Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
5
Parallel and Perpendicular Lines3 marks
Work out the equation of the line parallel to y = -2x + 4 that passes through (1, 8).

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