Daily Practice · Higher

Daily Practice - Higher

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

5th December 2025

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

1
Parallel and Perpendicular Lines3 marks
Work out the equation of the line parallel to y = -x - 6 that passes through (2, 3).
2
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 9, y = 36. Work out y when x = 2.
3
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
4
Probability Trees3 marks
A bag holds 5 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Capture Recapture2 marks
A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.

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