Daily Practice · Higher

Daily Practice - Higher

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

22nd January 2026

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 = 2x + 1 that passes through (5, 14).
2
Repeated Percentage Change3 marks
A town's population is 17000 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
3
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
4
Probability Trees3 marks
A bag holds 3 red and 7 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Histograms2 marks
A histogram class is 20 units wide and contains 40 values. Work out the frequency density.

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