Daily Practice · Higher

Daily Practice - Higher

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

16th September 2025

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

1
Capture Recapture3 marks
60 fish are marked and released. Later 54 are caught, of which 6 are marked. Estimate the population.
2
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
3
Parallel and Perpendicular Lines3 marks
Work out the equation of the line parallel to y = -2x - 9 that passes through (1, 5).
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 2 : 7. Write y in terms of x.
5
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.

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