Daily Practice · Higher

Daily Practice - Higher

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

18th November 2025

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

1
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 5 : 6. Write y in terms of x.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 25 cm and an angle of 59°. Work out the side adjacent to that angle, to 1 decimal place.
3
Probability Trees3 marks
1 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Capture Recapture3 marks
30 fish are marked and released. Later 18 are caught, of which 6 are marked. Estimate the population.
5
The Product Rule for Counting2 marks
A meal deal has 8 mains, 7 sides and 3 drinks. How many different meals are possible?

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