Daily Practice · Higher

Daily Practice - Higher

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

24th September 2024

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

1
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 2 : 5. Write y in terms of x.
2
Spheres and Cones3 marks
A sphere has radius 18 cm. Work out its volume, leaving your answer in terms of pi.
3
Probability Trees3 marks
3 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Capture Recapture3 marks
60 voles are marked and released. Later 42 are caught, of which 6 are marked. Estimate the population.
5
Standard Form3 marks
Work out (14 x 10^8) / (2 x 10^3). Give your answer in standard form.

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