Daily Practice · Higher

Daily Practice - Higher

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

24th October 2023

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 = 5 : 9. Write y in terms of x.
2
Spheres and Cones3 marks
A sphere has radius 12 cm. Work out its volume, leaving your answer in terms of pi.
3
Probability Trees3 marks
7 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Capture Recapture3 marks
20 beetles are marked and released. Later 20 are caught, of which 2 are marked. Estimate the population.
5
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?

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