Daily Practice · Higher

Daily Practice - Higher

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

30th August 2022

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 = 4 : 9. Write y in terms of x.
2
Vectors3 marks
a is the column vector (0, 4) and b is (1, 3). Work out 3a - 3b as a column vector.
3
Probability Trees3 marks
4 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
30 beetles are marked and released. Later 6 are caught, of which 2 are marked. Estimate the population.
5
Fractional and Negative Indices2 marks
Write 5^-3 as a fraction.

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