Daily Practice · Higher

Daily Practice - Higher

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

1st August 2023

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 : 8. Write y in terms of x.
2
Vectors3 marks
a is the column vector (-1, -5) and b is (2, -3). Work out 3a - 3b as a column vector.
3
Probability Trees3 marks
2 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
25 fish are marked and released. Later 99 are caught, of which 9 are marked. Estimate the population.
5
Standard Form2 marks
Work out (2 x 10^8) x (6 x 10^6). Give your answer in standard form.

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