Daily Practice · Higher

Daily Practice - Higher

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

31st August 1999

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 = 7 : 9. Write y in terms of x.
2
Vectors3 marks
a is the column vector (2, 1) and b is (-6, 6). Work out 2a - 5b as a column vector.
3
Probability Trees3 marks
3 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
20 voles are marked and released. Later 64 are caught, of which 8 are marked. Estimate the population.
5
Surds2 marks
Write sqrt(45) in the form a sqrt(b), where b is as small as possible.

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