Daily Practice · Higher

Daily Practice - Higher

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

14th September 2010

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 = 2 : 9. Write y in terms of x.
2
Vectors3 marks
a is the column vector (5, 6) and b is (-1, 0). Work out 3a - 2b as a column vector.
3
Probability Trees3 marks
1 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
45 voles are marked and released. Later 30 are caught, of which 5 are marked. Estimate the population.
5
The Product Rule for Counting2 marks
A meal deal has 7 mains, 9 sides and 6 drinks. How many different meals are possible?

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