Daily Practice

Higher

12th November 1985

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 = 2 : 7. Write y in terms of x.
2
Vectors3 marks
a is the column vector (3, 1) and b is (1, 2). Work out 3a - 3b as a column vector.
3
Probability Trees3 marks
4 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
35 fish are marked and released. Later 18 are caught, of which 6 are marked. Estimate the population.
5
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?

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