Daily Practice

Higher

10th January 1961

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 (3, 4) and b is (3, -2). Work out 5a - 3b as a column vector.
3
Probability Trees3 marks
3 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
20 voles are marked and released. Later 44 are caught, of which 4 are marked. Estimate the population.
5
Bounds2 marks
A mass is 470 kg, correct to the nearest 10. Write down the upper bound.

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