Daily Practice · Higher

Daily Practice - Higher

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

16th August 2011

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 : 3. Write y in terms of x.
2
Vectors3 marks
a is the column vector (-1, 1) and b is (-5, -2). Work out 4a - 5b as a column vector.
3
Probability Trees3 marks
2 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Capture Recapture3 marks
40 beetles are marked and released. Later 30 are caught, of which 6 are marked. Estimate the population.
5
Bounds2 marks
A mass is 350 kg, correct to the nearest 10. Write down the upper bound.

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