Daily Practice

Higher

11th February 1955

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 2, y = 20. Work out y when x = 3.
2
Vectors3 marks
a is the column vector (-3, 0) and b is (5, 6). Work out 5a - 3b as a column vector.
3
Probability Trees3 marks
3 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.6161... as a fraction in its simplest form.

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