Daily Practice

Higher

12th January 1979

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 = 4, y = 8. Work out y when x = 10.
2
Vectors3 marks
a is the column vector (4, 0) and b is (0, -5). Work out 3a - 5b as a column vector.
3
Probability Trees3 marks
8 of 10 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 newt population of a stream. State one assumption the method relies on.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.777... as a fraction in its simplest form.

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