Daily Practice

Higher

27th January 1967

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 = 9, y = 18. Work out y when x = 11.
2
Vectors3 marks
a is the column vector (-3, 6) and b is (0, 3). Work out 3a - 5b as a column vector.
3
Probability Trees3 marks
1 of 5 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
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?

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