Daily Practice

Higher

14th December 1956

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 = 8, y = 48. Work out y when x = 11.
2
Vectors3 marks
a is the column vector (-3, 4) and b is (6, -3). Work out 4a - 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 fish population of a pond. State one assumption the method relies on.
5
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?

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