Daily Practice

Higher

15th March 1990

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

1
Repeated Percentage Change3 marks
A town's population is 10000 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
2
Vectors3 marks
a is the column vector (3, -4) and b is (-3, 4). Work out 3a - 4b as a column vector.
3
Probability Trees3 marks
7 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Histograms2 marks
A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
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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