Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

23rd July 2020

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 3% each year. Work out the population after 5 years, to the nearest whole number.
2
Vectors3 marks
a is the column vector (-5, 0) and b is (6, 3). Work out 2a - 5b as a column vector.
3
Probability Trees3 marks
4 of 9 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 20 units wide and contains 80 values. Work out the frequency density.
5
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?

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