Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
21st September 2023
- 1Histograms2 marks
A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 2The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 3Expanding and Factorising Quadratics3 marks
Factorise x^2 - 3x - 18.
- 4Repeated Percentage Change3 marks
A town's population is 7000 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
- 5The Sine Rule3 marks
In triangle ABC, angle A is 43°, angle B is 58° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
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