Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
23rd January 2017
- 1The Sine Rule3 marks
In triangle ABC, angle A is 39°, angle B is 83° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2Venn Diagrams3 marks
In a Venn diagram, 12 are in A only, 10 in B only, 3 in both and 7 in neither. Work out the probability a random one is in both.
- 3Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 136 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.8686... as a fraction in its simplest form.
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 - 9.
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