Daily Practice

Higher

9th October 1989

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 - x - 72.
2
Repeated Percentage Change3 marks
A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
3
The Sine Rule3 marks
In triangle ABC, angle A is 71°, angle B is 31° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 5 are in A only, 17 in B only, 8 in both and 10 in neither. Work out the probability a random one is in both.
5
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 92 values. What cumulative frequency do you read across from to estimate the lower quartile?

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