Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
15th March 2021
- 1Pythagoras2 marks
A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
- 2Venn Diagrams3 marks
In a Venn diagram, 12 are in A only, 17 in B only, 12 in both and 9 in neither. Work out the probability a random one is in both.
- 3Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 100 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4Standard Form2 marks
Work out (9 x 10^4) x (2 x 10^-6). Give your answer in standard form.
- 5Expanding Triple Brackets3 marks
Expand and simplify (x + 5)(x - 4)(x + 2).
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