Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
17th August 2019
- 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, 14 are in A only, 3 in B only, 6 in both and 9 in neither. Work out the probability a random one is in both.
- 3Box Plots2 marks
A box plot has minimum 3, lower quartile 9, median 16, upper quartile 18 and maximum 21. Work out the interquartile range.
- 4The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 5Expanding Triple Brackets3 marks
Expand and simplify (x + 5)(x + 1)(x - 2).
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