Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
4th November 2013
- 1Pythagoras2 marks
A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
- 2Venn Diagrams3 marks
In a Venn diagram, 12 are in A only, 18 in B only, 5 in both and 2 in neither. Work out the probability a random one is in both.
- 3Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 40 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4The Product Rule for Counting3 marks
A code is 3 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 - 1)(x + 1)(x + 1).
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