Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
16th April 2015
- 1Pythagoras2 marks
A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 2Venn Diagrams3 marks
In a Venn diagram, 14 are in A only, 4 in B only, 10 in both and 8 in neither. Work out the probability a random one is in both.
- 3Histograms2 marks
A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 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 + 3).
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