Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
26th August 2005
- 1Capture Recapture2 marks
A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 2The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 3Expanding Triple Brackets3 marks
Expand and simplify (x - 5)(x - 2)(x + 1).
- 4Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 4, y = 36. Work out y when x = 9.
- 5Pythagoras2 marks
A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
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