Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 5 : 8. Write y in terms of x.
- 2Vectors3 marks
a is the column vector (0, 6) and b is (-2, 6). Work out 3a - 3b as a column vector.
- 3Probability Trees3 marks
3 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4Capture Recapture3 marks
40 voles are marked and released. Later 32 are caught, of which 4 are marked. Estimate the population.
- 5The 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?
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