Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 6, y = 12. Work out y when x = 7.
- 2Vectors3 marks
a is the column vector (2, -4) and b is (-5, -2). Work out 5a - 4b as a column vector.
- 3Probability Trees3 marks
2 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4Capture Recapture2 marks
A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 5Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.111... as a fraction in its simplest form.
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