Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Probability Trees3 marks
1 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 3Surds2 marks
Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 4Simultaneous Equations3 marks
3 teas and 3 cakes cost £8.25. 4 teas and 2 cakes cost £7.90. Find the price of a tea.
- 5Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 9, y = 81. Work out y when x = 10.
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