Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
5th November 1999
- 1Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 8, y = 48. Work out y when x = 14.
- 2Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 2. The smaller has an area of 15 cm^2. Work out the area of the larger.
- 3Conditional Probability3 marks
13 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4Capture Recapture2 marks
A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 5Surds2 marks
Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
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