Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
8th August 2025
- 1Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 2, y = 8. Work out y when x = 10.
- 2Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 3 cm^2. Work out the area of the larger.
- 3Conditional Probability3 marks
11 students study Spanish and 7 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.
- 5Reverse Percentages3 marks
A bill is £576 including VAT at 20%. Work out the amount before VAT.
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