Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 136 cm^3. Work out the volume of the smaller.
- 2Probability Trees3 marks
A bag holds 4 red and 8 blue counters. Two are taken without replacement. Work out the probability both are red.
- 3Capture Recapture2 marks
A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 4Reverse Percentages3 marks
A bill is £528 including VAT at 20%. Work out the amount before VAT.
- 5Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -45/x, work out y when x = 5, and write down the equation of its vertical asymptote.
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