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 : 4. The larger has a volume of 1408 cm^3. Work out the volume of the smaller.
- 2Probability Trees3 marks
A bag holds 9 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
- 3Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 196 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4Standard Form3 marks
Work out (72 x 10^9) / (8 x 10^2). Give your answer in standard form.
- 5Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -90/x, work out y when x = 10, and write down the equation of its vertical asymptote.
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