Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
16th February 2026
- 1Repeated Percentage Change3 marks
A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 2Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 25 cm^2. Work out the area of the larger.
- 3Conditional Probability3 marks
21 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 208 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.2727... as a fraction in its simplest form.
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