Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
21st March 2026
- 1Box Plots2 marks
A box plot has minimum 11, lower quartile 14, median 16, upper quartile 18 and maximum 21. Work out the interquartile range.
- 2Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.9292... as a fraction in its simplest form.
- 3Expanding and Factorising Quadratics3 marks
Factorise x^2 + 14x + 49.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 252. Work out y when x = 8.
- 5The Sine Rule3 marks
In triangle ABC, angle A is 51°, angle B is 35° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
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