Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Box Plots2 marks
A box plot has minimum 1, lower quartile 6, median 8, upper quartile 13 and maximum 21. Work out the interquartile range.
- 2Surds2 marks
Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 3Expanding and Factorising Quadratics3 marks
Factorise x^2 + 12x + 27.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 4.
- 5The Sine Rule3 marks
In triangle ABC, angle A is 53°, angle B is 92° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
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