Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

25th February 2023

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 12x + 27.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 3.
3
The Sine Rule3 marks
In triangle ABC, angle A is 42°, angle B is 68° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 17 are in A only, 10 in B only, 3 in both and 5 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 9, lower quartile 12, median 18, upper quartile 21 and maximum 27. Work out the interquartile range.

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