Daily Practice · Higher

Daily Practice - Higher

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

26th March 2022

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 6x + 9.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 3.
3
The Sine Rule3 marks
In triangle ABC, angle A is 76°, angle B is 59° and side a is 11 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, 13 in B only, 5 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 4, lower quartile 12, median 16, upper quartile 22 and maximum 31. Work out the interquartile range.

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