Daily Practice · Higher

Daily Practice - Higher

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

28th December 2024

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 10x + 16.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 175. Work out y when x = 6.
3
The Sine Rule3 marks
In triangle ABC, angle A is 72°, angle B is 34° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 15 are in A only, 3 in B only, 5 in both and 7 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 9, lower quartile 11, median 15, upper quartile 18 and maximum 27. Work out the interquartile range.

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