Daily Practice · Higher

Daily Practice - Higher

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

12th August 2023

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Expanding Triple Brackets3 marks
Expand and simplify (x - 5)(x + 5)(x + 5).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 125. Work out y when x = 6.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 5 are in A only, 16 in B only, 2 in both and 8 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 4, lower quartile 10, median 18, upper quartile 21 and maximum 28. Work out the interquartile range.

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