Daily Practice · Higher

Daily Practice - Higher

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

12th August 2000

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x - 2)(x + 2)(x + 4).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 80. Work out y when x = 3.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 13 are in A only, 16 in B only, 12 in both and 10 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 11, lower quartile 13, median 20, upper quartile 25 and maximum 28. Work out the interquartile range.

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