Daily Practice · Higher

Daily Practice - Higher

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

3rd February 2018

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x - 3)(x - 2)(x - 3).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 9.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 10 are in A only, 15 in B only, 11 in both and 3 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 15, lower quartile 21, median 26, upper quartile 31 and maximum 35. Work out the interquartile range.

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