Daily Practice

Higher

17th May 1980

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x + 3)(x + 1)(x - 1).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 8.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 11 are in A only, 12 in B only, 10 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 7, lower quartile 12, median 21, upper quartile 28 and maximum 32. Work out the interquartile range.

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