Daily Practice

Higher

30th October 1982

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
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.
2
Venn Diagrams3 marks
In a Venn diagram, 11 are in A only, 4 in B only, 6 in both and 6 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 1, lower quartile 6, median 8, upper quartile 15 and maximum 23. Work out the interquartile range.
4
Surds2 marks
Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
5
Expanding Triple Brackets3 marks
Expand and simplify (x - 4)(x + 1)(x - 2).

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