Daily Practice

Higher

8th May 1965

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

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 6 are in A only, 15 in B only, 9 in both and 10 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 3, lower quartile 13, median 21, upper quartile 31 and maximum 41. Work out the interquartile range.
4
Fractional and Negative Indices2 marks
Write 7^-3 as a fraction.
5
Expanding Triple Brackets3 marks
Expand and simplify (x - 5)(x - 4)(x - 4).

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