Daily Practice

Higher

16th October 1971

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

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 5 are in A only, 18 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 8, lower quartile 13, median 20, upper quartile 28 and maximum 34. Work out the interquartile range.
4
Fractional and Negative Indices3 marks
Work out 27^(2/3).
5
Expanding Triple Brackets3 marks
Expand and simplify (x + 5)(x + 5)(x + 4).

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