Daily Practice

Higher

4th August 1962

5 questions · 12 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, 6 in B only, 11 in both and 2 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 5, lower quartile 15, median 22, upper quartile 31 and maximum 41. Work out the interquartile range.
4
Surds2 marks
Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
5
Expanding Triple Brackets3 marks
Expand and simplify (x + 1)(x + 5)(x - 3).

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