Daily Practice

Higher

6th June 1987

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

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 3 are in A only, 5 in B only, 10 in both and 3 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 8, lower quartile 16, median 22, upper quartile 29 and maximum 39. Work out the interquartile range.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.4747... as a fraction in its simplest form.
5
Expanding Triple Brackets3 marks
Expand and simplify (x + 5)(x - 2)(x + 3).

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