Daily Practice

Higher

8th April 1989

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

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 17 are in A only, 11 in B only, 12 in both and 9 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 5, lower quartile 14, median 23, upper quartile 28 and maximum 33. Work out the interquartile range.
4
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Expanding Triple Brackets3 marks
Expand and simplify (x + 2)(x + 3)(x + 4).

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