Daily Practice

Higher

14th September 1977

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

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 3 are in A only, 9 in B only, 12 in both and 3 in neither. Work out the probability a random one is in both.
3
Cumulative Frequency2 marks
Four classes in order have frequencies 11, 5, 4, 12. Write down the cumulative frequency at the end of the third class.
4
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Expanding Triple Brackets3 marks
Expand and simplify (x - 1)(x - 1)(x - 1).

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