Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

10th December 1997

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

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 6 are in A only, 6 in B only, 7 in both and 6 in neither. Work out the probability a random one is in both.
3
Cumulative Frequency2 marks
Four classes in order have frequencies 3, 10, 6, 8. Write down the cumulative frequency at the end of the third class.
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 + 4)(x + 1).

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