Daily Practice · Higher

Daily Practice - Higher

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

29th May 2025

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

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 7 are in A only, 8 in B only, 8 in both and 1 in neither. Work out the probability a random one is in both.
3
Histograms2 marks
A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
4
The Product Rule for Counting3 marks
A code is 3 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 - 5)(x + 1)(x - 4).

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