Daily Practice · Higher

Daily Practice - Higher

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

16th January 2023

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

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 18 are in A only, 17 in B only, 2 in both and 4 in neither. Work out the probability a random one is in both.
3
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 228 values. What cumulative frequency do you read across from to estimate the lower quartile?
4
Reverse Percentages3 marks
A bill is £720 including VAT at 20%. Work out the amount before VAT.
5
Expanding Triple Brackets3 marks
Expand and simplify (x + 1)(x - 1)(x - 5).

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