Daily Practice · Higher

Daily Practice - Higher

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

22nd April 2023

5 questions · 12 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 6 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 8 are in A only, 17 in B only, 2 in both and 7 in neither. Work out the probability a random one is in both.
3
Box Plots2 marks
A box plot has minimum 12, lower quartile 17, median 27, upper quartile 33 and maximum 40. Work out the interquartile range.
4
Surds2 marks
Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
5
Expanding Triple Brackets3 marks
Expand and simplify (x + 1)(x - 4)(x - 4).

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