Daily Practice

Higher

26th September 1987

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x - 5)(x + 5)(x - 5).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 2.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 18 are in A only, 6 in B only, 6 in both and 8 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 9, lower quartile 11, median 19, upper quartile 22 and maximum 25. Work out the interquartile range.

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