Daily Practice

Higher

23rd November 1985

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x - 2)(x - 3)(x - 2).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 216. Work out y when x = 4.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 6 are in A only, 7 in B only, 10 in both and 10 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 1, lower quartile 9, median 17, upper quartile 20 and maximum 23. Work out the interquartile range.

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