Daily Practice

Higher

26th October 1963

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x - 4)(x + 3)(x + 1).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 20. Work out y when x = 3.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 11 are in A only, 11 in B only, 10 in both and 1 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 11, lower quartile 16, median 20, upper quartile 26 and maximum 36. Work out the interquartile range.

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