Daily Practice

Higher

29th July 1989

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x + 3)(x + 1)(x - 4).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 6.
3
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.
4
Venn Diagrams3 marks
In a Venn diagram, 9 are in A only, 12 in B only, 9 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 5, lower quartile 13, median 23, upper quartile 30 and maximum 37. Work out the interquartile range.

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