Daily Practice

Higher

20th February 1960

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x - 1)(x - 5)(x + 3).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 96. Work out y when x = 8.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 14 are in A only, 4 in B only, 3 in both and 4 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 15, lower quartile 22, median 29, upper quartile 38 and maximum 45. Work out the interquartile range.

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