Daily Practice

Higher

8th December 1973

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 + 4).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 180. Work out y when x = 4.
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, 17 are in A only, 9 in B only, 12 in both and 9 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 18, upper quartile 27 and maximum 29. Work out the interquartile range.

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