Daily Practice

Higher

28th August 1965

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 - 5).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 5.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 15 are in A only, 8 in B only, 5 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 8, lower quartile 15, median 25, upper quartile 27 and maximum 35. Work out the interquartile range.

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