Higher
14th August 1954
- 1Expanding Triple Brackets3 marks
Expand and simplify (x + 4)(x - 1)(x - 5).
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 81. Work out y when x = 9.
- 3Pythagoras2 marks
A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 4Venn Diagrams3 marks
In a Venn diagram, 10 are in A only, 6 in B only, 8 in both and 4 in neither. Work out the probability a random one is in both.
- 5Box Plots2 marks
A box plot has minimum 10, lower quartile 18, median 22, upper quartile 27 and maximum 35. Work out the interquartile range.
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Any date always gives the same five questions, so a sheet can be set again or shared. All of August 1954, including the monthly compilation PDF.