Daily Practice

Higher

23rd December 1961

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 = 4, y = 96. Work out y when x = 3.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 10 are in A only, 14 in B only, 3 in both and 7 in neither. Work out the probability a random one is in both.
5
Box Plots2 marks
A box plot has minimum 12, lower quartile 22, median 25, upper quartile 32 and maximum 39. 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 December 1961, including the monthly compilation PDF.