Daily Practice

Higher

26th April 1986

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

1
Box Plots2 marks
A box plot has minimum 15, lower quartile 19, median 22, upper quartile 32 and maximum 38. Work out the interquartile range.
2
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
3
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 70/x, work out y when x = -10, and write down the equation of its vertical asymptote.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 2.
5
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 216 cm^3. Work out the volume of the smaller.

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