Daily Practice

Higher

5th August 1989

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 5.
2
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 7 cm^2. Work out the area of the larger.
3
Conditional Probability3 marks
21 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
4
Box Plots2 marks
A box plot has minimum 3, lower quartile 9, median 18, upper quartile 25 and maximum 31. Work out the interquartile range.
5
Fractional and Negative Indices2 marks
Write 9^-1 as a fraction.

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