Daily Practice

Higher

23rd July 1955

5 questions · 14 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 = 6, y = 108. Work out y when x = 2.
2
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 23 cm^2. Work out the area of the larger.
3
Conditional Probability3 marks
24 students study Spanish and 12 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 1, lower quartile 10, median 20, upper quartile 23 and maximum 27. Work out the interquartile range.
5
Fractional and Negative Indices3 marks
Work out 16^(3/2).

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