Daily Practice

Higher

2nd November 1963

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 = 4, y = 144. Work out y when x = 9.
2
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 26 cm^2. Work out the area of the larger.
3
Conditional Probability3 marks
24 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 12, lower quartile 15, median 25, upper quartile 33 and maximum 40. Work out the interquartile range.
5
Standard Form3 marks
Work out (27 x 10^12) / (9 x 10^3). Give your answer in standard form.

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