Daily Practice

Higher

11th April 1970

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 = 5, y = 225. Work out y when x = 9.
2
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 25 cm^2. Work out the area of the larger.
3
Conditional Probability3 marks
8 students study Spanish and 4 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 14, lower quartile 16, median 21, upper quartile 30 and maximum 32. Work out the interquartile range.
5
Standard Form2 marks
Work out (9 x 10^7) x (2 x 10^-5). Give your answer in standard form.

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