Daily Practice

Higher

1st November 1986

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 = 2, y = 12. Work out y when x = 7.
2
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 22 cm^2. Work out the area of the larger.
3
Conditional Probability3 marks
15 students study Spanish and 11 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 5, lower quartile 14, median 21, upper quartile 27 and maximum 31. Work out the interquartile range.
5
Surds2 marks
Write sqrt(72) in the form a sqrt(b), where b is as small as possible.

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