Daily Practice

Higher

23rd June 1956

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 = 4, y = 112. Work out y when x = 5.
2
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 2. The smaller has an area of 13 cm^2. Work out the area of the larger.
3
Conditional Probability3 marks
19 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 13, lower quartile 18, median 28, upper quartile 36 and maximum 39. 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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