Daily Practice

Higher

15th July 1961

5 questions · 12 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 = 3, y = 36. Work out y when x = 8.
2
Perpendicular Lines and the equation of a tangent2 marks
A line has gradient -2. Work out the gradient of a line perpendicular to it.
3
Conditional Probability3 marks
21 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 3, lower quartile 13, median 20, upper quartile 22 and maximum 29. Work out the interquartile range.
5
Surds2 marks
Write sqrt(48) in the form a sqrt(b), where b is as small as possible.

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