Daily Practice

Higher

10th October 1981

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 = 54. Work out y when x = 7.
2
Perpendicular Lines and the equation of a tangent2 marks
A line has gradient 4. Work out the gradient of a line perpendicular to it.
3
Conditional Probability3 marks
15 students study Spanish and 10 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 10, lower quartile 12, median 20, upper quartile 30 and maximum 38. Work out the interquartile range.
5
Surds2 marks
Write sqrt(18) in the form a sqrt(b), where b is as small as possible.

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