Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

2nd April 2022

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 = 6, y = 108. 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
20 students study Spanish and 6 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 12, lower quartile 21, median 23, upper quartile 33 and maximum 35. Work out the interquartile range.
5
Surds2 marks
Write sqrt(32) in the form a sqrt(b), where b is as small as possible.

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