Daily Practice · Higher

Daily Practice - Higher

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

10th September 2005

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 = 5, y = 175. Work out y when x = 3.
2
Perpendicular Lines and the equation of a tangent2 marks
A line has gradient -5. Work out the gradient of a line perpendicular to it.
3
Conditional Probability3 marks
23 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 7, lower quartile 16, median 21, upper quartile 25 and maximum 31. Work out the interquartile range.
5
Standard Form2 marks
Work out (9 x 10^7) x (5 x 10^6). Give your answer in standard form.

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