Daily Practice · Higher

Daily Practice - Higher

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

12th September 2015

5 questions · 14 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 = 27. Work out y when x = 7.
2
Vectors3 marks
a is the column vector (6, -3) and b is (3, -5). Work out 4a - 2b as a column vector.
3
Probability Trees3 marks
3 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Box Plots2 marks
A box plot has minimum 7, lower quartile 17, median 20, upper quartile 24 and maximum 32. Work out the interquartile range.
5
Standard Form3 marks
Work out (10 x 10^10) / (2 x 10^5). Give your answer in standard form.

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