Daily Practice · Higher

Daily Practice - Higher

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

30th July 2005

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 = 6, y = 108. Work out y when x = 3.
2
Vectors3 marks
a is the column vector (2, 1) and b is (4, 3). Work out 5a - 2b as a column vector.
3
Probability Trees3 marks
3 of 10 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 3, lower quartile 13, median 17, upper quartile 21 and maximum 29. Work out the interquartile range.
5
Standard Form3 marks
Work out (81 x 10^9) / (9 x 10^3). Give your answer in standard form.

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