Daily Practice · Higher

Daily Practice - Higher

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

7th January 2012

5 questions · 13 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 = 36. Work out y when x = 9.
2
Vectors3 marks
a is the column vector (6, -5) and b is (-5, -2). Work out 2a - 2b as a column vector.
3
Probability Trees3 marks
4 of 7 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 8, median 15, upper quartile 19 and maximum 23. Work out the interquartile range.
5
Standard Form2 marks
Work out (3 x 10^6) x (6 x 10^2). Give your answer in standard form.

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