Daily Practice · Higher

Daily Practice - Higher

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

24th November 2001

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 = 6, y = 72. Work out y when x = 2.
2
Vectors3 marks
a is the column vector (6, -5) and b is (2, -4). Work out 5a - 3b as a column vector.
3
Probability Trees3 marks
1 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 7, lower quartile 10, median 14, upper quartile 21 and maximum 31. Work out the interquartile range.
5
Standard Form2 marks
Work out (9 x 10^4) x (5 x 10^6). Give your answer in standard form.

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