Daily Practice

Higher

6th February 1965

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 = 4.
2
Vectors3 marks
a is the column vector (0, -3) and b is (0, 4). Work out 2a - 3b as a column vector.
3
Probability Trees3 marks
2 of 9 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 10, lower quartile 19, median 28, upper quartile 30 and maximum 33. Work out the interquartile range.
5
Standard Form3 marks
Work out (10 x 10^10) / (5 x 10^4). Give your answer in standard form.

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