Daily Practice

Higher

22nd March 1975

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 = 63. Work out y when x = 5.
2
Vectors3 marks
a is the column vector (0, -1) and b is (-4, -6). Work out 4a - 5b as a column vector.
3
Probability Trees3 marks
1 of 6 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 11, lower quartile 13, median 18, upper quartile 20 and maximum 27. Work out the interquartile range.
5
Standard Form3 marks
Work out (42 x 10^7) / (7 x 10^5). Give your answer in standard form.

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