Daily Practice

Higher

17th July 1971

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 = 45. Work out y when x = 9.
2
Vectors3 marks
a is the column vector (5, -6) and b is (6, -6). Work out 4a - 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 7, median 14, upper quartile 17 and maximum 22. Work out the interquartile range.
5
Standard Form2 marks
Work out (8 x 10^4) x (8 x 10^6). Give your answer in standard form.

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