Daily Practice

Higher

10th December 1966

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 = 45. Work out y when x = 4.
2
Vectors3 marks
a is the column vector (2, 0) and b is (3, 6). Work out 3a - 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 2, lower quartile 9, median 19, upper quartile 29 and maximum 34. Work out the interquartile range.
5
Fractional and Negative Indices3 marks
Work out 36^(3/2).

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