Daily Practice · Higher

Daily Practice - Higher

19th April 1997

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 = 288. Work out y when x = 3.
2
Vectors3 marks
a is the column vector (1, 4) and b is (-3, -5). Work out 5a - 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 2, lower quartile 8, median 16, upper quartile 18 and maximum 28. Work out the interquartile range.
5
Fractional and Negative Indices3 marks
Work out 49^(3/2).

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