Daily Practice

Higher

27th September 1980

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 = 4, y = 80. Work out y when x = 9.
2
Vectors3 marks
a is the column vector (0, -2) and b is (3, 2). Work out 5a - 4b 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 13, lower quartile 23, median 30, upper quartile 35 and maximum 41. Work out the interquartile range.
5
Fractional and Negative Indices2 marks
Write 4^-3 as a fraction.

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