Daily Practice

Higher

15th August 1970

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 = 5, y = 175. Work out y when x = 8.
2
Vectors3 marks
a is the column vector (0, 5) and b is (0, -6). Work out 2a - 2b as a column vector.
3
Probability Trees3 marks
6 of 8 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 15, lower quartile 25, median 30, upper quartile 39 and maximum 46. Work out the interquartile range.
5
Fractional and Negative Indices2 marks
Write 9^-1 as a fraction.

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