Daily Practice

Higher

31st July 1982

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 = 81. Work out y when x = 9.
2
Vectors3 marks
a is the column vector (-5, 1) and b is (-5, 4). Work out 3a - 2b as a column vector.
3
Probability Trees3 marks
2 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 1, lower quartile 5, median 11, upper quartile 16 and maximum 20. Work out the interquartile range.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.1313... as a fraction in its simplest form.

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