Daily Practice

Higher

5th April 1986

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 = 5.
2
Vectors3 marks
a is the column vector (2, 2) and b is (2, -6). Work out 5a - 4b as a column vector.
3
Probability Trees3 marks
2 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 14, lower quartile 17, median 24, upper quartile 32 and maximum 41. Work out the interquartile range.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.222... as a fraction in its simplest form.

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