Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

1st July 2006

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 = 2, y = 24. Work out y when x = 6.
2
Vectors3 marks
a is the column vector (1, -2) and b is (6, 6). Work out 3a - 3b as a column vector.
3
Probability Trees3 marks
2 of 5 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 12, lower quartile 15, median 21, upper quartile 23 and maximum 25. Work out the interquartile range.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.111... as a fraction in its simplest form.

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