Daily Practice · Higher

Daily Practice - Higher

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

8th December 2012

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 = 4, y = 32. Work out y when x = 6.
2
Vectors3 marks
a is the column vector (6, -6) and b is (-3, 4). Work out 2a - 3b as a column vector.
3
Probability Trees3 marks
1 of 7 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 6, lower quartile 11, median 15, upper quartile 23 and maximum 30. Work out the interquartile range.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.7878... as a fraction in its simplest form.

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