Daily Practice · Higher

Daily Practice - Higher

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

5th February 2011

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 = 4, y = 32. Work out y when x = 7.
2
Vectors3 marks
a is the column vector (0, 6) and b is (-4, -6). Work out 5a - 2b as a column vector.
3
Probability Trees3 marks
1 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 10, lower quartile 19, median 29, upper quartile 33 and maximum 41. Work out the interquartile range.
5
Fractional and Negative Indices2 marks
Write 2^-2 as a fraction.

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