Daily Practice · Higher

Daily Practice - Higher

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

15th July 2017

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 = 9.
2
Vectors3 marks
a is the column vector (-1, 0) and b is (2, -3). Work out 4a - 3b as a column vector.
3
Probability Trees3 marks
3 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 3, lower quartile 9, median 18, upper quartile 26 and maximum 28. Work out the interquartile range.
5
Fractional and Negative Indices3 marks
Work out 25^(3/2).

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