Daily Practice · Higher

Daily Practice - Higher

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

21st March 1998

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 = 5, y = 200. Work out y when x = 7.
2
Vectors3 marks
a is the column vector (-1, 2) and b is (-5, 3). Work out 2a - 4b as a column vector.
3
Probability Trees3 marks
4 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 14, median 16, upper quartile 19 and maximum 25. Work out the interquartile range.
5
Surds2 marks
Write sqrt(75) in the form a sqrt(b), where b is as small as possible.

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