Daily Practice

Higher

4th May 1985

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 = 112. Work out y when x = 8.
2
Vectors3 marks
a is the column vector (2, 0) and b is (-4, -1). Work out 4a - 4b as a column vector.
3
Probability Trees3 marks
4 of 9 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 18, median 21, upper quartile 24 and maximum 31. Work out the interquartile range.
5
Standard Form3 marks
Work out (40 x 10^12) / (5 x 10^5). Give your answer in standard form.

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