Daily Practice

Higher

2nd July 1983

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 = 6, y = 180. Work out y when x = 9.
2
Vectors3 marks
a is the column vector (-6, 4) and b is (-6, 4). Work out 2a - 4b as a column vector.
3
Probability Trees3 marks
2 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 8, lower quartile 15, median 25, upper quartile 28 and maximum 38. Work out the interquartile range.
5
Reverse Percentages3 marks
A bill is £144 including VAT at 20%. Work out the amount before VAT.

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