Daily Practice

Higher

30th August 1958

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 = 3, y = 72. Work out y when x = 9.
2
Vectors3 marks
a is the column vector (-2, -6) and b is (2, 3). Work out 5a - 2b as a column vector.
3
Probability Trees3 marks
2 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 11, lower quartile 15, median 24, upper quartile 26 and maximum 30. Work out the interquartile range.
5
The Product Rule for Counting2 marks
A meal deal has 8 mains, 9 sides and 4 drinks. How many different meals are possible?

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