Daily Practice

Higher

20th April 1974

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 = 36. Work out y when x = 4.
2
Vectors3 marks
a is the column vector (4, -2) and b is (5, 3). Work out 5a - 3b as a column vector.
3
Probability Trees3 marks
3 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 2, lower quartile 6, median 15, upper quartile 20 and maximum 25. Work out the interquartile range.
5
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?

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