Daily Practice

Higher

7th March 1964

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 = 5, y = 225. Work out y when x = 7.
2
Vectors3 marks
a is the column vector (3, 1) and b is (-1, 1). Work out 4a - 3b 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 8, lower quartile 17, median 21, upper quartile 27 and maximum 36. Work out the interquartile range.
5
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?

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