Daily Practice

Higher

23rd January 1954

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 = 144. Work out y when x = 7.
2
Vectors3 marks
a is the column vector (-6, 1) and b is (-4, -1). Work out 4a - 2b 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 1, lower quartile 6, median 11, upper quartile 15 and maximum 25. Work out the interquartile range.
5
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?

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