Daily Practice

Higher

11th November 1967

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 = 81. Work out y when x = 5.
2
Vectors3 marks
a is the column vector (3, -5) and b is (-6, -2). Work out 2a - 3b as a column vector.
3
Probability Trees3 marks
3 of 6 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 4, lower quartile 12, median 20, upper quartile 26 and maximum 33. Work out the interquartile range.
5
Surds2 marks
Write sqrt(32) in the form a sqrt(b), where b is as small as possible.

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