Daily Practice

Higher

28th September 1957

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 = 5, y = 225. Work out y when x = 6.
2
Vectors3 marks
a is the column vector (-2, 3) and b is (1, 0). Work out 2a - 4b as a column vector.
3
Probability Trees3 marks
1 of 10 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 10, lower quartile 20, median 29, upper quartile 35 and maximum 40. Work out the interquartile range.
5
Surds2 marks
Write sqrt(8) in the form a sqrt(b), where b is as small as possible.

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