Daily Practice

Higher

7th November 1954

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 7, y = 15. Work out y when x = 3.
2
Vectors3 marks
a is the column vector (-1, 4) and b is (4, -6). Work out 5a - 4b as a column vector.
3
Probability Trees3 marks
4 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 a minimum of 13 and a maximum of 64. Work out the range.
5
Surds2 marks
Write sqrt(45) in the form a sqrt(b), where b is as small as possible.

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