Daily Practice

Higher

1st August 1959

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 = 2, y = 12. Work out y when x = 3.
2
Vectors3 marks
a is the column vector (-5, 1) and b is (3, -6). Work out 4a - 5b as a column vector.
3
Probability Trees3 marks
4 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 12, lower quartile 22, median 29, upper quartile 33 and maximum 43. Work out the interquartile range.
5
Bounds2 marks
A mass is 27.5 kg, correct to 1 decimal place. Write down the lower bound.

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