Daily Practice

Higher

27th October 1979

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 = 36. Work out y when x = 6.
2
Vectors3 marks
a is the column vector (4, 6) and b is (-4, -1). Work out 4a - 4b as a column vector.
3
Probability Trees3 marks
8 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 4, lower quartile 13, median 15, upper quartile 22 and maximum 28. Work out the interquartile range.
5
Bounds2 marks
A mass is 460 kg, correct to the nearest 10. Write down the upper bound.

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