Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

22nd January 2000

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 = 6, y = 108. Work out y when x = 8.
2
Vectors3 marks
a is the column vector (-3, 3) and b is (-6, -3). Work out 5a - 2b as a column vector.
3
Probability Trees3 marks
3 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 7, median 15, upper quartile 24 and maximum 30. Work out the interquartile range.
5
Bounds2 marks
A mass is 6 kg, correct to the nearest whole number. Write down the upper bound.

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