Daily Practice · Higher

Daily Practice - Higher

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

23rd December 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 = 3, y = 27. Work out y when x = 9.
2
Vectors3 marks
a is the column vector (6, 5) and b is (-1, -1). Work out 2a - 5b as a column vector.
3
Probability Trees3 marks
3 of 5 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 11, lower quartile 18, median 28, upper quartile 36 and maximum 38. Work out the interquartile range.
5
Fractional and Negative Indices2 marks
Write 4^-2 as a fraction.

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