Daily Practice · Higher

Daily Practice - Higher

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

20th March 2021

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 = 4, y = 96. Work out y when x = 7.
2
Vectors3 marks
a is the column vector (-1, 0) and b is (2, 1). Work out 2a - 3b as a column vector.
3
Probability Trees3 marks
2 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 8, lower quartile 13, median 22, upper quartile 27 and maximum 34. Work out the interquartile range.
5
Fractional and Negative Indices2 marks
Write 6^-3 as a fraction.

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