Daily Practice · Higher

Daily Practice - Higher

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

19th February 2022

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 = 81. Work out y when x = 9.
2
Vectors3 marks
a is the column vector (3, 0) and b is (3, -1). Work out 4a - 4b as a column vector.
3
Probability Trees3 marks
5 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 14, lower quartile 19, median 21, upper quartile 30 and maximum 33. Work out the interquartile range.
5
Standard Form2 marks
Work out (9 x 10^8) x (7 x 10^-5). Give your answer in standard form.

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