Daily Practice · Higher

Daily Practice - Higher

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

28th August 2004

5 questions · 14 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 = 252. Work out y when x = 3.
2
Vectors3 marks
a is the column vector (-6, 4) and b is (3, -5). Work out 4a - 2b as a column vector.
3
Probability Trees3 marks
1 of 8 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 23, median 28, upper quartile 30 and maximum 33. Work out the interquartile range.
5
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?

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