Daily Practice · Higher

Daily Practice - Higher

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

7th October 2001

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 7, y = 12. Work out y when x = 6.
2
Vectors3 marks
a is the column vector (-1, -6) and b is (1, -1). Work out 5a - 5b as a column vector.
3
Probability Trees3 marks
4 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 a minimum of 3 and a maximum of 53. Work out the 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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