Daily Practice · Higher

Daily Practice - Higher

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

29th December 2008

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

1
Repeated Percentage Change3 marks
A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
2
Vectors3 marks
a is the column vector (3, -1) and b is (0, 6). Work out 4a - 4b as a column vector.
3
Probability Trees3 marks
2 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 204 values. What cumulative frequency do you read across from to estimate the lower quartile?
5
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?

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