Daily Practice · Higher

Daily Practice - Higher

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

19th March 2003

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Speed and Density2 marks
A block has volume 125 cm^3 and density 2.5 g/cm^3. Work out its mass.
2
Vectors3 marks
a is the column vector (3, 0) and b is (-3, -2). Work out 3a - 4b as a column vector.
3
Probability Trees3 marks
3 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Cumulative Frequency2 marks
Four classes in order have frequencies 5, 5, 7, 3. Write down the cumulative frequency at the end of the third class.
5
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?

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