Daily Practice · Higher

Daily Practice - Higher

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

14th June 2023

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

1
Speed and Density2 marks
A block has volume 35 cm^3 and density 4 g/cm^3. Work out its mass.
2
Vectors3 marks
a is the column vector (0, 2) and b is (1, -4). Work out 2a - 3b as a column vector.
3
Probability Trees3 marks
1 of 5 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 8, 3, 10, 6. 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 2 digits (0 to 9), and repeats are allowed. How many codes are possible?

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