Yr 7 Test 2 Review
1.
Calculate the highest common factor (HCF) of: a.
6 and 9 b.
28 and 64 c.
24 and 36
2.
Calculate the lowest common multiple (LCM) of: a.
3 and 4 b.
5 and 20 c.
10 and 14 d.
6 and 8
3.
The following numbers are either multiples , factors or neither of 9. List all the “ neither of
” numbers: 1, 2, 3, 9, 12, 18, 27, 28, 36
4.
List all prime numbers below 40:
5.
List all composite numbers ( numbers that are not prime) between 40 and 60:
6.
a.
Write 4
3
in expanded form: b.
Evaluate 4
3
7.
Write 64 as a power with base: a.
2 b.
4 c.
8

8.
Evaluate: a.
3 X 3 X 3 X 3 = b.
2 X 2 + 3 X 3 X 3 = c.
3 2 X 4 3 (do not forget long multiplication)
9.
Use prime decomposition to create factor trees for the following ( remember to write the final answer as a product of powers): a.
32 b. 98 c. 120
10.
Michael runs laps of ‘the circuit’ in 3 minutes. Nico runs laps of the same circuit in 4 minutes. Pieter can run laps of the same circuit in 6 minutes. They all start together on the starting line and run a ‘race’ that goes for 36 minutes. a.
What is the first time, after the start, that they will all cross over the starting line together? b.
How many laps will each boy complete in the race? c.
How many times does Nico overtake Michael during this race?
11.
Give two examples of a pair of primes that add to a prime number. Explain why all possible pairs of primes that add to a prime must contain the number 2.
12.
A text message is sent to five friends. Each of the five friends then forwards it to five other friends and each of these people also sends it to five other friends. How many people does the text message reach, not including those who originally forwarded the message?
13.
Represent the number 24 with four different factor trees, each resulting in the same set of prime factors. Note that simply swapping the order of a pair of factors does not qualify it as a different form of the factor tree.