Prime Numbers
Factors and Multiples
Highest Common factor / Lowest Common multiple
Equivalent or simplified fractions
Ordering Fractions
100

State if 49 is a Prime Number or a Composite Number

Composite number

7 x 7 = 49

100

Find the complete set of factors for 48

1, 2, 4, 6, 8, 12, 24, 48

100

Find the Highest common factor for 75 and 125

25

100

Fill in the missing number for the following equivalent fraction
3 / 5 = ? / 20

15

100

What would be the correct mathematical symbol < (less then), = (equal to), > (greater then) in between the following pairs of fractions to make a true Mathematical statement
3 / 7     | ? |     2 / 7

> Greater then 

200

Find the prime factors of 42

2, 3, 7

200

Fill in the gaps to complete the set of factors
18: 1, 2, ____ , 6, 9, ____

3 and 18

200

Find the Lowest Common Multiple for 12 and 16

48

200

Find the unknown value to make the equation true
? / 1 = 14 / 7

2

200

Place the following fractions in ascending order
3 / 5   ,   8 / 5   ,   7 / 5

3 / 5   ,   7 / 5   ,   8 / 5

300

Which of these composite numbers has the fewest prime factors
12, 14, 16, 18, 20

16

300

Which number is the incorrect multiple for the following sequence
3, 6, 9, 12, 15, 18, 22, 24, 27, 30

22
not divisible by 3

300

Find the Lowest Common Multiple of 13 and 24

312

300

The list of fractions below are ment to contain only fractions in their simplest form; however, there is one mistake. Find the fraction that is not in simplest form and state the simplest form
1 / 3   ,   3 / 8   ,   5 / 9   ,   7 / 14

1 / 2
7 / 14 (divide both the numerator and denominator by 7)

300

Place the following fractions in descending order

1 / 15   ,   1 / 10   ,   1 / 50   ,   1 / 100

1 / 10    ,   1 / 15   ,   1 / 50   ,   1 / 100

400

13 and 31 are known as a pair of "reverse numbers". they are also prime numbers. Find any other two digit pair of prime reverse numbers

17 and 71, 37 and 73, 79 and 97, 11 and 11

400

Anson has invited 12 friends to his birthday party. He is making each of them a "lolly bag" to take home after the party. To be fair, he wants to make sure that each friend has the same number of lollies. Anson has a total of 300 lollies to share among the lolly bags.
How many lollies does Anson put in each of his friends' lolly bags?

25 Lollies in each bag

300 / 12 = 25

400

Find the Highest Common Factor (HCF) of 45 and 72

9

400

A family block of chocolate consists of 12 rows of 6 individual squares. Tania eats 16 individual squares. What fraction of the block, in simplest terms, has Tiana Eaten?

2 / 9

16 / 72 ( divide both the numerator and denominator by 8)

400

Four friends, Dean, David, Andrea and Rob, all competed in the great Ocean Road marathon. Their respective finishing times were 3 and 1 / 3 hours, 3 and 5 / 12 hours, 3 and 1 / 4 hours, and finally 3 and 4 / 15 hours. State the correct finishing order of the four friends

Andrea, Rob, Dean, David


500

Give one example of a pair of prime numbers that add up to a prime number (hint: must include the number 2)

2+3 = 5
2 + 5 = 7

all primes other than 2 are odd and two odds sum to give an even number that is not prime

500

A particular number is a multiple of 6 and also a multples of 15. This tells you that 6 and 15 are factors of the number. List all the other numbers that must be factors

1, 2, 3, 5, 10, and 30 must also be factors

500

Given that the Lowest Common Multiple (LCM) of a pair of different numbers is 20, find 3 possible pairs of numbers

1 and 20, 2 and 20, 4 and 20, 5 and 20, 10 and 20, 4 and 5, 4 and 10

500

Justin, Joanna and Jack are sharing a large pizza. The pizza has been cut into 12 equal pieces. Justin would like 1 / 3 of the pizza, Joanna would like 1 / 4 of the pizza and jack will eat whatever is remaining. By considering equivalent fractions, determine how many slices each person gets served.

Justin has 4 slices, Joanna gets 3 slices, and Jack gets 5 slices

500

State the fractions in each set with their Lowest Common Denominator (LCD) and then state the next two fractions that would continue the pattern.
2 / 9   ,   1 / 3   ,   4 / 9   ,   _____   , _____

2 / 9   ,    3 / 9   ,   4 / 9   ,   5 / 9   ,   6 / 9