Name 10 multiples of 2
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
What is the highest common factor of
20 and 32
4
what is the lowest common multiple of
6 and 15
3
Show the primary factorisation of 36
2 x 2 x 3 x 3 = 36
Simplify the below using index notation
2 x 2 x 2 x 3 x 3
23 x 32
If my number is 25, name the multiples lowest to highest
5, 10, 15, 20, 25
Find the HCF of 38 and 12
What is the LCM of
18 and 30
6
Simplify the below using exponent notation and solve
2 x 3 x 3 x 7
2 x 7 x 32 =126
Simplify the below using index notation
3 x 5 x 7
Trick question :)
My highest multiple is 50
My lowest multiple is 10
Name all the multiples from 10 - 50
10, 20, 30, 40, 50
Sarah has 18 red apples and 24 green apples. She wants to distribute them equally into gift baskets. What is the largest number of apples she can put in each basket without any apples left over?
The HCF of 18 and 24 is 6. Therefore, Sarah can put 6 apples in each basket.
Name 2 numbers where the LCM is 6
1, 2, 3, 6
show the primary factorisation of
80
2 x 2 x 2 x 2 x 5 = 80
Simplify, then solve the below using index notation
5 x 5 x 5 x 3
53 x 3 = 360
I take the stairs climbing 2 steps at a time
I reach the top after 10 steps
what is the number of stairs?
20
A farmer has 36 eggs and 48 tomatoes. He wants to distribute them equally in cartons. What is the highest number of eggs and tomatoes he can put in each carton without any leftovers?
(Hint its the HCF)
12 Tomatoes and 12 Eggs per carton
What kind of mathematical equation have we been learning about this week requires us to find the LCM?
Prime factorisation
Show 2 different pathways to find the primary factorisation for
120
2 x 2 x 2 x 3 x 5 = 120
3 x 2 x 5 x 2 x 2 = 120
Which equation has a greater answer?
52 x 32 and 34 x 5
52 x 32 = 225
34 x 5 = 405
If my number is 30
Name 2 different sets of multiples that can reach 30
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30
5, 10, 15, 20, 25, 30
6, 12, 18, 24, 30
10, 20, 30
Tom is packaging lollies into boxes. He has 15 blue lollies and 25 yellow candies. What is the largest number of lollies he can pack into boxes so that each box has the same number of candies?
The HCF of 15 and 25 is 5. Therefore, Tom can pack 5 candies into boxes so that each box has the same number of candies.
My LCM of my two numbers is 4
My first number is half of the second number
What are my numbers?
2 and 4
Show the primary factorisation of
16
2 x 2 x 2 x 2 = 24 = 16
Show the standard form of
43 x 72
4 x 4 x 4 x 7 x 7