Pattern & Function

​LCM (Least Common Multiples) &

HCF (Highest Common Factor) (GCF)

Multiple Choice

Which list contains all prime numbers?

• 1, 2, 3, 5, 7

• 2, 3, 5, 7, 11

• 1, 2, 4, 5, 7

• 2, 3, 4, 5, 7

Multiple Choice

2 x 2 x 2 is the prime factorization of...

• 6

• 12

• 22

• 8

Multiple Choice

Which is the prime factorization of 12 ? 

• 2 x 6

• 2 + 2 + 2 + 2 + 2 + 2 

• 2² x 3

• 1 x 2² x 3

Multiple Choice

Find the prime factorization of 72

• 2³ x 3²

• 2 x 3² x 4

• 2⁴ x 3³

• 2² x 6²

Fill in the Blanks

What is the
greatest common factor
 of 63 and 81? 

Multiple Choice

There are 90 girls and 60 boys participating in a race.  
The coach separates them in to two equal groups of all girls or all boys.  
What is the greatest number of students possible for each group? 

• 15

• 30

• 60

• 90

Multiple Choice

In gym class, the coach is dividing the students into teams. Each team should have the same number of boys and the same number of girls. There are 84 boys and 72 girls. What is the greatest number of teams that the coach can make? 

• 12

• 14

• 24

• 28

Multiple Choice

Mr. Goldman  makes snack bags for a field trip.
 - He has 90 crackers and 75 cookies.
- Each bag will have an equal number of crackers.  
- Each bag will have an equal number of cookies.
- No crackers or cookies will be left over.
What is the largest number of
bags Mr. Goldman can make? 

• 5

• 15

• 25

• 75

Fill in the Blanks

What is the 
least common multiple 
of 9 and 12 ?

Multiple Choice

At a school fundraiser, batteries are
available only in packages of 6.
A new robot toy requires 8 batteries.
If Mark wants to purchase several of these toys with the exact number of batteries for each toy, what is the least amount of each
he should purchase? 

• 3 packages of batteries and 2 robot toys 

• 3 packages of batteries and 3 robot toys

• 4 packages of batteries and 3 robot toys

• 8 packages of batteries and 6 robot toys

Multiple Choice

Brooke is buying soda and juice for her party. - There are 12 cans of soda in a package.
- There are 8 cans of juice in a package.
- She wants to have an equal number of soda and juice cans.
What is the fewest number of packages of juice Brooke needs to buy? 

• 2

• 3

• 4

• 8

Multiple Choice

The mathematics club wants to divide the boys and girls into the greatest number of teams possible. Each team will have the same number of boys and the same number of girls. There are 84 boys and 72 girls. How many boys and girls will be on each team? 

• 6 boys and 7 girls

• 7 boys and 6 girls

• 12 boys and 12 girls

• 14 boys and 12 girls

Multiple Choice

How would you solve the following equation?

$$15=f-9$$  

Fill in the Blanks

What is the value of x?

$-3+x=7$  

Multiple Choice

How would you solve the following equation?

$$7m\ =\ 14$$  

Fill in the Blanks

What is the value of x?

3x = 27

Multiple Choice

How would you solve the following equation?

$$\frac{x}{3}=7$$  

Fill in the Blanks

What is the value of x?

$\frac{x}{3}=4$  

Multiple Choice

Find the value of y:

y - 33 = 147

• y = 114

• y = 177

• y = 180

• Answer not Given

Multiple Choice

Find the value of a:

-3a + 8 = 14

• a= -2

• a= -7.5

• a= 2

• a= 6

Multiple Choice

Find the value of v:

$$42=6+9v$$  

• 5.33

• 39

• 4

• 3

Multiple Choice

$$21=3+4n+5n$$

Find the value of n 

• 9

• $$-7$$  

• 6

• 2

Multiple Choice

Find the value of x:

$$\frac{x}{5}+9=6$$  

• -18

• -15

• -12

• 75

Multiple Choice

What equation matches this situation?

Robyn had some video games then bought 4 more.  Now she has a total of 10 games.

• v - 4 = 10

• v + 4 = 10

• 10 - 4 = v

• Answer not Given

Multiple Choice

Parker has 85 toy cars. He separates the cars into 5 equal groups. Which equation can be used to find t, the number of toys in each group?

• 5 + t = 85

• t - 85 = 5

• 5t = 85

• $$\frac{t}{5}=85$$

Multiple Choice

Which equation models this situation?

Jacob collects hats. He has 6 hats already, and he collects 2 hats every week.

• y = 2x + 6

• y = 6x + 2

• y = 2x - 6

• y = 6x - 2

Multiple Choice

Which equation matches this situation?

Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.

• 50 + 20m = 290

• 20 + 50m = 290

• 50 + 20 = m

• 50m - 20 = 290

Multiple Choice

Lily bought a sweater and a coat. The sweater cost 3 as much as the coat. If the sweater cost $25, how much would the coat cost?

• $40.00

• $50.00

• $55.00

• $75.00

Multiple Choice

You bought a magazine for $3 and some candy bars for $2 each. You spent a total of $19. How many candy bars did you buy?

• 4

• 8

• 9

• 10

Multiple Choice

Nick had $24 to spend on seven pencils. After buying them he had $10. How much did each pencil cost?

• $1

• $2

• $3

• $4

Multiple Choice

Michael won 121 lollipops playing baseball at his school's game. Later, he gave four to each of his friends. He only has 9 remaining. How many friends does he have?

• 30

• 28

• 13

• 31

Multiple Choice

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

• 45

• 47

• 54

• 55

Multiple Choice

If there are 5 boys and 7 girls, write the ratio of girls to boys.

• 5 to 7

• 7 to 5

• 5 to 12

• 7 to 12

Multiple Choice

Ten soccer players were going to a soccer tournament with their three coaches. What is the ratio of coaches to players? 

• 10 : 3

• 10:13

• 3 : 10

• 3:13

Multiple Choice

In the fruit bowl there are 4 apples, 2 bananas, and 5 pears.  What is the ratio of pears to ALL fruit?

• 5:4

• 5:11

• 2:5

• 6:5

Multiple Choice

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

• 102 words per minute

• 100 words per minute

• 400 words per minute

• 412 words per minute

Multiple Choice

Simplify the ratio of
35 : 14

• 5 : 2

• 2 : 5

• 3 : 1

• 35: 14

Multiple Choice

The ratio of cups of sugar to cups of flour needed to bake cookies is 5 : 1.

If Myesha uses 25 cups of flour, how much sugar is needed?

• 125 cups

• 5 cups

• 15 cups

• 10 cups

Multiple Choice

Will spent $3.75 for 3 pounds of granola. What is his unit rate (the price of 1 pound of granola) in dollars?

• $1.25 per pound

• $1 per pound

• $2 per pound

• $1.50 per pound

Multiple Choice

Will spent $3.75 for 3 pounds of granola. How many pounds of granola can Will buy for $10

• 8 pounds

• 7 pounds

• 6 pounds

• 9 pounds

Multiple Choice

Danielle used 8 centimeters of tape to wrap 4 presents. How many presents did Danielle wrap if she used 30 centimeters of tape?

• 15 presents

• 16 presents

• 14 presents

• 13 presents

Multiple Choice

What does the ratio of this map scale mean?

1 : 300

• 1 mm = 300 cm

• 1 cm = 300 cm

• 1300 cm

• 1km = 300 cm

Multiple Choice

What is the actual distance of point D to point E if the map distance is 5 cm . Given that the map scale is 1 : 400

• 20 cm

• 200 cm

• 2000 cm

• 2 km

Multiple Choice

100 metres is equal to....

• 10 cm

• 1 km

• 10 000 cm

• 1000 cm

Multiple Choice

Calculate the distance on the map given that the actual distance between Shop A and Shop B is 400 metres. The map scale is given by 1 : 5000

• 50 cm

• 5 cm

• 80 cm

• 8 cm

Multiple Choice

2 km is equal to......

• 200 m

• 2000 cm

• 200 000 cm

• none

Multiple Choice

Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?

• 87 km

• 216 km 

• 33 km

• 192 km