Grade 5 Math Patterns

Complete the Pattern

100

Complete the pattern: 3, 6, 9, __, __, ___

12, 15, 18

200

Complete the pattern: 10, 15, 20, __, __, __

25, 30, 35

300

Complete the pattern: ___, 10, 13, __, __..

7, __, __,  16, 19

400

Complete the pattern: 14, 21, 16, __, ___, ___...

23, 18, 25

500

Complete the pattern: 26, 37, 21, ___, ___, ___...

32, 16, 27

Rule

100

5, 7, 9, 11...

start at 5, add 2 every time

200

9, 14, 19, 24...

start at 9, add 5 every time

300

23, 20, 17, 14...

start at 23, subtract 3 every time

400

30, 25, 29, 24, 28...

start at 30, alternately subtract 5 and then add 4

500

100, 92, 83, 75, 66... 

start at 100, alternately subtract 8 and then subtract 9

Make a Chart

100

Each rose has 6 petals. How many petals would there be if there were 4 roses?

Roses  |  Petals

1         |  6       

2         |  12      

3         |  18      

4         |  24      

200

Each player gets 1 racquet and 10 birdies to practice their badminton skills. How many birdies will be on the court if there are 6 players?

Players  | Birdies

1          |  10       

2          |  20      

3          |  30      

4          |  40      

5          |  50      

6          |  60      

300

Each horse needs 4 horse-shoes. How many horse-shoes will there be if there are 12 horses in the barn?

Horses  | Horseshoes

1          |  4       

2          |  8      

3          |  12      

4          |  16      

5          |  20      

6          |  24      

7          |  28       

8          |  32      

9          |  36      

10         |  40      

11         |  44      

12         |  48      

400

A basketball player needs to drink 8 glasses of water a day! How many glasses of water will a player have drank after 3 days?

Days    | Glasses

1          |  8       

2          |  16      

3          |  24      

500

Tim plays video games for 5 hours each day. How many hours will he have played on the 10th day?

Day      | Hours

1          |  5       

2          |  10      

3          |  15      

4          |  20      

5          |  25      

6          |  30      

7          |  35       

8          |  40      

9          |  45      

10         |  50      

Variable Expressions

100

Sam loves to eat but his big brother Tim loves to eat more! For each chocolate cupcake Sam has, Tim has 2 more.

S + 2

200

My big sister will always be ten years older than me! Therefore, the variable equation is...

M + 10

300

For every fish I got for my tank, my friend gets 5! 

M + 5

400

For every flower that grows in my garden, my neighbour grows 20!

M + 20

500

Sam collects rocks by the river. Sam is way better at collecting then his younger cousin! His cousin always has 20 less than him in his collection. 

S - 20

Variable Equations

100

Casper LOVES turtles! He always has 50 more than me. If Casper has 80, I would have….

80 - 50 = M

80 - M = 50

M + 50 = 80

200

Jesse is a way better runner than me! He is always 30 steps ahead of me! If I have ran 40 steps, how far at Jesse ran?

40 + 30 = X

X - 30 = 40

x - 40 = 30

300

I have a ton of shoes! I always have 25 more than my sister! If my sister has 5, than I have...

25 + 5 = S

S - 25 = 5

S - 5 = 25

400

John is good at chess but I am better! For every game he wins, I win 12. If John has won 10, I have won...

What is J+12=me so 10+12 = a total of 22 games won?

500

I love pop! For every glass my brother drinks, I can drink two! If he has drank 4, then I have drank...

4 + 2 = X

X - 2 = 4

X - 4 = 2