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Patterns (Grade 4)

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Patterns

1. 
A number pattern is shown below.

100, 95, 110, 105, 120, ...

If this pattern continues, what number will come next?
  1. 100
  2. 115
  3. 120
  4. 130
2. 
Mark set up a lemonade stand at a local park. He sold 10 cups of lemonade on the first day, 15 cups on the second day, 17 cups on the third day, 22 cups on the fourth day, and 24 cups on the fifth day. If this trend continues, how many cups of lemonade can he expect to sell on the ninth day?
  1. 36
  2. 38
  3. 29
  4. 43
3. 
Madison has the number pattern below for a homework problem.

3, 7, 4, 8, 5, 9, 6, 10

She says the pattern adds 3 to the first number and then subtracts 4 to get the next number. Did Madison correctly describe the pattern?
  1. No, the pattern adds 4 to the first number and then subtracts 3
  2. No, the pattern subtracts 3 from the first number and then adds 4
  3. No, the pattern adds 3 to the first number and then adds 4
  4. Yes, Madison's description of the pattern is correct
4. 
Randy is stacking colored blocks. He places the blocks one on top of another in this order: blue, red, yellow, blue, red, green, blue, red, yellow. If he continues the pattern, what will be the color of the 18th block?
  1. Green
  2. Blue
  3. Red
  4. Yellow
5. 
Rachel used a rule to create the following pattern.

11, 14, 17, 20, 23, 26

Her friend correctly created a similar pattern using Rachel's rule. Which pattern did Rachel's friend create?
  1. 18, 24, 29, 33, 36, 38
  2. 16, 19, 22, 25, 28, 31
  3. 3, 9, 27, 81, 243, 729
  4. 2, 5, 9, 14, 20, 27
6. 
Michael saw this pattern of numbers on a stack of note cards:

1, 8, 15, 22, 29, 36

Which set of numbers appears to follow the same rule?
  1. 2, 10, 18, 26, 34, 42
  2. 5, 12, 19, 26, 33, 40
  3. 7, 17, 27, 37, 47, 57
  4. 8, 16, 28, 36, 38, 46
7. 
Tyler set up a drink stand at the football game. She sold 8 cups on the first day, 11 cups on the second day, 17 cups on the third day, 20 cups on the fourth day, and 26 cups on the fifth day. If this trend continues, how many cups can she expect to sell on the eighth day?
  1. 29
  2. 53
  3. 35
  4. 38
8. 
Madison has the number pattern below for a homework problem.

5, 3, 8, 6, 11

She says that the number pattern adds 5 to the first number and then subtracts 2 to get the next number. Did Madison correctly describe the pattern?
  1. No, the pattern adds 5 to the first number and then subtracts 2.
  2. No, the number pattern subtracts 2 to the first number and then adds 5.
  3. No, the pattern subtracts adds 3 to the first number and then adds 4.
  4. Yes, Madison's description of the pattern is correct.
9. 
Bruce made a pattern using a two-step rule in which he first multiplies and then subtracts. He started with 5 and used the two-step rule to make the pattern, as shown below.

5, 10, 8, 16, 14, 28, 26, ?

Which number should Bruce write next in the pattern?
  1. 24
  2. 26
  3. 52
  4. 56
10. 
A number pattern is shown below.

1 2 2 3 1 2 2 3

Which group of words represents the pattern shown above?
  1. blue, green, blue, red, blue, green, blue, red
  2. green, blue, blue, green, green, blue, blue, green
  3. blue, green, green, red, blue, green, green, red
  4. green, blue, green, red, green, blue, green, red
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