Two Number Patterns Using Two Rules (Grade 5)

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Two Number Patterns Using Two Rules

1. 
Corresponding terms for Pattern A and Pattern B are shown.

Pattern A: 8, 12, 16, 20
Pattern B: 24, 36, 48, 60

Each term in Pattern A is 3 times the corresponding term in Pattern B.
  1. True
  2. False
2. 
Which is the next ordered pair in the pattern?

(10, 5), (8, 4), (6, 3)
  1. (2, 4)
  2. (2, 5)
  3. (4, 2)
  4. (5, 2)
3. 
Which is the next ordered pair in the pattern?

(1, 6), (3, 18), (5, 30)
  1. (7, 49)
  2. (7, 42)
  3. (8, 56)
  4. (8, 64)
4. 
Which is the missing ordered pair in the pattern?

(3, 9), (5, 15), (?, ?), (9, 27)
  1. (6, 9)
  2. (6, 18)
  3. (7, 10)
  4. (7, 21)
5. 
Which statement about corresponding terms in both Pattern A and Pattern B is always true?

Pattern X: 0, 4, 8, 12
Pattern Y: 0, 8, 16, 24
  1. Each term in Pattern X is 4 less than the corresponding term in Pattern Y.
  2. Each term in Pattern Y is 8 more than the corresponding term in Pattern X.
  3. Each term in Pattern X is twice the corresponding term in Pattern Y.
  4. Each term in Pattern Y is twice the corresponding term in Pattern X.
6. 
Which statement about corresponding terms in both Pattern A and Pattern B is always true?

Pattern A: 0, 1, 2, 3
Pattern B: 0, 5, 10, 15
  1. Each term in Pattern A is 5 times the corresponding term in Pattern B.
  2. Each term in Pattern B is 5 times the corresponding term in Pattern A.
  3. Each term in Pattern A is 4 more than the corresponding term in Pattern B.
  4. Each term in Pattern B is 4 more than the corresponding term in Pattern A.
7. 
Which statement about the third corresponding terms in both Pattern X and Pattern Y is true?

Pattern X: start at 10 and add 5
Pattern Y: start at 10 and add 10
  1. Both number values will be 20.
  2. Both number values will be less than 20.
  3. Both number values will be greater than 20.
  4. The Y value will be 20 and the X value will be more than 20.
  5. The X value will be 20 and the Y value will be more than 20.
8. 
Maggie is shown the coordinate grid with a point plotted.
Graph 10X10 Quadrant 1 (0, 5)
She must plot a second point on the plane using the following rules:

Start at the plotted point. Add 3 to the x-coordinate. Add 2 to the y-coordinate.

Which ordered pair should Maggie plot on the grid?
  1. (8, 2)
  2. (3, 7)
  3. (2, 3)
  4. (3, 3)
9. 
Daniel is shown the coordinate grid with a point plotted.
Graph 10X10 Quadrant 1 (7, 3)
He must plot a second point on the plane using the following rules:

Start at the plotted point. Subtract 4 from the x-coordinate. Add 5 to the y-coordinate.

Which ordered pair should Daniel plot on the grid?
  1. (3, 8)
  2. (3, 7)
  3. (11, 7)
  4. (11, 8)
10. 
Ariana earns money working as a soccer referee. The table shows the relationship between how much money Ariana earns and the number of games she referees.
Games Refereed3456
Ariana's Pay ($)6080100120

Which rule describes how Ariana can find the total amount of money she will earn for refereeing during the entire soccer season?
  1. Divide the total number of games she referees by 20 to find the amount of money earned.
  2. Divide the total number of games she referees by 60 to find the amount of money earned.
  3. Multiply the total number of games she referees by 20 to find the amount of money earned.
  4. Multiply the total number of games she referees by 60 to find the amount of money earned.

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