Numerical Pattern Rules

The table below shows the number of cards that two friends add to their collection using two different rules. Which statement is always true when comparing the number of cards that Sayuri and James have?

• James has 4 fewer cards than Sayuri.

• James has 20 fewer cards than Sayuri.

• James has 3 times fewer cards than Sayuri has.

• James have 6 times fewer cards than Sayrui has.

Use the rules below to continue the numerical patterns, both patterns begin with 0. Pattern A: add 4 Pattern B: add 7

• Pattern A: 0, 4, 8, 12, 16, 24

  Pattern B: 0, 7, 14, 21, 28, 42

• Pattern A: 0, 3, 6, 9, 12, 15

  Pattern B: 0, 12, 24, 36, 48, 60

• Pattern A: 0, 4, 8, 12, 16, 20

  Pattern B: 0, 7, 14, 21, 28, 35

• Pattern A: 4, 8, 12, 16, 20, 24

  Pattern B: 7, 14, 21, 28, 35, 42

Ernestina and Ransel each created a number pattern. Ernestina's rule is "Add 2." Ransel's rule is "Add 6." Both patterns start at 0. Which is true about the third number in each of their number patterns?

• The third number is Ransel's pattern is triple the third number in Ernestina's pattern.

• The third number in both patterns is odd.

• The third number in Ernestina's pattern is three times as much as the third number in Ransel's pattern.

• The third number in Ransel's pattern is double the third number in Ernestina's pattern.

Melissa and Javier are creating number patterns. Melissa uses the rule, "multiply by 2" and starts at 2. Javier uses the rule, "add 4" and starts at 4. Which term in Melissa's sequence equals Javiers second term?

• Melissa's second term equals Javier's fourth term of 23.

• Melissa's fourth term equals Javier's fourth term of 16.

• Melissa's third term equals Javier's second term of 8.

• Melissa's fifth term equals Javier's fourth term of 18.

Which rule shows how to find the value when given the position?

• +1.5

• +1.4

• +0.05

• +0.5

Find the rule the pattern is using:

8,16,32,64

• Add 16

• Multiply 2

• Add 8

• Multiply 5

Find the rule the pattern is using:

3,9,15,21,27

• Multiply 3

• Add 4

• Add 6

• Multiply 10

What is the rule for Pattern B?

• The rule for Pattern B is add 20.

• The rule for Pattern B is add 2.

• The rule for Pattern B is multiply 10.

• The rule for Pattern B is subtract 20.

What is the rule for this pattern?

32, 36, 40, 44

• add 4

• multiply 2

• subtract 4

• divide by 2

The table shows the relationship between the position of a number in a pattern and its value. Which rule shows how to find the value when given the position?

• • + 1.5

• • + 1.4

• • + 0.05

• • + 0.5

Tags

4.5B

Cat 2