4.OA.C Reassess

Bao has the number pattern below for a homework problem. 3, 7, 4, 8, 5, 9, 6, 10 . . . He says the pattern adds 3 to the first number and then subtracts 4 to get the next number. Did Bao correctly describe the pattern?

• No, the pattern adds 4 to the first number and then subtracts 3.

• No, the pattern subtracts 3 from the first number and then adds 4.

• No, the pattern adds 3 to the first number and then adds 4.

• Yes, Bao’s description of the pattern is correct.

Answer explanation

Bao's pattern description is incorrect. The sequence alternates by adding 4 and then subtracting 3: 3+4=7, 7-3=4, 4+4=8, 8-3=5, and so on. Thus, the correct choice is that it adds 4 and then subtracts 3.

Elias wrote a number pattern that follows a rule of adding 10 to each number to get the next number in the pattern. Which number pattern could be the one Elias wrote?

• 10, 30, 50, 70, . . .

• 14, 25, 36, 48, . . .

• 68, 58, 48, 38, . . .

• 36, 46, 56, 66, . . .

Answer explanation

Elias's pattern adds 10 to each number. The sequence 36, 46, 56, 66 shows this rule: 36 + 10 = 46, 46 + 10 = 56, and 56 + 10 = 66. The other options do not consistently add 10.

Rob created the pattern shown below with trapezoids. If the pattern continues, how many trapezoids should be in the fifth group?

• 8

• 10

• 11

• 9

Answer explanation

The pattern increases by 1 trapezoid for each group. Starting from 1 trapezoid in the first group, the sequence is 1, 2, 3, 4, and so on. Thus, the fifth group has 5 trapezoids, making the total 9 when including previous groups.

Gwen created a pattern starting with the number 5. She used the rule “multiply by 3 then add 2” to get the next number. Then she used the same rule to get the next number. Which list shows Gwen’s pattern?

• 5, 17, 53

• 5, 15, 17

• 5, 15, 45

• 5, 13, 29

Answer explanation

Starting with 5, multiply by 3 to get 15, then add 2 to get 17. Repeat: multiply 17 by 3 to get 51, then add 2 to get 53. The correct pattern is 5, 17, 53.

The table shows the values that result from using the rule

y = x + 5. Which value correctly completes the table?

• A) 10

• B) 11

• C) 12

• D) 13

Answer explanation

To find the missing value, substitute x into the equation y = x + 5. If x = 7, then y = 7 + 5 = 12. Thus, the correct value that completes the table is C) 12.

If the pattern continues, which shape comes next?

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Which number pattern follows the rule shown?

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Mrs. Wagner writes a pattern using the rule "add 5" with the starting number "3." Which of these statements best describes the pattern written by Mrs. Wagner?

• The numbers in the pattern are the factors of 3.

• The numbers in the pattern are the factors of 5.

• The numbers in the pattern end with a 0 or 5.

• The numbers in the pattern end with a 3 or 8.

Answer explanation

Mrs. Wagner's pattern starts at 3 and adds 5 repeatedly: 3, 8, 13, 18, etc. The resulting numbers end with 3 or 8, making the correct choice the one that states the numbers in the pattern end with a 3 or 8.

Consider the pattern. Which statement is true?

• The next number in the pattern is 23 because the rule is to add 6.

• The next number in the pattern is 23 because the rule is to subtract 6.

• The next number in the pattern is 25 because because the rule is to add 4.

• The next number in the pattern is 25 because the rule is to subtract 4.

Answer explanation

The correct choice is that the next number is 25 because the rule is to subtract 4. This indicates a consistent pattern of decreasing by 4, leading to the next number being 25.

Mrs. Wagner looks at a chart and notices a pattern. If she buys 6 boxes of cereal, how many total servings will she have?

• 40 servings

• 48 servings

• 56 servings

• 64 servings

Answer explanation

Each box of cereal contains 8 servings. If Mrs. Wagner buys 6 boxes, she will have 6 x 8 = 48 servings. Therefore, the correct answer is 48 servings.