What is the missing number?

6 x (7 x 2) = (6 x 7) x __

A) 2 (Correct Answer)

B) 14

C) 42

D) None of the above

Explanation:

According to the Associative (Grouping) Property of Multiplication, the manner in which the factors in a multiplication expression are grouped does not affect the product. Therefore, the correct answer would be 2, since that is the missing factor in the expression on the right side.

Related Common Core State Standard: Number & Operations in Base Ten: 3.OA.5

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Complete the following equation:

_____ = 7 x 40

A) 740

B) 320

C) 280 (Correct Answer)

D) 110

Explanation:

To perform this multiplication, 40 can be viewed as 4 tens. 7 times 4 tens would be 28 tens, or 280.

Related Common Core State Standard: Number & Operations in Base Ten: 3.NBT.3

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Which of these shapes is not a polygon?

A)

B)

C)

D) (Correct Answer)

Explanation:

A polygon is a flat (two-dimensional) shape containing all straight sides. The oval is not a polygon since it is curved.

Related Common Core State Standard: Geometry: 3.G.1

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Which of these figures is not a quadrilateral?

A) A square

B) A pentagon (Correct Answer)

C) A trapezoid

D) A parallelogram

Explanation:

A quadrilateral is a polygon with exactly 4 sides. Squares, parallelograms, and trapezoids have four sides. A pentagon has 5 sides, meaning it is not a quadrilateral.

Related Common Core State Standard: Geometry: 3.G.1

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Which of these is a reasonable mass of a large dog?

A) 9 grams

B) 90 grams

C) 29 kilograms (Correct Answer)

D) 290 kilograms

Explanation:

Of these four choices, 29 kilograms is the most reasonable value for the mass of a large dog.

Related Common Core State Standard: Measurement & Data: 3.MD.2

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Which of the following products is odd?

A) 4 x 5 x 4

B) 6 x 6 x 0

C) 7 x 7 x 8

D) 3 x 9 x 5 (Correct Answer)

Explanation:

A product is odd only if all of the factors being multiplied are odd. Therefore, 3 x 9 x 5 will have an odd product.

Related Common Core State Standard: Operations & Algebraic Thinking: 3.OA.9

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Chris has 555 baseball cards in his collection. Which of these shows the number of cards rounded to the nearest hundred?

A) 560

B) 500

C) 600 (Correct Answer)

D) 550

Explanation:

To round this number to the nearest hundred, the student should look to the digit to the right of the hundreds (the tens). Because the tens digit is a five, the hundreds digit should be rounded up (to a 6). The tens and ones digits become zeroes. The rounded number is 600.

Related Common Core State Standard: Number & Operations in Base Ten: 3.NBT.1

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Chairs are being set up for a musical performance. The chairs are arranged in 8 rows of 30. How many chairs are being set up altogether?

A) 240 (Correct Answer)

B) 110

C) 248

D) 320

Explanation:

To solve this problem, 30 must be multiplied by 8. To perform this operation, 30 can be viewed as 3 tens. 8 times 3 tens would be 24 tens, or 240. There will be 240 chairs.

Related Common Core State Standard: Number & Operations in Base Ten: 3.NBT.3

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Donna must practice her violin for 30 minutes each day. If she starts practicing at 7:50 PM, when should she stop?

A) 8:30 PM

B) 8:20 PM (Correct Answer)

C) 8:15 PM

D) 8:00 PM

Explanation:

The student is being asked to determine what time it would be 30 minutes after 7:50 PM. The student could first add 10 minutes to 7:50 to reach 8:00. Then the remaining 20 minutes would advance the time to 8:20 PM. Thus, Donna would finish practicing at 8:20 PM.

Related Common Core State Standard: Measurement & Data: 3.MD.1

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Which of these is a reasonable mass of a new crayon?

A) 15 grams (Correct Answer)

B) 150 grams

C) 500 grams

D) 1,000 grams

Explanation:

Of these four choices, 15 grams is the most reasonable mass of a new crayon. The other values are too great.

Related Common Core State Standard: 3.MD.2

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A garden is in the shape of a rectangle. It is 20 feet long and 15 feet wide. What is the perimeter of the garden?

A) 70 feet (Correct Answer)

B) 60 feet

C) 35 feet

D) 50 feet

Explanation:

To find the perimeter of the garden, it is necessary to total all four dimensions. If the length of the garden is 20 feet and the width is 15 feet, then the perimeter would be found by adding 20 + 15 + 20 + 15. This expression would yield a total of 70 feet as the perimeter of the garden.

Related Common Core State Standard: 3.MD.8

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The Ridge Elementary School wants to raise $900 to pay for new gym equipment. The students raised $225 last week and $278 this week. How much more money do they need to raise to reach their goal?

A) $497

B) $403

C) $397 (Correct Answer)

D) $503

Explanation:

This is a two-step problem. First the total raised for the two-week period must be calculated. $225 + 278 = $503. To find how much more money must be raised, $503 must be subtracted from $900. $900 – 503 = $397. The students must raise $397 more.

Related Common Core State Standard: 3.OA.8

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Pencils are sold in packages of 12. If Mark needs a total of 48 pencils, which expression could be used to figure out how many packages Mark should buy?

A) 48 – 12

B) 48 + 12

C) 48 x 12

D) 48 ÷ 12 (Correct Answer)

Explanation:

This exercise requires division. If each package contains 12 pencils, then to find the number of packages that need to be purchased, divide 48 by 12. The expression would be 48 ÷ 12.

Related Common Core State Standard: 3.OA.2

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What is the product of 9 and 6?

A) 56

B) 54 (Correct Answer)

C) 48

D) 64

Explanation:

The basic multiplication fact is 9 x 6 = 54.

Related Common Core State Standard: 3.OA.7

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Find the product of 90 and 3.

A) 120

B) 270 (Correct Answer)

C) 360

D) 390

Explanation:

To perform this multiplication, 90 can be viewed as 9 tens. 3 times 9 tens would be 27 tens, or 270.

Related Common Core State Standard: 3.NBT.3

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Randy had 40 candies. He wanted to share them with 7 friends. He gave each friend 4 candies. How many candies did Randy have left after he was done sharing?

A) 12 candies (Correct Answer)

B) 16 candies

C) 18 candies

D) 28 candies

Explanation:

This exercise requires two steps. The first step is to use multiplication to find how many candies Randy gave away. The number sentence would be 4 x 7 =28. The second step would be to subtract (in order to find how many

candies Randy has left.)

The subtraction sentence would be 40 – 28 = 12. Therefore, Randy would have 12 candies left.

Related Common Core State Standard: 3.OA.8

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Tina is sorting out her magazines. She arranges them into 9 piles of 4 and 5 piles of 8. How many magazines does Tina have in all?

A) 85 magazines

B) 76 magazines (Correct Answer)

C) 26 magazines

D) 90 magazines

Explanation:

This problem can be solved in two steps. The first step is to multiply 9 by 4 and 5 by 8. The two products are 36 (9 x 4 = 36) and 40 (5 x 8 = 40). The second step is to sum these two products. The sum of 36 and 40 is 76. Tina has 76 magazines in all.

Related Common Core State Standard: 3.OA.8

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What is the missing value in the following number sentence?

7 x __ = 56

A) 8 (Correct Answer)

B) 7

C) 6

D) 9

Explanation:

The basic multiplication fact should read: 7 x 8 = 56.

Related Common Core State Standard: 3.OA.4

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**Which of these expressions has the same value as 6 x 4?**

A) 6 + 4 + 6 + 4

B) 4 + 4 + 4 + 4

C) 4 + 4 + 4 + 4 + 4 + 4 (Correct Answer)

D) 6 + 6 + 6 + 6 + 6 + 6

Explanation:

Since multiplication is a shorter way of computing repeated addition, the expression 6×4 (which means “six times four”) can be rewritten as 4 + 4 + 4 + 4 + 4 + 4.

Related Common Core State Standard: 3.OA.1

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Which of these expressions has a difference greater than 50?

A) 279-229

B) 291-244

C) 376-333

D) 300-248 (Correct Answer)

Explanation:

After evaluating each subtraction expression, the fourth choice (300 – 248) is the only expression that evaluates to a number greater than 50. (300 – 248 = 52).

Related Common Core State Standard: 3.NBT.2

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