Review 2

Multiplication

100

A company has 1,800 employees. A branch office has 2 times as many employees as the company headquarters. How many employees does the branch office have?

A. 900 B. 1,802 C. 3,600 D. 5,400

Correct Answer: C. 3,600

200

A bakery orders 24 bags of flour.

Each bag contains 5 kilograms of flour. How many kilograms of flour did the bakery order in total?

• A. 10 kilograms

• B. 29 kilograms

• C. 120 kilograms

• D. 144 kilograms

Answer: C. 120 kilograms

Explanation: To find the total amount of flour, multiply the number of bags by the amount of flour in each bag: 24 bags * 5 kilograms/bag = 120 kilograms

300

Jarrel's concert ticket price increased 15 times its original price. If the original price was $20, what is the new price?

• A. $300
• B. $250
• C. $350
• D. $400

Correct Answer: A. $300

(box method)

400

A school has 32 classrooms.

Each classroom has 28 desks.

•  How many desks are there in the school in total?

  • A. 796 desks

  • B. 860 desks

  • C. 896 desks

  • D. 960 desks

Answer: C. 896 desks

Explanation: To find the total number of desks, multiply the number of classrooms by the number of desks in each classroom: 32 classrooms * 28 desks/classroom = 896 desks

500

A farmer has 45 apple trees in his orchard.

• Each apple tree produces 32 apples.

• 64 apples were not able to be sold and discarded. How many apples were available for sale from the farmer's orchard?

• A. 1,258 apples
  B. 1,376  apples
  C. 2,500 apples
  D. 1,400 apples
  
  
  
  

Answer: B. 1,376 apples

• Find the total number of apples produced:

  • The farmer has 45 apple trees.
  • Each tree produces an average of 32 apples.
  • To find the total number of apples, multiply the number of trees by the average apples per tree:
    • Total apples = 45 trees * 32 apples/tree = 1440 apples

• Determine the number of apples available for sale:

  • 64 apples were discarded and not sold.
  • To find the number of apples available for sale, subtract the discarded apples from the total apples produced:
    • Apples available for sale = 1440 apples - 64 apples = 1376 apples

600

Tatum has 18 bags of marbles.

Each bag contains 25 marbles. How many marbles does Tatum have in total?

A. 350 marbles  B. 450 marbles C. 550 marbles         D. 650 marbles

B. 450 marbles.

Find the total number of marbles:

• Tatum has 18 bags.
• Each bag contains 25 marbles.
• To find the total number of marbles, multiply the number of bags by the number of marbles per bag:
  • Total marbles = 18 bags * 25 marbles/bag = 450 marbles

Fractions

100

12/45 + 27/ 45 = 

39/45

200

Which expression is equivalent to 5/2?

A. 2/5 + 2/5 + 2/5 + 2/5 + 2/5

B. 1/2 + 1/2 + 1/2 + 1/2 + 1/2

C. 1/5 + 1/5 + 1/5 + 1/5 + 1/5

D. 2/1 + 1/2

Correct Answer: B. 1/2 + 1/2 + 1/2 + 1/2 + 1/2

Explanation: 5/2 means 5 halves. Therefore, adding 1/2 five times will give us 5/2.

300

Which point on the number line is equivalent to       13 8/10 ?

answer: 3rd box

400

Four friends are running a race:

• Emily ran 2/5 of a mile.

• Finn ran 3/4 of a mile.

• Greta ran 1/2 of a mile.

• Henry ran 4/6 of a mile.                                   Who ran the farthest?
  
  
  
  
  
  

Answer: Finn

Explanation:

• Find a common denominator for all the fractions. In this case, 20 works well.

• Convert each fraction to an equivalent fraction with a denominator of 20:

• 
  

  • Emily: 2/5 = 8/20

  • Finn: 3/4 = 15/20

  • Greta: 1/2 = 10/20

  • Henry: 4/6 = 13 1/3 /20

• Compare the numerators. 15 is the largest numerator, so Finn ran the farthest.

500

A juice box is filled with juice.

• At breakfast, 2/9 of the juice is drunk.

• At lunch, the rest of the juice is drunk.

Which statement is true?

A. More juice was drunk at breakfast than at lunch. 

B. More juice was drunk at lunch than at breakfast.

C.The same amount of juice was drunk at breakfast and lunch.                                                      

D. It is impossible to determine which meal had more juice drunk.

Answer: B. More juice was drunk at lunch than at breakfast.

Explanation:

• Breakfast: 2/9 of the juice was drunk.

• Lunch: The rest of the juice was drunk. Since only 2/9 was drunk at breakfast, more than 2/9 (and therefore more than half) was drunk at lunch.

600

1. Alice, Bob, Carol, and David are baking cookies.

• Alice uses 1/3 cup of sugar.

• Bob uses 3/8 cup of sugar.

• Carol uses 5/6 cup of sugar.

• David uses 2/4 cup of sugar.

Who used the most sugar?

Answer: Carol

Explanation:

• Find a common denominator for all the fractions. In this case, 24 works well.

• Convert each fraction to an equivalent fraction with a denominator of 24:

• 
  

  • Alice: 1/3 = 8/24

  • Bob: 3/8 = 9/24

  • Carol: 5/6 = 20/24

  • David: 2/4 = 12/24

  • Compare the numerators. 20 is the largest numerator, so Carol used the most sugar.

Division

100

108 divided by 9

12

200

Mariela has $1,259 to spend on toys for the animal shelter. Each toy costs $11. How many toys can Mariela buy for the shelter? 

What equation that could be used to represent this problem?

• A. 1259 ÷ 11 = x
• B. 11 ÷ 1259 = x
• C. 1259 + 11 = x
• D. 1259 - 11 = x

    

Correct Answer: A. 1259 ÷ 11 = x

300

Jenelly has $480 to spend on new gardening tools. Each tool costs $15. How many tools can Jenelly buy?

What equation that could be used to represent this problem?

• A. 480 ÷ 15 = x
• B. 15 ÷ 480 = x
• C. 480 + 15 = x
• D. 480 - 15 = x

Correct Answer: A. 480 ÷ 15 = x

400

A bakery received an order for 276 cupcakes for a school event. The bakery packages cupcakes in boxes that hold 12 cupcakes each. How many boxes will the bakery need to fill the entire order?

• A. 22 boxes

• B. 23 boxes

• C. 24 boxes

• D. 25 boxes

Correct Answer: B. 23 boxes

500

A poster at the store shows that five remote controllers cost $175. Each controller costs the same amount. What is the cost of one remote controller?

• A. $35
• B. $30
• C. $25
• D. $20

Correct Answer: A. $35

• Total cost: $175
• Number of controllers: 5

Equation: $175 ÷ 5 = $35

Therefore, the cost of one remote controller is $35.

600

Dasha bought 8 bags of candy for the class party. There were a total of 446 pieces of candy. Which of these is the best estimate of the number of pieces of candy in each bag?

• A. 30 pieces
• B. 80 pieces
• C. 60 pieces
• D. 40 pieces

Answer: C. 60 pieces

Explanation:

To estimate the number of pieces of candy in each bag, we can round the total number of pieces of candy to 450 and the number of bags to 8. Then, we can divide 450 by 8 to get an estimate of 56.25. Since the answer choices are whole numbers, the best estimate would be 60 pieces per bag.

Random

100

Damon made $155.00 selling at his lemonade stand. He spent $13.75 for the lemonade mix and $7.75 for cups. Which equation can be used to determine the profit that Damon made?

• A. Profit = $155.00 + $13.75 + $7.75

• B. Profit = $155.00 - ($13.75 + $7.75)

• C. Profit = $155.00 - $13.75 - $7.75

• D. Profit = $155.00 + ($13.75 + $7.75)

Answer: C. Profit = $155.00 - $13.75 - $7.75

To calculate Damon's profit, we need to subtract his expenses (the cost of lemonade mix and cups) from his total earnings.

200

James is painting a fence.

• On Monday, he paints 3/8 of the fence.

• On Tuesday, he paints another 2/8 of the fence.

Complete the model so that it is shaded to show the fraction of the fence completed by James 

Answer: D. 5/8

Explanation:

• James paints 3/8 of the fence on Monday and 2/8 on Tuesday.

• To find the total amount painted, add the fractions: 3/8 + 2/8 = ⅝

300

Ms.O'Conner used a table to show the relationship between two sets of numbers as shown.

Which statement best describes the relationship between Set A and Set B?

A. Set a (+ 5 ) = set b

B. Set a ( / 5 ) = set b

C. Set a ( - 5) = set b

D. Set a ( x 5 ) = set b

Answer : D. Set a ( x 5 ) = set b

400

The number of each type of fruit in one whole basket is shown below:

What equation represents the difference between the fraction of apples and the fraction of oranges in the basket?

A. 5/15 - 3/15 = 1/15

B.5/15 - 3/15 = 2/15

C. 5/15 - 3/5 = 2/15

D. 5/5 - 3/15 = 2/15

Answer : B.5/15 - 3/15 = 2/15

500

Sarah is building a sandbox for her children. The sandbox will be a rectangular prism with a length of 6 feet, a width of 4 feet, and a height of 1 foot. She wants to line the bottom of the sandbox with a waterproof liner.

Answer Choices:

A. 10 square feet B. 24 square feet C. 20 square feet D. 12 square feet

Correct Answer:

B. 24 square feet

Explanation:

To find the area of the bottom of the sandbox, we need to find the area of the rectangle. The area of a rectangle is calculated by multiplying the length by the width.

Area 1 = Length x Width

600

Makayla has 523 marbles. For her birthday, she was given 18 new bags of marbles. Each bag contained 25 marbles. Which equation could be used to find, m, the total number of marbles Makayla has now?

• A. m = 523 - 18 x 25
• B. m = 523 + 18 + 25
• C. m = 18 + 25 x 523
• D. m = 18 x 25 + 523

D. m = 18 x 25 + 523.

Here's why:

1. Find the total number of marbles in the new bags:

   • Sarah received 18 bags.
   • Each bag contains 25 marbles.
   • Multiply the number of bags by the number of marbles per bag: 18 bags * 25 marbles/bag = 450 marbles

2. Find the total number of marbles Sarah has now:

   • Sarah originally had 523 marbles.
   • Add the marbles from the new bags to her original amount: 523 marbles + 450 marbles = 973 marbles

The equation m = 18 * 25 + 523 directly represents these steps.

Random pt 2

100

What is Ms.O'Conner's favorite food genre?

• A. Bbq food
• B. Mexican food
• C. Seafood food
• D. Chinese food

C. seafood

200

What is a benchmark fraction?

• A. A fraction that is equal to one.
• B. A common fraction used for comparison and estimation.
• C. A fraction with a numerator of one.
• D. A fraction that represents a whole number.

Correct Answer: B. A common fraction used for comparison and estimation.

Explanation:

Benchmark fractions are familiar fractions like 1/2, 1/4, 3/4, and 1 that serve as points of reference for comparing and estimating the value of other fractions.

300

Emily is making a quilt. She needs a piece of fabric that is 125 cm long for the top and another piece that is 87 cm long for the backing. She buys a single piece of fabric long enough for both, but then realizes it's 35 cm too long.

How long is the fabric after Emily cuts off the excess?

Answer 1: 177 cm

1. Find the total fabric needed:

   • Add the lengths for the top and backing: 125 cm (top) + 87 cm (backing) = 212 cm

2. Account for the excess:

   • The fabric is 35 cm too long.
   • Subtract the excess from the total needed: 212 cm - 35 cm = 177 cm

Therefore, the correct fabric length after cutting off the excess is 177 cm.

400

The shaded portion of the figure represents a fraction.

Which model is NOT equivalent to this fraction?

A.

B.

C.

B. 1/2 

500

Diesel and Jett are painting a fence. Diesel paints 3/4 of the fence, and Jett paints 1/2 of the fence.

Which statement correctly compares the fraction of the fence each person painted?

A. 3/4 < 1/2 

B. 3/4 = ½

 C. 3/4 > ½

 D. 1/2 > 3/4

Answer: C. 3/4 > 1/2

Explanation:

• To compare, find a common denominator. The least common denominator for 4 and 2 is 4.

• Convert 1/2 to an equivalent fraction with a denominator of 4: (1 * 2) / (2 * 2) = 2/4

• Now compare: 3/4 > 2/4

• Therefore, Diesel painted a greater portion of the fence.

600

What is 2/6 + 12/18?

• A. 1/3
• B. 2/3
• C. 1
• D. 4/3

nswer: C. 1

Explanation:

1. Simplify the fractions:

   • 2/6 can be simplified to 1/3 by dividing both the numerator and denominator by 2.
   • 12/18 can be simplified to 2/3 by dividing both the numerator and denominator by 6.

2. Find a common denominator:

   • The least common denominator for 1/3 and 2/3 is 3.

3. Add the fractions:

   • 1/3 + 2/3 = 3/3

4. Simplify the result:

   • 3/3 simplifies to 1.

Therefore, 2/6 + 12/18 equals 1.