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Math Chapter 3

Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 

 1. 

Which model represents 18 objects divided into 6 equal groups?
a.
chapter_three_files/i0020000.jpg
c.
chapter_three_files/i0020001.jpg
b.
chapter_three_files/i0020002.jpg
d.
chapter_three_files/i0020003.jpg
 

 2. 

There are 12 people on a basketball team. The coach asks the team to divide into groups of 2 for drills. Which equation can you use to find how many people are in each group?
a.
12 + 6 = n
c.
12 ¸ 2 = n
b.
12 – 2 = n
d.
2 ´ 6 = n
 

 3. 

A car travels 300 miles in 6 hours and travels the same distance each hour. How many miles does the car travel each hour?
chapter_three_files/i0040000.jpg
a.
40 miles
b.
50 miles
c.
60 miles
d.
70 miles
 

 4. 

Maria earned $420 at her uncle’s orchard. If she stayed for 7 weeks and earned the same amount of money each week, how much did she earn per week?
chapter_three_files/i0050000.jpg
a.
$50.00
b.
$60.00
c.
$65.00
d.
$85.00
 

 5. 

Darice is drawing the following series of pictures for art class. The first picture contains 2 circles, the second picture contains 5 circles, and the third picture contains 9 circles. If this pattern continues, how many circles would be in the fifth picture?
chapter_three_files/i0060000.jpgchapter_three_files/i0060001.jpgchapter_three_files/i0060002.jpg
Picture 1
Picture 2
Picture 3
a.
14 circles
b.
20 circles
c.
23 circles
d.
24 circles
 

 6. 

Isabel set up a lemonade stand in her neighborhood. The first day she sold 6 cups, the second day 12 cups, the third day 18 cups, and the fourth day 24 cups. If this pattern continues, how many cups will she sell on the fifth day?
a.
24 cups
b.
27 cups
c.
30 cups
d.
36 cups
 

 7. 

Charles and six friends made hats to sell at the fair. If they share their profit of $245 equally, how much money will each get?
chapter_three_files/i0080000.jpg
a.
$35
b.
$30
c.
$25
d.
$20
 

 8. 

Five classes from a school in Connecticut collected a total of 1,080 pounds of paper to recycle. If each class collected the same amount, how much did each class collect?
a.
188 pounds
b.
204 pounds
c.
216 pounds
d.
226 pounds
 

 9. 

The pet store can keep 7 fish in each tank. To find the number of tanks needed for 4,937 fish, the store manager divided by 7 as shown.
chapter_three_files/i0100000.jpg
R2
chapter_three_files/i0100001.jpg
How can the manager check the result?
a.
Multiply 705 by 2, and then add 7.
b.
Multiply 2 by 7, and then add 705.
c.
Multiply 705 by 7, and then add 2.
d.
Add 705 and 7, then multiply by 2.
 

 10. 

Six friends spent $100.62 on decorations for a party. If they split the cost equally, how much did each pay?
chapter_three_files/i0110000.jpg
a.
$16.14
b.
$16.77
c.
$18.14
d.
$20.22
 

 11. 

Andy bought 3 equally priced tropical fish for $16.77. What was the cost of each fish?
chapter_three_files/i0120000.jpg
a.
$5.59
b.
$6.54
c.
$7.13
d.
$9.62
 

 12. 

What do these numbers have in common?
chapter_three_files/i0130000.jpg
a.
They are all divisible by 3.
c.
They all have 6 as a factor.
b.
The are all divisible by 5.
d.
They all have 8 as a factor.
 

 13. 

Which list contains all prime numbers?
a.
11, 20, 29
b.
2, 11, 30
c.
2, 11, 29
d.
2, 27, 29
 

 14. 

Find all the factors of 12 and state whether the number is prime or composite.
chapter_three_files/i0150000.jpg
a.
1, 4, 8, 12; composite
c.
1, 2, 3, 4, 6, 12; prime
b.
1, 2, 3, 4, 6, 12; composite
d.
1, 12; prime
 

 15. 

Ella is dividing a number by 88 using paper-and-pencil. What is the greatest possible remainder she should get?
a.
2
b.
44
c.
87
d.
88
 

 16. 

The operations are missing from the expression below. What operation signs should you write to create the smallest number?
12 chapter_three_files/i0170000.jpg 6 chapter_three_files/i0170001.jpg 10
a.
´ and ´
b.
+ and +
c.
+ and –
d.
´ and –
 

 17. 

Cindy had 33 baseball cards. She went shopping and bought 9 ten-card packs. Which expression correctly represents the total number of baseball cards Cindy had after she went shopping?
a.
33 + (9 ´ 10)
b.
33 + (9 + 10)
c.
33 ´ 9 + 10
d.
(33 + 9) ´ 10
 

 18. 

What are the coordinates of point B?
chapter_three_files/i0190000.jpg
a.
(6, 4)
b.
(8, 2)
c.
(4, 6)
d.
(7, 8)
 

 19. 

Which two ordered pairs should Drew plot to make a rectangle?
chapter_three_files/i0200000.jpg
a.
(4, 1) and (4, 5)
c.
(1, 4) and (4, 4)
b.
(1, 4) and (4, 5)
d.
(1, 4) and (5, 4)
 

 20. 

Barry earns $21 per week for walking dogs. Write an expression that represents how much money Barry earns after w weeks.
a.
w + 21
c.
21w
b.
21w + 21
d.
w ¸ 21
 

 21. 

Breakfast bar packages contain 8 bars in each box. Which of the following graphs best displays the information in the table?
BOXES OF BREAKFAST BARS
x
8x
1
8
2
16
3
24
4
32
5
40
a.
chapter_three_files/i0220000.jpg
c.
chapter_three_files/i0220001.jpg
b.
chapter_three_files/i0220002.jpg
d.
chapter_three_files/i0220003.jpg
 

 22. 

The following diagram represents a number divided into equal groups. Which phrase best describes the diagram?

chapter_three_files/i0230000.jpg
a.
3 objects divided into 4 equal groups
b.
12 objects divided into 3 equal groups
c.
4 objects divided into 3 equal groups
d.
12 objects divided into 4 equal groups
 

 23. 

Which of the following situations could be solved using the equation 21 ÷ 7 = n?
a.
There are 21 books to be given to 7 students. How many books does each student receive?
b.
There are 7 tables in the library. If each table has 21 books, how many books are there on all of the tables?
c.
Daniel is reading a book that has 21 chapters. He just finished reading chapter 7. How many chapters does he have left to read?
d.
The library has 21 sets of shelves. After adding 7 more sets of shelves, how many sets will there be in all?
 

 24. 

A hotel charges $420 for a one-week stay. What is the daily charge?
a.
$50
c.
$55
b.
$60
d.
$65
 

 25. 

Which phrase best describes the quotient of 521 ÷ 5?
a.
a little less than 10
c.
a little more than 10
b.
a little less than 100
d.
a little more than 100
 

 26. 

Which of the following would give the best estimate for 231 ÷ 7?
a.
140 ÷ 7
c.
280 ÷ 7
b.
210 ÷ 7
d.
350 ÷ 7
 

 27. 

Look at the following set of pictures. The first has 1 square, the second has 2 squares, the third has 4 squares, and the fourth has 8 squares. If this pattern continues, how many squares will be in the fifth picture?

chapter_three_files/i0280000.jpg
a.
16 squares
c.
12 squares
b.
10 squares
d.
20 squares
 

 28. 

Barbara decided to start running each day to train for a race. At the end of the first month she could run 2 miles without stopping to rest. At the end of the second month she could run 5 miles without stopping. At the end of the third month she could run 8 miles without stopping, and at the end of the fourth month she could run 11 miles without stopping. If this pattern continues, how far will she be able to run without stopping at the end of the fifth month?
a.
14 miles
c.
13 miles
b.
12 miles
d.
10 miles
 

 29. 

Look for a pattern in 185, 180, 175, 170,.... Which of the following shows the next three numbers in the pattern?
a.
160, 155, 150
c.
160, 150, 140
b.
165, 160, 155
d.
175, 180, 185
 

 30. 

If 6 people share $432 equally, how much money will each person get?
a.
$79
c.
$72
b.
$84
d.
$66
 

 31. 

The Ramirez family just drove 256 miles in 4 hours. If they drove the same speed the whole time, how many miles did they drive each hour?
a.
61 miles
c.
64 miles
b.
54 miles
d.
59 miles
 

 32. 

Juli baked 288 muffins in 3 hours. How many muffins did she bake each hour?
a.
96 muffins
c.
89 muffins
b.
92 muffins
d.
84 muffins
 

 33. 

What will be the remainder for the quotient of 329 and 6?
a.
2
c.
8
b.
5
d.
9
 

 34. 

A yellow warbler migrating from Albany, New York to Jacksonville, Florida has to fly 1,064 miles. How many miles does it fly each week if the journey takes 4 weeks?
a.
201 miles
c.
243 miles
b.
211 miles
d.
266 miles
 

 35. 

Bakery employees are putting 2,418 cookies into packages that hold 8 cookies each. To find out how many packages are needed, one employee divides 2,418 by 8 and gets the answer shown below. How can the result be checked?
2,418 ÷ 8 = 302 R2
a.
Multiply 2,418 by 2, and then add 8.
b.
Multiply 302 by 2, and then add 8.
c.
Multiply 302 by 8, and then add 2.
d.
Multiply 8 by 2, and then add 302.
 

 36. 

The shelves of the school library are going to be sanded and refinished over the summer, so all of the 8,435 books need to be packed in boxes. Seven parents have volunteered to do the packing. If they share the work equally, how many books will each parent need to pack?
a.
1,205 books
c.
1,025 books
b.
125 books
d.
1,250 books
 

 37. 

Four sisters spent $17.40 on a gift for their brother. If they split the cost equally, how much did each pay?
a.
$4.35
c.
$4.05
b.
$4.10
d.
$3.95
 

 38. 

Six friends met at a cafe for dinner, and the bill came to $74.58, including the tip. If they split the cost evenly, how much did each friend pay?
a.
$11.92
c.
$10.76
b.
$14.09
d.
$12.43
 

 39. 

Which three numbers have 3 as a factor?
a.
13, 15, 18
c.
12, 23, 30
b.
24, 33, 81
d.
6, 12, 43
 

 40. 

Which list contains only composite numbers?
a.
4, 15, 22
c.
7, 13, 29
b.
4, 13, 18
d.
7, 15, 18
 

 41. 

Which of the following numbers is prime?
a.
51
c.
27
b.
2
d.
44
 

 42. 

Which of the following is the prime factorization of 36?
a.
2 ´ 2 ´ 9
c.
6 ´ 6
b.
4 ´ 9
d.
2 ´ 2 ´ 3 ´ 3
 

 43. 

Which of the following shows the first step in evaluating 7 + 5 ´ 2 – 6 ÷ 3?
a.
7 + 5
c.
2 – 6
b.
5 ´ 2
d.
6 ÷ 3
 

 44. 

A baker just took 80 cookies out of the oven. A customer immediately bought 2 dozen. Which of the following expressions represents the number of cookies left?
a.
(80 – 2) ´ 12
c.
80 – (2 ´ 12)
b.
(80 – 12) ´ 2
d.
80 + (2 ´ 12)
 

 45. 

Use the order of operations to decide which of the following gives the correct value for the expression 18 – 4 ´ 2 + 1.
a.
11
c.
9
b.
29
d.
42
 

 46. 

Which of the following points has the coordinates (4, 6)?
chapter_three_files/i0470000.jpg
a.
point A
c.
point C
b.
point B
d.
point D
 

 47. 

Which of the following coordinates would plot a point half way between points N and P?
chapter_three_files/i0480000.jpg
a.
(2, 3)
c.
(4, 4)
b.
(3, 4)
d.
(4, 3)
 

 48. 

In the following coordinate grid, which would be the coordinates of a point that is 2 units to the left and 3 units up from point M?
chapter_three_files/i0490000.jpg
a.
(4, 6)
c.
(3, 5)
b.
(8, 6)
d.
(9, 5)
 

 49. 

Anthony is making clay beads to sell at the farmer’s market. He packages them in bags before going to the market. Which of the following tables properly displays the relationship between the number of bags and beads as shown in the graph?
chapter_three_files/i0500000.jpg
a.
chapter_three_files/i0500001.jpg
c.
chapter_three_files/i0500002.jpg
b.
chapter_three_files/i0500003.jpg
d.
chapter_three_files/i0500004.jpg
 

 50. 

The following table shows the rule Multiply by 3, then Subtract 1. Which ordered pair fits this rule?

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