Numbers and operations | Mathematics homework help

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Questions 1 to 20: Select the best answer to each question. Note that a question and its answers may be split across a page
break, so be sure that you have seen the entire question and all the answers before choosing an answer.
1. What is 39 squared?
A. 1,521
B. 1,482
C. 39
D. 78
2. Heidi, a jewelry salesperson, earns a commission of $55 every time she sells a diamond ring. How many
rings does she have to sell to earn $605? Choose the equation that correctly calculates the amount.
A. $55 + w = $605
B. $605 – $55 = w
C. $55 × w = $605
D. $55 – w = $605 – w
3. What is the prime factorization of 1,260?
A. 4 × 5 × 7 × 9
B. 2 × 2 × 3 × 3 × 5 × 7
C. 2 × 3 × 5 × 6 × 7
D. 2 × 3 × 5 × 7
4. Which of the following numbers is a multiple of 6?
A. 882
B. 333
C. 106
D. 424
5. Using the order of operations rule, solve the following: 12 ÷ 2 + 4 – 2 × 3 = ?
A. 4
B. 36
C. 0
D. 24
6. Will bought 3 college textbooks. One cost $32, one cost $45, and one cost $39. What is the average
price of his books? Choose the statement that correctly calculates the average.
A. 3 × $32 + $45 + $39
B. $32 + $45 + $39 ÷ 3
C. $32 ÷ 3 + $45 ÷ 3 + $39
D. ($32 + $45 + $39) ÷ 3
7. What is 23 squared?
A. 1,058
B. 529
C. 129
D. 46
8. What is the value of 12.5 × 107?
A. 12.5000000
B. 125,000,000
C. 1.2500000
D. 1,250,000
9. What is the cube of 8?
A. 2
B. 24
C. 512
D. 64
10. A school custodian waxed a gymnasium floor that measured 20 feet by 20 feet. How many square feet
did she have to wax?
A. 40 square feet
B. 400 square feet
C. 800 square feet
D. 80 square feet
11. Which of the following is a composite number?
A. 31
B. 63
C. 61
D. 13
12. According to the Wall Street Journal, 14,200,000 videotape copies of Walt Disney’s Fantasia have
been sold to date. Write that number in scientific notation.
A. 1.42 × 106
B. 142 × 1,000,000
C. 142 × 107
D. 1.42 × 107
13. Which of the following is a composite number?
A. 91
B. 29
C. 13
D. 139
14. What is the value of 7 to the fifth power?
A. 35
B. 2,401
C. 78,125
D. 16,807
15. There are 75 envelopes in a package. How many envelopes are there in 7 packages?
A. 552
B. 625
C. 10r 5
D. 525
16. What are the prime factors of 700?
A. 350 × 2
B. 2 × 2 × 5 × 5 × 7
C. 2 × 2 × 2 × 5 × 5 × 7
D. 2 × 2 × 25 × 7
17. The Main Street Cinema holds 1,356 people. Last Saturday night, they were sold out for two showings
of Super Alien 5. There was a special price of $5 for every seat for each showing. How much money did
the theater take in that night?
A. $9,848
B. $10,888
C. $6,780
D. $13,560
18. If one container holds 55 balls, how many balls will nine containers hold?
A. 495
B. 455
C. 395
D. 355
19. What are the prime factors of 625?
A. 5, 5, 5, 5
B. 5, 5, 25
End of exam

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