5th Grade KEY
Grading Period 1 – Study Guide & Review
Monday
1. There are 7 days in a week and 24 hours in a day. How many hours are there in 4 weeks? Use the table below to help you solve the problem.
Weeks / Days / Hours1 / 7
(1 x 7) / 168
(7 x 24)
2 / 14 / 336
3 / 21 / 504
4 / 28 / 672
2. Simplify the expression below. Use Order of Operations
Parenthesis
Exponents
Multiplication/Division (from left to right)
Addition/Subtraction (from left to right)
100 + [34 – (4+2) x 3]
2
100 + [34 – 6 x 3]
2
100 + [34 – 18]
2
100 + 16
2
116
2
Solution - 58
3. A group of 16 people collected 5,208 pounds of tomatoes. If each person received the same amount of tomatoes from the total amount collected, how many pounds of tomatoes did each person receive?
5,208/16 = 868 pounds
4. Kristine is saving to buy an iPad Mini that costs x amount of money. She has $299 in her savings account. Kristine plans to work as a babysitter to earn the rest of the money. She charges $5.00 per hour to babysit. The equation shows how she determined that babysitting for 20 hours would allow her to earn the amount of money she needs to buy her iPad Mini.
X = 299 + (5*20)
What is x, the amount of money the iPad costs?
X = 299 + 100
X = 399
5. What is the relationship between the 7 and the parentheses in the expression?
4[48 – 7(2+8)]
The 7 will be multiplied by the sum of 2 + 8.
6. Perla and Ruby sold chocolate bars for a charity fundraiser. Perla sold 298 boxes of chocolates, where each box contained 28 chocolate bars. Ruby sold 213 boxes of chocolates, where each box contained 17 chocolate bars. What is the best estimate of the number of chocolate bars Perla and Ruby sold altogether?
Perla / Ruby298 ~ 300
28 ~ 30
300 x 30 = 9,000 / 213 ~ 200
17 ~ 20
200 x 20 = 4,000
Total 9000 + 4000 = 13,000
7. Which of the following represents the expression after a possible first step in the simplifying process?
(28-4*5) + 2
21-10
a. (24*5) + 2
21-10
b. (28-20) + 2
21-10
c. (28-4*5) + 2
11
d. (8) + 2
21-10
8. Which candy bar has the most calories per serving?
a. 120 calories per 3 servings 120/3 = 40
b. 100 calories per 5 servings 100/5 = 20
c. 70 calories per 2 servings 70/2 = 35
d. 150 calories per 5 servings 150/5 = 30
Tuesday
9. For an Independence Day parade in a town, the mayor gave small flags to each of the 1,236 people who attended the parade. If the flags came in 1 dozen boxes with no flags left over, how many flags were in each box?
1 dozen = 12
1236/12 = 103
10. How is a prime number different from a composite number?
Possible answer
A prime number is ONLY divisible by one and itself.
A composite number has MORE than 2 factors.
11. Are there any numbers that are neither prime nor composite? Explain.
Possible answer.
0 and 1 are not prime or compositie.
0 only has 1 factor.
1 only has 1 factor.
12. After spending $45 form her bank account, Faith had a total of $236 left. Which number sentence could be used to find, a, the amount of money Faith had in her account before she spent $45?
e. 236 – 45 = a
f. 236 + a = 45
g. 45 – a = 236
h. a – 45 = 236
13. Chloe used a list to write factor pairs for a composite number between 12 and 36. Which could be Chloe’s list?
1x23 *b. 1x18 c. 1x36 d. 2x6
prime 2x9 2x18 1x12
3x6 3x12 3x4
4x9
6x6
14. A total of 64 soccer matches were played at the 2010 World Cup. The total number of spectators is listed in the table.
Total Number of Spectators at the 2010 World Cup
Matches / Number SpectatorsMatches 1-16 / 618,431
Matches 17-32 / 712,023
Matches 33-48 / 816,917
Matches 49-64 / 1,023,485
For the 2006 World Cup, 3,359,439 spectators attended the soccer matches. How many fewer spectators attended the soccer matches at the 2010 World Cup than in 2006? Show all the work of your solution process to justify your solution.
2010
618,431712,023
816,917
1,023,485
Total 3,170,856
Year 2006 – Year 2010
3,359,439 - 3,170,856 = 188,583
15. One of the fastest clappers in the world can clap 720 times in 60 seconds. What is the unit rate for this clapper?
720/60 = 12
12 claps per second
16. A furlong is a distance measurement equal to 660 feet. If there are 3 feet in each yard, which equation would NOT be used to find y, the number of yards in 4 furlongs?
i. 4 (660/3) = y
j. 660/3 x 4 = y
k. y = 4(660/3)
l. y = 660/4 x 3
Wednesday
17. Simplify the expression.
[ 11(12 - 8) * 6 – 8 ]
8
[ 11(4) * 6 – 8 ]
8
[ 44 * 6 – 8 ]
8
[ 264 – 8 ]
8
[ 256]
8
Solution 32
18. The table below shows the number of items purchased at a grocery store by 4 different families.
Family / Number of ItemsHerron / 23
Alexander / 19
Smith / 39
Williams / 37
Which number of items purchased is a composite number?
39: 1, 3, 13, 39
19. The prime numbers between 50 and 59 are
50: 1, 2, 5, 10, 25, 50 composite
51: 1, 3, 17, 50 composite
53 Prime
57: 1, 3, 19, 50 Composite
59 Prime
a. 53 and 59
b. 51 and 59
c. 53 and 57
d. 50 and 51
20. A babysitter made $100 for babysitting 8 hours. What rate does the babysitter charge per hour?
100/8 = $12.50
21. Alisa sold 254 cookies for $2 each and 85 hamburgers for $4 each to raise money for a charity foundation. Determine the amount of money Alisa was able to donate to the foundation, m, by solving for the amount of money Alisa earned selling the cookies and hamburgers less the $450 she spent on supplies to make the cookies and hamburgers.
How much money did Alisa earn for the foundation?
m = (2 x 254) + (4 x 85) – 450
m = 508 + (4 x 85) – 450
m = 508 + 340 – 450
m = 545 – 450
m = 95
22. Use the chart below to write 8 prime numbers between 1 and 20. Explain how you know the numbers are prime. 2, 3, 5, 7, 11, 13, 17, 19
1 / 2 / 3 / 4 / 5 / 6 / 7 / 8 / 9 / 1011 / 12 / 13 / 14 / 15 / 16 / 17 / 18 / 19 / 20
21 / 22 / 23 / 24 / 25 / 26 / 27 / 28 / 29 / 30
31 / 32 / 33 / 34 / 35 / 36 / 37 / 38 / 39 / 40
23. Using words and numbers, describe the 1st three steps to simplify the expression.
8 × 3 + [12 – (4 + 15 ÷ 3)] + 9
1 – Parenthesis (divide) 8 × 3 + [12 – (4 + 5)] + 9
2 – Parenthesis (add) 8 × 3 + [12 – 9] + 9
3 – Brackets (subtract) 8 × 3 + 3 + 9
24. Acme Lumber Company purchased 10,145 pounds of pinewood and 19,903 pounds of cedar wood to sell in their new store. After six months, Acme Lumber Company had sold 6,989 pounds of wood. About how many pounds of wood does Acme Lumber Company have left to sell?
Total wood
10,145 + 19,903 = 30,048
Estimate
10,000 + 20,000 = 30,000
Sold 6,989 ~ 7,000
Estimate
30,000 – 7,000 = 23,000 left to sell
Thursday
25. A home improvement store charges $4.00 per square foot for new carpet and an additional $2.00 per square foot for installation. Neira wants to put a total of 900 square feet of new carpet in several rooms of her home.
Part A
Write an equation for n, the amount of money the home improvement store will charge Neira to put new carpet in her home.
n = 900 × (4 + 2)
Part B
Solve the equation to determine n, the amount of money Neira will pay for the new carpet in her home.
n = 900 × (4 + 2)
n = 900 × 6
n = 5,400
26. One of the largest hotels downtown has 23 floors and accommodates 150 people on each floor. If the hotel is completely full 3 nights this week, how many people will the hotel accommodate during those 3 days?
23 x 150 x 3 = 20,350
27. Joshua simplified a numerical expression. The expression had two pairs of parentheses, and his result was 5. Then he wrote the following expression that he thought he simplified, but forgot to record one pair of the parentheses.
9(20 – 5 x 3)
3
Part A
What is the value of the above expression? Show all work of your solution process.
9(20 – 5 x 3)
3
9(20 – 15)
3
9(5)
3
45
3
Solution 15
Part B
Write the same expression Joshua recorded, but now add another pair of parentheses so that it can be simplified to 135. Show all work of your solution process.
9[(20 – 5) x 3]
3
9(15 x 3)
3
9(45)
3
405
3
Solution 135
28. Four cement trucks pick up 6,384 gallons of cement from a quarry. Each truck carries the same amount of cement. One of the cement truck drivers is delivering his cement to a construction site and must fill 12 holes equally using all of the cement. How many gallons of cement will be used to fill one hole?
6,384/4
12
1,596
12
Solution 133
29. The owner of a restaurant took out a $2,500,000 loan to build a second location in a nearby city. The owner used the loan money and spent $100,500 to hire a general contractor to oversee the project, $670,864 on a plot of land for the restaurant, and $710,482 for equipment and furniture. How much of the loan money does the owner have remaining?
2,500,000 – (100,500 + 670,864 + 710,482)
2,500,000 – 1,481,846
1,018,154
30. The admission prices to an art museum are shown in the table.
Ticket Type / PriceAdult / $15.00
Student (Under 18) / $10.00
Child (under 7) / $7.50
Child (Under 2) / Free
A group of two hundred people, ages 5 to 45, went to the museum. Which of the following is a possible number of adults, students, and children that went to the museum as a group if they paid a total of $2,450 for their admission?
a. 100 adults, 50 students, 50 children
b. 100 adults, 80 students, 20 children (100 x 15) + (80 x 10) + (20 x 7.50) = 2,450
c. 100 adults, 70 students, 30 children
d. 100 adults, 20 students, 80 children
31. Simplify the expression
10 = 2(n + 3)
n = 5
32. How many minutes are there in 3 days? Complete the table.
1 day = 24 hours
1 hour = 60 minutes
Days / Hours / Minutes1 / 24
(1 x 24) / 1,440
(24 x 60)
2 / 48 / 1,152
3 / 72 / 1,728