- 1. Sam bought 8 fruits for every 11 vegetables she bought.
How could you write the ratio of the number of fruits to the number of vegetables? Select all that apply.
A) 11: 8
B) 8 : 11
C) 8 / 11
D) 8 to 11
E) 11/ 8
A) can be added or subtracted
B) results when a whole is divided into parts
C) shows two quantities in a relationship and can represent a part-to-part relationship
D) can be graphed on a number line
- 3. A family went to the circus and saw 11 elephants and 3 tigers.
Which of the following ratios show a part to a whole ratio? Select all that apply.
A) 11:14
B) 3:11
C) 14:3
D) 11:3
- 4. Sarah is doing a new recipe. She will need chocolates at a ratio of 3 white chocolates to 9 dark chocolates. She needs 48 total chocolates to complete her recipe. How many white chocolates does she need?
A) 9
B) 48
C) 12
D) 24
- 5. The ratio of balloons to boys at the playground is 5:15. Select the statements that are true.
A) In a playground with 30 boys, there are 10 balloons
B) In a playground with 20 boys there are 4 balloons.
C) The ratio of balloons to boys is 15:45
D) Another way to show the ratio of balloons to boys is 5/15
E) Another way to show the ratio of balloons to boys is 15/5
- 6. A dolls company makes 12 dolls in 4 hours. At that rate, how many dolls can the company make in 16 hours?
A) 16
B) 12
C) 24
D) 48
- 7. The ratio of puppies to kittens at a pet store is usually 8 : 5. Which of the following are equivalent ratios?
A) 16 : 10 , 32 : 40 and 56 : 16
B) 24 : 15 , 72: 20 and 72 : 45
C) 15 : 25 , 16 : 24 and 32 : 18
D) 16 : 10 , 32 : 20 and 64 : 40
- 8. Natasha saved $20 in 2 weeks. If she continues to save money at the same rate, how much will she save in 12 weeks? Use equivalent ratios to solve this problem.
A) $145
B) $100
C) $120
D) $12
- 9. The ratio of bees to butterflies is 3:13. If there are 39 butterflies, how many bees are there?
A) 9:39
B) 12:52
C) 9:52
D) 6:15
- 10. Tag is buying new batteries for his remote control. He is looking for a new brand of batteries that last 120 hours and an old brand that last 40 hours. He wants to write a ratio to compare the hours that the old brand of batteries last to the new brand. Select all that apply.
A) 12:4
B) 40 to 120
C) 140 to 12
D) 40/120
- 11. The total amount of cows and goats in a farm is of 32. Use a tape diagram to determine how many cows are in the farm if the ratio in the tape diagram shows 5 cows to 3 goats.
Note: There are 12 goats in the farm.
A) 33
B) 14
C) 7
D) 20
- 12. Consider the division expression 600 ÷ 30. Which of the following will result in the same quotient as 600 ÷ 30? Select all that apply
A) Divide 6 hundreds by 4 ones
B) Divide 30 ones by 60 hundreds
C) Divide 6 hundreds by 30 ones.
D) Divide 60 tens by 3 tens.
E) Divide 600 ones by 30 ones.
- 13. A commercial cookie maker is sorting 837 cookies into 26 boxes. When the process is complete, each box will have the same number of cookies. Use the standard algorithm for division to find how many cookies will be left over.
A) 32
B) 8
C) 5
D) 23
- 14. My sister divided 426 by 15 and got 28 with a remainder of 6. How could she check her work?
A) Multiply 28 by 15, and then add 6. Check if the sum is 426.
B) Add 15 and 28, and then multiply the sum by 10. Check if the product equals 450
C) Add 15 and 28, and then multiply the sum by 15. Check if the product equals 426.
D) Multiply 28 by 15 and 28 by 5, and then add the products. Check if the sum is 426.
- 15. Santiago and his friends wants to buy a cake to celebrate John´s birthday. The cake costs $87.26. Each of his friends agreed to pay the same amount, there are 9 friends including him. Santiago is in charge of collecting the money for the cake. Approximately how much should he collect from each of his friends?
A) $5
B) $10
C) $20
D) $8
- 16. Which is the best estimate to use for this division problem? 4,321 ÷ 78
A) 4,000 ÷ 70
B) 4,500 ÷ 80
C) 5,000 ÷ 80
D) 4,700 ÷ 70
- 17. A worker made 246 breakers on one day. He will put the breakers into boxes. Each box holds 50 breakers. The worker divided 246 breakers by 50 to see how many boxes he will need. His answer is 4 with a remainder of 46. What does the remainder 46 show?
A) how many groups ob breakers he can make.
B) how many breakers would be available for a fifth box.
C) how many breakers are in each box.
D) how many breakers are needed to make a group of 8.
- 18. Alexis runs a summer day camp for students. She provides each camper with a t-shirt and cap. Alexis has $12,279 to purchase t-shirts and caps. One t-shirt and cap costs $22.
Which is the best estimate of the number of t-shirts and caps Alexis can purchase?
A) 700 t-shirts and caps
B) 60 t-shirts and caps
C) 600 t-shirts and caps
D) 70 t-shirts and caps
- 20. Mayfield Middle School is taking a trip to the zoo. Each bus holds 40 students and there will be a total of 250 students going on the trip. How many buses do they need to rent in order to take the students to the zoo?
A) 1000
B) 61
C) 6.25
D) 7
- 21. The Math Club is taking a trip to the university to attend Engineering Day. There are 40 members and 2 sponsors going. If transportation will be in cars and each car will hold 5 people, how many cars will be needed to take the group?
A) 11 cars
B) 10cars
C) 9 cars
D) 8 cars
- 22. William is making chili and needs beans to complete the recipe. He has $5.25 to spend. If 2 cans of beans cost $1.58, how many cans of beans can he buy?
A) 5 cans
B) 3 cans
C) 6 cans
D) 4 cans
- 23. Which of the following is the greatest common factor (GCF) of 56 and 70?
A) 7
B) 35
C) 4
D) 14
- 24. What is the greatest common factor of 36 and 27?
A) 9
B) 6
C) 3
D) 4
- 25. A baker wants to make up as many identical muffin trays as possible using all the muffins he baked this morning. He baked 24 chocolate chip muffins and 64 blueberry muffins.
If each tray holds the same number of each kind of muffin, and all the muffins are used, what is the maximum number of trays tat can be made?
A) 5
B) 13
C) 8
D) 15
- 26. Common factor of 8 and 24, but not GCF
A) 1, 2, 4
B) 1, 2, 4, 8
C) 2, 4
D) 2, 4, 6
- 27. Not a common factor of 8 and 24
A) 4, 6, 8
B) 3, 6, 12
C) 3, 6, 8
D) 1, 3, 12
- 28. Find the GCF of 28 and 48
A) 16
B) 8
C) 2
D) 4
- 29. Which numerical expression represents the phrase: 30 more than 36 decreased by 10.
A) 36 - (10+30)
B) (36-10) + 30
C) 30+36-10
D) 36 + 10 - 30
- 30. Evaluate the following expression, given c=5, d=2, and r = 4.
c (r÷d) + 9 (d)
A) 32
B) 55
C) 18
D) 28
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