Course Grade 6 Math

Due Date It is suggested that you complete and return the review by the first week of school.

New Jersey Student Learning Standards Addressed in this review assignment

5.G.A.- Graph points on the coordinate plane to solve real-world and mathematical problems. 5.G.B.- Classify two-dimensional figures into categories based on their properties 5.OA.A.- Write and interpret numerical expressions. 5.OA.B.-Analyze pattern and relationships. 5.NF.A.-Use equivalent fractions as a strategy to add and subtract fractions. 5.NF.B.- Apply and extend previous understandings of multiplication and division to multiply and divide fractions. 5.NBT.B- Perform operations with multi-digit whole numbers and with decimals to hundredths. 5.MD.A.- Convert like measurement units within a given measurement system 5.MD.B.- Represent and interpret data. 5.MD.C.- Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

Description of the assignment The content addressed in this review was covered during your previous math courses.

Purpose of Assignment This packet is meant to review previous grade level standards that will be needed to be successful in 6th grade math.

Expectations To complete the problems over the summer without the use of a calculator unless otherwise stated.

Where to locate the assignment West Deptford Middle School Website- Under the Curriculum Tab

Contact Information Laura Sandy Assistant Principal of Curriculum and Instruction lsandy@wdeptford.k12.nj.us

Helpful Resources www.khanacademy.com www.virtualnerd.com www.coolmath.com www.xtramath.com www.mobymath.com www.funbrain.com www.mathmaster.org

1. 5.NBT.B.7- Ken went to a county fair and spent $5 on admission, $6.50 on games, and

$7.21 on food. If he had $30 before he went to the fair, how much money does he have

left?

2. 5.MD.B.2- Jo kept track of how much TV she watched each day for two weeks How

many hours in all did she spend watching TV?

a. 11

2ℎ𝑜𝑢𝑟𝑠

b. 51

4ℎ𝑜𝑢𝑟𝑠

c. 121

2ℎ𝑜𝑢𝑟𝑠

d. 131

2ℎ𝑜𝑢𝑟𝑠

3. 5.MD.A.1- The Johnsons sold corn at a local farmer’s market. They sold 561

2 pounds of

corn to 15 customers. How many total ounces of corn did they sell?

4. 5.NF.A.2- The length of an alligator in a zoo is 145

8𝑓𝑒𝑒𝑡. The Everglades National Park

lists the longest alligator ever recorded in Florida at 175

12𝑓𝑒𝑒𝑡. Which is the difference

in their lengths?

a. 23

4𝑓𝑒𝑒𝑡

b. 219

24𝑓𝑒𝑒𝑡

c. 35

8𝑓𝑒𝑒𝑡

d. 35

6𝑓𝑒𝑒𝑡

5. 5.MD.B.2- The line plot shows the number of hours students spent doing their math

homework last week.

How many students spent 41

2 hours or more on their math homework?

6. 5.MDC.5.C- A cell phone manufacturer designed the new packaging shown below that

will hold a cell phone, accessories, and an owner’s manual. Which is the volume of the

new packaging?

a. 130 𝑖𝑛3

b. 120 𝑖𝑛3

c. 110 𝑖𝑛3

d. 90 𝑖𝑛3

7. 5.NBT.B.7- One quarter has a mass of 5.67 grams. What is the mass of 50 quarters in

grams?

8. 5.NFB.7.C- Jeremy has 3 pounds of ground beef to make hamburgers. How many 1

3-

pound hamburgers can he make?

9. 5.GA.2- The map below shows the locations of the houses of Maria, Reese, and Paul.

Which are the coordinates of Maria’s house at point M?

a. (1,2)

b. (2,1)

c. (2,2)

d. (1,3)

10. 5.OA.B.3- Erin earns $7.50 for each hour she works. Rita earns $9.00 for each hour she

works. The table shows the amounts that Erin and Rita earn for working 1 to 6 hours.

How will their total earnings compare for a 40 hour workweek?

a. Rita will earn $60 more than Erin.

b. Erin will earn $60 more than Rita.

c. Rita will earn $1,000 more than Erin.

d. Erin will earn $100 more than Rita.

11. 5.NBT.B.7- Jasmine bought a game system that cost $299 before tax. The sales tax was

0.07 times the price. What was the total cost of the game system including sales tax?

12. 5.MD.C.5b- What is the volume of the box shown below?

13. 5.G.B.3- Which statement is true?

a. Every rhombus has 4 equal angles.

b. Every trapezoid has 2 pairs of opposite parallel sides.

c. Every square has 4 equal sides and 4 right angles.

d. Every parallelogram has 4 equal sides.

14. 5.NF.B.7c- Fatima has ½ gallon of milk. She wants to pour all the milk into 6 glasses.

What fraction of a gallon should she pour into each glass?

a. 1

12𝑔𝑎𝑙𝑙𝑜𝑛

b. 1

8𝑔𝑎𝑙𝑙𝑜𝑛

c. 1

4𝑔𝑎𝑙𝑙𝑜𝑛

d. 1

2𝑔𝑎𝑙𝑙𝑜𝑛

15. 5.NF.A.2- Which is the perimeter of the triangle below?

a. 7

22𝑓𝑜𝑜𝑡

b. 13

24𝑓𝑜𝑜𝑡

c. 22

24𝑓𝑜𝑜𝑡

d. 28

24𝑓𝑜𝑜𝑡

16. 5.NBT.B.6- A flower shop ordered 1,176 flowers to make bouquets. Each bouquet will

have 12 flowers. How many bouquets can the flower shop make?

17. 5.OA.B.3- Samir can rent a moving truck from Company A for $135 plus $.50 per mile or

from Company B for $125 plus $.70 per mile. Which statement is true?

a. Renting from Company A will always be cheaper.

b. Renting from Company B will always be cheaper.

c. Renting from both companies will cost the same if Samir drives the truck 50 miles.

d. Renting from Company B will be cheaper if Samir drives the truck 100 miles.

The following is a multipart problem. Please read the entire problem.

5.NF.5.7- Peyton has 1

8 of a package beads left. She thinks she can make 3 bracelets

from the beads left in the package.

18. Part A

Which diagram shows how Peyton can divide the beads into equal portions?

19. Part B

What fraction of the entire beads does each bracelet require?

a. 1

8

b. 1

3

c. 1

24

d. 3

8

20. 5.OA.A.2- Alonzo, Enio, and George bought a watercolor pain box for $15. 35 and three

brushes for $2.25 each. They had a coupon for $2.00 off their purchase. They split the

remaining cost equally. Which expression could be used to find the amount each

person paid?

a. (15.35 ÷ 3) + (2.25 × 3) − 2

b. (15.35 ÷ 3) + 2.25 × (3 − 2)

c. [15.35 + (2.25 × 3) − 2] ÷ 3

d. (2.25 + 15.35 + 3) ÷ 3

21. 5.OA.A.2- Which expression represents the following calculation?

Add the product of 7 and 5 to the quotient of 288 and 18.

a. 288 ÷ (7 × 5) + 18

b. (7 × 18) + (288 × 5)

c. (288 − 18) ÷ (7 + 5)

d. (288 ÷ 18) + (7 × 5)

22. 5.OA.B.3- Edie and Kristen are both knitting scarves that will be the same length. Edie is

60 centimeters from finishing and knits 6 centimeters each day. Kristen is 75

centimeters from finishing and knits 8 centimeters each day. The table shows the

number of centimeters remaining for both girls after knitting for 4 days.

Part A

Which graph represents the data in the table?

Part B

How many centimeters will Kristen have left to knit when Edie has 12 centimeters left to

knit?

23. 5.G.B.3 Select all the names that could be used to describe the figure.

A. Parallelogram

B. Quadrilateral

C. Rhombus

D. Square

E. Trapezoid

24. 5.MD.C.5 Lillian is wrapping a gift box that has the size shown below. What is the

volume of the box?

25. 5.OA.A.2- Which expression represents a number that is four times greater as the

quotient of 25 and 5?

a. (25 × 5) × 4

b. 4 ÷ (25 × 5)

c. 4 × (25 ÷ 5)

d. (25 ÷ 5) ÷ 4

26. 5.NF.B.7 Jackson is making brownies. He uses the following ingredients.

Jackson has 1 cup of butter. If he wants to use all of the butter, how many batches of

brownies can he make?

Part A

Which equation can you use to solve the problem?

a. 1 ÷ 3 = 3

b. 1 ÷1

3= 3

c. 1 ×1

3=

1

3

d. 1 +1

3=

1

3

Part B

Jackson used all the butter to make the brownies. If each brownie is 1

9 of a batch, how

many brownies did he make?

27. 5.G.A.2 Nick volunteers at the library shelving books. The graph shows how many books Nick shelves one Saturday.

Part A

How many books does Nick shelve in 2 hours?

Part B

What does the point (3, 90) represent on the graph?

A. Nick volunteers 90 hours in 3 weeks.

B. Nick earns $90 in 3 weeks.

C. Nick shelves 90 books in 3 hours.

D. Nick shelves 90 books on 3 Saturdays.

28. 5.G.B.3 For each sentence insert a word that will make the statement true. Words

may be used once or more than once. Your choices are:

never sometimes always

Equilateral triangles are __________ acute angles.

Scalene triangles are __________ acute angles.

Right triangles are ___________ acute angles.

Obtuse triangles are __________ isosceles triangles.

29. 5.OA.B.3 The tables below show the number of cups of flour for two different cake

recipes.

Part A

Complete the rule for each cake by filling in the blanks.

Chocolate cake: Add ______ cups of flower for each cake.

Banana cake: Add ______ cups of flower for each layer.

30. Part B

Which graph best represents the data in the tables?

Part C

According to the graph, how many more cups of flour will it take to make 6 layers of

banana cake than chocolate cake?

Challenge Questions

6.RP.A1

1. The teachers at a middle school votes for one of two locations for the school party. There

were 30 votes for the skating rink and 13 votes for the bowling alley. What is the ratio of the

number of votes for skating to the number of votes for bowling?

a. 30

43

b. 13

43

c. 13

30

d. 30

13

6.RP.A.3b

2. Alondra is nearly 6 feet tall. Her normal stride is 24 inches long. She wants to walk 5 miles

each day for exercise. The table below shows how many strides Alondra takes as she builds up

to walking 5 miles. How many strides will Alondra take to walk 4 miles?

a. 7,920 c. 10,560

b. 9,240 d. 10,660

6.RP.A3a

3. Mr. Drew grows green pepper plants in planters. The graph shows the relationship between

the number of planters and the number of pepper plants. How many pepper plants are in 3

planters?

a. 18 c. 9

b. 12 d. 3

6.RP.A.3b

4. Julia can make a key chain in 1 minute 35 seconds. At this rate, which is closest to the

amount of time she will need to make 8 key chains?

a. 1 minute

b. 2 minutes

c. 8 minutes

d. 12 minutes

6.RP.A.1

5. A loading dock manager is unpacking a delivery truck that has 57 boxes of shoes and 26

boxes of socks. What is the ratio of boxes of socks to boxes of shoes?

a. 26 : 83 c. 57 : 83

b. 26 : 57 d. 57 : 26

6.RP.A.3b

6. Carlos is going on a boat tour. The boat will travel a total distance of 35 kilometers

during the 7-hour tour. If the boat travels at a constant speed during the tour, what

distance should the boat travel in 3 hours?

a. 5 km c. 15 km

b. 13 km d. 32 km

6.EE.B.7

7. Denise is packaging pencils for an art class. If she has 204 pencils and she puts 12

pencils into each box, how many boxes will Denise need?

a. 16

b. 17

c. 18

d. 19

6.NS.C.6c

8. Which statement shows 2, -4, -1, and 0 in order from least to greatest?

6.NS.B.3

9. Sanji has a square room with a perimeter of 42.5 feet. IF she wants to hang a curtain

along one full side of the room, how long does the curtain need to be?

a. 8.25 ft

b. 10.625 ft

c. 21.25 ft

d. 38.5 ft

6.NS.A1

10. Malachi’s garden is 23

5 meters long. He wants to plant tomato plants so tat every

plant has 1

5 of a meter of ground space to grow. How many plants can Malachi fit?

_____________________

6.NS.C5

11. The laundry room in Rashid’s house is in the basement, two floors below ground level.

If ground level is 0, which value represents the laundry room?

_______________________

6.RP.A.2

12. As Lucia fills her fish tank, she notices that it fills 8 cubic centimeters of water in 4

minutes. How many cubic centimeters of water does it fill in 1 minute?

_______________________