4th Grade Math Winter Break Packet / Educational Support Center

 

4th Grade Math Winter Break Packet

DIRECTIONS: Please complete each part of the Winter Break Packet. Part A is Multiple Choice type questions and Part B are short answer questions. For Part A, please CIRCLE your answer choice. You must show ALL work necessary for EACH question.

Some questions will NOT require work, which is fine. For Part B, please BOX your final answer. MAKE SURE YOUR WORK IS LEGIBLE AND NEAT. Show ALL Work! Try your BEST and if you do not understand how to solve a problem, please EXPLAIN what you THINK you NEED to do to solve the problem. This packet will count towards your grade.

There are 25 multiple choice questions and 6 short response questions in total.

The completed packet is due on Thursday, January 3rd, 2012

To Parents: Please let your child work on these problems by themselves. We are trying to prepare them for the state exam in April. Thank you ☺

Directions: Read each question carefully. CIRCLE your answer choice. SHOW WORK.

Part A: Multiple Choice Questions

1. What are the next three numbers in this pattern?

     1,200; 2,200; 3,200; 4,200….

1. 4,300; 4,400; 4,500

2. 4,300; 5,300; 6,300

3. 5,200; 5,300; 6,400

4. 5,200; 6,200, 7,200

2. Which of the following is the expanded form of 5,498?

1. 5,000 + 490 + 8

2. 5,000 + 400 + 98

3. 5,000 + 40 + 90 + 8

4. 50,000 + 400 + 90 + 8

3. Which symbol makes this a true number sentence?

1,705 __________ 1,805

1. >

2. <

3. =

4. x

4. Which expression has the same product as (6 x 8) x 11?

1. (6 + 8) + 11

2. (6 x 8) + 11

3. 6 x (8 +11)

4. 6 x (8 x 11)

5. Multiply: 8 x 5 x 2

1. 26

2. 42

3. 64

4. 8

6. Which of the following numbers could you multiply by 9 to have an odd product?

1. 6

2. 8

3. 11

4. 4

7. If e is an even number and o is an odd number, which statement is true?

1. the product e x o  is even

2. the product e x o  is odd

3. the product e x o   can be even or odd

4. there is not enough information to make a decision about the product e x o  

8. 528 + 274 = _____

1. 792

2. 802

3. 892

4. 1,792

9.   9,163 – 6,892 = _____

1. 2,271

2. 2,851

3. 3,271

4. 3,731

10.  365 + 413 + 344= _______

1. 1,122

2. 1,200

3. 1,212

4. 1,221

11.   2,604 + 1,387 + 2,563 = ________

1. 6,298

2. 6,554

3. 6,443

4. 5,232

12.   Multiply 400 x 900

1. 3,600

2. 36,000

3. 360,000

4. 3,600,000

13.   Multiply 400 x 50

1. 200

2. 2,000

3. 20,000

4. 200,000

15) Which problem matches this open sentence?

68 + 79 = _______

1. There are 68 and 79 tulips in a vase. How many flowers are there in all?

2. There are 68 roses and 79 tulips in a vase. How many more tulips are there than roses?

3. There are 68 roses and 79 tulips in a vase. How many more roses are needed to have as many tulips?

4. How many times more tulips are there than roses?

14. Stacy has 24 baseball cards. She has three times as many baseball cards as her brother. How many baseball cards does her brother have?

1. 21

2. 27

3. 8

4. 72

15. Frank has 219 shells in his collection. To the nearest 100, about how many shells does Frank have in his collection?

1. 300

2. 220

3. 210

4. 200

16. Micky worked 16 hours on Saturday. He was paid $4 per hour. How much does Micky earn on Saturday?

1. $20.00

2. $40.00

3. $64.00

4. $12.00

17. A wooden board is 45 inches long before it is cut into short equal pieces. That is 5 times as long as each short piece. How long is each short piece?

1. 5 inches

2. 6 inches

3. 8 inches

4. 9 inches

 

18. Yesterday morning, a museum exhibit was open for 3 hours. There were 2,378 visitors each hour. Which is best estimate for how many visitors in all 3 hours?

1. 7,000

2. 7,200

3. 7,500

4. 8,000

19. Franklin typed for a total of 88 minutes. He can type 38 words in one minute. To find how many words he typed in all, which rounded numbers can you use to check the answer?

1. 80 x 30

2. 80 x 40

3. 90 x 30

4. 90 x 40

20. Marcy bought a magazine for $3.75 and a carton of juice for $2.25.She paid with a $10 bill. How much change should Marcy receive?

1. $16.00

2. $1.25

3. $5.00

4. $4.00

21. Elizabeth had $50.00. She bought a shirt for $12.50 and a pair of pants for $24.00. How much money does Elizabeth have left?

1. $13.50

2. $14.50

3. $26.00

4. $36.50

22) Which is true?

a) 3 x 78 = (3 x 70) x (3 x 8)

b) 3 x 78 = (3 x 70) + (3 x 8)

c) 3 x 78= (3 + 70) x (3 + 8)

d) 3 x 78= (3 + 70) + (3 + 8)

23. A blue shirt costs $11. A green shirt costs 5 times as much. How much does the green shirt cost?

1. $ 15

2. $16

3. $55

4. $50

24. Which is not a factor pair of 56?

1. 1 and 56

2. 2 and 28

3. 4 and 13

4. 7 and 8

25. Which is a multiple of 9?

1. 19

2. 28

3. 64

4. 72

Part B: Short Answer Questions

26. Ms. Henlet wrote these numbers on the board.

14     29    32    47     55    64

1. Which numbers are prime numbers? Explain your answer.

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2. Which numbers are not prime numbers? Prove your answer by making a list of all the factor pairs of each number.

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27) Last month, Ms. Berkley spent $378 on food, $925 on rent and $272 on utilities. 

a) What is the total amount Ms. Berkley spent on those three things last month? Show your work.

b) Find the estimated total amount Ms. Berkley spent on those three things. Compare the estimate to the exact amount. Is your answer reasonable? Explain your answer.

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28. The perimeter of a rectangle is 420 inches. If the length is 150 inches, find the measure of the width. DRAW a PICTURE and SHOW ALL WORK.

Find the area of the rectangle.

29. Jill scored 3,456 points her basketball game. Karen scored 5,892 points in the game. How many more points did Karen score than Jill? Show all work.

How many points did the girls score together?

30. Two years ago, Ms. Biramian bought a used car that showed 14,854 miles on the odometer. Last year, she drove 8,240 miles. This year, she drove 9,273 miles. How many miles does the odometer show now? Show ALL Work below.

31. A toy company made $27,358 from selling game consoles. It also made $3,725 from video games and $8,440 from board games.

1. How much more did the company make from board games than from video games? Show your work.

2. How much more did the company make from game consoles than from video and board games combined? Explain how you solved the problem.

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