G4 U3 Assessment
Name__________________________________ Date_______________
Grade 4 Unit 3 Assessment Division 1.
How is the 4 in the hundreds place different than the 4 in the thousands place? 64,425 A The four in the hundreds place is ten times smaller than the four in the thousands place. B The four in the thousands place is ten times smaller than the four in the hundreds place. C The four has the same value in both place values. D The four in the thousands place is ten times smaller than the four in the ten-thousands place.
2.
Anthony wrote this number: 524,890 Which number has a 2 with a value 10 times greater than the 2 in Anthony’s number? A
425,783
B
254,783
C
452,783
D
457,283
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 1
3.
4.
Karina and Kylie and all of their friends are going to see a concert. They invited 30 more girls to go to the concert. 7 adults are also going to the concert. The group will be leaving in cars that hold 6 people. How many cars will they need in order for everyone to have a ride? A
4 cars are needed
B
5 cars are needed
C
6 cars are needed
D
7 cars are needed
A coach brought 33 pieces of candy to evenly distribute to the top 5 runners on the cross country team. At the end of practice the assistant coach gave each of the top runners an additional 7 pieces of candy. If each runner got the same number of candies, how many pieces of candy did each cross country runner get? A
6 pieces of candy
B
8 pieces of candy
C
13 pieces of candy
D
14 pieces of candy
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 2
5.
Ethan competed in a free-throw shoot out. He had two minutes to make as many baskets as possible. He made 28 baskets before time ran out. He earned 2 points for each basket he made. At the prize counter, Ethan was able to buy one prize for every 5 points he earned. How many prizes was Ethan able to buy?
A
6.
12 prizes
B
11 prizes
C
6 prizes
D
5 prizes
Choose the number that has a 4 with a value 10 times less than the value of the 4 in 24,381
A
7.
18,431
B
43,218
C
12,345
D 34,278
Joey wants to buy a new tablet that costs $159. He already has $40 in his piggy bank. He plans to save the same amount each month for the next 4 months. How much will he need to save each month in order to have enough money to buy the tablet? A
$29
B
$30
C
$39
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 3
D $40
8.
Chris made 40 cookies. His sister gave him an additional 16 cookies for being nice to her. Chris is going to put all the cookies into bags of 8. How many bags will Chris need?
A
9.
2 bags
B
5 bags
C
7 bags
D 8 bags
C
5(815)
D 5(815) + 5
Solve: 4,072 ÷ 5 =
A
10.
5(814)
B
5(814) + 2
Solve. 2,351 ÷ 4 = A
4(590) + 3
B
7(587)
C
4(587) + 3
D
4(587) + 2
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 4
11.
Kylie’s family just adopted a cat and they need to buy cat food. The chart lists the bag sizes and the weight of each bag size. Compare the weight of each bag. Then, read the statements below.
Bubble the letter of each true statement.
12.
Cat Food bag size
weight
extra-small
2 lbs
small
5 lbs
medium
12 lbs
large
20 lbs
extra-large
34 lbs
jumbo
60 lbs
A
The large bag weighs 4 times more than the small bag.
B
The jumbo bag is 2 times as heavy as the large bag.
C
The large bag weighs 10 times as much as the extra-small bag.
D
The medium bag’s weight is 6 times greater than the weight of the extrasmall bag.
Bubble the letter of each true statement.
Carlos wrote the number 752,816.
A
The 2 in the number 824,593 is 10 times greater than in Carlos’ number.
B
The 5 in the number 524,398 is 10 times smaller than in Carlos’ number.
C
The 8 in the number 748,596 is 10 times greater than in Carlos’ number.
D
The 1 in the number 824,591 is 10 times smaller than in Carlos’ number.
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 5
13.
Complete the function table. Write the rule for this pattern. Input
a
32
36
Output
b
9
10
40
44
48
Rule:
14.
a
Kenneth solved the following problem using an area model: 964 ÷ 4 = 241. Use the number bank to complete the area model below.
200 964 - 800 b
+
c 164 - d 44
+
11 44 -44 0 a _________________
Number Bank
b _________________
10
30
160
120
c _________________
4
600
40
164
d _________________
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 6
15.
Solve using an area model, multiplication, or place value strategy.
3,288 ÷ 6 =
16.
Using the rule, (y ÷ 3) – 1 = z, complete the function table.
Input
y
Output
z
3
6
9
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 7
12
15
18
17.
Danny solved the following problem using the place value strategy: 1,468 ÷ 2 = 734. Use the number bank to complete the area model below. (1,000 ÷ a ) + (400 ÷ 2) + ( b ÷ 2) + (8 ÷ 2) c
d
+
+
30
+
734 a _________________
Number Bank 2
20 16
200 60
4
50 500
b _________________ c _________________ d _________________ e _________________
18.
Solve using the area model, multiplication, or place value strategy.
2,376 ÷ 8 =
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 8
19.
Solve using the area model, multiplication or place value strategy.
6,396 ÷ 3
20.
In Dillon’s yard, there is an orange tree and an avocado tree. The avocado tree is 3 times as tall as the orange tree. Put a √ in the box next to each pair of heights that could describe the trees’ sizes. avocado tree: 23 feet
avocado tree: 9 feet
avocado tree: 35 feet
orange tree: 20 feet
orange tree: 3 feet
orange tree: 32 feet
avocado tree: 8 feet orange tree: 24 feet
avocado tree: 15 feet orange tree: 5 feet
avocado tree: 12 feet orange tree: 4 feet
avocado tree: 18 feet orange tree: 6 feet
avocado tree: 10 feet orange tree: 30 feet
avocado tree: 8 feet orange tree: 4 feet
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 9
21.
Joe and his family picked 2,730 quarts of strawberries and need to distribute them in equal amounts to 5 local super markets. How many quarts of strawberries will each super market receive? a. Find the solution using expanded notation. Show your work.
Answer: _____________________ b. Describe a method you could use to check that your solution is correct. Is there a mathematical operation that is important in this process?
c. Using the method you described above, prove that your answer is correct.
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 10
22.
Patty wrote the number 5, 752. Her friend Matilda also wrote a four digit number with only one seven in it. The 7 in Matilda’s number is worth 10 times less than the 7 in Patty’s number. a. In the boxes below write two different numbers that Matilda could have written.
b. Explain how you know that the 7 in Matilda’s numbers are worth ten times less than in Patty’s number.
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 11
23.
On the first day of her road trip, Amelia drove 356 miles. This is four times as many miles as she drove on the last day of her road trip. a. How many miles did she drive on the last day? Show your work.
Answer: ________________________ b. What information given helped you develop a strategy to solve this problem?
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 12
Grade 4 Unit 3 Assessment Division 1.
How is the 4 in the hundreds place different than the 4 in the thousands place? 64,425 A The four in the hundreds place is ten times smaller than the four in the thousands place. B The four in the thousands place is ten times smaller than the four in the hundreds place. C The four has the same value in both place values. D The four in the thousands place is ten times smaller than the four in the ten-thousands place.
2.
Anthony wrote this number: 524,890 Which number has a 2 with a value 10 times greater than the 2 in Anthony’s number? A
425,783
B
254,783
C
452,783
D
457,283
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 1
3.
4.
Karina and Kylie and all of their friends are going to see a concert. They invited 30 more girls to go to the concert. 7 adults are also going to the concert. The group will be leaving in cars that hold 6 people. How many cars will they need in order for everyone to have a ride? A
4 cars are needed
B
5 cars are needed
C
6 cars are needed
D
7 cars are needed
A coach brought 33 pieces of candy to evenly distribute to the top 5 runners on the cross country team. At the end of practice the assistant coach gave each of the top runners an additional 7 pieces of candy. If each runner got the same number of candies, how many pieces of candy did each cross country runner get? A
6 pieces of candy
B
8 pieces of candy
C
13 pieces of candy
D
14 pieces of candy
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 2
5.
Ethan competed in a free-throw shoot out. He had two minutes to make as many baskets as possible. He made 28 baskets before time ran out. He earned 2 points for each basket he made. At the prize counter, Ethan was able to buy one prize for every 5 points he earned. How many prizes was Ethan able to buy?
A
6.
12 prizes
B
11 prizes
C
6 prizes
D
5 prizes
Choose the number that has a 4 with a value 10 times less than the value of the 4 in 24,381
A
7.
18,431
B
43,218
C
12,345
D 34,278
Joey wants to buy a new tablet that costs $159. He already has $40 in his piggy bank. He plans to save the same amount each month for the next 4 months. How much will he need to save each month in order to have enough money to buy the tablet? A
$29
B
$30
C
$39
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 3
D $40
8.
Chris made 40 cookies. His sister gave him an additional 16 cookies for being nice to her. Chris is going to put all the cookies into bags of 8. How many bags will Chris need?
A
9.
2 bags
B
5 bags
C
7 bags
D 8 bags
C
5(815)
D 5(815) + 5
Solve: 4,072 ÷ 5 =
A
10.
5(814)
B
5(814) + 2
Solve. 2,351 ÷ 4 = A
4(590) + 3
B
7(587)
C
4(587) + 3
D
4(587) + 2
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 4
11.
Kylie’s family just adopted a cat and they need to buy cat food. The chart lists the bag sizes and the weight of each bag size. Compare the weight of each bag. Then, read the statements below.
Bubble the letter of each true statement.
12.
Cat Food bag size
weight
extra-small
2 lbs
small
5 lbs
medium
12 lbs
large
20 lbs
extra-large
34 lbs
jumbo
60 lbs
A
The large bag weighs 4 times more than the small bag.
B
The jumbo bag is 2 times as heavy as the large bag.
C
The large bag weighs 10 times as much as the extra-small bag.
D
The medium bag’s weight is 6 times greater than the weight of the extrasmall bag.
Bubble the letter of each true statement.
Carlos wrote the number 752,816.
A
The 2 in the number 824,593 is 10 times greater than in Carlos’ number.
B
The 5 in the number 524,398 is 10 times smaller than in Carlos’ number.
C
The 8 in the number 748,596 is 10 times greater than in Carlos’ number.
D
The 1 in the number 824,591 is 10 times smaller than in Carlos’ number.
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 5
13.
Complete the function table. Write the rule for this pattern. Input
a
32
36
Output
b
9
10
40
44
48
Rule:
14.
a
Kenneth solved the following problem using an area model: 964 ÷ 4 = 241. Use the number bank to complete the area model below.
200 964 - 800 b
+
c 164 - d 44
+
11 44 -44 0 a _________________
Number Bank
b _________________
10
30
160
120
c _________________
4
600
40
164
d _________________
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 6
15.
Solve using an area model, multiplication, or place value strategy.
3,288 ÷ 6 =
16.
Using the rule, (y ÷ 3) – 1 = z, complete the function table.
Input
y
Output
z
3
6
9
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 7
12
15
18
17.
Danny solved the following problem using the place value strategy: 1,468 ÷ 2 = 734. Use the number bank to complete the area model below. (1,000 ÷ a ) + (400 ÷ 2) + ( b ÷ 2) + (8 ÷ 2) c
d
+
+
30
+
734 a _________________
Number Bank 2
20 16
200 60
4
50 500
b _________________ c _________________ d _________________ e _________________
18.
Solve using the area model, multiplication, or place value strategy.
2,376 ÷ 8 =
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 8
19.
Solve using the area model, multiplication or place value strategy.
6,396 ÷ 3
20.
In Dillon’s yard, there is an orange tree and an avocado tree. The avocado tree is 3 times as tall as the orange tree. Put a √ in the box next to each pair of heights that could describe the trees’ sizes. avocado tree: 23 feet
avocado tree: 9 feet
avocado tree: 35 feet
orange tree: 20 feet
orange tree: 3 feet
orange tree: 32 feet
avocado tree: 8 feet orange tree: 24 feet
avocado tree: 15 feet orange tree: 5 feet
avocado tree: 12 feet orange tree: 4 feet
avocado tree: 18 feet orange tree: 6 feet
avocado tree: 10 feet orange tree: 30 feet
avocado tree: 8 feet orange tree: 4 feet
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 9
21.
Joe and his family picked 2,730 quarts of strawberries and need to distribute them in equal amounts to 5 local super markets. How many quarts of strawberries will each super market receive? a. Find the solution using expanded notation. Show your work.
Answer: _____________________ b. Describe a method you could use to check that your solution is correct. Is there a mathematical operation that is important in this process?
c. Using the method you described above, prove that your answer is correct.
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 10
22.
Patty wrote the number 5, 752. Her friend Matilda also wrote a four digit number with only one seven in it. The 7 in Matilda’s number is worth 10 times less than the 7 in Patty’s number. a. In the boxes below write two different numbers that Matilda could have written.
b. Explain how you know that the 7 in Matilda’s numbers are worth ten times less than in Patty’s number.
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 11
23.
On the first day of her road trip, Amelia drove 356 miles. This is four times as many miles as she drove on the last day of her road trip. a. How many miles did she drive on the last day? Show your work.
Answer: ________________________ b. What information given helped you develop a strategy to solve this problem?
Copyright © Swun Math Grade 4 Unit 3 Assessment, Page 12
