Grade 4
Chapter 1 Additional Assessment Questions
1. The football stadium at Louisiana State University (LSU) has a seating capacity of
92,542. According to the 2010 census, the population of San Jose, CA was
approximately ten times the amount of people that LSU’s stadium can seat. What
was the population of San Jose in 2010?
2. Compare the values of each 7 in the number 771,548. Use a picture, numbers, or
words to explain.
Grade 4
Chapter 2 Additional Assessment Questions
1. A new grocery store is opening next week. The store ordered small posters and
large posters to promote their opening. 12 times as many small posters were
ordered as large posters. If there were 48 large posters, how many more small
posters were ordered than large posters?
2. A movie theater has two rooms. Room A has 9 rows of seats with 18 seats in each
row. Room B has three times as many seats as Room A. How many seats are there
in both rooms?
3. Use any place value strategy to multiply.
a. 3 × 68
b. 4 × 371
c. 7 × 1,305
d. 5 x 6,034
4. The high school art teacher has 9 cases of crayons with 52 boxes in each case. The
elementary school art teacher has 6 cases of crayons with 104 boxes in each case.
How many total boxes of crayons do both teachers have? Is your answer
reasonable? Explain.
Grade 4
Chapter 6 Additional Assessment Questions
1. Using the fractional units shown, identify the fraction of the rectangle that is shaded.
Continue this pattern by drawing the next area model in the sequence and
identifying the fraction shaded.
2. Use multiplication to explain why the two fractions in the model are equivalent.
Grade 4
3. Cross out the fraction that is not equivalent to the other three. Show how you know.
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4. Fill in the circle with <, =, or > to make a true number sentence. Justify each
response by drawing a model (such as an area model or a number line), creating
common denominators or numerators, or explaining a comparison to a benchmark
fraction.
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Grade 4
Chapter 7 Additional Assessment Questions
1
1. Let each small square represent 4.
a. Using the same unit, draw and shade the following fractions. Represent each as
a sum of unit fractions.
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b. Record the decompositions of Parts (i) and (iii) using only 2 addends
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Grade 4
Chapter 11 Additional Assessment
1. The town of Seaford has a large rectangular park with a biking path around its
perimeter and two straight-line biking paths that cut across it as shown in the
diagram below.
In the space below, use a protractor to draw an angle with the same measure as ∠DGK.
Grade 4
Chapter 12 Additional Assessment
1. Express the length of a 9 kilometer trip in meters.
2. Jacob says that he can find the number of inches in 15 yards by tripling the number
of inches in 5 yards. Does his strategy work? Why or why not?
3. A blue rope in Garret’s camping backpack is 6 yards long. The blue rope is 3 times
as long as a red rope. A yellow rope is 2 feet 7 inches shorter than the red rope.
What is the difference in length between the blue rope and the yellow rope?
Grade 4
Chapter 13 Additional Assessment
1. Last year, Mr. Petersen’s rectangular garden had a width of 5 meters and an area of
20 square meters. This year, he wants to make the garden three times as long and
two times as wide.
a. Solve for the length of last year’s garden using the area formula. Then, draw and
label the measurements of this year’s garden.
b. How much area for planting will Mr. Petersen have in the new garden?
c. Last year, Mr. Petersen had a fence all the way around his garden. He can reuse
all of the fence he had around the garden last year, but he needs to buy more
fencing to go around this year’s garden. How many more meters of fencing is
needed for this year’s garden than last year’s?
d. Last year, Mr. Petersen was able to plant 4 rows of carrots with 13 plants in each
row. This year, he plans to plant twice as many rows with twice as many carrot
plants in each. How many carrot plants will he plant this year? Write a
multiplication equation to solve. Assess the reasonableness of your answer.
Grade 4
Answers to Additional Questions
Chapter 1
1.
92,542 x 10 = 925,420 The population of San Jose in 2010 was 925,420 people.
2.
700,000 and 70,000. The ten thousands place is ten times less than the hundred
thousands place
Chapter 2
1. 48 x 12 = 576
576-48 = 528 There are 528 more small posters than large posters.
2. Room A: 9 x 18 = 162
Room B: 162 x 3 = 486
Room A & B combined = 648
3. a. 3 x 60 + 3 x 8 = 180 + 24 = 204
b. 4 x 300 + 4 x 70 + 4 x 1 = 1,200 + 280 + 4 = 1,484
c. 7 x 1,000 + 7 x 300 + 7 x 5 = 7,000 + 2,100 + 35 = 9,135
d. 5 x 6,000 + 5 x 30 + 5 x 4 = 30,000 + 150 + 20 = 30,170
4. High School Art teacher’s Crayons 9 x 52 =468
This is reasonable because 9 x 50 = 450.
Elementary School Art teacher’s Crayons 6 x 104 = 624
This is reasonable because 6 x 100 = 600.
Chapter 6
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Grade 4
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4. a. >, b. =, c. >, d. <, e. >, f. <, g. >, and h. <.
Chapter 7
Student’s drawings should match the number sentences below:
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Chapter 11
Student’s drawing should be an angle measuring 138 degrees.
Chapter 12
1. The Length of a 9 kilometer trip in meters is 9,000 meters.
2. No, this strategy will not work. If Jacob triples the number of inches in 5 yards he
will have 540 inches. There are 36 inches in one yard, so 5 yards x 36 inches = 180
inches. He should triple the number of inches in one foot for each yard which is 36
inches. Then, he should multiply 36 inches by 5 in order to come up with the correct
answer which is 180 inches.
3. The blue rope is 6 yards long. The red rope is 3 x shorter, so it is 2 yards long. The
yellow rope is 2 feet 7 inches less than the red rope, so the yellow rope’s length
would be 72 inches – 31 inches = 41 inches long. This is 3 feet 5 inches. The
Grade 4
difference between the (blue rope) 5 yards 36 inches and the (yellow rope) 1 yard 5
inches is a difference of 4 yards 31 inches or 4 yards 2 feet and 7 inches.
Chapter 13
a. The area is 20 square meters and the width is 5 meters, so the length is 4 meters.
The new dimensions of Mr. Petersen’s garden will be 5 m x 2 = 10 m wide and 4 m x
3 = 12 m long. The drawing and labeling should match the dimensions.
b. The new area for planting that Mr. Petersen will have in the new garden is 120
square meters. 12 m x 10 m = 120 square meters.
c. The perimeter of the first garden was 18 meters. The perimeter of the new garden is
44 meters. Mr. Petersen will need 44m – 18m = 26 meters of fencing in order to
fence the new garden.
d. The original garden was 4 rows x 13 carrot plants or 52 plants. The new garden will
have 8 rows of 26 carrot plants or 208 plants. He will plant 208 carrot plants this
year. My answer is reasonable because he doubled the rows and doubled the
number of plants in each row so if I multiply 52 x 4 = 208.