GOFAR 4th grade Unit 7

Georgia Online Formative Assessment Resource (GOFAR)
4th grade Unit 7
Name:____________________________
Date: ____________________________
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1. Alice starts and finishes her guitar lesson at the times shown.
Part A
How long is Alice’s guitar lesson? Show your work using a number line.
Part B
What fraction of the hour did Alice spend in the guitar lesson? Show your work or explain your answer.
Part C
Alice’s guitar teacher has to change the start time of the lesson to 3:30 p.m. If the length of the lesson
remains the same, at which time will the guitar lesson now finish? Show your work or explain your answer.
Be sure to complete ALL parts of the task.
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2. A box of pancake mix contains 40 ounces of mix. The amount of mix needed to make four 8-inchdiameter pancakes is 2 cups.
Part A
How many ounces of mix are equal to 2 cups? Show your work.
Part B
How many 8-inch pancakes can be made using 40 ounces of pancake mix? Show your work or explain your
answer.
Part C
More pancakes that have a 6-inch diameter can be made with 2 cups of pancake mix. What number of cups
and what number of pancakes would complete the table below? Explain your answer.
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Part D
Which would use more cups of pancake mix?
● 14 pancakes with a 8-inch diameter
● 21 pancakes with a 6-inch diameter
Show your work or explain your answer.
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3. Andrew has 10 quarters, 4 dimes, and 6 nickels in a jar.
Part A
If there are no other coins or bills in the jar, what is the amount of money in Andrew’s jar? Show your
work.
Part B
How many $1 bills can Andrew exchange for the coins he has in the jar? Explain your answer.
Part C
How much additional money does he need for a $5 bill? Explain your answer.
Part D
What is the least number of coins equal to the amount you got in Part C, using any combination of
quarters, dimes, or nickels? Show your work.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
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4. A rectangular space on a wall at school is used to post school announcements. The space is 3 feet in
length and has a perimeter of 12 feet.
Part A
What is the width, in feet, of the rectangular space? Show your work.
Part B
What is the area, in square feet, of the rectangular space? Show your work.
Part C
The rectangular area needs to be enlarged. The new rectangular area will be two times the area you found
in Part B. If the width remains the same, what is the length of the larger rectangular area? Show your
work.
Part D
Look at the following statement.
If the area of a rectangle is doubled, then the perimeter of the larger rectangle will be two times the
original perimeter.
Is this statement always true? Explain your answer by giving an example.
Be sure to complete ALL parts of the task.
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5. A group of friends bought some pizzas. Each pizza was cut into 8 equal slices. The table shows the
number of slices of pizza taken by all the friends.
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Part A
Everyone in the group took at least one slice of pizza. Based on the data in the table, how many people
were in the group? Explain your answer.
Part B
Create a line plot using the number line shown below and the data in the table.
Part C
If no pizza slices were leftover, how many pizzas did the group buy? Show your work or explain your
answer.
Part D
The cost of each pizza was $13. What was the cost of the pizzas before tax was added? Show your work.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
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6. Maurice drinks four 8-ounce glasses of milk every day. How many pints of milk does he drink each day?
A)2 pints
B)4 pints
C)16 pints
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D)32 pints
7. Ms. Fuller bought a roll of gold ribbon to make bows for gift packages.
There were 6 feet of ribbon on the roll. How many inches of ribbon were on the roll?
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A)18
B)36
C)60
D)72
8.
In the metric system of measurement 1,000 grams is equal to
A)1 kilogram.
B)10 kilograms.
C)1 milligram.
D)100 milligrams.
9.
Which set of units would BEST be used to measure the weight of a large dog?
A)pounds or tons
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B)grams or milligrams
C)pounds or kilograms
D)ounces or milligrams
10.
Julianne's cereal contains 8 grams of fiber. How many milligrams of fiber are in Julianne's cereal?
A)0.8 milligrams
B)0.008 milligrams
C)800 milligrams
D)8,000 milligrams
11.
Which is MOST LIKELY the weight of a dog?
A)15 kilograms
B)15 grams
C)150 kilograms
D)150 grams
12. The table below shows the total cost for different numbers of tickets to a special show at a water park.
Each ticket costs the same amount.
What is the total cost for 12 tickets to the show?
A)$48
B)$44
C)$36
D)$24
13. The picture below shows one of the squares Yvette sewed for a quilt.
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How many lines of symmetry does the quilt square have?
A)0
B)2
C)4
D)8
14. Which figure below has a single line of symmetry?
A)
B)
C)
D)
15. Which picture shows a line of symmetry?
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A)
B)
C)
16. Which of these represents all the lines of symmetry of the given figure?
A)
B)
C)
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D)
17. How many lines of symmetry does a regular hexagon have?
A)4
B)5
C)6
D)7
18. Which figure shows a line of symmetry?
A)
B)
C)
D)
19.
Lindsay needs to draw a multi-sided figure. Each side needs to be a different length. The figure needs to
have at least three different interior angle measures. One angle must be at least 70° more than all other
angles. Which of these shapes could Lindsay draw?
A)rhombus
B)trapezoid
C)acute triangle
D)right triangle
20.
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Jack ran on a circular track. On his last lap around the track, he stopped half way and walked through the
center of the track. He ended on the exact same place he started from. Which describes the distance Jack
ran on the last lap?
A)half a circle and a radius
B)the diameter and a radius
C)half a circle and the diameter
D)the radius and the center point
21.
What is the line segment EC called?
A)diameter
B)radius
C)center
D)ray
22.
Jane walked in a straight line for 10 feet. She turned clockwise 90 degrees and walked another 10 feet. If
Jane continues to walk in this pattern, which shape will her path form?
A)square
B)rectangle
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C)triangle
D)trapezoid
23.
Which of these figures contains the largest angle?
A)rhombus
B)rectangle
C)right triangle
D)equilateral triangle
24.
Which statement describes the rotation of this figure?
A)The heart rotated 50°.
B)The heart rotated 90°.
C)The heart rotated 180°.
D)The heart rotated 360°.
25.
Ben is going to add all the angles in a shape. Which of these shapes will have the greatest total?
A)triangle
B)square
C)trapezoid
D)pentagon
26.
William is going to add all the angles in a shape. Which of these shapes will have the smallest sum?
A)triangle
B)square
C)rectangle
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D)rhombus
27. Trina painted a rectangular piece of wood. The length of the piece of wood is 12 inches. If the area of
the piece of wood is 96 square inches, what is the width?
A)8 inches
B)9 inches
C)36 inches
D)48 inches
28. The distance around a park on a bicycle path is 3 kilometers. CeCe rides her bicycle around this path 7
times. What is the total distance she rides her bicycle, in meters?
A)1,000
B)2,100
C)10,000
D)21,000
29. The line plot below shows the lengths, in inches, of several flower petals.
What is the difference, in inches, between the lengths of the second longest petal and the shortest petal?
A)
B)
C)
D)
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30. Tamika calculated the number of hours she watched television, based on the number of minutes she had
watched. Which table shows the correct relationship of minutes and hours?
A)
B)
C)
D)
31. A company is planting new grass on a lawn. The lawn is in the shape of a rectangle with the dimensions shown.
Part A
The company needs to know how many square feet of grass it needs to plant to cover the lawn. What is the
area of the lawn? Show your work or explain your answer.
Part B
The owner also wants to know the perimeter of the lawn to install a fence. What is the perimeter of the
lawn? Show your work or explain your answer.
Part C
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The owner wants to place bricks against the longest side of the lawn as a walkway. The bricks are 2 feet
long and will be placed end-to-end. How many bricks can the owner fit against the longest side of the
lawn? Show your work or explain your answer.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
32. A fourth grade class is learning about angles. Henry points out that when he opens his book, the inside edge makes an
angle, as shown in the picture below.
Part A
What fraction of the circle does the angle created by the open book cover equal? Explain your answer.
Part B
What is the measure in degrees of the angle of the open book? Explain your answer.
Part C
Henry’s friend said if he closes the book, the angle will be 180 degrees. Is Henry’s friend correct? Why or
why not? Explain your answer.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
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33. The figure shown is a parallelogram with line segments drawn between each pair of parallel sides. The angles formed
where the line segments intersect are numbered 1 to 4.
Use the figure to answer the questions.
Part A
What is the sum of the measures of angles 1 and 2? Explain your answer.
Part B
The sum of the measures of angles 2, 3, and 4 is 305 degrees. What is the measure of angle 1 in degrees?
Explain your answer.
Part C
Using your answers from Part A and Part B, write an equation to determine the measure of angle 2 in
degrees. Use a to represent the measure of angle 2.
Part D
Solve the equation to find the measure of angle 2 in degrees.
Be sure to complete ALL parts of the task.
Write your answer and show your work on the paper provided.
Do NOT type your answer in the text box below.
34.
Which answer is the best estimate of the mass of a family
car?
A)25 kilograms
B)250 kilograms
C)2,500 kilograms
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D)25,000 kilograms
35.
Which of the following units of measure would best describe the mass of a large
dog?
A)liters
B)grams
C)kilograms
D)centigrams
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Answer Key :
1.
2.
3.
4.
5.
6. A)2 pints
7. D)72
8. A)1 kilogram.
9. C)pounds or kilograms
10. D)8,000 milligrams
11. A)15 kilograms
12. A)$48
13. C)4
14. C)
15. B)
16. A)
17. C)6
18. A)
19. B)trapezoid
20. C)half a circle and the diameter
21. B)radius
22. A)square
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23. A)rhombus
24. C)The heart rotated 180°.
25. D)pentagon
26. A)triangle
27. A)8 inches
28. D)21,000
29. D)
30. A)
31.
32.
33.
34. C)2,500 kilograms
35. C)kilograms
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