Name: ________________________ Class: ___________________ Date: __________ ID: A

1

3rd Grade Math Benchmark

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

1. My brother and I ate at McDonalds. He ate 20 fries. I ate 8 times more fries than he did. How many fries did I eat?

A. 12B. 28C. 100D. 160

2. Which of the following triangles has a perimeter of 24cm?

A.

B.

C.

D.

3. John ordered a pepperoni pizza. John ate 38

of the

pizza. John’s sneaky dog jumped on the table and

ate 28

of the pizza. How much pizza is left for

John’s brother to eat?

A.38

B.28

C.58

D.108

Name: ________________________ ID: A

2

4. The clocks below show the time Simon's mathematics class began and ended on Tuesday. How long did the class last?

Class Began Class Ended

A. 48 MinutesB. 1 hour, 12 minutesC. 1 hour, 48 minutesD. 13 hours, 12 minutes

5. For a field trip, Alice's class left the school at 7:15 a.m. The class returned to the school at 8:30 p.m. the same day. How long was the class away for the field trip?

A. 45 minutesB. 1 hour, 15 minutesC. 13 hours, 15 minutesD. 13 hours, 45 minutes

6. What is the area of the shaded figure on the grid below?

A. 20 unitsB. 18 unitsC. 21 unitsD. 19 units

7. Which of these would require finding the perimeter of something?

A. Buying enough fencing to go around your front yard

B. Buying enough carpet for the floor of your classroom

C. Buying enough paint to cover the door of your classroom

D. Buying a tablecloth big enough to cover a table

8. Using the line plot below, how many students have 4 candy bars?

A. 0B. 2C. 5D. 8

9. On Kelly's homework, the answer to the subtraction problem shown below was marked wrong.

1178– 159 1029

Which of the following is one way for her to discover that her answer is wrong?

A. 1029 – 159 = 870B. 1029 + 159 = 1188C. 1178 + 1029 = 2207D. 1178 + 159 = 1337

Name: ________________________ ID: A

3

10. Which of the following circles appears to have 16

shaded?

A.

B.

C.

D.

11. Point P is located on the number line shown below.

Which of the following fractions best represents the location of point P?

A.14

B.38

C.34

D.45

12. Which of these shows how you could multiply 8 and 7 using the distributive property?

A. (8 x 5) + 2 B. (5 + 3) + (6 + 1)C. 8 + (5 x 2)D. 8 x (5 + 2)

13. There are 32 students in Mrs. Smith’s class. She wants them to put them into pairs for a science project that they will be working on over the next 4 days. Assuming that everyone is present, how many pairs of students will be working on the science project in her classroom?

A. 16B. 8C. 28D. 32

14. Matt want to purchase some items from the school store. The prices shown include tax. About how much will money does Matt need to purchase the three most expensive items shown below?

A. $6.00B. $14.00C. $15.00D. $17.00

15. 5 90 =

A. 45B. 450C. 4,500D. 45,000

Name: ________________________ ID: A

4

16. To prepare for a regional competition, Keith practiced on his skateboard 9 hours each week for 8 weeks. How many hours did Keith practice in all?

A. 72B. 81C. 64D. 56

17. 5 = 3

A. 12B. 45C. 5D. 15

18. 347 + 602 + 1,985 =

A. 1,934B. 2,824C. 2,934D. 11,475

19. A bag of chocolate candy holds exactly 408 pieces. Eight friends plan to share the chocolate pieces equally. How many chocolate pieces should each friend receive?

A. 3,264B. 416C. 400D. 51

20. What is another way to show 30?

A. 6 5B. 7 x 4C. 5 x 8 D. 3 x 11

21. 9 8 ?

A. 56B. 81C. 72D. 64

22. Which number sentences are represented by this array?

A. 12 + 3 = 15; 12 x 3 = 36B. 36 3 = 12; 12 x 3 = 36C. 12 – 3 = 9; 12 x 3 = 36D. 3 + 12 + 3 = 18; 12 x 3 = 36

23. What is 37,458 rounded to the nearest hundred?

A. 37,000B. 37,400C. 37,500D. 38,000

24. 72 9 = A. 6B. 7C. 8D. 9

25. Which set of numbers can be used to make a multiplication-division fact family?

A. 3, 7, 12B. 4, 8, 32C. 3, 9, 22D. 4, 9, 27

26. Kenya and her has 54 friends are going to be at a dinner party. She wants to put them at tables with 5 seats at each table. How many tables will Kenya need? _____ _____ = t (tables needed)

A. t = 8B. t = 9C. t = 10D. t = 11

Name: ________________________ ID: A

5

27. What is the best estimate for the volume of a bathtub?

A. 100 gramsB. 100 litersC. 100 kilogramsD. 100 mL

28. Hunter has 2 action figures and Shawn has 3 action figures. Derrick has 8 times as many action figures of Hunter and Shawn combined. How many action figures does Derrick have?

A. 13 action figuresB. 24 action figuresC. 16 action figuresD. 40 action figures

29. Which the following is NOT a quadrilateral?

A.

B.

C.

D.

30. What is the area of the rectangle below?

Scale = 1 inch on each edge

A. 18 square inchesB. 20 square inchesC. 5 square inchesD. 9 square inches

31. Lilly has 57 suckers. She gives 23 of them to Anna and 14 of them to Rebecca. How many suckers did she have left?

A. 20B. 94C. 34D. 43

32. Teresa wants to plant four bushes on each corner of her house. Her house is the shape of a quadrilateral, so how many bushes does she need to buy at the nursery?

A. 4B. 16C. 12D. 36

Name: ________________________ ID: A

6

33. What is the equivalent fraction for the following common fraction?

34

=

A.41

B.12

C.68

D.38

34. Which of the following is NOT true?

A. 7 + 3 + 4 = 10 + 4B. 7 + 3 + 4 = (7 + 3) + 4C. 7 + 3 + 4 = 7 + (3 + 4)D. 7 + 3 + 4 = (7 + 3) + (7 + 4)

35. Which multiplication fact is related to this division fact?

63 7 9

A. 6 3 79B. 6 3 18C. 9 7 63D. 9 6 54

36. 87 3 ___

A. 19B. 27C. 28D. 29

37. 567

A. 9B. 8C. 7D. 6

38. Which of these shapes has 4 sides?

A. pentagonB. triangleC. octagonD. rhombus

39. Use the graph below to answer question 39 and 40.

About how many more books did Miguel and Jack read than Kya and Samuel?

A. 12B. 3C. 4D. 27

40. How many fewer books did Samuel read than Miguel? (Refer to the graph in problem 39 above for the data.)A. 1B. 22C. 5D. 8

Name: ________________________ ID: A

7

41. Round the number 648 to the nearest hundred. A. 650B. 700C. 600D. 640

42. 764 – 296

A. 468B. 532C. 588D. 568

43. What is the value for ?

7 = 56

A. 56B. 7C. 5D. 8

44. Which symbol makes the number sentence true?

13

18

A. B. C. +D.

45. What is true abotu the answer to this multiplication sentence?

4 x any number = a number that is _______

A. always evenB. always oddC. is sometimes evenD. is sometimes odd

46.         The clocks below show the time that Johnny left to go to the park and the time that he came home. 

What time did Johnny leave to go to the park?

A. 6:45B. 9:30C. 9:00D. 10:30

47. Four cherries each have the same mass as the one cherry shown on the scale below.  How much will 4 cherries weigh?

A. 12 gB. 15 gC. 4 gD. 7 g

48. How long is the pin?

A. 3 inB. 2 ¼ inC. 3 ¼ inD. 2 ¾ in

Name: ________________________ ID: A

8

49. What is the length of the pencil to the nearest ¼ inch?

A. ¾ inB. 3 ¼ inC. 4 inD. 3 ¾ in

50. How many more students have dogs and cats as pets than have fish and hamsters as pets?

A. 19B. 13C. 21D. 11

51. Will started studying at 12:23.  He finished at 12:58.  How long did Will study?  

 A. 5 minutesB. 15 minutesC. 25 minutesD. 35 minutes

52.

Find the value of the missing side.

A. ? = 1B. ? = 2C. ? = 3D. ? = 4

53. Find the value of the missing side.

(hint: “s”= side; all sides are equal length)

A. s = 5B. s = 6C. s = 7D. s = 8

Name: ________________________ ID: A

9

54. Which comparison of the paper strips is correct?

A. 1/2 π 2/4B. 1/2 > 2/4C. 1/2 < 2/4D. 1/2 = 2/4

55. Mr. Clyde’s science class is spending a week counting butterflies in the nearby meadow, to compare with previous year’s total butterfly counts.

Year Number of Butterflies

1 7

2 273 47

4 675 87

This year

?

How many butterflies can they expect to see this year?

A. 97 B. 77 C. 107D. 117

56. Find the rule:

In 1 5 3 7

Out 4 20 12 28

A. + 4B. - 4C. x 4D. ÷ 4

57.

4 x 3 x 10 = 120 is the same as:

A. 12 x 10 = 120B. 14 x 3 = 120C. 7 x 10 = 120D. 13 x 4 = 120

58.

Tonya wakes up at 6:45 a.m. It takes her 5 minutes to shower, 15 minutes to get dressed, and 15 minutes to eat breakfast. What time will she be ready for school?

A. 7:00 a.m.B. 7:10 a.m.C. 7:20 a.m.D. 7:30 a.m.

Name: ________________________ ID: A

10

59. Bob bought a cover that matches the a rea of his pool table. His pool table measures 4 feet by 8 feet. How many square feet is the cover?

A. 32 ft.2

B. 12 ft.2

C. 24 ft. 2

D. 8 ft. 2

60. Which fraction names the unshaded part of the figure below?

A.38

B.83

C.53

D.58

ID: A

1

3rd Grade Math BenchmarkAnswer Section

MULTIPLE CHOICE

1. ANS: D PTS: 1 STA: MCC3.NBT.3 Multiply one-digit whole numbers by multiples of 10 in the range 10-90 using strategies based on place value and properties of operations. KEY: multiply by multiples of 10

2. ANS: C PTS: 1 STA: MCC3.MD.8 Solve real world and mathematical problems involving perimeters of polygons. KEY: perimeter

3. ANS: A PTS: 1 STA: MCC3.G.2 Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. KEY: fraction of a whole

4. ANS: B PTS: 1 STA: MCC3.MD.1 Tell and write time to the nearest minute and measure time intervals in minutes. KEY: time to the minute, elasped time

5. ANS: C PTS: 1 STA: MCC3.MD.1 Tell and write time to the nearest minute and measure time intervals in minutes. KEY: Time to the minute, elasped time

6. ANS: D PTS: 1 STA: MCC3.MD.6 Measure areas by counting unit squares. KEY: area, unit squares

7. ANS: A PTS: 1 STA: MCC3.MD.8 Solve real world and mathematical problems involving perimeters of polygons. KEY: perimeter

8. ANS: A PTS: 1 STA: MCC3.MD.4 Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show data by making a line plot, where the horizontal scale is marked off in appropriate units--whole numbers, halves, or quarters. KEY: line plot

9. ANS: B PTS: 1 STA: MCC3.1.NBT.2 Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. KEY: subtraction

10. ANS: B PTS: 1 STA: MCC3.NF.1 Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b. KEY: fraction of a whole

11. ANS: C PTS: 1 STA: MCC3.NF.2 a Understand a fraction as a number on the number line; represent fractions on a number line diagram. KEY: fractions, number line

12. ANS: D PTS: 1 STA: MCC3.OA.5 Apply properties of operations as strategies to multiply and divide. KEY: distributive property

13. ANS: A PTS: 1 STA: MCC3.OA.2 Interpret whole number quotients of whole numbers.KEY: division, pairs

ID: A

2

14. ANS: C PTS: 1 STA: MCC3.NBT.1 Use place value understanding to round whole numbers to the nearest 10 or 100. KEY: rounding, addition

15. ANS: B PTS: 1 STA: MCC3.NBT.3 Multiply one-digit whole numbers by multiples of 10 in the range 10-90 using strategies based on place value and properties of operations. KEY: multiply

16. ANS: A PTS: 1 STA: MCC3.OA.7 Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers. KEY: multiplication

17. ANS: D PTS: 1 STA: MCC3.OA.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers. KEY: division

18. ANS: C PTS: 1 STA: MCC3.1.NBT.2 Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. KEY: addition

19. ANS: D PTS: 1 STA: MCC3.OA.2 Interpret whole number quotients of whole numbers.KEY: division

20. ANS: A PTS: 1 STA: MCC3.OA.1 Interpret products of whole numbers. 21. ANS: C PTS: 1

STA: MCC3.OA.7 Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers. KEY: multiplication facts

22. ANS: B PTS: 1 STA: MCC3.OA.3 Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities. KEY: arrays

23. ANS: C PTS: 1 STA: MCC3.NBT.1 Use place value understanding to round whole numbers to the nearest 10 or 100. KEY: rounding

24. ANS: C PTS: 1 STA: MCC3.OA.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers. KEY: division, subtraction

25. ANS: B PTS: 1 STA: MCC3.OA.7 Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers. KEY: multiplication, division

26. ANS: D PTS: 1 STA: MCC3.OA.8 Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for an unknown quantity. KEY: division

27. ANS: B PTS: 1 STA: MCC3.MD.2 Measure and estimate liquid volumes and masses of objects using standard units of grams, kilograms, and liters. KEY: estimate, volume, liters

28. ANS: D PTS: 1 STA: MCC3.OA.8 Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for an unknown quantity. KEY: addition, multiplication

ID: A

3

29. ANS: C PTS: 1 STA: MCC3.G.1 Understand that shapes in different categories may share attributes and that the shared attributes can define a larger category. KEY: quadrilateral

30. ANS: B PTS: 1 STA: MCC3.MD.7 a. Relate area to the operations of multiplication and addition. a. Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths. KEY: area

31. ANS: A PTS: 1 STA: MCC3.OA.8 Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for an unknown quantity. KEY: two step subtraction

32. ANS: B PTS: 1 STA: MCC3.OA.8 Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for an unknown quantity. KEY: multiplication

33. ANS: C PTS: 1 STA: MCC3.NF.3 b. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Recognize and generate simple equivalent fractions using a visual fraction model. KEY: fraction, equivalents

34. ANS: D PTS: 1 STA: MCC3.OA.5 Apply properties of operations as strategies to multiply and divide. KEY: properties of multiplication

35. ANS: C PTS: 1 STA: MCC3.OA.7 Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division or properties of operations. KEY: multiplication, division

36. ANS: D PTS: 1 STA: MCC3.OA.6 Understand division as an unknown-factor problem. Multiply and divide within 100. KEY: division

37. ANS: B PTS: 1 STA: MCC3.OA.6 Understand division as an unknown-factor problem. Multiply and divide within 100. KEY: division

38. ANS: D PTS: 1 STA: MCC3.G.1 Understand that shapes in different categories may share attributes and that the shared attributes can define a larger category. KEY: rhombus

39. ANS: A PTS: 1 STA: MCC3.MD.3 Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step "how many more" and "how many less" problems using information presented in scaled bar graphs. KEY: bar graph

40. ANS: D PTS: 1 STA: MCC3.MD.3 Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step "how many more" and "how many less" problems using information presented in scaled bar graphs. KEY: bar graph

41. ANS: C PTS: 1 STA: MCC3.NBT.1 Use place value understanding to round whole numbers to the nearest 10 or 100. KEY: rounding

42. ANS: A PTS: 1 STA: MCC3.1.NBT.2 Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. KEY: subtraction

ID: A

4

43. ANS: D PTS: 1 STA: MCC3.OA.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers. KEY: multiplication

44. ANS: B PTS: 1 STA: MCC3.NF.3 d. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size; Compare 2 fractions with the same numerator or the same denominator by reasoning about their size. KEY: comparing fractions-like numerators

45. ANS: A PTS: 1 STA: MCC3.OA.9 Identify arithmetic patterns and explain them using properties of operations.

46. ANS: B PTS: 1 STA: MCC3.MD.1 Tell and write time to the nearest minute and measure time intervals in minutes. KEY: time to the half hour

47. ANS: A PTS: 1 STA: MCC3.MD.2 Measure and estimate liquid volumes and masses of objects using standard units of grams, kilograms, and liters. Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units. KEY: grams, multiplication

48. ANS: B PTS: 1 STA: MCC3.MD.4 Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. KEY: measurement, 1/4 inch

49. ANS: D PTS: 1 STA: MCC3.MD.4 Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. KEY: measurement, 1/4 inch

50. ANS: D PTS: 1 STA: MCC3.MD.3 Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step "how many more" and "how many less" problems using information presented in scaled bar graphs. KEY: bar graph

51. ANS: D PTS: 1 STA: MCC3.MD.1 Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes. KEY: time intervals

52. ANS: A PTS: 1 STA: MCC3.MD.8 Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles withthe same perimeter and different areas or with the same area and different perimeters. KEY: perimeter, unknown side

53. ANS: C PTS: 1 STA: MCC3.MD.8 Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles withthe same perimeter and different areas or with the same area and different perimeters. KEY: unknown side length

54. ANS: D PTS: 1 STA: MCC3.NF.3 b. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Recognize and generate simple equivalent fractions using a visual fraction model. KEY: comparing fractions, fraction bars

55. ANS: C PTS: 1 STA: MCC3.OA.9 Identify arithmetic patterns and explain them using properties of operations. KEY: addition patterns

ID: A

5

56. ANS: C PTS: 1 STA: MCC3.OA.9 Identify arithmetic patterns and explain them using properties of operations. KEY: multiplication patterns

57. ANS: A PTS: 1 STA: MCC3.OA.5 Apply properties of operations as strategies to multiply and divide. KEY: multiplication properties

58. ANS: C PTS: 1 STA: MCC3.MD.1 Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes by representing the problem on a number line diagram. KEY: number line diagram

59. ANS: A PTS: 1 STA: MCC3.MC.7 b. Relate area tot he operations of multiplication and addition; multiply side lengths to find areas of rectangles with whole number side lengths in context of solving real world and mathematical problems. KEY: area

60. ANS: D PTS: 1 STA: MCC3.G.2 Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. KEY: fractions