Hi! I'm Fred the Owl, your math coach. This is an Iowa Assessments / ITBS-style Math practice by FlyingMinds. We'll review the big ideas first, then practice place value, +/−, ×/÷, fractions, measurement, geometry, and word problems. Pick an answer to see how to solve it.
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Iowa Assessments · ITBS · Math · Grade 3
Math — Grade 3
FlyingMinds Iowa Test Prep — original, advanced practice built by FlyingMinds to help you become a critical thinker and pass the test
133 questions (117 practice + 16 challenge) + 4 explain-your-thinking prompts — more practice than Testing Mom's full 5-set math collection
Skills (IXL/CCSS-aligned)
Place value & rounding · comparing/ordering · estimation · 3-digit add/subtract · multiplication & division (facts, properties, word problems) · fractions (identify, equivalent, number line, compare) · measurement (time, mass, volume) · area & perimeter · data (bar & picture graphs) · geometry
How it's upgraded
Concepts reviewed first; clean SVG visuals for shapes, fractions, arrays, area, clocks, and graphs; Fred shows HOW to solve every problem
Standards
3.OA · 3.NBT · 3.NF · 3.MD · 3.G
⭐ 0 / 143 stars·✍️ 0 / 4 explanations
📖 Review🎯 Practice🏆 Challenge✍️ Explain
Before you practice: Math is about understanding, not just answers. Review these big ideas, then prove you know them.
📌 FlyingMinds rule: For word problems — Read, Plan, Solve, then CHECK.
🔢 Place value, rounding & comparing
Each digit has a place: ones, tens, hundreds, thousands. In 4,725 the 7 means 700. To round, look at the digit to the right — 5 or more rounds up. To compare, check the biggest place first (> greater, < less).
➕➖ Adding & subtracting to 1,000
Line up the digits. Add or subtract ones, then tens, then hundreds. Regroup (carry) when a column reaches 10; borrow when the top digit is too small. Check subtraction by adding back.
✖️➗ Multiplication & division
4 × 3 means 4 groups of 3. An array shows rows × columns. Order doesn't matter (8×5 = 5×8). Division splits into equal groups and is the opposite of multiplication: if 7 × 8 = 56, then 56 ÷ 8 = 7.
🍕 Fractions
The bottom number tells how many equal parts; the top tells how many you have. Same bottom? More parts is bigger. Same top? Fewer, larger parts is bigger. Equal fractions name the same amount: 1/2 = 2/4 = 3/6.
📏 Measurement, area & perimeter
Read clocks to the minute. Grams/kilograms measure mass; milliliters/liters measure liquid. Area = squares inside = length × width. Perimeter = distance all the way around (add every side).
📊 Graphs & 🔺 geometry
Bar graphs show amounts by height; picture graphs use a key (each symbol = some number). Polygons are named by sides: triangle (3), quadrilateral (4), pentagon (5), hexagon (6), octagon (8).
🔮 WARM-UP · NOT SCORED
🦉 Fred asks: What steps do you use to solve a word problem?
Starter: First I __________, then I __________, and I check by __________ .
🎯 Practice score:0 / 127
🟢 Part A — Place value & number sense
Each digit's place tells its value. Read carefully — ones, tens, hundreds, thousands.
3.NBTPLACE VALUE
1. In the number 4,725, what is the value of the digit 7?
3.NBTPLACE VALUE
2. In the number 3,914, which digit is in the hundreds place?
3.NBTPLACE VALUE
3. What is 600 + 40 + 8 in standard form?
3.NBTPLACE VALUE
4. Which is the expanded form of 273?
3.OAPLACE VALUE
5. Which number is even?
3.NBTPLACE VALUE
6. Which number has an odd digit in the tens place?
🔵 Part B — Comparing & ordering
> means greater than, < means less than. Compare the biggest place first.
3.NBTCOMPARE
7. Which number satisfies ______ > 47,182 ?
3.NBTCOMPARE
8. Which sign makes this true? 506 ___ 560
3.NBTCOMPARE
9. Which number is the greatest?
3.NBTCOMPARE
10. Put in order from least to greatest: 412, 421, 124. Which is least?
3.NBTCOMPARE
11. Which number is between 350 and 400?
🟡 Part C — Rounding & estimating
Round to the nearest ten or hundred. If the next digit is 5 or more, round up.
3.NBTROUNDING
12. Round 68 to the nearest ten.
3.NBTROUNDING
13. Round 342 to the nearest hundred.
3.NBTROUNDING
14. Round 145 to the nearest ten.
3.NBTROUNDING
15. Round 487 to the nearest hundred.
3.NBTROUNDING
16. Estimate 198 + 203 by rounding to the nearest hundred.
3.NBTROUNDING
17. Estimate 612 − 388 by rounding to the nearest hundred.
🟢 Part D — Addition to 1,000
Add the ones, then tens, then hundreds. Regroup (carry) when a column is 10 or more.
3.NBTADD
18. 327 + 268 = ?
3.NBTADD
19. 514 + 273 = ?
3.NBTADD
20. 248 + 176 = ?
3.NBTADD
21. 367 + 225 = ?
3.NBTADD
22. 519 + 283 = ?
3.NBTADD
23. 640 + 275 = ?
3.NBTADD
24. 134 + 267 = ?
3.NBTADD
25. 305 + 498 = ?
🔵 Part E — Subtraction to 1,000
Subtract the ones, then tens, then hundreds. Regroup (borrow) when the top digit is smaller.
3.NBTSUBTRACT
26. 632 − 285 = ?
3.NBTSUBTRACT
27. 405 − 168 = ?
3.NBTSUBTRACT
28. 700 − 250 = ?
3.NBTSUBTRACT
29. 512 − 345 = ?
3.NBTSUBTRACT
30. 836 − 247 = ?
3.NBTSUBTRACT
31. 900 − 376 = ?
3.NBTSUBTRACT
32. 624 − 158 = ?
3.NBTSUBTRACT
33. 531 − 276 = ?
🟣 Part F — Multiplication facts
Multiplication is repeated addition: 4 × 3 means 4 groups of 3.
3.OAMULTIPLY
34. 6 × 7 = ?
3.OAMULTIPLY
35. 8 × 4 = ?
3.OAMULTIPLY
36. 9 × 3 = ?
3.OAMULTIPLY
37. 5 × 8 = ?
3.OAMULTIPLY
38. 7 × 7 = ?
3.OAMULTIPLY
39. 0 × 9 = ?
3.OAMULTIPLY
40. 1 × 7 = ?
3.OAMULTIPLY
41. 10 × 6 = ?
3.OAMULTIPLY
42. 6 × 6 = ?
3.OAMULTIPLY
43. 14 × 13 = ?
🟡 Part G — Multiplication: meaning, arrays & properties
An array shows rows × columns. The order of factors does not change the product.
3.OAMEANING
44. Which addition matches 4 × 3?
3.OAARRAY
45. How many dots are in this array?
3.OACOMMUTATIVE
46. 8 × 5 = 5 × ___ . What number goes in the blank?
3.OADISTRIBUTIVE
47. 7 × 6 = (7 × 3) + (7 × ___). What goes in the blank?
3.NBTMULTIPLE OF 10
48. Multiply: 4 × 30 = ?
3.OAPATTERN
49. Even or odd? The product 5 × 4 is —
3.OAMISSING FACTOR
50. 4 × ___ = 28. What is the missing factor?
3.OATHREE NUMBERS
51. 2 × 2 × 3 = ?
🔵 Part H — Multiplication & division word problems
Read carefully. 'Each' and 'groups of' often mean multiply or divide.
3.OAWORD PROBLEM
52. There are 6 packs of markers with 4 markers in each pack. How many markers in all?
3.OAWORD PROBLEM
53. A teacher shares 18 cookies equally among 3 students. How many does each get?
3.OAWORD PROBLEM
54. Each table seats 5 children. How many children can sit at 7 tables?
3.OAWORD PROBLEM
55. There are 24 crayons put into boxes of 6. How many boxes are needed?
3.OAWORD PROBLEM
56. A book has 8 chapters, each 9 pages long. How many pages in all?
3.OAWORD PROBLEM
57. 36 students make teams of 4. How many teams are there?
3.OAWORD PROBLEM
58. A garden has 3 rows with 7 plants in each row. How many plants?
3.OAWORD PROBLEM
59. 45 stickers are shared equally by 5 friends. How many each?
🟣 Part I — Division facts
Division splits into equal groups. It is the opposite of multiplication.
3.OADIVIDE
60. 24 ÷ 6 = ?
3.OADIVIDE
61. 35 ÷ 5 = ?
3.OADIVIDE
62. 42 ÷ 7 = ?
3.OADIVIDE
63. 56 ÷ 8 = ?
3.OADIVIDE
64. 63 ÷ 9 = ?
3.OADIVIDE
65. 0 ÷ 5 = ?
3.OADIVIDE
66. 9 ÷ 1 = ?
3.OADIVIDE
67. 72 ÷ 8 = ?
3.OADIVISION w/ REMAINDER
68. 59 ÷ 6 = ?
3.OAFACT FAMILY
69. Which division fact matches 7 × 8 = 56 ?
🟢 Part J — Fractions
A fraction names equal parts of a whole. The bottom (denominator) is how many equal parts; the top (numerator) is how many you have.
3.NFIDENTIFY
70. What fraction of the bar is shaded?
3.NFIDENTIFY
71. What fraction of the bar is shaded?
3.NFNUMBER LINE
72. What fraction does the dot show?
3.NFNUMBER LINE
73. What fraction does the dot show?
3.NFDECIMAL→FRACTION
74. What fraction is equal to .6?
3.NFEQUIVALENT
75. 1/2 = ___/4 . What numerator makes it equal?
3.NFEQUIVALENT
76. Which fraction is equal to 2/6?
3.NFEQUIVALENT
77. Which fraction is equal to 1/2?
3.NFWHOLE
78. How many fourths make one whole?
3.NFWHOLE
79. Which fraction equals 1 whole?
3.NFFRACTION OF GROUP
80. 2 of the 8 apples are red. What fraction are red?
3.NFHALF OF
81. What is 1/2 of 12?
🔵 Part K — Comparing fractions
Same bottom number? More parts is bigger. Same top number? Fewer, larger parts is bigger.
3.NFCOMPARE FRACTIONS
82. Which is larger: 3/4 or 1/4 ?
3.NFCOMPARE FRACTIONS
83. Which is larger: 1/3 or 1/4 ?
3.NFCOMPARE FRACTIONS
84. Which is larger: 2/5 or 4/5 ?
3.NFCOMPARE FRACTIONS
85. Which is smaller: 1/2 or 1/6 ?
3.NFCOMPARE FRACTIONS
86. Which sign makes it true? 2/8 ___ 5/8
3.NFCOMPARE FRACTIONS
87. Which fraction is closest to 1 whole?
🟡 Part L — Measurement: time, mass & volume
Read clocks to the minute. Grams and kilograms measure mass; milliliters and liters measure liquid.
3.MDTIME
88. What time does this clock show?
3.MDTIME
89. What time does this clock show?
3.MDELAPSED TIME
90. Soccer practice starts at 4:00 and ends at 5:15. How long is it?
3.MDELAPSED TIME
91. A movie starts at 1:30 and lasts 2 hours. When does it end?
3.MDMASS
92. About how much does a paperclip weigh?
3.MDVOLUME
93. Which unit best measures the water in a full bathtub?
🟢 Part M — Area & perimeter
Area is the number of square units inside (length × width). Perimeter is the distance all the way around.
3.MDAREA
94. What is the area of this rectangle (count the squares)?
3.MDAREA
95. A rectangle is 7 units long and 2 units wide. What is its area?
3.MDPERIMETER
96. A rectangle has sides 5, 3, 5, and 3. What is its perimeter?
3.MDPERIMETER
97. What is the perimeter of a square with sides of 6 units?
3.MDAREA vs PERIMETER
98. Which measures the space INSIDE a shape?
3.MDPERIMETER
99. A square garden has a side of 9 meters. How much fence goes around it?
🔵 Part N — Reading graphs
Bar graphs and picture graphs show how many. Read the height or count the symbols.
3.MDBAR GRAPH
100. The graph shows class pets. Which pet is the MOST popular?
3.MDBAR GRAPH
101. Using the graph, how many MORE people chose Dogs than Birds?
3.MDPICTURE GRAPH
102. In a picture graph, each ⭐ stands for 2 books. If a student has 4 stars, how many books is that?
3.MDBAR GRAPH
103. Using the graph, how many pets are there in ALL?
🟡 Part O — Geometry: shapes & angles
Polygons are named by their number of sides. A right angle is a square corner; obtuse angles are wider.
3.GSHAPE
104. What shape is this?
3.GSHAPE
105. What shape is this?
3.GSHAPE
106. What shape is this?
3.GQUADRILATERAL
107. Which is a quadrilateral (a shape with exactly 4 sides)?
3.GPARTITION
108. A pizza is cut into 4 equal pieces. Each piece is what fraction of the pizza?
3.GANGLES
109. How many sides does this shape have?
🟣 Part P — Mixed review
A little of everything. Slow down and pick the right tool for each problem.
3.NBTMIXED
110. Which number is one hundred more than 462?
3.NBTMIXED
111. How many tens are in the number 80?
3.OAMIXED
112. Skip count by 5s: 5, 10, 15, 20, ___
3.OAMIXED
113. Which is an ODD number?
3.OAMIXED
114. 9 × 6 = ?
3.OAMIXED
115. 48 ÷ 8 = ?
3.NFMIXED
116. Which fraction is the largest?
3.NBTMIXED
117. 630 − 415 = ?
🧮 Part — Iowa format: Computation
Iowa style: Work out the exact answer. If your answer is not one of the first three choices, mark N — not given.
3.NBTCOMPUTATION
118. 347 + 285 = ?
3.NBTCOMPUTATION
119. 805 − 467 = ?
3.NBTCOMPUTATION
120. 6 × 8 = ?
3.NBTCOMPUTATION
121. 72 ÷ 9 = ?
3.NBTCOMPUTATION
122. 156 + 78 = ?
3.NBTCOMPUTATION
123. 400 − 175 = ?
3.NBTCOMPUTATION
124. 7 × 6 = ?
3.NBTCOMPUTATION
125. 63 ÷ 7 = ?
3.NBTCOMPUTATION
126. 238 + 156 = ?
3.NBTCOMPUTATION
127. 81 ÷ 9 = ?
🏆 Challenge score:0 / 22
🏆 Challenge round. Multi-step problems — the kind that make gifted mathematicians slow down and plan. Work it out step by step.
3.OACHALLENGE
128. A baker made 6 trays of 8 muffins. He sold 30 muffins. How many are left?
3.OACHALLENGE
129. 3 friends share 24 stickers equally. Then each friend gives away 2. How many does each have now?
3.OACHALLENGE
130. A rectangle is 8 units long and 2 units wide. What is its area?
3.OACHALLENGE
131. Pattern: 3, 6, 9, 12, ___ . What comes next?
3.OACHALLENGE
132. Pattern: 2, 5, 9, 14, 20, ___ . What comes next?
3.OACHALLENGE
133. A class has 4 rows of 6 desks. 5 desks are empty. How many desks are being used?
3.OACHALLENGE
134. Maya reads 15 pages each night for 5 nights. How many pages in all?
3.OACHALLENGE
135. A pizza is cut into 8 equal slices. You eat 3. What fraction is LEFT?
3.OACHALLENGE
136. Which is greater: 3/4 or 2/3 ?
3.OACHALLENGE
137. A movie starts at 1:30 and lasts 2 hours 15 minutes. When does it end?
3.OACHALLENGE
138. 7 packs of pencils have 5 pencils each. They are shared equally among 5 students. How many does each student get?
3.OACHALLENGE
139. 248 + 176 = ?
3.OACHALLENGE
140. A square garden has a side of 9 meters. What is its perimeter?
3.OACHALLENGE
141. There are 9 tables with 6 chairs each. How many chairs in all?
3.OACHALLENGE
142. Round 487 to the nearest hundred, then subtract 100. What do you get?
3.OACHALLENGE
143. 1/2 of a class of 24 students walk to school. How many walk?
3.MDCHALLENGE
144. A bar graph shows pets owned by a class: Dogs = 7, Cats = 4, Fish = 5, Birds = 2. How many more dogs than birds are there?
3.MDCHALLENGE
145. In a picture graph, each ⭐ stands for 3 books read. Maya's row shows 4 stars. How many books did Maya read?
3.MDCHALLENGE
146. A bag holds 10 red marbles and no other color. If you pull one marble without looking, getting a red marble is —
3.MDCHALLENGE
147. A spinner has 8 equal sections: 7 are blue and 1 is yellow. Landing on yellow is —
3.OACHALLENGE
148. Liam buys 3 packs of stickers with 8 stickers in each pack. He gives 5 stickers to his sister. How many does he have left?
3.MDCHALLENGE
149. A table lists tickets sold: Monday = 15, Tuesday = 20, Wednesday = 12. How many tickets were sold in all three days?
✍️ Explain your thinking. Top mathematicians can explain HOW they know. Fred checks that you wrote a clear, complete explanation.
✍️ EXPLAIN #1 · SCORED
🦉 Fred asks: A baker made 6 trays of 8 muffins and sold 30. Explain step by step how to find how many are left.
Sentence starter: First I __________ because __________. Then I __________ .
✍️ EXPLAIN #2 · SCORED
🦉 Fred asks: How do you know that 1/2 and 2/4 are the same amount? Explain using parts of a whole.
Sentence starter: 1/2 and 2/4 are equal because __________ .
✍️ EXPLAIN #3 · SCORED
🦉 Fred asks: What is the difference between area and perimeter? Use your own words.
Sentence starter: Area is __________, but perimeter is __________ .
✍️ EXPLAIN #4 · CHALLENGE · SCORED
🦉 Fred's challenge: You solved 630 − 415 = 215. Explain how you can CHECK that answer using addition.
Sentence starter: I can check by __________ because __________ .
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