Hi! I'm Fred the Owl, your math coach. This is an Iowa / ITBS-style Grade 4 Math practice by FlyingMinds — bigger numbers, multi-digit ×/÷, fractions, decimals, measurement, and geometry. Pick an answer to see how to solve it.
Font:Speed:
Iowa Assessments · ITBS · Math · Grade 4
Math — Grade 4
FlyingMinds Iowa Test Prep — original, advanced practice built by FlyingMinds to help you become a critical thinker and pass the test
practice + challenge + 4 explain prompts — more practice than Testing Mom's Grade 4 math sets
Topics
Place value to millions · multi-digit +/−/×/÷ · factors, multiples & primes · fractions (equivalent, add/subtract, compare) · decimals · measurement & conversions · area, perimeter & angles · geometry & data
How it's upgraded
Reviewed first; SVG visuals for angles & fractions; every computation Python-verified; Fred shows the method
Standards
4.OA · 4.NBT · 4.NF · 4.MD · 4.G
⭐ 0 / 98 stars·✍️ 0 / 4 explanations
📖 Learn🎯 Practice🏆 Challenge✍️ Explain
Before you practice: Grade 4 math builds on place value and gets into bigger numbers, fractions, and decimals.
📌 FlyingMinds rule: Estimate first, solve, then check that your answer is reasonable.
🔢 Place value & rounding
Read big numbers in periods (thousands, millions). Each place is 10× the one to its right. Round by looking at the digit to the right.
✖️➗ Multi-digit × and ÷
Use partial products or the standard algorithm to multiply. For division, see how many times the divisor fits, then find the remainder.
🧮 Factors, multiples & primes
A factor divides evenly; a multiple is from skip-counting. A prime number has exactly two factors (1 and itself); composite numbers have more.
🍕 Fractions
Equivalent fractions name the same amount (3/4 = 6/8). Add/subtract fractions with the same denominator by working with the tops. Same numerator? Bigger denominator = smaller fraction.
🔟 Decimals
Tenths and hundredths are like money. 0.7 = 7/10; 0.62 = 62/100. Line up the decimal points to add or compare.
📏 Measurement
Bigger unit → smaller unit: multiply (1 m = 100 cm, 1 kg = 1000 g, 1 L = 1000 mL, 1 hr = 60 min).
📐 Geometry
Area = length × width; perimeter = distance around. Angles: right (90°), acute (<90°), obtuse (>90°). Lines can be parallel or perpendicular.
🔮 WARM-UP · NOT SCORED
🦉 Fred asks: How do you check whether a big multiplication answer is reasonable?
Starter: I can check by __________ .
🎯 Practice score:0 / 82
🟢 Part A — Place value to the millions
Each place is 10 times the one to its right. Read large numbers in periods of three.
4.NBTPLACE VALUE
1. In 3,482,150, what is the value of the digit 4?
4.NBTPLACE VALUE
2. Which digit is in the ten-thousands place of 1,672,905?
4.NBTPLACE VALUE
3. What is 500,000 + 30,000 + 200 + 9 in standard form?
4.NBTPLACE VALUE
4. Round 47,615 to the nearest thousand.
4.NBTPLACE VALUE
5. Round 284,500 to the nearest hundred thousand.
4.NBTPLACE VALUE
6. Which sign makes it true? 62,450 ___ 62,540
4.NBTPLACE VALUE
7. Ten times as much as 6,000 is —
4.NBTPLACE VALUE
8. How is 706,040 written in words?
🔵 Part B — Multi-digit addition & subtraction
Line up the places and regroup carefully across many digits.
4.NBTADD
9. 3,482 + 2,719 = ?
4.NBTADD
10. 12,640 + 8,375 = ?
4.NBTADD
11. 45,128 + 36,994 = ?
4.NBTADD
12. 6,073 + 2,988 = ?
4.NBTSUBTRACT
13. 8,004 − 3,567 = ?
4.NBTSUBTRACT
14. 50,200 − 18,475 = ?
4.NBTSUBTRACT
15. 70,000 − 42,613 = ?
4.NBTSUBTRACT
16. 9,135 − 4,678 = ?
🟡 Part C — Multiplication
Multiply by one- and two-digit numbers using place value.
4.NBTMULTIPLY
17. 34 × 6 = ?
4.NBTMULTIPLY
18. 128 × 4 = ?
4.NBTMULTIPLY
19. 263 × 7 = ?
4.NBTMULTIPLY
20. 45 × 23 = ?
4.NBTMULTIPLY
21. 56 × 18 = ?
4.NBTMULTIPLY
22. 312 × 5 = ?
4.NBTMULTIPLY
23. 27 × 30 = ?
4.NBTMULTIPLY
24. 19 × 19 = ?
🟣 Part D — Division
Divide multi-digit numbers; some have remainders.
4.NBTDIVIDE
25. 96 ÷ 4 = ?
4.NBTDIVIDE
26. 144 ÷ 6 = ?
4.NBTDIVIDE
27. 252 ÷ 7 = ?
4.NBTDIVIDE
28. 85 ÷ 5 = ?
4.NBTDIVIDE
29. 738 ÷ 9 = ?
4.NBTDIVIDE
30. 125 ÷ 4 = ?
4.NBTDIVIDE
31. 364 ÷ 7 = ?
4.NBTDIVIDE
32. 100 ÷ 8 = ?
⚪ Part E — Factors, multiples & primes
A factor divides evenly; a multiple is what you get by skip-counting. A prime has exactly two factors.
4.OAFACTORS
33. Which number is a FACTOR of 24?
4.OAFACTORS
34. Which number is a MULTIPLE of 7?
4.OAFACTORS
35. Which number is PRIME (only factors 1 and itself)?
4.OAFACTORS
36. Which number is COMPOSITE (more than two factors)?
4.OAFACTORS
37. List the factors of 18. Which is NOT a factor?
4.OAFACTORS
38. What are the first three multiples of 5 (besides 0)?
🟢 Part F — Fractions
Build, compare, add, and subtract fractions; use equivalent fractions.
4.NFFRACTIONS
39. Which fraction is equal to 3/4?
4.NFFRACTIONS
40. 2/5 + 1/5 = ?
4.NFFRACTIONS
41. 7/8 − 3/8 = ?
4.NFFRACTIONS
42. Which is GREATER: 2/3 or 2/5 ?
4.NFFRACTIONS
43. Write 1 1/4 as an improper fraction.
4.NFFRACTIONS
44. 3/10 written as a decimal is —
4.NFFRACTIONS
45. Which fraction equals 1/2?
4.NFFRACTIONS
46. 2/3 × 6 = ?
4.NFFRACTIONS
47. Which is the SMALLEST?
4.NFFRACTIONS
48. What fraction of the bar is shaded?
🔵 Part G — Decimals
Tenths and hundredths name parts of a whole, like money.
4.NFDECIMALS
49. Which decimal equals seven tenths?
4.NFDECIMALS
50. Which is GREATER: 0.5 or 0.45 ?
4.NFDECIMALS
51. Write 0.62 as a fraction.
4.NFDECIMALS
52. $3.05 + $1.50 = ?
4.NFDECIMALS
53. Which decimal is the SMALLEST?
4.NFDECIMALS
54. Round 0.78 to the nearest tenth.
🟡 Part H — Measurement & conversions
Bigger units hold more. To go from a bigger unit to a smaller one, multiply.
4.MDMEASUREMENT
55. How many centimeters are in 1 meter?
4.MDMEASUREMENT
56. How many grams are in 3 kilograms?
4.MDMEASUREMENT
57. How many minutes are in 2 hours?
4.MDMEASUREMENT
58. How many milliliters are in 1 liter?
4.MDMEASUREMENT
59. A movie is 95 minutes long. How many hours and minutes is that?
4.MDMEASUREMENT
60. How many inches are in 2 feet?
🟣 Part I — Area, perimeter & angles
Area = length × width. Perimeter = distance around. Angles can be right, acute, or obtuse.
4.MDAREA
61. A rectangle is 9 m long and 6 m wide. What is its AREA?
4.MDPERIMETER
62. A rectangle is 9 m long and 6 m wide. What is its PERIMETER?
4.MDANGLE
63. What type of angle is this?
4.MDANGLE
64. What type of angle is this?
4.MDANGLE
65. What type of angle is this?
4.MDAREA
66. A square has a side of 8 cm. What is its area?
⚪ Part J — Geometry & data
Classify lines and shapes; read a line plot.
4.G/4.MDGEOMETRY
67. Two lines that never cross and stay the same distance apart are —
4.G/4.MDGEOMETRY
68. Two lines that cross to form right angles are —
4.G/4.MDGEOMETRY
69. A triangle with all three sides equal is —
4.G/4.MDGEOMETRY
70. How many lines of symmetry does a square have?
4.G/4.MDGEOMETRY
71. A shape with 4 equal sides and 4 right angles is a —
4.G/4.MDGEOMETRY
72. On a line plot, the data point that appears MOST often is the —
🧮 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.
4.NBT · ComputationCOMPUTATION
73. 3,250 + 1,875 = ?
4.NBT · ComputationCOMPUTATION
74. 6,004 − 2,387 = ?
4.NBT · ComputationCOMPUTATION
75. 46 × 7 = ?
4.NBT · ComputationCOMPUTATION
76. 28 × 15 = ?
4.NBT · ComputationCOMPUTATION
77. 144 ÷ 12 = ?
4.NBT · ComputationCOMPUTATION
78. 245 ÷ 5 = ?
4.NBT · ComputationCOMPUTATION
79. 5,000 − 1,234 = ?
4.NBT · ComputationCOMPUTATION
80. 312 × 4 = ?
4.NBT · ComputationCOMPUTATION
81. 0.6 + 0.45 = ?
4.NBT · ComputationCOMPUTATION
82. 936 ÷ 8 = ?
🏆 Challenge score:0 / 22
🏆 Challenge round. Multi-step problems for sharp Grade 4 thinkers.
4.OACHALLENGE
83. A theater has 24 rows with 18 seats each. How many seats in all?
4.OACHALLENGE
84. A baker made 312 cookies and packed them into boxes of 8. How many full boxes?
4.OACHALLENGE
85. Maria saved $12.50 each week for 4 weeks. How much did she save?
4.OACHALLENGE
86. A garden is 15 m by 8 m. What is its area?
4.OACHALLENGE
87. Which fraction is greater: 3/4 or 5/8?
4.OACHALLENGE
88. 2/6 + 3/6 = ?
4.OACHALLENGE
89. A number rounded to the nearest hundred is 700. Which could it be?
4.OACHALLENGE
90. A bus travels 65 miles each hour. How far in 4 hours?
4.OACHALLENGE
91. Each pizza is cut into 8 slices. How many slices in 6 pizzas?
4.OACHALLENGE
92. A library has 4,250 books. It gets 875 more. How many now?
4.OACHALLENGE
93. Which list shows the numbers in order from LEAST to greatest?
4.OACHALLENGE
94. A rope is 6 meters long. How many 50-centimeter pieces can be cut?
4.OACHALLENGE
95. 0.4 + 0.35 = ?
4.OACHALLENGE
96. A class read 1,248 minutes in 4 days, the same each day. How many minutes per day?
4.OACHALLENGE
97. Is 51 prime or composite, and why?
4.OACHALLENGE
98. A rectangle has area 36 sq cm and a side of 4 cm. What is the other side?
4.MDCHALLENGE
99. A bar graph shows books read in one week: Mon 4, Tue 6, Wed 3, Thu 7, Fri 5. How many more books were read on Thursday than on Wednesday?
4.MDCHALLENGE
100. A line graph shows a plant's height: Week 1 = 2 cm, Week 2 = 5 cm, Week 3 = 9 cm, Week 4 = 14 cm. Between which two weeks did the plant grow the most?
4.OACHALLENGE
101. A bag holds 2 red, 3 blue, and 5 green marbles. Without looking, you pull one marble. Which color are you most likely to pull?
4.GCHALLENGE
102. On the coordinate grid below, which point is located at (3, 2)?
(The x-axis goes right; the y-axis goes up; each line is one unit.)
4.OACHALLENGE
103. Maya is 9 years old and buys 3 notebooks for $4 each and 1 pen for $2. She pays with a $20 bill. How much change does she get back?
4.OACHALLENGE
104. A bus has 48 seats and is painted blue. On Monday it carried 36 riders and on Tuesday it carried 29 riders. How many riders rode on those two days in all?
✍️ Write it. Explain your thinking. Fred checks length, key words, and mechanics.
✍️ EXPLAIN #1 · SCORED
🦉 Fred asks: Explain how you would multiply 24 × 18 step by step.
Sentence starter: First I __________, then I __________ .
✍️ EXPLAIN #2 · SCORED
🦉 Fred asks: How do you know 3/4 and 6/8 are equivalent fractions?
Sentence starter: 3/4 equals 6/8 because __________ .
✍️ EXPLAIN #3 · SCORED
🦉 Fred asks: Explain the difference between a prime and a composite number, with an example.
Sentence starter: __________ is prime because __________, but __________ is composite because __________ .
✍️ EXPLAIN #4 · CHALLENGE · SCORED
🦉 Fred asks: A rectangle has an area of 36 sq cm. Explain how you could find a possible length and width.
Sentence starter: I can find the sides because __________ .
Scroll to explore the full test
← Back to Fred · All Iowa Tests
🎉 You finished Math — Grade 4!
You solved like a true Grade 4 mathematician.
☆☆☆☆☆☆☆☆☆☆
0 out of 98 stars
✍️Explanations submitted0 / 4
📍Sections explored0 / 4
📚 Up Next
Grade 4 — Science
Energy, waves, Earth's systems, living things
Your stars and work are saved. Come back any time!
📋 Assign to Google Classroom
Push this practice test to one of your Google Classroom classes.
Test: Math — Grade 4 Grade: Grade 4
Type the name as it appears in your Google Classroom.
📍 You'll be taken to Google Classroom (sign in as mrssharmasclasses@gmail.com) to pick the class and post.
✅ Google Classroom opened in a new tab. Sign in, pick "", and click Assign.