Hi! I'm Fred the Owl, your math coach. This is an Iowa / ITBS-style Grade 5 Math practice — decimals, fractions, order of operations, volume, and the coordinate plane. Pick an answer to see the method.
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Iowa Assessments · ITBS · Math · Grade 5
Math — Grade 5
FlyingMinds Iowa Test Prep — original, advanced practice built by FlyingMinds to help you become a critical thinker and pass the test
Grade 5DecimalsFractionsVolumeCoordinate Plane
📋 Test Overview
Test
Iowa / ITBS-style Math practice
Grade level
Grade 5
Length
practice + challenge + 4 explain prompts — more practice than Testing Mom's Grade 5 math sets
Topics
Place value & powers of 10 · decimal operations · fractions (add/subtract unlike, multiply, divide) · order of operations · volume · coordinate plane · measurement & geometry
How it's upgraded
Reviewed first; every computation Python-verified; Fred shows the method
Standards
5.OA · 5.NBT · 5.NF · 5.MD · 5.G
⭐ 0 / 88 stars·✍️ 0 / 4 explanations
📖 Learn🎯 Practice🏆 Challenge✍️ Explain
Before you practice: Grade 5 math goes deep into decimals, fractions, volume, and the coordinate plane.
📌 FlyingMinds rule: Follow the order of operations and estimate to check.
🔟 Decimals & powers of 10
Places go to thousandths. ×10 shifts digits left; ÷10 shifts right. 10³ = 1000. Line up decimal points to add or subtract.
🍕 Fractions
Add/subtract fractions by finding a common denominator. Multiply across tops and bottoms. To divide by a unit fraction, count how many fit (2 ÷ 1/4 = 8).
🧮 Order of operations
Parentheses first, then multiply/divide, then add/subtract — always left to right. 3 + 4 × 2 = 11.
📦 Volume
Volume is the space inside a solid: length × width × height, measured in cubic units. Count unit cubes to check.
📍 Coordinate plane
Points are written (x, y): x is across, y is up. The origin is (0, 0).
📐 Geometry & measurement
A square is a special rectangle; a rhombus has equal sides but maybe not right angles. Convert units: 1 m = 100 cm, 1 L = 1000 mL, 1 kg = 1000 g.
🔮 WARM-UP · NOT SCORED
🦉 Fred asks: What order do you follow to solve 3 + 4 × 2, and why?
Starter: First I __________, then I __________ because __________ .
🎯 Practice score:0 / 72
🟢 Part A — Place value, decimals & powers of 10
Each place is 10× the place to its right and 1/10 of the place to its left.
5.NBTPLACE VALUE
1. In 3.426, what is the value of the digit 6?
5.NBTPLACE VALUE
2. What is 10 × 10 × 10 written as a power of 10?
5.NBTPLACE VALUE
3. Multiplying a number by 10 moves the digits —
5.NBTPLACE VALUE
4. Which decimal is the GREATEST?
5.NBTPLACE VALUE
5. Round 6.748 to the nearest hundredth.
5.NBTPLACE VALUE
6. Which shows two and thirty-five hundredths?
5.NBTPLACE VALUE
7. Dividing a number by 10 moves the digits —
5.NBTPLACE VALUE
8. Which is 7 × 1000?
🔵 Part B — Adding & subtracting decimals
Line up the decimal points, then add or subtract.
5.NBTDECIMAL +
9. 3.5 + 2.7 = ?
5.NBTDECIMAL +
10. 12.45 + 6.8 = ?
5.NBTDECIMAL +
11. 9.0 + 3.62 = ?
5.NBTDECIMAL +
12. 5.25 + 4.75 = ?
5.NBTDECIMAL −
13. 8.4 − 3.7 = ?
5.NBTDECIMAL −
14. 10.0 − 4.65 = ?
5.NBTDECIMAL −
15. 7.25 − 2.8 = ?
5.NBTDECIMAL −
16. 6.03 − 1.5 = ?
🟡 Part C — Multiplying & dividing
Multiply multi-digit numbers and decimals; divide with whole-number answers.
5.NBTMULTIPLY
17. 34 × 26 = ?
5.NBTMULTIPLY
18. 125 × 8 = ?
5.NBTMULTIPLY
19. 0.6 × 7 = ?
5.NBTMULTIPLY
20. 2.5 × 4 = ?
5.NBTMULTIPLY
21. 48 × 12 = ?
5.NBTMULTIPLY
22. 0.4 × 0.5 = ?
5.NBTDIVIDE
23. 144 ÷ 12 = ?
5.NBTDIVIDE
24. 225 ÷ 9 = ?
5.NBTDIVIDE
25. 6.4 ÷ 8 = ?
5.NBTDIVIDE
26. 72 ÷ 6 = ?
🟣 Part D — Fractions: add & subtract (unlike denominators)
Rewrite with a common denominator, then add or subtract.
5.NFFRACTION +
27. 1/2 + 1/3 = ?
5.NFFRACTION -
28. 3/4 - 1/8 = ?
5.NFFRACTION +
29. 2/3 + 1/6 = ?
5.NFFRACTION -
30. 5/6 - 1/2 = ?
5.NFFRACTION +
31. 1/4 + 2/5 = ?
5.NFFRACTION -
32. 7/8 - 1/4 = ?
5.NFFRACTION +
33. 1/3 + 1/4 = ?
5.NFFRACTION -
34. 3/5 - 3/10 = ?
🟢 Part E — Multiplying & dividing fractions
Multiply tops and bottoms. To divide by a unit fraction, think how many fit.
5.NFFRACTION ×÷
35. 1/2 × 1/3 = ?
5.NFFRACTION ×÷
36. 2/3 × 3/4 = ?
5.NFFRACTION ×÷
37. 3/5 × 10 = ?
5.NFFRACTION ×÷
38. 1/4 × 8 = ?
5.NFFRACTION ×÷
39. How many 1/4 cups are in 2 cups? (2 ÷ 1/4)
5.NFFRACTION ×÷
40. 1/3 × 1/2 = ?
5.NFFRACTION ×÷
41. 4 × 2/3 = ?
5.NFFRACTION ×÷
42. 3/8 × 2 = ?
🔵 Part F — Order of operations & expressions
Do parentheses first, then multiply/divide, then add/subtract — left to right.
5.OAORDER OF OPS
43. Solve: 3 + 4 × 2
5.OAORDER OF OPS
44. Solve: (6 + 2) × 3
5.OAORDER OF OPS
45. Solve: 20 − 6 ÷ 2
5.OAORDER OF OPS
46. Solve: 2 × (5 + 4)
5.OAORDER OF OPS
47. Which expression means 'add 5 and 3, then double it'?
5.OAORDER OF OPS
48. Solve: 12 ÷ (1 + 2)
🟡 Part G — Volume
Volume measures the space inside a 3-D shape: length × width × height (cubic units).
5.MDVOLUME
49. A box is 4 cm long, 3 cm wide, and 2 cm tall. What is its volume?
5.MDVOLUME
50. Volume is measured in —
5.MDVOLUME
51. A cube has edges of 5 units. Its volume is —
5.MDVOLUME
52. Which formula finds the volume of a rectangular box?
5.MDVOLUME
53. A fish tank is 10 in by 5 in by 4 in. Its volume is —
5.MDVOLUME
54. If you fill a box with unit cubes and count 36 cubes, the volume is —
⚪ Part H — Coordinate plane, measurement & geometry
Plot points (x, y), convert units, and classify shapes.
5.G/5.MDGEOMETRY
55. On a coordinate grid, the point (3, 5) means go —
5.G/5.MDGEOMETRY
56. The point where the x-axis and y-axis meet is the —
5.G/5.MDGEOMETRY
57. How many milliliters are in 2.5 liters?
5.G/5.MDGEOMETRY
58. How many centimeters are in 3.2 meters?
5.G/5.MDGEOMETRY
59. A square is always also a —
5.G/5.MDGEOMETRY
60. A shape with 4 equal sides but NOT always right angles is a —
5.G/5.MDGEOMETRY
61. On a line plot, data are shown above a —
5.G/5.MDGEOMETRY
62. How many grams are in 4 kilograms?
🧮 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.
5.NBT · ComputationCOMPUTATION
63. 12.5 + 7.85 = ?
5.NBT · ComputationCOMPUTATION
64. 9.4 − 3.76 = ?
5.NBT · ComputationCOMPUTATION
65. 3.2 × 4 = ?
5.NBT · ComputationCOMPUTATION
66. 1/2 + 1/3 = ?
5.NBT · ComputationCOMPUTATION
67. 3/4 − 1/8 = ?
5.NBT · ComputationCOMPUTATION
68. 2 + 3 × 4 = ?
5.NBT · ComputationCOMPUTATION
69. (8 + 2) × 5 = ?
5.NBT · ComputationCOMPUTATION
70. 7.2 ÷ 0.9 = ?
5.NBT · ComputationCOMPUTATION
71. 2/3 × 3/4 = ?
5.NBT · ComputationCOMPUTATION
72. 15.6 ÷ 4 = ?
🏆 Challenge score:0 / 22
🏆 Challenge round. Multi-step problems for sharp Grade 5 thinkers.
Grade 5 MathCHALLENGE
73. A recipe needs 3/4 cup of flour. You make 3 batches. How much flour total?
Grade 5 MathCHALLENGE
74. Solve: 5 + 2 × (8 − 3)
Grade 5 MathCHALLENGE
75. A box is 6 by 4 by 5 units. What is its volume?
Grade 5 MathCHALLENGE
76. 1/2 + 1/3 + 1/6 = ?
Grade 5 MathCHALLENGE
77. A runner runs 2.5 km each day for 6 days. How far in all?
Grade 5 MathCHALLENGE
78. What is 0.25 written as a fraction in simplest form?
Grade 5 MathCHALLENGE
79. A pizza is cut into 8 slices. You eat 3/8 and a friend eats 2/8. How much is left?
Grade 5 MathCHALLENGE
80. Plot (0, 4). Where is it?
Grade 5 MathCHALLENGE
81. 48 ÷ 1/4 = ?
Grade 5 MathCHALLENGE
82. A tank holds 3 liters. How many 250-mL cups can it fill?
Grade 5 MathCHALLENGE
83. Which is greater: 2/3 or 0.6?
Grade 5 MathCHALLENGE
84. A garden bed is 12 ft by 3 ft. You double the length. What is the new area?
Grade 5 MathCHALLENGE
85. Solve: 100 − (4 × 5 + 30)
Grade 5 MathCHALLENGE
86. 3/4 − 1/2 = ?
Grade 5 MathCHALLENGE
87. A number times 10³ equals 8,000. The number is —
Grade 5 MathCHALLENGE
88. Liam saved $4.75 each week for 8 weeks. How much did he save?
5.MDCHALLENGE
89. A bar graph shows monthly book sales: January 20, February 30, March 25, April 35. Which month sold the most books?
5.MDCHALLENGE
90. A line graph shows a plant's height: Week 1 is 4 cm, Week 2 is 7 cm, Week 3 is 10 cm. If the pattern continues, how tall will the plant be in Week 4?
5.MDCHALLENGE
91. A bag holds 3 red marbles, 5 blue marbles, and 2 green marbles. If you pull one marble without looking, which color are you most likely to get?
5.GCHALLENGE
92. On a coordinate grid, a point is located 3 units to the right of the origin and 5 units up. What ordered pair names this point?
5.OACHALLENGE
93. A school orders 18 boxes of markers with 24 markers in each box. About how many markers is that? (Estimate by rounding first.)
5.OACHALLENGE
94. Maya has $50. She buys 3 notebooks that cost $6 each and a backpack that costs $19. About how much money does she have left? (Estimate, then check.)
✍️ Write it. Explain your thinking. Fred checks length, key words, and mechanics.
✍️ EXPLAIN #1 · SCORED
🦉 Fred asks: Explain how to add 1/2 + 1/3 step by step.
Sentence starter: First I find a common denominator of __________, then I __________ .
✍️ EXPLAIN #2 · SCORED
🦉 Fred asks: Explain why 3 + 4 × 2 equals 11, not 14.
Sentence starter: It equals 11 because __________ .
✍️ EXPLAIN #3 · SCORED
🦉 Fred asks: Explain how to find the volume of a box and what units you use.
Sentence starter: I find volume by __________ and I measure it in __________ because __________ .
✍️ EXPLAIN #4 · CHALLENGE · SCORED
🦉 Fred asks: How many 1/4-cup scoops are in 3 cups? Explain your reasoning.
Sentence starter: There are __________ scoops because __________ .
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