This grade 3 two worksheet answer key solves all 24 problems of the two-step word problems and patterns worksheet step by step.
Every solution shows each step, the equation with its letter, and a check. Compare your work step by step. If your answer is different, find the step where the numbers changed and try again.
Grade 3 Two Worksheet Answer Key: problems 1–5
Problem 1: Find the unknown sum
Subtract: \(n = 61 – 24 = 37\).
Check: \(24 + 37 = 61\).
\(n = 37\)
Problem 2: Find the unknown factor
Divide: \(b = 56 : 7 = 8\).
Check: \(7 \times 8 = 56\).
\(b = 8\)
Problem 3: Add a rule
\(24 + 6 = 30\) and \(30 + 6 = 36\).
The missing numbers are 30 and 36.
Problem 4: Estimate a sum
64 rounds to 60 and 27 rounds to 30. \(60 + 30 = 90\).
Exact: \(64 + 27 = 91\).
The estimate is 90 and the exact sum is 91.
Problem 5: Estimate a difference
481 rounds to 500 and 196 rounds to 200. \(500 – 200 = 300\).
Exact: \(481 – 196 = 285\).
The estimate is 300 and the exact difference is 285.
Grade 3 Two Worksheet Answer Key: problems 6–10
Problem 6: Write a two-step equation
The equation is \(m = 3 \times 8 + 5\).
Multiply first: \(3 \times 8 = 24\). Then add: \(24 + 5 = 29\).
Ava has 29 marbles.
Problem 7: Even or odd product
\(6 \times 7\) means 7 groups of 6. Each group of 6 makes 3 pairs, so the whole amount is made of pairs with none left over.
The product is even. Check: \(6 \times 7 = 42\).
Problem 8: Fill in the pattern
\(21 – 14 = 7\), so the rule is add 7.
\(28 + 7 = 35\) and \(42 + 7 = 49\).
The missing numbers are 35 and 49. The rule is add 7.
Problem 9: Count down by a rule
\(90 – 81 = 9\), so the rule is subtract 9.
\(72 – 9 = 63\) and \(54 – 9 = 45\).
The missing numbers are 63 and 45. The rule is subtract 9.
Problem 10: Doubling in the table
The blue part is \(2 \times 7 = 14\) and the orange part is also 14.
\(4 \times 7 = 14 + 14 = 28\).
\(4 \times 7 = 28\)
Grade 3 Two Worksheet Answer Key: problems 11–15
Problem 11: Pattern in the 5s
The multiples are 5, 10, 15, 20, 25, 30, 35, 40.
The ones digits are 5, 0, 5, 0, 5, 0, 5, 0. They switch between 5 and 0. Odd multiples (5 times 1, 3, 5, 7) end in 5. Even multiples end in 0.
Problem 12: Order of operations
- Multiply first: \(3 \times 5 = 15\). Then add: \(4 + 15 = 19\). The value is 19.
- Parentheses first: \(4 + 3 = 7\). Then multiply: \(7 \times 5 = 35\). The value is 35.
Problem 13: Change from a $20 bill
The equation is \(c = 20 – 3 \times 4\).
\(3 \times 4 = 12\), then \(20 – 12 = 8\).
Mei gets $8 in change.
Problem 14: Rows of chairs
The equation is \(c = 6 \times 5 + 7\).
\(6 \times 5 = 30\), then \(30 + 7 = 37\).
There are 37 chairs.
Problem 15: Crayons given away
The equation is \(r = 5 \times 8 – 13\).
\(5 \times 8 = 40\), then \(40 – 13 = 27\).
27 crayons are left.
Grade 3 Two Worksheet Answer Key: problems 16–20
Problem 16: Cookies on plates
The equation is \(p = 36 : 4 + 3\).
\(36 : 4 = 9\), then \(9 + 3 = 12\).
Each plate has 12 cookies.
Problem 17: Beads shared equally
The equation is \(b = (18 + 14) : 4\). Parentheses come first.
\(18 + 14 = 32\), then \(32 : 4 = 8\).
Each friend gets 8 beads.
Problem 18: Estimate, then solve
48 rounds to 50 and 37 rounds to 40. Estimate: \(50 + 40 = 90\).
Exact: \(48 + 37 = 85\).
The exact total, 85 jars, is close to the estimate of 90, so it is reasonable.
Problem 19: Pages left
The equation is \(p = 70 – (25 + 18)\).
\(25 + 18 = 43\), then \(70 – 43 = 27\).
27 pages are left.
Problem 20: Road trip miles
The equation is \(m = 100 – (45 + 38)\).
\(45 + 38 = 83\), then \(100 – 83 = 17\).
17 miles are left.
Grade 3 Two Worksheet Answer Key: problems 21–24
Problem 21: Little League players
The equation is \(p = 6 \times 8 – 14\).
\(6 \times 8 = 48\), then \(48 – 14 = 34\).
34 players are left.
Problem 22: Pumpkins and a basket
The equation is \(c = 20 – (3 \times 5 + 4)\).
\(3 \times 5 = 15\), then \(15 + 4 = 19\), then \(20 – 19 = 1\).
Maya gets $1 in change.
Problem 23: Find the mistake
Sam added \(5 + 4 = 9\) first and then multiplied \(9 \times 2 = 18\). With no parentheses, multiplication comes first.
\(4 \times 2 = 8\), then \(5 + 8 = 13\).
The correct value is 13.
Problem 24: Boxes of pencils
The equation is \(4 \times p + 7 = 43\).
Undo the adding: \(43 – 7 = 36\). Undo the multiplying: \(36 : 4 = 9\).
Check: \(4 \times 9 + 7 = 36 + 7 = 43\).
Each box has \(p = 9\) pencils.
How to use this grade 3 two worksheet answer key
Read this grade 3 two worksheet answer key after trying each problem yourself, and redo any problem you missed.
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Grade 3 Two-Step Word Problems and Patterns worksheet answer key
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