4th Grade Multistep Word Problems Test Answer Key and Scoring Guide (PDF)

4th grade multi step word problems test answer key – Maths PDF

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This 4th grade multi step word problems test answer key covers multistep word problems (Common Core 4.OA.A.3), with a free PDF to print.

Key takeaway: This answer key helps fourth grade students see how each point on the multistep test was earned.

Topic: Multistep Word Problems (4th grade)
Content: Worked solutions and a scoring guide for 9 questions
Standards: 4.OA.A.3
Answers: Every step shown, with the method to review
Format: Free printable PDF, US Letter, black and white

This answer key helps fourth grade students see how each point on the multistep test was earned. Also, it gives full solutions to all nine questions, with each step labeled and each equation written out.

Question 3 explains why the cabin answer rounds up, question 8 shows how an estimate exposes an unreasonable answer, and question 9 combines three operations. Add your points out of 20, then spend about 15 minutes redoing every question that lost credit. Then, write each correction as a short list of steps with labels.

Use this answer key to score the test. Each solution shows the steps in order, and the scoring note tells how the points are awarded. Total: 20 points.

Grade 4 · Common Core State Standards: 4.OA.A.3

4th grade multi step word problems test answer key: worked solutions

1 – Bakery trays [2 pts]

$m = 6 \times 18 – 75$. $6 \times 18 = 108$, and $108 – 75 = 33$.

33 muffins

Scoring: 1 point for a correct equation. 1 point for 33.

2 – Beads in bags [2 pts]

$96 \div 8 = 12$, then $12 + 5 = 17$.

17 beads

Scoring: 1 point for 12 beads in each bag. 1 point for 17.

3 – Camp cabins [2 pts]

$100 \div 7 = 14 \text{ R } 2$ because $7 \times 14 = 98$.

Two campers still need a bed, so round up.

15 cabins

Scoring: 1 point for 14 R 2. 1 point for rounding up to 15.

4 – Estimate and solve [2 pts]

Estimate: $4 \times 40 + 20 = 180$.

Exact: $4 \times 38 = 152$, and $152 + 17 = 169$.

about $\$180.00$; exactly $\$169.00$

Scoring: 1 point for the estimate. 1 point for the exact total.

5 – Saving money [2 pts]

Five bars of $45 in all.

Brother: $4 \times 45 = 180$.

Together: $45 + 180 = 225$.

$\$225.00$

Scoring: 1 point for $180. 1 point for $225.

6 – Money left [2 pts]

$m = 120 – 36 – 3 \times 18$. $3 \times 18 = 54$; $120 – 36 = 84$; $84 – 54 = 30$.

$\$30.00$

Scoring: 1 point for a correct equation. 1 point for $30.

Question 7 and after

7 – Peach crates [3 pts]

144 peaches, 25 spoiled.

$3 \times 48 = 144$. 144 peaches
$144 – 25 = 119$. 119 peaches
$119 \div 8 = 14 \text{ R } 7$ because $8 \times 14 = 112$. 14 full bags; 7 peaches left over

Scoring: 1 point for each part.

8 – Is it reasonable? [3 pts]

$7 \times 40 + 20 = 280 + 20 = 300$. about 300
400 is 100 more than the estimate, which is too far. Her answer is not reasonable.
$7 \times 38 = 266$, and $266 + 24 = 290$. 290

Scoring: 1 point for each part.

9 – Juice pouches [2 pts]

All pouches: $5 \times 36 = 180$.

Left: $180 – 148 = 32$.

Each team: $32 \div 4 = 8$.

8 pouches

Scoring: 1 point for 32 pouches left. 1 point for 8 pouches each.

Total score

Total

20 points

Key facts behind this 4th grade multi step word problems test answer key

Key facts

A multistep problem uses two or more of the four operations.
Next, use a letter for the unknown and write an equation, such as b = 6 × 24 − 37.
Solve one step at a time and write units with each answer.
Interpret a remainder by rereading the question: drop it, round up, or use it as the answer.
Check with estimation by rounding the numbers and doing the same steps.

Common mistakes with this 4th grade multi step word problems test answer key

Students count a question as wrong because of one early slip. Instead, mark the slip, then follow the later steps to see how much credit remains.
Students skip part credit in question 7. Each part has its own point, so label parts a, b, and c.
Students forget the unit in question 9. Instead, the final answer is pouches for each team. Slow down at that step and check it twice.
Students ignore the equation in question 6. The equation is worth a point, so write it before you solve.

How to learn from your test

Sort lost points into reading mistakes, operation mistakes, and arithmetic mistakes. Then practice the biggest group first. Repeat this habit on every problem for the best results.
Redo question 1 with new numbers. A fresh version shows whether you understand the method. Repeat this habit on every problem for the best results.
Teachers can ask students to explain one correction by pointing to each step in the key. Repeat this habit on every problem for the best results.

Download the 4th grade multi step word problems test answer key as a PDF with the button below and keep it with your notes.

4th grade multi step word problems test answer key: frequently asked questions

Why does question 3 have the answer 15 cabins?

Divide 100 campers by 7 to get 14 with 2 left over. Those 2 campers still need beds, so the camp needs one more cabin. Fifteen cabins sleep 105 campers, which is enough for everyone.

How many pouches does each team get in question 9?

First multiply 5 boxes by 36 pouches to get 180 pouches. Then subtract the 148 sold to find 32 left. Finally, divide 32 by 4 teams, so each team gets 8 pouches. A quick check like this takes only a few seconds and prevents most errors.

What counts as a good explanation in question 8?

A good explanation names the estimate, compares it with the answer, and states a conclusion. The estimate of 300 is far from 400, so Aisha’s answer is not reasonable. The correct value is 290.

All Grade 4 chapters: Grade 4 math.

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