4th Grade Multistep Word Problems Test Solutions and Scoring (PDF)

4th Grade math test solutions: Multistep Word Problems – Maths PDFCover of the book Grade 4 Math Tests with Answer Keys (PDF)Download as a PDFThe Grade 4 tests book with answer keysPrintable PDFSee the book ›


This grade 4 multistep problems test answers for 4th Grade covers multistep word problems (Common Core 4.OA.A.3), with a free PDF to print.

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

Grade 4 multistep problems test answers: worked solutions

Question 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.

Question 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.

Question 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.

Question 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.

Question 5 – Saving money [2 pts]

Sofia$45Brother$45$45$45$45
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.

Question 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 – Peach crates [3 pts]

Crates484848Spoiled25
144 peaches, 25 spoiled.
  1. \(3 \times 48 = 144\). 144 peaches
  2. \(144 – 25 = 119\). 119 peaches
  3. \(119 \div 8 = 14 \text{ R } 7\) because \(8 \times 14 = 112\). 14 full bags; 7 peaches left over

Scoring: 1 point for each part.

Question 8 – Is it reasonable? [3 pts]

  1. \(7 \times 40 + 20 = 280 + 20 = 300\). about 300
  2. 400 is 100 more than the estimate, which is too far. Her answer is not reasonable.
  3. \(7 \times 38 = 266\), and \(266 + 24 = 290\). 290

Scoring: 1 point for each part.

Question 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 grade 4 multistep problems test answers

Key facts
  • A multistep problem uses two or more of the four operations.
  • 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.

How to use this grade 4 multistep problems test answers

Score your test with the point values shown for each question. Then read the worked solution of every question where you lost points and note the method to review.

All Grade 4 chapters: Grade 4 math.

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4th Grade Multistep Word Problems Test Solutions and Scoring

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