Mathovore, everything you need to succeed in math: Common Core lessons, worksheets, tests and quizzes
Skip to content

Two-Step Word Problems and Patterns: Grade 3 Math Test Answer Key – PDF Download

    This grade 3 two test answer key gives the full solution and the scoring guide for each of the 9 test questions on two-step word problems and patterns.

    Use this key to score the test out of 20 points. Each answer shows the equation and every step. The scoring note explains how to award partial credit when a student has the right idea.

    Grade 3Common Core: 3.OA.D.8 · 3.OA.D.9

    Grade 3 Two Test Answer Key: questions 1–5

    Question 1: Find the unknown (2 points)

    1. \(n = 75 – 38 = 37\). \(n = 37\)
    2. \(k = 63 : 9 = 7\). \(k = 7\)

    Scoring: 1 point for each correct value.

    Question 2: Marbles in bags (3 points)

    1. \(m = 5 \times 6 + 4\)
    2. \(5 \times 6 = 30\), then \(30 + 4 = 34\). \(m = 34\)
    3. \(34 – 9 = 25\). Priya has 25 marbles.
    34Marbles5 × 6 = 304
    The total is 34 marbles.

    Scoring: 1 point for a correct equation. 1 point for 34. 1 point for 25.

    Question 3: Estimate by rounding (2 points)

    1. 473 rounds to 500 and 286 rounds to 300. \(500 + 300 = 800\). The estimate is 800.
    2. \(473 + 286 = 759\). It is reasonable because 759 is close to 800.

    Scoring: 1 point for 800. 1 point for 759 and a correct reason.

    Question 4: Complete the pattern (2 points)

    1. \(24 + 8 = 32\) and \(32 + 8 = 40\). The missing numbers are 32 and 40.
    2. The rule is add 8.
    8+816+824+832+840
    The rule is add 8.

    Scoring: 1 point for both numbers. 1 point for the rule.

    Question 5: Multiplication table pattern (2 points)

    1. \(3 \times 5 = 15\) and \(6 \times 4 = 24\). The missing products are 15 and 24.
    2. Each number in the 6s row is double the number above it. This happens because \(6 = 3 + 3\), so \(6 \times c = 3 \times c + 3 \times c\).

    Scoring: 1 point for both products. 1 point for double with a reason.

    Grade 3 Two Test Answer Key: questions 6–9

    Question 6: Change at the store (2 points)

    1. \(c = 20 – (4 \times 3 + 5)\)
    2. \(4 \times 3 = 12\), \(12 + 5 = 17\), \(20 – 17 = 3\). Ethan gets $3 in change.
    $20Money$12$5$3
    The change is $3.

    Scoring: 1 point for a correct equation. 1 point for $3.

    Question 7: Sharing stickers (3 points)

    1. \(s = (24 + 18) : 6\)
    2. \(24 + 18 = 42\), then \(42 : 6 = 7\). \(s = 7\)
    3. \(7 – 3 = 4\). Each friend has 4 stickers.

    Scoring: 1 point for a correct equation (parentheses needed). 1 point for 7. 1 point for 4.

    Question 8: Order of operations (2 points)

    1. \(2 \times 6 = 12\), then \(7 + 12 = 19\). The value is 19.
    2. \(7 + 2 = 9\), then \(9 \times 6 = 54\). The value is 54.

    Scoring: 1 point for each correct value.

    Question 9: Pages left (2 points)

    1. \(p = 96 – (28 + 35)\)
    2. \(28 + 35 = 63\), then \(96 – 63 = 33\). 33 pages are left.
    96Book283533
    Check: 28 + 35 + 33 = 96.

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

    Scoring summary

    Total

    20 points: add the points of every question of this grade 3 two test answer key.

    How to use this grade 3 two test answer key

    Use this grade 3 two test answer key to score the test fairly and to see which skills need more practice.

    Next step after this grade 3 two test answer key: Two-Step Word Problems and Patterns quiz

    Printable PDF · Test Answer Key

    Grade 3 Two-Step Word Problems and Patterns test answer key

    • 📄 US Letter
    • 💾 96 KB
    • 🖨️ Black and white friendly
    Download the PDF

    See every chapter on the Grade 3 math page.

    Rate this page