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Problem 8 · The Ore Cart GraphOnly the worksheet will be included when you print.
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Date

The Ore Cart Graph

Total reward 2 jewels

In Minecraft, Alex tracks ore with a picture graph. The coal row has 3 cart symbols, the iron row has 5 cart symbols, and the gold row has 2 cart symbols. Each cart symbol stands for 4 ore blocks.

Ore picture graph

OreCart symbols
Coal
Iron
Gold

Key: 1 cart symbol = 4 ore blocks

Your challenges

  1. How many ore blocks are represented by all three rows altogether?

    Reward 1 jewel

  2. How many more iron ore blocks than gold ore blocks are shown?

    Reward 1 jewel

Show your answer

Show how you used the key. Write an equation for each answer.

Show your work

Teacher & family guide

Difficulty & skills

Grade 3 · Data and probability · Number and operations · Scaled picture graphs · Whole-number operations · Equal groups

MJ 3.4 · C2 · W2

MathJewels rates content readiness, problem-solving challenge, and workload separately. These estimates describe the easiest reasonable solution path and do not reveal the solution.

Content level

MJ 3.4

Grades 3–5

Grade 3 progression · point 4

Likely range
MJ 3.2–3.7
Confidence
84%

Challenge

C2 · Standard

The solver chooses and coordinates familiar methods.

  • Method selection1
  • Reasoning depth2
  • Novelty0
  • Constraint management1
  • Proof or justification1

Workload

W2 · Moderate

Several coordinated calculations, representations, or explanation steps.

Active time
4–11 minutes · typically 7
Response
Short Explanation
Known-method steps
6
  • Mechanical execution2
  • Written output1
  • Representation production1
  • Bookkeeping1

Learning focus

Skills this problem practices

What a successful response demonstrates, with each skill’s share of the content rating.

  • Interpret a scaled picture graph

    Use a picture-graph key greater than one to determine, combine, and compare represented whole-number quantities.

    • Independent mastery
    • 50% focus
    • MJ 3.4 milestone

  • Multiply equal groups

    Represent and solve whole-number situations made from equal groups, including choosing and evaluating a multiplication equation.

    • Independent mastery
    • 25% focus
    • MJ 3.2 milestone

  • Add and subtract quantities

    Combine and compare whole-number quantities in contextual problems and use addition or subtraction to find an unknown result.

    • Fluent mastery
    • 25% focus
    • MJ 3.2 milestone

Readiness

Helpful prerequisites

Skills the rating assumes are already available to the learner.

  • Multiply equal groups

    Represent and solve whole-number situations made from equal groups, including choosing and evaluating a multiplication equation.

    • Independent readiness
    • Required
    • MJ 3.2 milestone

  • Add and subtract quantities

    Combine and compare whole-number quantities in contextual problems and use addition or subtraction to find an unknown result.

    • Fluent readiness
    • Required
    • MJ 3.2 milestone

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