Problem 51 · The Dangerous-ers’ Drop-Line TestPrint one blank worksheet now, download its PDF, or prepare a family or classroom packet.
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The Dangerous-ers’ Drop-Line Test

Complete to collectTumbled CarnelianLevel 2 · 3 Glints

The Dangerous-ers are Jules's team for risky Manyfold jobs, and he leads them.

Today 3 rope lines must land on the same safe ledge at mark 28.

The hooks are at marks 73, 61, and 54. The ropes are 26, 45, 29, and 33 marks long. Each hook needs one rope. One rope will be left behind.

Jules leads two red-shirt Dangerous-ers into the fold shaft.

Draw and write on this page. Use scratch paper as needed.

  1. Draw one line from each hook card to the rope card that reaches mark 28. Circle the one rope that should be left behind.

    Hook marks

    73 61 54

    Rope lengths

    26 45 29 33
  2. Complete the three subtraction equations in the check strip.

    73 − = 28 61 − = 28 54 − = 28
  3. Look at the matches for hooks 73 and 61. The second hook is 12 marks lower. Complete the comparison to show why both ropes still land at 28.

    Hook: 73 → 61 Rope: → Rope is marks shorter Landing: 28 → 28

At a glance

About this problem

These tags show what the problem is about and the math you’ll use. Choose one to find similar problems.

Theme

Skills

Helpful first

Grade

Math area

Topics

Is this a good fit?

Before you choose this problem

A plain-language look at readiness, thinking, time, and the expected response.

Math readiness

Designed for Grade 3

Uses Middle Grade 2 math.

Thinking

Standard challenge

The solver chooses and coordinates familiar methods.

Time & response

About 3–8 minutes

Light amount of written work · Short Answer response.

How to support: Let the learner match the numbers by subtracting or by asking what must be added to 28. Then ask what must change when a hook moves lower but the landing stays put.

Keep exploring

The Manyfold challenge 7 of 22

Technical reference

Rating, skills & curriculum

Designed for Grade 3 · Uses Middle Grade 2 math · About 3–8 minutes

Grade 3 · Operations and computation · Addition and subtraction

MJ 2.3 · C2 · W1

Precise MJD coordinates, factor scores, skill weights, calibration evidence, and curriculum crosswalks. This reference is available to everyone and is intentionally last.

Content level

MJ 2.3

Grades K–2

Grade 2 progression · point 3

Likely range
MJ 2.2–2.5
Confidence
84%

Challenge

C2 · Standard

The solver chooses and coordinates familiar methods.

  • Method selection2
  • Reasoning depth2
  • Novelty1
  • Constraint management2
  • Proof or justification1

Workload

W1 · Light

A short response with only a few steps.

Active time
3–8 minutes · typically 4.5
Response
Short Answer
Known-method steps
8
  • Mechanical execution1
  • 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.

  • Solve one- and two-step addition/subtraction stories within 100

    The learner can solve one- and two-step addition/subtraction stories within 100. This capability is distinct from mere exposure to or isolated use of Grade 1 story structures.

    • Independent mastery
    • 100% focus
    • MJ 2.3 milestone

Readiness

Helpful prerequisites

Skills the rating assumes are already available to the learner.

  • Solve addition and subtraction story problems within 20

    The learner can solve addition and subtraction story problems within 20. This capability is distinct from mere exposure to or isolated use of K addition/subtraction meanings.

    • Independent readiness
    • Required
    • MJ 1.3 milestone

External alignment

Curriculum and standards crosswalks

Approved evidence-backed locations that support discovery. They do not define the MathJewels rating.

Bridges in Mathematicsthird-edition · 12 locations
Modules7 locations · Representative: Module 4: Adding & Subtracting to 20
Number Corner workouts5 locations · Representative: September: Calendar Grid
Common Core State Standards for Mathematics2010 · 1 location
Standards1 location · Representative: Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.