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Mathematical Modelling (Coding) Worksheets

Free printable mathematical modelling (coding) worksheets with step-by-step answer keys. Every worksheet is uniquely generated so students never see the same problems twice. Topics covered range from linear accumulation: start + add Γ— repeats at the easy level through to greedy budget allocation across two items at the advanced level.

LK20.9LK20.10

Difficulty Levels

Beginner

Concepts
Linear accumulation: start + add Γ— repeats
Number Range
start: 10–50, add: 5–15, repeats: 2–4
Steps
2 steps
Example
Start 20, add 10 each week for 3 weeks

Easy

Concepts
Distance = speed Γ— time formula
Number Range
rate: 8–900 km/h, time: 1–8 hours
Steps
2 steps
Example
Boat at 25 km/h for 4 hours

Medium

Concepts
Percentage decay modelled with a loop
Number Range
init: 100–1000, decay: 2–10%, steps: 3–5
Steps
2 steps
Example
Population 500, βˆ’5%/year for 4 years

Hard

Concepts
Greedy budget allocation across two items
Number Range
budget: 500–1500, item costs: 30–150
Steps
3 steps
Example
Budget 1000: books at 120, pens at 30

Grade Availability

Mathematical Modelling (Coding) worksheets are available for Grades 9–10. Problems are automatically adjusted to match grade-level expectations in number range, complexity, and notation.

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