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Mathematics Worksheet

🧪 Mixture Problems

Chapter: Arithmetic · Level ★☆☆ · Time: 30 min
SCORE___ / 20
NameClassDate
After this worksheet you can
Use alligation to find mixing ratios.Find the average price of a mixture.Blend ingredients to a target value.Understand weighted averages.
📚 Quick Recap

Mixture problems combine two or more quantities with different properties (like concentration or price) to find a resulting average or unknown proportion.

🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4

1Mix $15/kg and $25/kg to get $20/kg. Ratio:
2Mix $40/L and $60/L to get $45/L. Ratio:
3Mix 15 kg at $12 and 5 kg at $20. Average price:
4Alligation compares each price to the:

🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11

5The rule used to find mixing ratios is called .
6Mixing $15/kg and $25/kg to get $20/kg needs a ratio of .
7Mix wheat at $15/kg and $25/kg to get $20/kg. Find the ratio.
8Mix milk at $40/L and $60/L to make $45/L. Find the ratio.
9Mix 15 kg at $12/kg with 5 kg at $20/kg. Find the average price.

🚀 Section C · Challenge ● CHALLENGE 5

10In what ratio to mix a 15% and 35% saline solution to get 25%?
💭 Reflection — the most useful thing I learned:
A ___/4   B ___/11   C ___/5   Total ___/20 Teacher's Signature Parent's Signature
✂ answer key — fold or cut before handing out

1-A   2-A   3-A   4-B  |  5 alligation   6 1:1   7 = 1:1   8 = 3:1   9 = $14/kg  |  10 = 1:1

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