Free Grade 3 Matrix Operations Flashcards
Free Grade 3 flashcards for Matrix Operations: 12 real questions with a full answer key and worked solutions. A ratio compares parts of a whole. To share in a ratio, add the parts, find one part, then multiply.
Free
Higher
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain matrix operations
Explain matrix operations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate matrix operations
Calculate matrix operations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare matrix operations
Compare matrix operations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify matrix operations
Justify matrix operations accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Matrix Operations works
A ratio compares parts of a whole. To share in a ratio, add the parts, find one part, then multiply.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Simplify the ratio 8:8.[1]
- 2.Simplify the ratio 4:4.[1]
- 3.Simplify the ratio 40:20.[1]
- 4.Simplify the ratio 30:18.[1]
- 5.Share 72 in the ratio 3:3.[2]
- 6.Share 33 in the ratio 5:6.[2]
- 7.Share 63 in the ratio 3:6.[2]
- 8.Share 24 in the ratio 2:6.[2]
- 9.Share 77 in the ratio 1:6.[3]
- 10.Share 22 in the ratio 5:6.[3]
- 11.Share 30 in the ratio 1:2.[3]
- 12.Share 44 in the ratio 3:1.[3]
Show answers and working
1. 1:1
HCF of 8 and 8 is 8. Divide both parts by it: 1:1.
2. 1:1
HCF of 4 and 4 is 4. Divide both parts by it: 1:1.
3. 2:1
HCF of 40 and 20 is 20. Divide both parts by it: 2:1.
4. 5:3
HCF of 30 and 18 is 6. Divide both parts by it: 5:3.
5. 36 and 36
Total parts: 3 + 3 = 6. One part: 72 ÷ 6 = 12. 3 × 12 = 36, 3 × 12 = 36.
6. 15 and 18
Total parts: 5 + 6 = 11. One part: 33 ÷ 11 = 3. 5 × 3 = 15, 6 × 3 = 18.
7. 21 and 42
Total parts: 3 + 6 = 9. One part: 63 ÷ 9 = 7. 3 × 7 = 21, 6 × 7 = 42.
8. 6 and 18
Total parts: 2 + 6 = 8. One part: 24 ÷ 8 = 3. 2 × 3 = 6, 6 × 3 = 18.
9. 11 and 66
Total parts: 1 + 6 = 7. One part: 77 ÷ 7 = 11. 1 × 11 = 11, 6 × 11 = 66.
10. 10 and 12
Total parts: 5 + 6 = 11. One part: 22 ÷ 11 = 2. 5 × 2 = 10, 6 × 2 = 12.
11. 10 and 20
Total parts: 1 + 2 = 3. One part: 30 ÷ 3 = 10. 1 × 10 = 10, 2 × 10 = 20.
12. 33 and 11
Total parts: 3 + 1 = 4. One part: 44 ÷ 4 = 11. 3 × 11 = 33, 1 × 11 = 11.
Worked examples
Simplify the ratio 40:10.
- HCF of 40 and 10 is 10.
- Divide both parts by it: 4:1.
- Answer: 4:1
Share 20 in the ratio 2:2.
- Total parts: 2 + 2 = 4.
- One part: 20 ÷ 4 = 5.
- 2 × 5 = 10, 2 × 5 = 10.
- Answer: 10 and 10
Share 48 in the ratio 4:2.
- Total parts: 4 + 2 = 6.
- One part: 48 ÷ 6 = 8.
- 4 × 8 = 32, 2 × 8 = 16.
- Answer: 32 and 16
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Divides the total by the ratio numbers directly.
Correction: Add the parts first to find what one part is worth.
Writes the ratio in the wrong order.
Correction: Keep the order the question uses.
Teacher tips
- · Use bar models with equal-sized boxes for each part.
Parent tips
- · Make squash in a 1:4 ratio.
Real-life applications
- · Mixing paint or squash, scaling recipes.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Matrix Operations
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Frequently asked
- Is this Grade 3 Matrix Operations flashcards really free?
- Yes. Every flashcards on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Vectors. Each one has its own free lesson, worksheet and quiz.
- How is the flashcards sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Matrix Operations?
- Move on to Number Sense, Algebra, Geometry, Measurement, which build directly on this idea.
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