Free Grade 3 Introducing Determinants Techniques Worksheets
Free Grade 3 worksheets for Introducing Determinants Techniques: 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing determinants techniques
Identify introducing determinants techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing determinants techniques
Explain introducing determinants techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing determinants techniques
Calculate introducing determinants techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing determinants techniques
Compare introducing determinants techniques 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 Introducing Determinants Techniques 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 10:20.[1]
- 2.Simplify the ratio 48:48.[1]
- 3.Simplify the ratio 24:12.[1]
- 4.Simplify the ratio 40:40.[1]
- 5.Share 84 in the ratio 1:6.[2]
- 6.Share 88 in the ratio 2:6.[2]
- 7.Share 108 in the ratio 3:6.[2]
- 8.Share 42 in the ratio 3:4.[2]
- 9.Share 66 in the ratio 2:4.[3]
- 10.Share 36 in the ratio 1:3.[3]
- 11.Share 42 in the ratio 1:5.[3]
- 12.Share 84 in the ratio 4:3.[3]
Show answers and working
1. 1:2
HCF of 10 and 20 is 10. Divide both parts by it: 1:2.
2. 1:1
HCF of 48 and 48 is 48. Divide both parts by it: 1:1.
3. 2:1
HCF of 24 and 12 is 12. Divide both parts by it: 2:1.
4. 1:1
HCF of 40 and 40 is 40. Divide both parts by it: 1:1.
5. 12 and 72
Total parts: 1 + 6 = 7. One part: 84 ÷ 7 = 12. 1 × 12 = 12, 6 × 12 = 72.
6. 22 and 66
Total parts: 2 + 6 = 8. One part: 88 ÷ 8 = 11. 2 × 11 = 22, 6 × 11 = 66.
7. 36 and 72
Total parts: 3 + 6 = 9. One part: 108 ÷ 9 = 12. 3 × 12 = 36, 6 × 12 = 72.
8. 18 and 24
Total parts: 3 + 4 = 7. One part: 42 ÷ 7 = 6. 3 × 6 = 18, 4 × 6 = 24.
9. 22 and 44
Total parts: 2 + 4 = 6. One part: 66 ÷ 6 = 11. 2 × 11 = 22, 4 × 11 = 44.
10. 9 and 27
Total parts: 1 + 3 = 4. One part: 36 ÷ 4 = 9. 1 × 9 = 9, 3 × 9 = 27.
11. 7 and 35
Total parts: 1 + 5 = 6. One part: 42 ÷ 6 = 7. 1 × 7 = 7, 5 × 7 = 35.
12. 48 and 36
Total parts: 4 + 3 = 7. One part: 84 ÷ 7 = 12. 4 × 12 = 48, 3 × 12 = 36.
Worked examples
Simplify the ratio 36:24.
- HCF of 36 and 24 is 12.
- Divide both parts by it: 3:2.
- Answer: 3:2
Share 14 in the ratio 4:3.
- Total parts: 4 + 3 = 7.
- One part: 14 ÷ 7 = 2.
- 4 × 2 = 8, 3 × 2 = 6.
- Answer: 8 and 6
Share 77 in the ratio 5:6.
- Total parts: 5 + 6 = 11.
- One part: 77 ÷ 11 = 7.
- 5 × 7 = 35, 6 × 7 = 42.
- Answer: 35 and 42
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 Introducing Determinants Techniques
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
All free formats for this concept
Every kind below is a real page, generated from this entity.
Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Introducing Determinants Techniques worksheet really free?
- Yes. Every worksheets 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 Introducing Determinants Essentials, Identity Matrix. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet 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 Introducing Determinants Techniques?
- Move on to Introducing Determinants Word Problems, Introducing Determinants Common Errors, Working with Determinants, Determinants in Context, which build directly on this idea.
Related resources
Stuck on Introducing Determinants Techniques? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor