Free Grade 3 Working with Counterexamples Worksheets
Free Grade 3 worksheets for Working with Counterexamples: 12 real questions with a full answer key and worked solutions. Counting on means saying the next numbers in order, adding the same amount each time. Counting in 2s, 5s and 10s is the first step towards times tables.
Free
Core
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with counterexamples
Explain working with counterexamples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with counterexamples
Calculate working with counterexamples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with counterexamples
Compare working with counterexamples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with counterexamples
Justify working with counterexamples 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 Working with Counterexamples works
Counting on means saying the next numbers in order, adding the same amount each time. Counting in 2s, 5s and 10s is the first step towards times tables.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Count on in 2s: 4, 6, 8, 10, __, __[1]
- 2.Count on in 1s: 1, 2, 3, 4, __, __[1]
- 3.Count on in 2s: 10, 12, 14, 16, __, __[1]
- 4.Count on in 2s: 20, 22, 24, 26, __, __[1]
- 5.Count on in 5s: 150, 155, 160, 165, __, __[2]
- 6.Count on in 5s: 10, 15, 20, 25, __, __[2]
- 7.Count on in 5s: 110, 115, 120, 125, __, __[2]
- 8.Count on in 5s: 85, 90, 95, 100, __, __[2]
- 9.Count on in 10s: 200, 210, 220, 230, __, __[3]
- 10.Count on in 5s: 120, 125, 130, 135, __, __[3]
- 11.Count on in 10s: 400, 410, 420, 430, __, __[3]
- 12.Count on in 5s: 240, 245, 250, 255, __, __[3]
Show answers and working
1. 12, 14
Each number is 2 more than the one before. 10 + 2 = 12 12 + 2 = 14
2. 5, 6
Each number is 1 more than the one before. 4 + 1 = 5 5 + 1 = 6
3. 18, 20
Each number is 2 more than the one before. 16 + 2 = 18 18 + 2 = 20
4. 28, 30
Each number is 2 more than the one before. 26 + 2 = 28 28 + 2 = 30
5. 170, 175
Each number is 5 more than the one before. 165 + 5 = 170 170 + 5 = 175
6. 30, 35
Each number is 5 more than the one before. 25 + 5 = 30 30 + 5 = 35
7. 130, 135
Each number is 5 more than the one before. 125 + 5 = 130 130 + 5 = 135
8. 105, 110
Each number is 5 more than the one before. 100 + 5 = 105 105 + 5 = 110
9. 240, 250
Each number is 10 more than the one before. 230 + 10 = 240 240 + 10 = 250
10. 140, 145
Each number is 5 more than the one before. 135 + 5 = 140 140 + 5 = 145
11. 440, 450
Each number is 10 more than the one before. 430 + 10 = 440 440 + 10 = 450
12. 260, 265
Each number is 5 more than the one before. 255 + 5 = 260 260 + 5 = 265
Worked examples
Count on in 2s: 8, 10, 12, 14, __, __
- Each number is 2 more than the one before.
- 14 + 2 = 16
- 16 + 2 = 18
- Answer: 16, 18
Count on in 5s: 125, 130, 135, 140, __, __
- Each number is 5 more than the one before.
- 140 + 5 = 145
- 145 + 5 = 150
- Answer: 145, 150
Count on in 10s: 370, 380, 390, 400, __, __
- Each number is 10 more than the one before.
- 400 + 10 = 410
- 410 + 10 = 420
- Answer: 410, 420
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Says the starting number as the first count when counting on.
Correction: Point to the start number, then say the NEXT number as 'one'.
Loses the pattern when crossing a ten (e.g. 28, 29, 20).
Correction: Use a 100 square so the child sees the row change.
Teacher tips
- · Use a 100 square and colour each skip-count pattern in a different colour.
Parent tips
- · Count stairs in 2s or cars in 5s on a walk.
Real-life applications
- · Counting coins in 5s and 10s, counting pairs of socks in 2s.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Working with Counterexamples 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 Counterexamples, Matrices. 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 Working with Counterexamples?
- Move on to Counterexamples in Context, Algebraic Proof, Proof by Exhaustion, which build directly on this idea.
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