Free Grade 3 Counterexamples Quizzes
Free Grade 3 quizzes for 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
Stretch
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify counterexamples
Identify counterexamples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain counterexamples
Explain counterexamples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate counterexamples
Calculate counterexamples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare counterexamples
Compare 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 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: 12, 14, 16, 18, __, __[1]
- 2.Count on in 2s: 14, 16, 18, 20, __, __[1]
- 3.Count on in 1s: 5, 6, 7, 8, __, __[1]
- 4.Count on in 2s: 8, 10, 12, 14, __, __[1]
- 5.Count on in 2s: 30, 32, 34, 36, __, __[2]
- 6.Count on in 5s: 100, 105, 110, 115, __, __[2]
- 7.Count on in 5s: 75, 80, 85, 90, __, __[2]
- 8.Count on in 2s: 10, 12, 14, 16, __, __[2]
- 9.Count on in 5s: 225, 230, 235, 240, __, __[3]
- 10.Count on in 5s: 10, 15, 20, 25, __, __[3]
- 11.Count on in 10s: 170, 180, 190, 200, __, __[3]
- 12.Count on in 10s: 390, 400, 410, 420, __, __[3]
Show answers and working
1. 20, 22
Each number is 2 more than the one before. 18 + 2 = 20 20 + 2 = 22
2. 22, 24
Each number is 2 more than the one before. 20 + 2 = 22 22 + 2 = 24
3. 9, 10
Each number is 1 more than the one before. 8 + 1 = 9 9 + 1 = 10
4. 16, 18
Each number is 2 more than the one before. 14 + 2 = 16 16 + 2 = 18
5. 38, 40
Each number is 2 more than the one before. 36 + 2 = 38 38 + 2 = 40
6. 120, 125
Each number is 5 more than the one before. 115 + 5 = 120 120 + 5 = 125
7. 95, 100
Each number is 5 more than the one before. 90 + 5 = 95 95 + 5 = 100
8. 18, 20
Each number is 2 more than the one before. 16 + 2 = 18 18 + 2 = 20
9. 245, 250
Each number is 5 more than the one before. 240 + 5 = 245 245 + 5 = 250
10. 30, 35
Each number is 5 more than the one before. 25 + 5 = 30 30 + 5 = 35
11. 210, 220
Each number is 10 more than the one before. 200 + 10 = 210 210 + 10 = 220
12. 430, 440
Each number is 10 more than the one before. 420 + 10 = 430 430 + 10 = 440
Worked examples
Count on in 2s: 2, 4, 6, 8, __, __
- Each number is 2 more than the one before.
- 8 + 2 = 10
- 10 + 2 = 12
- Answer: 10, 12
Count on in 5s: 55, 60, 65, 70, __, __
- Each number is 5 more than the one before.
- 70 + 5 = 75
- 75 + 5 = 80
- Answer: 75, 80
Count on in 10s: 200, 210, 220, 230, __, __
- Each number is 10 more than the one before.
- 230 + 10 = 240
- 240 + 10 = 250
- Answer: 240, 250
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.
Every free resource for Counterexamples
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Learn — Meet the idea.
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Frequently asked
- Is this Grade 3 Counterexamples quiz really free?
- Yes. Every quizzes 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 Matrices. Each one has its own free lesson, worksheet and quiz.
- How is the quiz 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 Counterexamples?
- Move on to Algebraic Proof, Proof by Exhaustion, Problem Solving, which build directly on this idea.
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