Free Grade 3 Working with Mental Math Quizzes
Free Grade 3 quizzes for Working with Mental Math: 12 real questions with a full answer key and worked solutions. The position of a digit decides its value. In 4,382 the 3 is worth 300 because it is in the hundreds column. Each column is worth ten times the one to its right.
Free
Core
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with mental math
Identify working with mental math accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with mental math
Explain working with mental math accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with mental math
Calculate working with mental math accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with mental math
Compare working with mental math 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 Mental Math works
The position of a digit decides its value. In 4,382 the 3 is worth 300 because it is in the hundreds column. Each column is worth ten times the one to its right.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.What is the value of the digit 7 in 772?[1]
- 2.What is the value of the digit 3 in 387?[1]
- 3.What is the value of the digit 4 in 264?[1]
- 4.What is the value of the digit 7 in 573?[1]
- 5.What is the value of the digit 6 in 3,614?[2]
- 6.What is the value of the digit 0 in 1,077?[2]
- 7.What is the value of the digit 4 in 9,540?[2]
- 8.What is the value of the digit 0 in 5,903?[2]
- 9.What is the value of the digit 5 in 567,826?[3]
- 10.What is the value of the digit 8 in 294,078?[3]
- 11.What is the value of the digit 4 in 33,446?[3]
- 12.What is the value of the digit 9 in 404,962?[3]
Show answers and working
1. 70
Count places from the right: the 7 sits in the tens column. 7 × 10 = 70
2. 300
Count places from the right: the 3 sits in the hundreds column. 3 × 100 = 300
3. 4
Count places from the right: the 4 sits in the ones column. 4 × 1 = 4
4. 70
Count places from the right: the 7 sits in the tens column. 7 × 10 = 70
5. 600
Count places from the right: the 6 sits in the hundreds column. 6 × 100 = 600
6. 0
Count places from the right: the 0 sits in the hundreds column. 0 × 100 = 0
7. 40
Count places from the right: the 4 sits in the tens column. 4 × 10 = 40
8. 0
Count places from the right: the 0 sits in the tens column. 0 × 10 = 0
9. 500,000
Count places from the right: the 5 sits in the hundred thousands column. 5 × 100,000 = 500,000
10. 8
Count places from the right: the 8 sits in the ones column. 8 × 1 = 8
11. 400
Count places from the right: the 4 sits in the hundreds column. 4 × 100 = 400
12. 900
Count places from the right: the 9 sits in the hundreds column. 9 × 100 = 900
Worked examples
What is the value of the digit 4 in 418?
- Count places from the right: the 4 sits in the hundreds column.
- 4 × 100 = 400
- Answer: 400
What is the value of the digit 1 in 1,413?
- Count places from the right: the 1 sits in the tens column.
- 1 × 10 = 10
- Answer: 10
What is the value of the digit 3 in 332,381?
- Count places from the right: the 3 sits in the hundreds column.
- 3 × 100 = 300
- Answer: 300
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Gives the digit instead of its value (says 3 instead of 300).
Correction: Ask: how many hundreds is that? Then write it as a full number.
Forgets zero as a placeholder (writes 4,050 as 45).
Correction: Use a place-value chart and fill every empty column with 0.
Teacher tips
- · Build numbers with base-ten blocks before writing them.
Parent tips
- · Read big numbers on receipts and ask what each digit is worth.
Real-life applications
- · Reading prices, house numbers and big numbers in the news.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Working with Mental Math
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Frequently asked
- Is this Grade 3 Working with Mental Math 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 Introducing Mental Math, Estimation. 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 Working with Mental Math?
- Move on to Mental Math in Context, Reading Whole Numbers, Place Value, Digits, which build directly on this idea.
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