Free Grade 3 Introducing Mental Math Flashcards
Free Grade 3 flashcards for Introducing 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
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35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing mental math
Identify introducing mental math accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing mental math
Explain introducing mental math accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing mental math
Calculate introducing mental math accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing mental math
Compare introducing 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 Introducing 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 5 in 150?[1]
- 2.What is the value of the digit 3 in 438?[1]
- 3.What is the value of the digit 9 in 931?[1]
- 4.What is the value of the digit 2 in 882?[1]
- 5.What is the value of the digit 9 in 9,396?[2]
- 6.What is the value of the digit 2 in 1,926?[2]
- 7.What is the value of the digit 4 in 4,663?[2]
- 8.What is the value of the digit 9 in 9,719?[2]
- 9.What is the value of the digit 9 in 718,497?[3]
- 10.What is the value of the digit 5 in 596,805?[3]
- 11.What is the value of the digit 4 in 842,433?[3]
- 12.What is the value of the digit 4 in 388,045?[3]
Show answers and working
1. 50
Count places from the right: the 5 sits in the tens column. 5 × 10 = 50
2. 30
Count places from the right: the 3 sits in the tens column. 3 × 10 = 30
3. 900
Count places from the right: the 9 sits in the hundreds column. 9 × 100 = 900
4. 2
Count places from the right: the 2 sits in the ones column. 2 × 1 = 2
5. 9,000
Count places from the right: the 9 sits in the thousands column. 9 × 1,000 = 9,000
6. 20
Count places from the right: the 2 sits in the tens column. 2 × 10 = 20
7. 4,000
Count places from the right: the 4 sits in the thousands column. 4 × 1,000 = 4,000
8. 9
Count places from the right: the 9 sits in the ones column. 9 × 1 = 9
9. 90
Count places from the right: the 9 sits in the tens column. 9 × 10 = 90
10. 500,000
Count places from the right: the 5 sits in the hundred thousands column. 5 × 100,000 = 500,000
11. 400
Count places from the right: the 4 sits in the hundreds column. 4 × 100 = 400
12. 40
Count places from the right: the 4 sits in the tens column. 4 × 10 = 40
Worked examples
What is the value of the digit 6 in 960?
- Count places from the right: the 6 sits in the tens column.
- 6 × 10 = 60
- Answer: 60
What is the value of the digit 7 in 7,301?
- Count places from the right: the 7 sits in the thousands column.
- 7 × 1,000 = 7,000
- Answer: 7,000
What is the value of the digit 2 in 221,429?
- Count places from the right: the 2 sits in the hundred thousands column.
- 2 × 100,000 = 200,000
- Answer: 200,000
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.
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Frequently asked
- Is this Grade 3 Introducing Mental Math 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 Estimation. 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 Introducing Mental Math?
- Move on to Working with Mental Math, Mental Math in Context, Reading Whole Numbers, Place Value, which build directly on this idea.
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