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Grade 3 Math Diagnostic Test: Place Value, Addition, and Subtraction Practice

Math worksheet for Grade 3 focusing on place value, addition, and subtraction, featuring multiple-choice questions and a colorful illustration of children.

Math worksheet for Grade 3 focusing on place value, addition, and subtraction, featuring multiple-choice questions and a colorful illustration of children.

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Show Answer Key & Explanations Step-by-step solution for: Third Grade Math Test Practice Worksheet
Here are the step-by-step solutions for each problem on the worksheet.

1. How many boys are behind the second boy?
* Look at the line of boys.
* Find the second boy from the front (the one with red hair).
* Count how many boys are standing behind him in the line.
* There is a boy in purple, a boy in yellow, a girl, and a boy in blue. That makes 4 people behind him.
* Answer: B. Four

2. Which is the number 548 in expanded form?
* Break down the number by place value:
* The 5 is in the hundreds place ($500$).
* The 4 is in the tens place ($40$).
* The 8 is in the ones place ($8$).
* Put them together: $500 + 40 + 8$.
* Answer: C. $500 + 40 + 8$

3. Which is the standard form?
* Add the numbers together: $20,000 + 300 + 40 + 8$.
* Start with the largest number: $20,000$.
* Add $300$: $20,300$.
* Add $40$: $20,340$.
* Add $8$: $20,348$.
* Answer: B. $20,348$

4. Which statement is true?
* Check each option:
* A. $5,678 > 4,321$: Is 5 thousand bigger than 4 thousand? Yes. This is true.
* B. $2,300 > 6,782$: Is 2 thousand bigger than 6 thousand? No.
* C. $555 = 5,555$: These numbers are not equal. No.
* D. $6,453 < 3,546$: Is 6 thousand smaller than 3 thousand? No.
* Answer: A. $5,678 > 4,321$

5. What is the value of the underlined digit in 4<u>5</u>7,293?
* Identify the place value of the digit 5.
* Counting from the right: 3 (ones), 9 (tens), 2 (hundreds), 7 (thousands), 5 (ten thousands).
* Wait, let me look closer at the options. The options are Seven, Seventy, Seven Hundred, Seven Thousand.
* Let's re-read the question carefully. "What is the value of the underlined digit in 45<u>7</u>,293?"
* Ah, looking at the image again, the underline is under the 7.
* The 7 is in the thousands place.
* Therefore, its value is seven thousand.
* Answer: D. seven thousand

6. Use mental math to add: $43 + 26$
* Add the ones: $3 + 6 = 9$.
* Add the tens: $40 + 20 = 60$.
* Combine them: $60 + 9 = 69$.
* Answer: C. $69$

7. Subtract: $40 - 22$
* You can count back or use subtraction.
* $40 - 20 = 20$.
* Now subtract the remaining 2: $20 - 2 = 18$.
* Answer: A. $18$

8. Compare. Use $<, >, =$, or $+$.
* Solve the left side: $20 + 3 = 23$.
* Solve the right side: $32 - 5 = 27$.
* Compare the results: Is $23$ less than, greater than, or equal to $27$?
* $23$ is less than $27$.
* Answer: A. $<$

9. A farm has 397 orange trees and 208 apple trees. Which is the best estimate of the total number of trees on the farm?
* Round each number to the nearest hundred to make it easy to add.
* $397$ is very close to $400$.
* $208$ is very close to $200$.
* The best estimate uses these rounded numbers: $400 + 200$.
* Answer: C. $400 + 200$

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Final Answer:
1. B
2. C
3. B
4. A
5. D
6. C
7. A
8. A
9. C
Parent Tip: Review the logic above to help your child master the concept of math for third graders worksheet.
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