Grade 3 Math Diagnostic Test focusing on place value, addition, and subtraction.

Let's go through each question on the math test practice worksheet step by step and solve them with explanations.

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1. How many boys are behind the second boy?

Image Description: There are 6 boys in a line, running from left to right. The second boy is the one with red hair and a red shirt.

- Counting from the front:
- 1st boy: green shirt
- 2nd boy: red shirt (this is the "second boy")
- Behind him are: 3rd, 4th, 5th, and 6th boys → that’s four boys.

✔ Answer: B. Four

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2. Which is the number 548 in expanded form?

Expanded form means breaking down the number by place value:

- 548 = 500 (hundreds) + 40 (tens) + 8 (ones)

✔ Answer: C. 500 + 40 + 8

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3. Which is the standard form of 20,000 + 300 + 40 + 8?

Add the numbers:

- 20,000 + 300 = 20,300
- 20,300 + 40 = 20,340
- 20,340 + 8 = 20,348

✔ Answer: B. 20,348

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4. Which statement is true?

Check each option:

- A. 5,678 > 4,321 → True (5,678 is greater than 4,321)
- B. 2,300 > 6,782 → False (2,300 is less than 6,782)
- C. 555 = 5,555 → False (not equal)
- D. 6,453 < 3,546 → False (6,453 is greater)

Only A is correct.

✔ Answer: A. 5,678 > 4,321

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5. What is the value of the underlined digit in 457,293?

The number is: 457,293

We need to know which digit is underlined. Since the image isn't visible here, we assume it's 7, which is in the hundreds place.

- 7 is in the hundreds place → value = 7 × 100 = 700

So, the value is seven hundred.

✔ Answer: C. seven hundred

*(Note: If a different digit were underlined, this would change. But based on common test patterns, 7 is likely the underlined digit.)*

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6. Use mental math to add: 43 + 26

Break it down:

- 43 + 20 = 63
- 63 + 6 = 69

✔ Answer: C. 69

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7. 40 - 22 = ?

Subtract:

- 40 - 20 = 20
- 20 - 2 = 18

✔ Answer: A. 18

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8. Compare: 20 + 3 ___ 32 - 5

Calculate both sides:

- Left: 20 + 3 = 23
- Right: 32 - 5 = 27

Now compare: 23 ___ 27 → 23 < 27

✔ Answer: A. <

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9. A farm has 397 orange trees and 208 apple trees. Which is the best estimate of the total number of trees?

Estimate:

- 397 ≈ 400
- 208 ≈ 200

So, total ≈ 400 + 200 = 600

Now check options:

- A. 300 + 200 = 500 → too low
- B. 400 + 300 = 700 → a bit high
- C. 400 + 200 = 600 → good estimate
- D. 300 + 400 = 700 → same as B

Best estimate is 400 + 200

✔ Answer: C. 400 + 200

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✔ Final Answers:

1. B. Four
2. C. 500 + 40 + 8
3. B. 20,348
4. A. 5,678 > 4,321
5. C. seven hundred
6. C. 69
7. A. 18
8. A. <
9. C. 400 + 200

Let me know if you'd like a printable version or further explanation!