5th Grade Math Worksheet - Day 1

Let’s solve each problem one by one, step by step.

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Problem 1: Select the two correct statements.

We need to check each option:

A. Product of 2/5 and 4 → (2/5) × 4 = 8/5 = 1.6 → Is 1.6 > 4? No → False
B. Is 1.6 < 2/5? 2/5 = 0.4 → 1.6 < 0.4? No → False
C. Is 1.6 > 1 1/2? 1 1/2 = 1.5 → 1.6 > 1.5 → YES → True ✔
D. Product of 1⅕ and 5 → 1⅕ = 6/5 → (6/5) × 5 = 6 → Is 6 < 5? No → False
E. Product of 13/4 and 5/2 → (13×5)/(4×2) = 65/8 = 8.125 → Is 8.125 > 13/4? 13/4 = 3.25 → Yes → True ✔
F. Product of 13/4 and 5/2 = 65/8 = 8.125 → Is 8.125 < 5/2? 5/2 = 2.5 → No → False

✔ Correct answers: C and E

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Problem 2: April sold 1/4 on Monday and 2/5 on Tuesday. What fraction total?

Add fractions: 1/4 + 2/5

Find common denominator → LCM of 4 and 5 is 20.

1/4 = 5/20
2/5 = 8/20
Total = 5/20 + 8/20 = 13/20

✔ Answer: 13/20

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Problem 3: Which expression equals 3/12?

Simplify 3/12 → divide numerator and denominator by 3 → 1/4

Now check options:

A. 12 × 3 = 36 → no
B. 3 ÷ 12 = 3/12 = 1/4 → YES ✔
C. 12 ÷ 3 = 4 → no
D. 3 ÷ 12 = same as B → also 1/4 → but wait, let's read carefully.

Wait — both B and D say “3 ÷ 12”? Let me check original:

Looking back at image text:

> 3. Which expression is equal to 3/12?
> A. 12 × 3
> B. 3 ÷ 12
> C. 12 ÷ 3
> D. 3 ÷ 12 ← Wait, that can’t be right — probably typo in transcription?

Actually, looking again — likely D was meant to be something else, but according to what’s written, B and D are identical.

But in standard tests, only one answer is correct. Since 3 ÷ 12 = 3/12, that’s correct.

Possibly D was supposed to be “12 ÷ 3” or other — but based on given, B is correct.

Wait — maybe it’s a trick? Let me re-read user input:

User wrote:

> 3. Which expression is equal to 3/12?
> A. 12 × 3
> B. 3 ÷ 12
> C. 12 ÷ 3
> D. 3 ÷ 12

That seems like a copy error. But assuming it’s accurate, then B and D are same. But since question says “which expression”, singular, likely only one intended.

In reality, 3 ÷ 12 = 3/12 → so B is correct.

Perhaps D was meant to be “12 ÷ 3” — which is 4 — not equal.

So we’ll go with B.

But wait — let’s think: 3/12 means 3 divided by 12 → so yes, 3 ÷ 12.

✔ Answer: B

*(Note: If this were real test, might flag duplicate, but for now, pick B)*

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Problem 4: Map is 1/4 meter wide and 3/4 meter long. Area?

Area = width × length = (1/4) × (3/4) = 3/16 square meters

✔ Answer: 3/16

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Problem 5: Kevin has 8 feet ribbon. Uses 2/5 foot per bookmark. How many bookmarks?

Divide total ribbon by amount per bookmark:

8 ÷ (2/5) = 8 × (5/2) = 40/2 = 20

✔ Answer: 20 ribbons

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Problem 6: Solve 0.35 × 1.4

Multiply:

First, ignore decimals: 35 × 14 = ?

35 × 10 = 350
35 × 4 = 140
Total = 350 + 140 = 490

Now count decimal places: 0.35 has 2, 1.4 has 1 → total 3 decimal places

So 490 → move decimal 3 left → 0.490 → which is 0.49

✔ Answer: 0.49

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Problem 7: Coordinate plane — points A(2,7), B(8,7), C(8,0). Find point to complete rectangle.

Plotting:

- A is at x=2, y=7
- B is at x=8, y=7 → same height as A → horizontal line
- C is at x=8, y=0 → directly below B

To make rectangle, fourth point should be directly below A, same x as A, same y as C → so (2, 0)

Check: from A(2,7) down to (2,0), and from C(8,0) left to (2,0) — yes, forms rectangle.

✔ Answer: (2, 0)

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Problem 8: Which number makes inequality true? 3,568.243 > _______

Look at options:

A. 3,568.234 → compare: 3,568.243 vs 3,568.234 → 243 > 234 → TRUE
B. 3,568.432 → 243 < 432 → FALSE
C. 3,568.342 → 243 < 342 → FALSE
D. 3,568.324 → 243 < 324 → FALSE

Only A is less than 3,568.243

✔ Answer: A

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Problem 9: Samuel needs 243 feet wood. Comes in 8-foot pieces. How many pieces to buy?

Divide: 243 ÷ 8 = ?

8 × 30 = 240 → remainder 3

So he needs 30 full pieces (240 ft) plus 1 more piece for the remaining 3 ft → total 31 pieces

Even though last piece isn't fully used, he must buy whole pieces.

✔ Answer: 31

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Problem 10: Round each decimal to nearest whole number.

Rules: if decimal part ≥ 0.5, round up; else round down.

- 6.24 → 0.24 < 0.5 → rounds to 6
- 6.54 → 0.54 ≥ 0.5 → rounds to 7
- 6.79 → 0.79 ≥ 0.5 → rounds to 7
- 6.08 → 0.08 < 0.5 → rounds to 6

Fill table:

| | 6 | 7 |
|-------|-----|-----|
| 6.24 | ☑️ | |
| 6.54 | | ☑️ |
| 6.79 | | ☑️ |
| 6.08 | ☑️ | |

✔ Answers:
6.24 → 6
6.54 → 7
6.79 → 7
6.08 → 6

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## Final Answer:

1. C and E
2. 13/20
3. B
4. 3/16
5. 20
6. 0.49
7. (2, 0)
8. A
9. 31
10.
- 6.24 → 6
- 6.54 → 7
- 6.79 → 7
- 6.08 → 6