3rd Grade Math Review Packet | Summer Math, Test Prep, Homework ... - Free Printable

Let’s go through each problem step by step. I’ll solve them one at a time, checking my work as I go.

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Problem 1: Multiply Whole Numbers — “Find the product: 50 × 6”

Step 1: Think of 50 as 5 tens.
So, 50 × 6 = (5 × 10) × 6

Step 2: Multiply 5 × 6 first → that’s 30.

Step 3: Then multiply by 10 → 30 × 10 = 300.

✔ Check: 50 + 50 + 50 + 50 + 50 + 50 = 300. Correct!

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Problem 2: Which method shows one way to find 4 × 20?

Options:
A. Multiply 4 × 2, then add 0
B. Multiply 4 × 2, then multiply by 10
C. Multiply 4 × 10, then add 10

Let’s test each:

- A: 4 × 2 = 8, then add 0 → still 8 ✘ Not 80.
- B: 4 × 2 = 8, then × 10 → 80 ✔ That works!
- C: 4 × 10 = 40, then +10 = 50 ✘ Not 80.

Also, the question asks: “How does knowing the product of 3 × 8 help you solve 3 × 80?”

Well, 3 × 8 = 24. So 3 × 80 is just 24 with a zero added → 240. Because 80 is 8 tens.

✔ So answer is B for the multiple choice, and the explanation is: You can use 3×8=24, then make it 240 because 80 is 10 times bigger than 8.

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Problem 3: What is the product of 3 × 80?

As above: 3 × 8 = 24 → so 3 × 80 = 240.

✔ Answer: 240

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Now let’s look at the “Equal Groups Multiplication” worksheet.

Problem 1: Becca collected 6 boxes of seashells. She put 7 seashells in each box. How many seashells did she collect?

This is 6 groups of 7 → 6 × 7 = 42.

✔ Answer: 42

Which equation shows this? Look at options:

A. 6 × 7 → yes
B. 6 + 7 → no, that’s addition
C. 6+6+6+6+6+6+6 → that’s 7 sixes, not 6 sevens
D. 7×7×7×7×7×7 → way too big

✔ So correct choice is A.

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Problem 2: Which equation below is represented in the picture?

Picture shows 4 jars, each with 5 items → 4 groups of 5 → 4 × 5 = 20.

Look at options:

A. 20 × 4 → too big
B. 10 × 2 → 20, but not matching picture
C. 5 × 5 × 5 × 5 → nope
D. 5 + 5 + 5 + 5 → that’s 4 fives → equals 20 ✔

Wait — actually, 5 + 5 + 5 + 5 is repeated addition for 4 × 5. But the question says “which equation”, and D is written as addition.

But also, option E might be missing? In the image, it looks like D is “5 + 5 + 5 + 5” which equals 20, and represents 4 groups of 5.

Alternatively, if there’s an option “4 × 5”, that would be best — but based on what’s visible, D is correct as repeated addition.

Actually, looking again — in the image, under Problem 2, the choices are:

A. 20 × 4
B. 10 × 2
C. 5 × 5 × 5 × 5
D. 5 + 5 + 5 + 5 ← this is 4 fives → 20 → matches 4 jars of 5.

✔ So D is correct.

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Problem 3: Liz has 4 boxes of crayons. Each box contains 8 crayons. Write an expression Liz could use to show the total number of crayons.

That’s 4 groups of 8 → 4 × 8 or 8 + 8 + 8 + 8.

Either is fine, but since it says “expression”, probably 4 × 8.

✔ Answer: 4 × 8

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Now, “Add & Subtract Whole Numbers”

Problem 1: Find the sum: 72 + 29

72 + 20 = 92
92 + 9 = 101

✔ Answer: 101

Problem 2: Find the difference: 62 - 38

62 - 30 = 32
32 - 8 = 24

Or: 62 - 38 → borrow: 12 - 8 = 4, 5 - 3 = 2 → 24

✔ Answer: 24

Problem 3: Find the missing number: 57 + ___ = 82

82 - 57 = ?

82 - 50 = 32
32 - 7 = 25

Check: 57 + 25 = 82 ✔

✔ Answer: 25

Problem 5: Find the difference: 347 - 262

347 - 200 = 147
147 - 60 = 87
87 - 2 = 85

Or column subtraction:

347
- 262
_____
Start from right: 7-2=5
4-6 → can’t, borrow → 14-6=8, then 2-2=0 → wait, hundreds: 3 becomes 2 after borrow? Let me do it properly.

Actually:

Hundreds: 3 - 2 = 1, but we need to borrow for tens.

Tens: 4 < 6 → borrow from hundreds. So hundreds become 2, tens become 14.

14 - 6 = 8

Ones: 7 - 2 = 5

So result is 85.

✔ Answer: 85

Problem 6: Find the missing number: 423 + ___ = 705

705 - 423 = ?

705 - 400 = 305
305 - 20 = 285
285 - 3 = 282

Check: 423 + 282 = 705?
400+200=600, 23+82=105 → 600+105=705 ✔

✔ Answer: 282

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Now, “Word Problems Using Multiplication & Division”

Problem 1: Matt is preparing envelopes. It takes him 2 minutes per envelope. How long for 16 envelopes?

16 × 2 = 32 minutes

✔ Answer: C. 32 minutes

Problem 2: Eight hotdogs come in a pack. Kate used: 8 + 8 + 8 + 8 + 8 + 8 + 8 = ___ to find hotdogs in 7 packs.

That’s 7 eights → 7 × 8 = 56

She needs to finish the equation: 8 × 7 = 56

The blank is for the multiplication fact: ___ × ___ = ___

So: 8 × 7 = 56

✔ Answer: 8 × 7 = 56

Problem 3: Scott has 56 pieces of candy to share evenly among 8 friends. How many each?

56 ÷ 8 = 7

✔ Answer: A. 6 pieces? Wait, options:

A. 6
B. 7
C. 8
D. 9

✔ So B. 7 pieces

Problem 4: Ladybug has 6 legs. Equation for 5 ladybugs?

5 × 6 = 30 legs

Option A: 5 × 5 = 25 ✘
No other options shown clearly, but likely A is wrong. Wait, in the image, it says:

“A. 5 × 5 = 25” — that’s incorrect.

Probably the correct choice isn't listed here? Or maybe I misread.

Looking back — in the image, for problem 4, it says:

“Which equation shows the number of legs on 5 ladybugs?”

And option A is “5 × 5 = 25” — which is wrong.

But perhaps there are more options? In the original image, it might have been cut off. Assuming standard, it should be 5 × 6 = 30.

Since only A is visible and it's wrong, maybe it's a trick? But logically, it must be 5 × 6.

Perhaps in the full worksheet, option B is 5 × 6. Since we don’t see it, I’ll assume the correct answer is 5 × 6 = 30.

But for now, based on given, if only A is shown and it’s wrong, maybe skip? No — let’s think.

Actually, in the user’s image, for problem 4, it says:

“A. 5 × 5 = 25” — and that’s the only option visible? That can’t be right.

Wait — looking at the OCR or image description, perhaps it’s incomplete. To be accurate, the correct equation is 5 × 6 = 30.

I’ll note that.

Problem 5: Michael bought 6 video games for $42. Price per game?

$42 ÷ 6 = $7

But options say:

A. $6
B. $7? Not listed? Wait, in image:

“A. $6” — probably others are cut off. Logically, 42 ÷ 6 = 7.

So answer should be $7.

Problem 6: Tara places 4 bowls, puts 4 scoops in each. Total scoops?

4 × 4 = 16

Options: A. 4 scoops? Probably not. Likely 16.

In image, it says “A. 4 scoops” — again, probably incomplete. Correct is 16.

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Now, “Unknown Whole Numbers”

These are fill-in-the-blank equations.

Problem 1: 9 × __ = 27

27 ÷ 9 = 3 → so 3

✔ Answer: 3

Problem 2: 36 ÷ __ = 6

36 ÷ 6 = 6 → so divisor is 6

Because 36 ÷ 6 = 6

✔ Answer: 6

Problem 3: __ × 4 = 40

40 ÷ 4 = 10

✔ Answer: 10

Problem 4: __ ÷ 3 = 7

7 × 3 = 21

✔ Answer: 21

Problem 5: 10 × __ = 20

20 ÷ 10 = 2

✔ Answer: 2

Problem 6: 5 × __ = 45

45 ÷ 5 = 9

✔ Answer: 9

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Finally, “Equal Groups Division”

Problem 1: Which equation is shown by the picture?

Picture shows 2 groups of 4 leaves? Or 4 groups of 2?

In image: two circles, each with 4 leaves → so 2 groups of 4 → total 8.

Equations given:

8 ÷ 2 = 4
8 ÷ 4 = 2
4 ÷ 2 = 2
4 ÷ 4 = 1

If picture shows 8 leaves divided into 2 equal groups → 8 ÷ 2 = 4

✔ So first option: 8 ÷ 2 = 4

Problem 2: Mr. Richards has $5 to divide equally between 3 children. Which equation?

He wants to split $5 among 3 kids → 5 ÷ 3

But options:

A. 5 + 3 = 8
B. 5 - 3 = 2
C. 5 × 3 = 15
D. 5 × 3 = 15? Wait, same as C?

In image: D is “5 × 3 = 15” — but that’s multiplication.

Actually, dividing money equally is division: 5 ÷ 3.

But none of the options show division? That’s odd.

Perhaps it’s about how much each gets, but the equation to find it is 5 ÷ 3.

Maybe the question is which operation, but options are all basic ops.

Looking again — in the image, for problem 2, it says:

“Which equation could Mr. Richards use to find out how much money each of his children should receive?”

And options are:

A. 5 + 3 = 8
B. 5 - 3 = 2
C. 5 × 3 = 15
D. 5 × 3 = 15 — duplicate?

That doesn’t make sense. Perhaps it’s a typo, and D should be 5 ÷ 3.

But since it’s not, maybe the intended answer is not listed. However, logically, it should be division.

Perhaps in context, they mean the total is 5, divided by 3, so equation is 5 ÷ 3 = ?

But since no division option, maybe it’s a mistake. I’ll assume the correct mathematical approach is 5 ÷ 3.

For now, skip or note.

Problem 3: Amanda has 6 popsicles to give to 7 girls including herself. How many each?

Total people: 7 (including herself)

Popsicles: 6

So 6 ÷ 7 = less than 1 each. But probably they expect fraction or something.

Options not fully visible, but likely it’s 6 ÷ 7.

In image, it says “how many popsicles will each girl get?” — so 6/7 each.

But perhaps the equation is 6 ÷ 7.

Again, options may not show it.

To summarize all answers clearly:

From "Multiply Whole Numbers":
- 50 × 6 = 300
- Method for 4×20: B (multiply 4×2 then ×10)
- Product of 3×80: 240

From "Equal Groups Multiplication":
- Becca: 6×7=42, equation A
- Picture: 4 jars of 5 → D (5+5+5+5)
- Liz: 4×8

From "Add & Subtract":
- 72+29=101
- 62-38=24
- 57+?=82 → 25
- 347-262=85
- 423+?=705 → 282

From "Word Problems":
- Matt: 32 min (C)
- Kate: 8×7=56
- Scott: 7 pieces (B)
- Ladybug: 5×6=30 (not listed, but correct)
- Michael: $7 per game
- Tara: 16 scoops

From "Unknown Numbers":
- 9×3=27
- 36÷6=6
- 10×4=40
- 21÷3=7
- 10×2=20
- 5×9=45

From "Equal Groups Division":
- Picture: 8÷2=4
- Mr. Richards: should be 5÷3, but not in options
- Amanda: 6÷7

Since the user asked to solve the problems, and some are multiple choice, I'll list the final answers for each visible problem.

But to keep it clean, I'll provide the numerical answers where applicable.

Final Answer:
For the multiplication problem 50 × 6: 300
For 3 × 80: 240
For Becca's seashells: 42
For 72 + 29: 101
For 62 - 38: 24
For 57 + ? = 82: 25
For 347 - 262: 85
For 423 + ? = 705: 282
For Matt's time: 32 minutes
For Scott's candy: 7 pieces
For unknowns: 3, 6, 10, 21, 2, 9 respectively
For division picture: 8 ÷ 2 = 4

Note: Some problems had incomplete options in the image, so I provided the mathematically correct answers.