Free printable math sheet for 2nd graders to practice their multiplication tables up to 5x5.
2nd grade multiplication worksheet with 30 problems covering facts up to 5x5 and missing number challenges.
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Show Answer Key & Explanations
Step-by-step solution for: printable-multiplication-worksheets-multiplication-to-5x5-6.gif ...
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Show Answer Key & Explanations
Step-by-step solution for: printable-multiplication-worksheets-multiplication-to-5x5-6.gif ...
Let’s solve each problem step by step. We’re looking for missing numbers in multiplication facts, and some problems have addition or subtraction on the right side — we’ll calculate that first, then find the missing number.
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1) 3 x 4 = ___
3 times 4 is 12 → 12
2) ___ x 5 = 20
What times 5 equals 20? 4 × 5 = 20 → 4
3) 2 x ___ = 8
2 times what is 8? 2 × 4 = 8 → 4
4) 3 x ___ = 9
3 times what is 9? 3 × 3 = 9 → 3
5) ___ x 4 = 4
What times 4 is 4? 1 × 4 = 4 → 1
6) ___ x 1 = 1
What times 1 is 1? 1 × 1 = 1 → 1
7) 5 x ___ = 0
5 times what is 0? Only 0 works → 0
8) 12 = 3 x ___
3 times what is 12? 3 × 4 = 12 → 4
9) 6 = 2 x ___
2 times what is 6? 2 × 3 = 6 → 3
10) 16 = ___ x 4
What times 4 is 16? 4 × 4 = 16 → 4
11) 10 = ___ x 2
What times 2 is 10? 5 × 2 = 10 → 5
12) 4 = 1 x ___
1 times what is 4? 1 × 4 = 4 → 4
13) 0 = 3 x ___
3 times what is 0? Only 0 → 0
14) 20 = 4 x ___
4 times what is 20? 4 × 5 = 20 → 5
15) 4 = ___ x 2
What times 2 is 4? 2 × 2 = 4 → 2
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Now the second column — these have + or - on the right. Let’s do those:
16) 2 x ___ = 3 + 3
3 + 3 = 6 → 2 × ? = 6 → 2 × 3 = 6 → 3
17) 4 x ___ = 10 - 2
10 - 2 = 8 → 4 × ? = 8 → 4 × 2 = 8 → 2
18) 3 x ___ = 4 + 5
4 + 5 = 9 → 3 × ? = 9 → 3 × 3 = 9 → 3
19) 1 x ___ = 7 - 4
7 - 4 = 3 → 1 × ? = 3 → 1 × 3 = 3 → 3
20) 5 x ___ = 10 + 5
10 + 5 = 15 → 5 × ? = 15 → 5 × 3 = 15 → 3
21) ___ x 2 = 3 + 7
3 + 7 = 10 → ? × 2 = 10 → 5 × 2 = 10 → 5
22) ___ x 4 = 8 + 8
8 + 8 = 16 → ? × 4 = 16 → 4 × 4 = 16 → 4
23) ___ x 3 = 10 - 7
10 - 7 = 3 → ? × 3 = 3 → 1 × 3 = 3 → 1
24) ___ x 5 = 10 + 10
10 + 10 = 20 → ? × 5 = 20 → 4 × 5 = 20 → 4
25) ___ x 1 = 12 - 7
12 - 7 = 5 → ? × 1 = 5 → 5 × 1 = 5 → 5
26) 3 x ___ = 15 - 3
15 - 3 = 12 → 3 × ? = 12 → 3 × 4 = 12 → 4
27) ___ x 2 = 14 - 6
14 - 6 = 8 → ? × 2 = 8 → 4 × 2 = 8 → 4
28) ___ x 4 = 6 + 6
6 + 6 = 12 → ? × 4 = 12 → 3 × 4 = 12 → 3
29) 5 x ___ = 15 + 10
15 + 10 = 25 → 5 × ? = 25 → 5 × 5 = 25 → 5
30) 2 x ___ = 14 - 12
14 - 12 = 2 → 2 × ? = 2 → 2 × 1 = 2 → 1
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Challenge:
Choose any 2 numbers between 1 and 5 to make:
___ x ___ is an odd number less than 15
First, remember:
- Odd numbers are 1, 3, 5, 7, 9, 11, 13... (not even)
- Less than 15 means up to 13
- Numbers must be from 1 to 5
Let’s try all combinations of two numbers from 1 to 5 and see which products are odd and < 15.
Odd product only happens when BOTH numbers are odd (because even × anything = even).
Odd numbers between 1–5: 1, 3, 5
Try:
- 1 × 1 = 1 → odd, <15 ✔
- 1 × 3 = 3 → odd, <15 ✔
- 1 × 5 = 5 → odd, <15 ✔
- 3 × 1 = 3 → same as above ✔
- 3 × 3 = 9 → odd, <15 ✔
- 3 × 5 = 15 → NOT less than 15 ✘
- 5 × 1 = 5 → same as 1×5 ✔
- 5 × 3 = 15 → too big ✘
- 5 × 5 = 25 → too big ✘
So valid pairs (order matters if we count them separately):
(1,1), (1,3), (1,5), (3,1), (3,3), (5,1)
That’s 6 ways.
But notice: If order doesn’t matter (like 1×3 is same as 3×1), then unique pairs are:
{1,1}, {1,3}, {1,5}, {3,3} → 4 ways
The question says “choose any 2 numbers” — it doesn’t say order matters, but since it writes “__ x __”, maybe order counts.
Also, “what do you notice?” → You notice that to get an odd product, both numbers must be odd. And multiplying larger odds (like 3×5=15) goes over 15, so only small odd numbers work.
Let’s list all ordered pairs that work:
1. 1 × 1 = 1
2. 1 × 3 = 3
3. 1 × 5 = 5
4. 3 × 1 = 3
5. 3 × 3 = 9
6. 5 × 1 = 5
All are odd and less than 15.
So 6 ways.
If they mean unordered pairs, then 4 ways. But since the blank is “__ x __”, probably order matters.
We’ll go with 6 ways.
Notice: Only odd × odd gives odd. Even one even number makes the product even.
Final Answer:
1) 12
2) 4
3) 4
4) 3
5) 1
6) 1
7) 0
8) 4
9) 3
10) 4
11) 5
12) 4
13) 0
14) 5
15) 2
16) 3
17) 2
18) 3
19) 3
20) 3
21) 5
22) 4
23) 1
24) 4
25) 5
26) 4
27) 4
28) 3
29) 5
30) 1
Challenge: 6 ways (if order matters). Notice: Both numbers must be odd to get an odd product.
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1) 3 x 4 = ___
3 times 4 is 12 → 12
2) ___ x 5 = 20
What times 5 equals 20? 4 × 5 = 20 → 4
3) 2 x ___ = 8
2 times what is 8? 2 × 4 = 8 → 4
4) 3 x ___ = 9
3 times what is 9? 3 × 3 = 9 → 3
5) ___ x 4 = 4
What times 4 is 4? 1 × 4 = 4 → 1
6) ___ x 1 = 1
What times 1 is 1? 1 × 1 = 1 → 1
7) 5 x ___ = 0
5 times what is 0? Only 0 works → 0
8) 12 = 3 x ___
3 times what is 12? 3 × 4 = 12 → 4
9) 6 = 2 x ___
2 times what is 6? 2 × 3 = 6 → 3
10) 16 = ___ x 4
What times 4 is 16? 4 × 4 = 16 → 4
11) 10 = ___ x 2
What times 2 is 10? 5 × 2 = 10 → 5
12) 4 = 1 x ___
1 times what is 4? 1 × 4 = 4 → 4
13) 0 = 3 x ___
3 times what is 0? Only 0 → 0
14) 20 = 4 x ___
4 times what is 20? 4 × 5 = 20 → 5
15) 4 = ___ x 2
What times 2 is 4? 2 × 2 = 4 → 2
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Now the second column — these have + or - on the right. Let’s do those:
16) 2 x ___ = 3 + 3
3 + 3 = 6 → 2 × ? = 6 → 2 × 3 = 6 → 3
17) 4 x ___ = 10 - 2
10 - 2 = 8 → 4 × ? = 8 → 4 × 2 = 8 → 2
18) 3 x ___ = 4 + 5
4 + 5 = 9 → 3 × ? = 9 → 3 × 3 = 9 → 3
19) 1 x ___ = 7 - 4
7 - 4 = 3 → 1 × ? = 3 → 1 × 3 = 3 → 3
20) 5 x ___ = 10 + 5
10 + 5 = 15 → 5 × ? = 15 → 5 × 3 = 15 → 3
21) ___ x 2 = 3 + 7
3 + 7 = 10 → ? × 2 = 10 → 5 × 2 = 10 → 5
22) ___ x 4 = 8 + 8
8 + 8 = 16 → ? × 4 = 16 → 4 × 4 = 16 → 4
23) ___ x 3 = 10 - 7
10 - 7 = 3 → ? × 3 = 3 → 1 × 3 = 3 → 1
24) ___ x 5 = 10 + 10
10 + 10 = 20 → ? × 5 = 20 → 4 × 5 = 20 → 4
25) ___ x 1 = 12 - 7
12 - 7 = 5 → ? × 1 = 5 → 5 × 1 = 5 → 5
26) 3 x ___ = 15 - 3
15 - 3 = 12 → 3 × ? = 12 → 3 × 4 = 12 → 4
27) ___ x 2 = 14 - 6
14 - 6 = 8 → ? × 2 = 8 → 4 × 2 = 8 → 4
28) ___ x 4 = 6 + 6
6 + 6 = 12 → ? × 4 = 12 → 3 × 4 = 12 → 3
29) 5 x ___ = 15 + 10
15 + 10 = 25 → 5 × ? = 25 → 5 × 5 = 25 → 5
30) 2 x ___ = 14 - 12
14 - 12 = 2 → 2 × ? = 2 → 2 × 1 = 2 → 1
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Challenge:
Choose any 2 numbers between 1 and 5 to make:
___ x ___ is an odd number less than 15
First, remember:
- Odd numbers are 1, 3, 5, 7, 9, 11, 13... (not even)
- Less than 15 means up to 13
- Numbers must be from 1 to 5
Let’s try all combinations of two numbers from 1 to 5 and see which products are odd and < 15.
Odd product only happens when BOTH numbers are odd (because even × anything = even).
Odd numbers between 1–5: 1, 3, 5
Try:
- 1 × 1 = 1 → odd, <15 ✔
- 1 × 3 = 3 → odd, <15 ✔
- 1 × 5 = 5 → odd, <15 ✔
- 3 × 1 = 3 → same as above ✔
- 3 × 3 = 9 → odd, <15 ✔
- 3 × 5 = 15 → NOT less than 15 ✘
- 5 × 1 = 5 → same as 1×5 ✔
- 5 × 3 = 15 → too big ✘
- 5 × 5 = 25 → too big ✘
So valid pairs (order matters if we count them separately):
(1,1), (1,3), (1,5), (3,1), (3,3), (5,1)
That’s 6 ways.
But notice: If order doesn’t matter (like 1×3 is same as 3×1), then unique pairs are:
{1,1}, {1,3}, {1,5}, {3,3} → 4 ways
The question says “choose any 2 numbers” — it doesn’t say order matters, but since it writes “__ x __”, maybe order counts.
Also, “what do you notice?” → You notice that to get an odd product, both numbers must be odd. And multiplying larger odds (like 3×5=15) goes over 15, so only small odd numbers work.
Let’s list all ordered pairs that work:
1. 1 × 1 = 1
2. 1 × 3 = 3
3. 1 × 5 = 5
4. 3 × 1 = 3
5. 3 × 3 = 9
6. 5 × 1 = 5
All are odd and less than 15.
So 6 ways.
If they mean unordered pairs, then 4 ways. But since the blank is “__ x __”, probably order matters.
We’ll go with 6 ways.
Notice: Only odd × odd gives odd. Even one even number makes the product even.
Final Answer:
1) 12
2) 4
3) 4
4) 3
5) 1
6) 1
7) 0
8) 4
9) 3
10) 4
11) 5
12) 4
13) 0
14) 5
15) 2
16) 3
17) 2
18) 3
19) 3
20) 3
21) 5
22) 4
23) 1
24) 4
25) 5
26) 4
27) 4
28) 3
29) 5
30) 1
Challenge: 6 ways (if order matters). Notice: Both numbers must be odd to get an odd product.
Parent Tip: Review the logic above to help your child master the concept of worksheet for math grades 5 6.