Let’s solve each problem step by step. We’ll go one at a time, left column first, then right column.
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Left Column:
1.
□ × 4 ÷ 7 = 4
Multiply both sides by 7: □ × 4 = 28
Divide both sides by 4: □ = 7
✔ Check: 7 × 4 = 28; 28 ÷ 7 = 4 → Correct.
2.
□ + 4 × 5 = 24
First do multiplication: 4 × 5 = 20
So: □ + 20 = 24
Subtract 20: □ = 4
✔ Check: 4 + 20 = 24 → Correct.
3.
12 - 54 □ = 3
Let’s isolate the division part:
12 - (54 ÷ □) = 3
So: 54 ÷ □ = 12 - 3 = 9
Then: □ = 54 ÷ 9 = 6
✔ Check: 54 ÷ 6 = 9; 12 - 9 = 3 → Correct.
4.
□ × 5 + 5 = 30
Subtract 5 from both sides: □ × 5 = 25
Divide by 5: □ = 5
✔ Check: 5 × 5 = 25; 25 + 5 = 30 → Correct.
5.
□ × 3 ÷ 2 = 6
Multiply both sides by 2: □ × 3 = 12
Divide by 3: □ = 4
✔ Check: 4 × 3 = 12; 12 ÷ 2 = 6 → Correct.
6.
20 - □ ÷ 4 = 18
Subtract 20 from both sides? Wait — better to rearrange:
20 - (□ ÷ 4) = 18
So: □ ÷ 4 = 20 - 18 = 2
Then: □ = 2 × 4 = 8
✔ Check: 8 ÷ 4 = 2; 20 - 2 = 18 → Correct.
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Right Column:
7.
12 - □ ÷ 2 = 10
Rearrange: □ ÷ 2 = 12 - 10 = 2
So: □ = 2 × 2 = 4
✔ Check: 4 ÷ 2 = 2; 12 - 2 = 10 → Correct.
8.
5 + □ 7 = 6
Subtract 5: □ ÷ 7 = 1
So: □ = 7
✔ Check: 7 ÷ 7 = 1; 5 + 1 = 6 → Correct.
9.
□ × 3 + 5 = 20
Subtract 5: □ × 3 = 15
Divide by 3: □ = 5
✔ Check: 5 × 3 = 15; 15 + 5 = 20 → Correct.
10.
6 × □ ÷ 2 = 21
Multiply both sides by 2: 6 × □ = 42
Divide by 6: □ = 7
✔ Check: 6 × 7 = 42; 42 ÷ 2 = 21 → Correct.
11.
15 - □ × 3 = 3
Rearrange: □ × 3 = 15 - 3 = 12
So: □ = 12 ÷ 3 = 4
✔ Check: 4 × 3 = 12; 15 - 12 = 3 → Correct.
12.
□ + 4 ÷ 4 = 2
Do division first: 4 ÷ 4 = 1
So: □ + 1 = 2
Therefore: □ = 1
✔ Check: 1 + 1 = 2 → Correct.
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All answers verified.
Final Answer:
7, 4, 6, 5, 4, 8, 4, 7, 5, 7, 4, 1
Parent Tip: Review the logic above to help your child master the concept of number operations worksheet.
