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Math worksheet with missing operations to solve, featuring an apple logo.

Worksheet titled "Missing Operations" with math problems requiring addition, subtraction, multiplication, or division to complete equations, featuring an apple logo with "Mathematical" text.

Worksheet titled "Missing Operations" with math problems requiring addition, subtraction, multiplication, or division to complete equations, featuring an apple logo with "Mathematical" text.

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Show Answer Key & Explanations Step-by-step solution for: Missing Operations Worksheet :: A Transum Worksheet
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Let's solve each of these missing operations problems step by step. The goal is to determine the correct operation (addition, subtraction, multiplication, or division) that makes each equation true.

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1. (24 □ 9) □ 1 = 217



We need to find two operations such that:

(24 □ 9) □ 1 = 217

Try possible combinations:

- Try multiplication first:
24 × 9 = 216
Then 216 + 1 = 217 ✔

So:
(24 × 9) + 1 = 217

✔ Answer: × and +

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2. 32 □ (5 □ 10) = 480



Try possibilities:

First, compute inside parentheses:
- 5 + 10 = 15 → 32 × 15 = 480 ✔

So:
32 × (5 + 10) = 480

✔ Answer: × and +

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3. (7 □ 2) □ 13 = 18



Try:
- 7 + 2 = 9 → 9 + 13 = 22 ✘
- 7 × 2 = 14 → 14 + 13 = 27 ✘
- 7 × 2 = 14 → 14 + 13 = 27 ✘
- 7 + 2 = 9 → 9 + 13 = 22 ✘
- 7 × 2 = 14 → 14 + 13 = 27 ✘
Wait — try:
- 7 × 2 = 14 → 14 + 13 = 27 ✘
- 7 + 2 = 9 → 9 + 13 = 22 ✘

Wait — maybe:
Try: (7 × 2) = 14, then 14 + 13 = 27 ✘

Try: (7 + 2) = 9, 9 + 13 = 22 ✘

Try: (7 × 2) = 14, 14 + 13 = 27 ✘

Wait — what if it's:
(7 + 2) = 9 → 9 × 2 = 18? But we have 13, not 2.

Wait — try:
(7 × 2) = 14 → 14 + 13 = 27 ✘

Try: (7 + 2) = 9 → 9 + 13 = 22 ✘

Wait — what if:
(7 × 2) = 14 → 14 + 13 = 27 ✘

Hmm.

Try: (7 + 2) = 9 → 9 × 2 = 18, but we have 13.

Wait — maybe:
(7 × 2) = 14 → 14 + 13 = 27 ✘

Wait — perhaps:
(7 + 2) = 9 → 9 × 2 = 18 → but second operand is 13.

Wait — maybe subtraction?

Try: (7 + 2) = 9 → 9 × 2 = 18 → no.

Wait — try:
(7 × 2) = 14 → 14 + 13 = 27 ✘

Wait — try:
(7 + 2) = 9 → 9 + 13 = 22 ✘

Wait — maybe:
(7 × 2) = 14 → 14 + 13 = 27 ✘

Wait — let's reverse:

Suppose result is 18.

What number plus or minus 13 gives 18?

18 - 13 = 5 → so (7 □ 2) must be 5.

So: 7 □ 2 = 5 → 7 - 2 = 5 ✔

Then: (7 - 2) + 13 = 5 + 13 = 18 ✔

So: (7 - 2) + 13 = 18

✔ Answer: - and +

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4. (11 □ 10) □ (12 □ 6) = 19



Try possibilities.

Try:
- 11 + 10 = 21 → 12 ÷ 6 = 2 → 21 - 2 = 19 ✔

So: (11 + 10) - (12 ÷ 6) = 21 - 2 = 19

✔ Answer: +, -, ÷

But we have three boxes. So:
(11 + 10) - (12 ÷ 6) = 19

So: +, -, ÷

✔ Answer: +, -, ÷

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5. (12 □ 18) □ 13 = -78



Try:
12 + 18 = 30 → 30 - 13 = 17 ✘
12 - 18 = -6 → -6 × 13 = -78 ✔

So: (12 - 18) × 13 = (-6) × 13 = -78

✔ Answer: -, ×

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6. 12 □ (20 □ 27) = -84



Try:
20 + 27 = 47 → 12 - 47 = -35 ✘
20 - 27 = -7 → 12 × (-7) = -84 ✔

So: 12 × (20 - 27) = 12 × (-7) = -84

✔ Answer: ×, -

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7. (23 □ 30) □ 17 = -119



Try:
23 + 30 = 53 → 53 - 17 = 36 ✘
23 - 30 = -7 → -7 × 17 = -119 ✔

So: (23 - 30) × 17 = (-7) × 17 = -119

✔ Answer: -, ×

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8. (14 □ 30) □ (21 □ 13) = 1496



Try:
Look at 1496. Let’s see what could multiply to give this.

Try: 14 × 30 = 420 → too small

14 + 30 = 44 → 21 + 13 = 34 → 44 × 34 = ?

44 × 34 = (40+4)(30+4) = 40×30=1200, 40×4=160, 4×30=120, 4×4=16 → total = 1200+160+120+16 = 1496 ✔

So: (14 + 30) × (21 + 13) = 44 × 34 = 1496

✔ Answer: +, ×, +

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9. (39 □ 40) □ 73 = 152



Try:
39 + 40 = 79 → 79 + 73 = 152 ✔

So: (39 + 40) + 73 = 79 + 73 = 152

✔ Answer: +, +

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10. (36 □ 39) □ (30 □ 33) = 4725



Try:
36 × 39 = ? → 36×40 = 1440 → minus 36 = 1404

30 × 33 = 990

1404 × 990 → way too big

Try: 36 + 39 = 75

30 + 33 = 63

75 × 63 = ?

75 × 60 = 4500
75 × 3 = 225
Total = 4500 + 225 = 4725 ✔

So: (36 + 39) × (30 + 33) = 75 × 63 = 4725

✔ Answer: +, ×, +

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✔ Final Answers:



1. (24 × 9) + 1 = 217 → ×, +
2. 32 × (5 + 10) = 480 → ×, +
3. (7 - 2) + 13 = 18 → -, +
4. (11 + 10) - (12 ÷ 6) = 19 → +, -, ÷
5. (12 - 18) × 13 = -78 → -, ×
6. 12 × (20 - 27) = -84 → ×, -
7. (23 - 30) × 17 = -119 → -, ×
8. (14 + 30) × (21 + 13) = 1496 → +, ×, +
9. (39 + 40) + 73 = 152 → +, +
10. (36 + 39) × (30 + 33) = 4725 → +, ×, +

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