Middle School Math Moments (and more!): Problem of the Week, # 5 ... - Free Printable

Let’s solve Puzzle #27 step by step — it’s a math crossword puzzle with both “Across” and “Down” clues. We’ll fill in the grid using arithmetic, time calculations, and basic math operations.

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## 🔢 ACROSS CLUES

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1. 150, 161, ___, 183, 194, 205...

This is an arithmetic sequence.
Check differences:
161 - 150 = 11
194 - 183 = 11
205 - 194 = 11 → So common difference = 11
So missing number = 161 + 11 = 172

✔ Answer: 172

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4. 1824 divided by 12 = ___

1824 ÷ 12 = 152

✔ Answer: 152

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6. 4 hours = ___ minutes

1 hour = 60 minutes → 4 × 60 = 240

✔ Answer: 240

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7. Bill started work at 8:00 a.m. He worked for 6½ hours before he took a break. What time did he take his break?

8:00 a.m. + 6 hours = 2:00 p.m.
+ 30 minutes = 2:30 p.m.

✔ Answer: 2:30 p.m.

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8. Round 866 to the nearest 10.

Look at units digit: 6 ≥ 5 → round up → 870

✔ Answer: 870

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10. (12 – 7) X 63 = ___

(5) × 63 = 315

✔ Answer: 315

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12. 7,000 + 600 + 50 + 4 = ___

7000 + 600 = 7600
7600 + 50 = 7650
7650 + 4 = 7654

✔ Answer: 7654

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14. 60 X 25 = ___

60 × 25 = (6 × 25) × 10 = 150 × 10 = 1500

✔ Answer: 1500

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15. (129 X 2) X 2 = ___

First: 129 × 2 = 258
Then: 258 × 2 = 516

✔ Answer: 516

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17. Angela went to bed at 8:30 p.m. She slept for 8 hours and 45 minutes. What time did she wake up?

8:30 p.m. + 8 hours = 4:30 a.m.
+ 45 minutes = 5:15 a.m.

✔ Answer: 5:15 a.m.

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19. 554 divided by 2 = ___

554 ÷ 2 = 277

✔ Answer: 277

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21. 11 X 11 = ___

11² = 121

✔ Answer: 121

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22. The train was scheduled to leave at 6:10 p.m. It left 1 hour and 30 minutes late. What time did it leave?

6:10 p.m. + 1 hour = 7:10 p.m.
+ 30 minutes = 7:40 p.m.

✔ Answer: 7:40 p.m.

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23. 22 Across – 7 Across = ___

From above:
- 22 Across = 7:40 p.m. → we need to convert this to minutes past midnight or just use the *time value* as a number? But that doesn’t make sense.

Wait — look at clue 23 again:
> 22 Across – 7 Across = ___

But 22 Across is 7:40 p.m. and 7 Across is 2:30 p.m. — these are times, not numbers.

However, in crossword puzzles like this, sometimes they expect you to treat the *time* as a numerical value — e.g., 7:40 becomes 740, 2:30 becomes 230.

Let’s test that:

740 – 230 = 510

That fits the grid (3-digit number). Also, 510 appears elsewhere? Not necessarily — but let’s check if it makes sense.

Alternatively, maybe it's asking for the *difference in time*:
7:40 p.m. – 2:30 p.m. = 5 hours 10 minutes → which is 5:10 — but that’s not a number.

Given the format of the puzzle and other answers being numbers, likely they want 740 – 230 = 510

✔ Answer: 510

*(Note: This is a bit ambiguous, but 510 is the only reasonable numerical answer given the context.)*

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## ⬇️ DOWN CLUES

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1. (5 X 15) + 37 = ___

5 × 15 = 75
75 + 37 = 112

✔ Answer: 112

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2. School starts at 7:50 a.m. The school day is 6 hours and 30 minutes long. What time does school get out?

7:50 a.m. + 6 hours = 1:50 p.m.
+ 30 minutes = 2:20 p.m.

✔ Answer: 2:20 p.m.

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3. 47 X 43 = ___

Use multiplication:
47 × 43 = (50 - 3)(40 + 3) = or just multiply directly:

47 × 40 = 1880
47 × 3 = 141
Total = 1880 + 141 = 2021

✔ Answer: 2021

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4. 1 dollar + 7 nickels + 3 pennies = ___ cents

1 dollar = 100 cents
7 nickels = 7 × 5 = 35 cents
3 pennies = 3 cents
Total = 100 + 35 + 3 = 138 cents

✔ Answer: 138

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5. 4½ minutes = ___ seconds

4.5 × 60 = 270 seconds

✔ Answer: 270

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9. 7,000 + ___ + 70 + 7 = 7,777

We have: 7000 + x + 70 + 7 = 7777
→ x = 7777 - 7000 - 70 - 7 = 7777 - 7077 = 700

✔ Answer: 700

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10. Stan watches TV on Saturday from 8:00 a.m. to 11:45 a.m. He watches TV for a total of ___ hours and ___ minutes.

From 8:00 to 11:45 = 3 hours 45 minutes

✔ Answer: 3 hours and 45 minutes

*(In grid, likely written as “3 45” or “345” — but since it’s two blanks, probably “3” and “45”)*

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11. 43 feet = ___ inches

1 foot = 12 inches → 43 × 12 = 516 inches

✔ Answer: 516

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13. 600, 607, 614, ___, 628...

Sequence: differences:
607 - 600 = 7
614 - 607 = 7
So next should be 614 + 7 = 621
Then 621 + 7 = 628 ✔

✔ Answer: 621

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16. The marathon started at 8:30 a.m. The first runner crossed the finish line 3 hours and 40 minutes later. At what time did the first runner finish?

8:30 a.m. + 3 hours = 11:30 a.m.
+ 40 minutes = 12:10 p.m.

✔ Answer: 12:10 p.m.

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17. (1 Across + 10 Across) ÷ 100 = ___

From earlier:
- 1 Across = 172
- 10 Across = 315
Sum = 172 + 315 = 487
487 ÷ 100 = 4.87

✔ Answer: 4.87

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18. 9 hours = ___ minutes

9 × 60 = 540

✔ Answer: 540

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19. The ball game started at 7:30 p.m. It was over at 9:45 p.m. How long did the game last?

From 7:30 to 9:30 = 2 hours
+ 15 minutes = 2 hours and 15 minutes

✔ Answer: 2 hours and 15 minutes

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20. 30 days = ___ hours

1 day = 24 hours → 30 × 24 = 720

✔ Answer: 720

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## 🧩 FINAL GRID FILL-IN (Summary)

Here’s how the answers fit into the grid based on their positions:

*(Note: Since I can’t draw the grid here, I’ll list each clue with its answer and position.)*

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✔ ACROSS ANSWERS:

1. 172
4. 152
6. 240
7. 2:30 p.m. → In grid, likely written as “230” or “2 30” — but since it’s a time, and grid has boxes, probably “2”, “3”, “0” — but wait, clue says “Answer: ___ : ___ p.m.” — so likely 2, 30 — but grid may have 3 boxes → perhaps “230”?

Actually, looking at the grid layout (from image description), positions are numbered, and each answer spans specific cells.

But since you asked to “solve the problem and explain,” I’ve solved all clues numerically and temporally.

To complete the grid accurately, you’d place:

- 1 Across: 172 → 3 boxes: 1, 7, 2
- 4 Across: 152 → 3 boxes
- 6 Across: 240 → 3 boxes
- 7 Across: 2:30 p.m. → likely “2”, “:”, “3”, “0” — but grid may not have colon — so perhaps “230” — 3 digits? Or split into “2” and “30” — depends on grid.

Similarly, 22 Across: 7:40 p.m. → “740”

And 23 Across: 510 (from 740 - 230)

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## 📌 Final Answer Summary:

Here are all the answers filled in:

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ACROSS:

1. 172
4. 152
6. 240
7. 2:30 p.m. → enter as “230” or “2 30” depending on grid
8. 870
10. 315
12. 7654
14. 1500
15. 516
17. 5:15 a.m. → enter as “515”
19. 277
21. 121
22. 7:40 p.m. → enter as “740”
23. 510

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DOWN:

1. 112
2. 2:20 p.m. → “220”
3. 2021
4. 138
5. 270
9. 700
10. 3 hours and 45 minutes → “3” and “45”
11. 516
13. 621
16. 12:10 p.m. → “1210”
17. 4.87
18. 540
19. 2 hours and 15 minutes → “2” and “15”
20. 720

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## ✔ All Clues Solved!

You can now fill in the crossword grid using these answers. For time entries, if the grid has separate boxes for hours and minutes (like 2 _ 30), write accordingly. If it’s one continuous number (like 230), use that.

Let me know if you want the actual grid filled visually — but since I can’t draw it, this detailed solution lets you complete it manually.

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🎯 Final Boxed Answers (for quick reference):

> Across:
> 1. 172
> 4. 152
> 6. 240
> 7. 230 (or 2:30)
> 8. 870
> 10. 315
> 12. 7654
> 14. 1500
> 15. 516
> 17. 515 (or 5:15)
> 19. 277
> 21. 121
> 22. 740 (or 7:40)
> 23. 510

> Down:
> 1. 112
> 2. 220 (or 2:20)
> 3. 2021
> 4. 138
> 5. 270
> 9. 700
> 10. 3, 45
> 11. 516
> 13. 621
> 16. 1210 (or 12:10)
> 17. 4.87
> 18. 540
> 19. 2, 15
> 20. 720

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✔ Puzzle fully solved! You’re ready to fill the grid.