Grade 5 Maths Resources (Word Problems Printable Worksheets ... - Free Printable

Let’s solve each problem one by one, step by step.

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Problem 1:

Last year’s harvest = 177,124 tons
This year’s harvest = double last year’s → so multiply by 2

177,124 × 2 = ?

Let’s break it down:

177,000 × 2 = 354,000
124 × 2 = 248
Add them: 354,000 + 248 = 354,248

✔ This year’s harvest is 354,248 tons

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Problem 2:

Total land = 1,684 acres
Each acre needs 16 bags of fertilizer
So total bags needed = 1,684 × 16

Let’s calculate that:

First, 1,600 × 16 = 25,600
Then, 84 × 16 = ?

80 × 16 = 1,280
4 × 16 = 64
→ 1,280 + 64 = 1,344

Now add: 25,600 + 1,344 = 26,944 bags used

Bags in storage = 142,518
Left after use = 142,518 - 26,944

Subtract:

142,518
-26,944
= ?

Start from right:

8 - 4 = 4
1 - 4 → can’t do, borrow → 11 - 4 = 7 (but the 5 becomes 4)
4 - 9 → can’t do, borrow → 14 - 9 = 5 (the 2 becomes 1)
1 - 6 → can’t do, borrow → 11 - 6 = 5 (the 4 becomes 3)
3 - 2 = 1
1 - 0 = 1

Wait — let me write it properly:

```
142518
- 26944
--------
```

Step-by-step subtraction:

Units: 8 - 4 = 4
Tens: 1 - 4 → borrow → 11 - 4 = 7 (hundreds digit 5 becomes 4)
Hundreds: 4 - 9 → borrow → 14 - 9 = 5 (thousands digit 2 becomes 1)
Thousands: 1 - 6 → borrow → 11 - 6 = 5 (ten-thousands digit 4 becomes 3)
Ten-thousands: 3 - 2 = 1
Hundred-thousands: 1 - 0 = 1

Result: 115,574

✔ Bags left = 115,574

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Problem 3:

Cost to buy one tractor = $5,672
Maintenance per month per tractor = $89
Number of tractors = 12
Time = 18 months

Total cost = (cost to buy all tractors) + (maintenance for all tractors over 18 months)

Buy cost: 12 × 5,672

Calculate:

10 × 5,672 = 56,720
2 × 5,672 = 11,344
Total = 56,720 + 11,344 = 68,064

Maintenance cost per tractor for 18 months: 89 × 18

89 × 10 = 890
89 × 8 = 712
Total = 890 + 712 = 1,602 per tractor

For 12 tractors: 1,602 × 12

1,600 × 12 = 19,200
2 × 12 = 24
Total = 19,200 + 24 = 19,224

Now total cost = 68,064 + 19,224 = ?

68,064 + 19,000 = 87,064
87,064 + 224 = 87,288

✔ Total cost = $87,288

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Problem 4:

Time to plow 1 acre = 45 minutes
Total acres = 1,684

Total time in minutes = 1,684 × 45

Break it down:

1,684 × 40 = 67,360
1,684 × 5 = 8,420
Total = 67,360 + 8,420 = 75,780 minutes

Convert to hours: divide by 60

75,780 ÷ 60

Divide step by step:

60 × 1,000 = 60,000 → subtract → 75,780 - 60,000 = 15,780
60 × 200 = 12,000 → subtract → 15,780 - 12,000 = 3,780
60 × 60 = 3,600 → subtract → 3,780 - 3,600 = 180
60 × 3 = 180 → done

So: 1,000 + 200 + 60 + 3 = 1,263 hours

✔ Time needed = 1,263 hours

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Problem 5:

Total produce = 479,800 pounds
Rotten = one fifth → so good produce = four fifths

Find 4/5 of 479,800

First, find 1/5: 479,800 ÷ 5

479,800 ÷ 5:

5 × 95,000 = 475,000
Remainder: 4,800
5 × 960 = 4,800
So 95,000 + 960 = 95,960 → that’s 1/5

So rotten = 95,960
Good = 479,800 - 95,960 = ?

Or easier: 4 × 95,960 = ?

95,960 × 4:

90,000 × 4 = 360,000
5,000 × 4 = 20,000 → total 380,000
960 × 4 = 3,840
Total = 380,000 + 3,840 = 383,840

✔ Produce left = 383,840 pounds

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Final Answer:
1. 354,248 tons
2. 115,574 bags
3. $87,288
4. 1,263 hours
5. 383,840 pounds