Multiplication Word Problems Worksheets | Grade 6 - Free Printable

Let's solve each of the multiplication word problems step by step and explain the reasoning behind each solution.

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Problem 1:

Li Jie bought 175 boxes of toys from China. Each box of toys has 12 toys. How many toys did Li Jie bring from China?

Step-by-step Solution:
- We are given:
- Number of boxes = 175
- Toys per box = 12
- To find the total number of toys, multiply the number of boxes by the number of toys in each box.

$$
175 \times 12 = ?
$$

Let’s break it down:
$$
175 \times 12 = 175 \times (10 + 2) = (175 \times 10) + (175 \times 2)
$$
$$
= 1750 + 350 = 2100
$$

✔ Answer: Li Jie brought 2,100 toys from China.

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Problem 2:

Jade gave 6 fidget spinners to each of her friends. She has 86 friends. How many fidget spinners did Jade give?

Step-by-step Solution:
- Number of friends = 86
- Fidget spinners per friend = 6
- Total fidget spinners = $ 86 \times 6 $

$$
86 \times 6 = (80 + 6) \times 6 = (80 \times 6) + (6 \times 6) = 480 + 36 = 516
$$

✔ Answer: Jade gave 516 fidget spinners.

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Problem 3:

Simson's parking lot contains 44 rows and 44 cars can be parked in a row. How many cars can be parked in total?

Step-by-step Solution:
- Number of rows = 44
- Cars per row = 44
- Total cars = $ 44 \times 44 $

We can compute this as:
$$
44 \times 44 = (40 + 4) \times (40 + 4)
$$
Using the formula: $ (a + b)^2 = a^2 + 2ab + b^2 $
$$
= 40^2 + 2 \times 40 \times 4 + 4^2 = 1600 + 320 + 16 = 1936
$$

Or simply:
$$
44 \times 44 = 1936
$$

✔ Answer: 1,936 cars can be parked in total.

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Problem 4:

Olivia packed 29 packets of pencils, each packet containing 42 pencils. How many pencils in total did Olivia pack?

Step-by-step Solution:
- Number of packets = 29
- Pencils per packet = 42
- Total pencils = $ 29 \times 42 $

Break it down:
$$
29 \times 42 = (30 - 1) \times 42 = (30 \times 42) - (1 \times 42)
$$
$$
30 \times 42 = 1260
$$
$$
1260 - 42 = 1218
$$

✔ Answer: Olivia packed 1,218 pencils in total.

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✔ Final Answers:

1. 2,100 toys
2. 516 fidget spinners
3. 1,936 cars
4. 1,218 pencils

These problems all involve multiplication to find totals when items are grouped in equal amounts. The key is identifying the two numbers to multiply: quantity of groups × items per group.