6th Grade Common Core Math Worksheets - Free Printable

Problem Explanation:

The image contains a mental math worksheet for Grade 6 students. The worksheet is divided into four sections: Add, Subtract, Multiply, and Divide. Each section has 10 problems that need to be solved mentally.

Solution Approach:

We will solve each problem step by step, ensuring clarity and accuracy.

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#### Section 1: Add
1. \( 29 + 39 = 68 \)
2. \( 86 + 42 = 128 \)
3. \( 94 + 194 = 288 \)
4. \( 231 + 79 = 310 \)
5. \( 412 + 130 = 542 \)
6. \( 351 + 251 = 602 \)
7. \( 99 + 121 = 220 \)
8. \( 517 + 217 = 734 \)
9. \( 813 + 99 = 912 \)
10. \( 275 + 75 = 350 \)

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#### Section 2: Subtract
1. \( 624 - 84 = 540 \)
2. \( 120 - 65 = 55 \)
3. \( 358 - 126 = 232 \)
4. \( 836 - 95 = 741 \)
5. \( 312 - 105 = 207 \)
6. \( 87 - 32 = 55 \)
7. \( 169 - 48 = 121 \)
8. \( 254 - 89 = 165 \)
9. \( 9.96 - 45 = -35.04 \) (Note: This involves decimals, so the result is negative.)
10. \( 326 - 83 = 243 \)

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#### Section 3: Multiply
1. \( 80 \times 30 = 2400 \)
2. \( 50 \times 90 = 4500 \)
3. \( 3.70 \times 70 = 259 \) (Note: \( 3.70 \times 70 = 259.0 \))
4. \( 4.60 \times 80 = 368 \) (Note: \( 4.60 \times 80 = 368.0 \))
5. \( 9.90 \times 80 = 792 \) (Note: \( 9.90 \times 80 = 792.0 \))
6. \( 300 \times 60 = 18000 \)
7. \( 7.700 \times 50 = 385 \) (Note: \( 7.700 \times 50 = 385.0 \))
8. \( 8.60 \times 700 = 6020 \) (Note: \( 8.60 \times 700 = 6020.0 \))
9. \( 9.40 \times 900 = 8460 \) (Note: \( 9.40 \times 900 = 8460.0 \))
10. \( 10.20 \times 600 = 6120 \) (Note: \( 10.20 \times 600 = 6120.0 \))

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#### Section 4: Divide
1. \( 240 \div 80 = 3 \)
2. \( 280 \div 70 = 4 \)
3. \( 540 \div 60 = 9 \)
4. \( 480 \div 40 = 12 \)
5. \( 250 \div 50 = 5 \)
6. \( 360 \div 6 = 60 \)
7. \( 180 \div 3 = 60 \)
8. \( 960 \div 12 = 80 \)
9. \( 200 \div 4 = 50 \)
10. \( 240 \div 12 = 20 \)

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Final Answer:

\[
\boxed{
\begin{array}{cccc}
\text{Add} & \text{Subtract} & \text{Multiply} & \text{Divide} \\
68 & 540 & 2400 & 3 \\
128 & 55 & 4500 & 4 \\
288 & 232 & 259 & 9 \\
310 & 741 & 368 & 12 \\
542 & 207 & 792 & 5 \\
602 & 55 & 18000 & 60 \\
220 & 121 & 385 & 60 \\
734 & 165 & 6020 & 80 \\
912 & -35.04 & 8460 & 50 \\
350 & 243 & 6120 & 20 \\
\end{array}
}
\]