Sixth Grade Math Problem Solving - Weebly



Sixth Grade Math Problem Solving

NOTES

I. EXPLAIN YOURSELF

Use numbers, words, or pictures to explain why ½ + ½ = ½ x 2.

Sylvia is playing a game of chess. She starts the game with her standard 16 pieces. By the end of the game, she only has ¼ of her original pieces left. How many pieces does she have left?

1. Draw a picture to represent the problem.

2. Use your drawing from #1 to describe how you will solve this problem. What operation with it require? Draw a picture to represent the computation.

3. Solve, showing all work.

4. Write your answer in a complete sentence, including units.

______________________________________________________________________

Looking through the Sunday paper, Kanisha sees the following advertisement

TOASTERS TOASTERS TOASTERS

Usually $15 – Now 1/3 off!!

Only at The Best Buy

How much will she save by buying the toaster on sale?

5. Draw a picture to represent the problem.

6. Use your drawing from #5 to describe how you will solve this problem. What operation with it require? Draw a picture to represent the computation.

7. Solve, showing all work.

8. Write your answer in a complete sentence, including units.

______________________________________________________________________

Kathryn has earned 18 Creed Deeds this week. 2/3 of those Creed Deeds are for scholarship. How many Scholarship Creed Deeds has Kathryn earned?

9. Draw a picture to represent the problem.

10. Use your drawing from #9 to describe how you will solve this problem. What operation with it require? Draw a picture to represent the computation.

11. Solve, showing all work.

12. Write your answer in a complete sentence, including units.

______________________________________________________________________

|1   |2   |

|In a basketball game, Kevin scored one-sixth of all the points for his |Michael has four-sixths as many shirts as Jane. If Jane has 66 shirts, |

|team. The team had a total of 66 points. How many points did Kevin |how many does Michael have? |

|score? | |

| |[pic]  44 |

|[pic]  51 |[pic]  82 |

|[pic]  11 |[pic]  40 |

|[pic]  40 |[pic]  124 |

|[pic]  8 |[pic]  66 |

|[pic]  18 | |

|[pic]  25 | |

| | |

| | |

| |  |

| | |

|  | |

| | |

|3   |4   |

|Three fifths of a room has been painted. Brad did three fourths of the |There are 4 boxes and each weighs 2 and ½ pounds. How many pounds do all|

|work so far. How much of the room did Brad paint? |the boxes weigh? |

|[pic]   |[pic]   |

|1 |16 |

|[pic] |1 |

|4 |[pic] |

| |3 |

| | |

|  [pic]   | |

|7 | |

|[pic] | |

|10 |  [pic]   |

| |10 |

| |8 |

|  [pic]   |[pic] |

|4 |9 |

|[pic] | |

|7 | |

| | |

| | |

| |  [pic]   |

|  |49 |

| | |

| |  |

| | |

| | |

| | |

| | |

|[pic]   | |

|4 | |

|[pic] |[pic]   |

|11 |38 |

| |1 |

| |[pic] |

|  [pic]   |9 |

|2 | |

|[pic] | |

|3 | |

| | |

| |  [pic]   |

|  [pic]   |NH |

|9 | |

|[pic] | |

|20 | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

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|  | |

| | |

| | |

Fractions

Write each improper fraction as a mixed number in simplest form.

|1.   |2.   |3.   |4.   |

|3 |29 |20 |49 |

|[pic] |[pic] |[pic] |[pic] |

|2 |7 |6 |9 |

| | | | |

| | | | |

| | | | |

|5.   |6.   |7.   |8.   |

|23 |72 |18 |46 |

|[pic] |[pic] |[pic] |[pic] |

|8 |11 |10 |12 |

| | | | |

| | | | |

| | | | |

|9.   |10.   |11.   |12.   |

|17 |32 |17 |26 |

|[pic] |[pic] |[pic] |[pic] |

|4 |5 |3 |10 |

| | | | |

| | | | |

| | | | |

|13.   |14.   |15.   |16.   |

|34 |22 |7 |20 |

|[pic] |[pic] |[pic] |[pic] |

|12 |7 |4 |3 |

| | | | |

| | | | |

| | | | |

|17.   |18.   |19.   |20.   |

|39 |56 |18 |15 |

|[pic] |[pic] |[pic] |[pic] |

|8 |11 |5 |9 |

| | | | |

| | | | |

| | | | |

|21.   |22.   |23.   |24.   |

|11 |17 |52 |23 |

|[pic] |[pic] |[pic] |[pic] |

|2 |6 |8 |5 |

| | | | |

| | | | |

| | | | |

|25.   |26.   |27.   |28.   |

|26 |57 |10 |27 |

|[pic] |[pic] |[pic] |[pic] |

|4 |12 |9 |11 |

| | | | |

| | | | |

| | | | |

|29.   |30.   |31.   |32.   |

|22 |28 |43 |9 |

|[pic] |[pic] |[pic] |[pic] |

|6 |10 |7 |2 |

| | | | |

| | | | |

| | | | |

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FRACTIONS #5

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