Sixth Grade Math Problem Solving



Sixth Grade Math Problem Solving

NOTES

I. MENTAL MATH

DIRECTIONS: Solve the following problems without any computations (yes, this is one of the few times I will ask this of you).

1. What is ½ of 10?

2. What is ¼ of 100?

3. What is ¾ of 100?

4. What is ½ of 50

5. What is 1/3 of 21?

6. What is ½ of ½?

7. What is ½ of ¼?

8. What is ½ of 1/3?

9. What is ½ of 1/6?

II. PICTURE TIME

DIRECTIONS: Draw the following.

1. ½ of 4

2. ½ of 1

3. ½ of ½

4. ½ of ¼

5. 1/3 of ½

III. MULTIPLY OR SUBTRACT?

DIRECTIONS: Do not solve the following word problems. Decide whether you would multiply or subtract to solve the problem, and explain your reasoning.

1. Jen caught a fish that weighed 10 ½ pounds. She ate ¾ of a pound of the fish. How much is left?

2. Jen caught a fish that weighed 10 ½ pounds. She ate ¾ of the fish. How much is left?

3. 3/5 of a room needs to be painted. Jane and Jim decide to each paint half of what’s left. How much do they each paint?

4. Jane needs to paint 3/5 of a room. Jim needs to paint ½ of another room (which is the same size). Who is painting more? By how much?

George bought 1/4 of a pound of chocolate. He ate 1/3 of the chocolate next day. How much chocolate does he have?

1. Draw a picture to represent the problem.

2. Describe how you will solve this problem. Explain your answer using words and/or using the picture you drew for #1.

3. Solve, explaining each step.

4. Answer in a complete sentence.

Mr. Cruz brings in ¾ of a leftover lemon meringue pie. He shares 2/3 of the pie with students. How much of the pie did the students eat?

5. Draw a picture to represent the problem.

6. Describe how you will solve this problem. Explain your answer using words and/or using the picture you drew for #5.

7. Solve, explaining each step.

8. Answer in a complete sentence.

Round Money

Round to the place of the underlined digit.

|1.   |2.   |3.   |

|$59.15 |$8.36 |$4.04 |

|[pic] $60.00 |[pic] |[pic] |

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

| | | |

| | | |

| | | |

| | | |

|4.   |5.   |6.   |

|$69.54 |$97.61 |$1.55 |

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

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

| | | |

| | | |

| | | |

| | | |

|7.   |8.   |9.   |

|$2.97 |$11.23 |$88.82 |

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

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

| | | |

| | | |

| | | |

| | | |

|10.   |11.   |12.   |

|$4.40 |$62.79 |$1.58 |

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

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

| | | |

| | | |

| | | |

| | | |

|13.   |14.   |15.   |

|$3.77 |$89.91 |$1.56 |

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

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

| | | |

| | | |

| | | |

| | | |

|16.   |17.   |18.   |

|$27.47 |$9.30 |$35.66 |

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

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

| | | |

| | | |

| | | |

| | | |

|19.   |20.   |21.   |

|$49.23 |$30.49 |$99.18 |

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

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

| | | |

| | | |

| | | |

| | | |

|22.   |23.   |24.   |

|$7.04 |$9.53 |$16.82 |

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

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

| | | |

| | | |

| | | |

| | | |

|25.   |26.   |27.   |

|$32.50 |$4.48 |$6.77 |

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

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

| | | |

| | | |

| | | |

| | | |

|28.   |29.   |30.   |

|$7.93 |$16.22 |$2.50 |

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

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

| | | |

| | | |

| | | |

| | | |

|31.   |32.   |33.   |

|$39.15 |$73.36 |$1.69 |

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

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

| | | |

| | | |

| | | |

| | | |

|34.   |35.   |36.   |

|$1.44 |$44.08 |$9.52 |

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

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

| | | |

| | | |

| | | |

| | | |

|37.   |38.   |39.   |

|$14.81 |$5.21 |$83.13 |

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

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

| | | |

| | | |

| | | |

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FRACTIONS #6

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