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Grade 5 Performance Tasks Answer Key


Understanding Numbers


1.

Rounded to the
Rounded to the
Nearest Million
Nearest 10 Million
1930
123,202,624
123,000,000
120,000,000
1940
132,164,569
132,000,000
130,000,000
1950
151,325,798
151,000,000
150,000,000
1960
179,323,175
179,000,000
180,000,000
1970
203,302,031
203,000,000
200,000,000
1980
226,545,518
227,000,000
230,000,000

 

2. & 3. Answers will vary


Using Addition and Subtraction

   
Rounded
Front-end and
Adjusted
1.

 

2,353
+3,774

 

2,400
+3,800
6,200
2,353
+3,774
6,000
2.
2,353
+3,774
6,127
     
3.
4,250
-3,065
1,185
4,300
-3,100
1,200
4,250
-3,065
<1,200
4.
4,250
-3,065
1,185
     
5. Answers
will
vary    



 

 

 

 

 

 

 

 

 

 

 

 

Adding and Subtracting Decimals

1.Look for an accurate BAR graph (title, both axes labeled, appropriate scale, and accurately plotted data).


2.

.336 Tony Gwynn
.335 Willie McGee
.330 Gary Sheffield
.319 Terry Pendelton
.313 Tony Gwynn


3.

.336
-.313
.023


4.

Tony Gwynn .336 rounds to .34
Willie McGee .335 rounds to .34


5. Answers will vary


Multiplying Whole Numbers


Estimation example:

6 x 4 = 24 Twenty-four rounds to 20. Four floors of 15 equals 60. Sixty times 20 is equal to 60. Sixty time 20 is equal to 1,200. So Ted would probably have enough tiles.

15
x4
60
60
x20
1,200

 

 


Answers will vary. Students should show evidence of rounding and/or front-end estimation.

1. 24 tiles are needed for each kitchen. 6 x 4 = 24 sq.ft. or 24 ft. sq.

2. 1,440 tiles are needed to retile all kitchen floor areas in the building. 24 x 60 = 1,440 sq.ft. or 1,440 ft. sq.

3. $19.68 is the cost of retiling each kitchen.

4. $1,180.80 is the cost of retiling the entire building.

Dividing Whole Numbers: 1-Digit Divisors

1. The range is 315 (from 935-1,250).

2. The mode is 1,250

3. The median population is 1,160.

4. The mean population is 1,124. The student should explain the mean as the arithmetic average and how he/she computed it.

5. Answer will vary.

Range - the difference between the greatest and the least number in the set.
Median - the middle numbers when the set of numbers is listed in order from the least to greatest.
Mode - the number or numbers that occur most often.

Dividing Whole Numbers: 2-Digit Divisors

1. Least possible quotient
2. Greatest possible quotient
3. Answers will vary.  



Multiplying and Dividing Decimals


1. Saturn 24.95 or 25 gallons
  Corvette 27.21 or 27 gallons
  Mustang 21.38 or 21 gallons
  Jeep 28.50 or 29 gallons
2. Saturn $32.17
  Corvette $35.10
  Mustang $27.58
  Jeep $36.77
3. Answers will vary  

 

Geometry

Answers will vary.

Understanding Fractions and Mixed Numbers


Answers will vary.

Adding and Subtracting Fractions

Answers will vary.

Multiplying and Dividing Fractions

1.

  Price After 10 days After 20 days After 30 Days
Jacket $120.00 $90.00 $80.00 $60.00
Shoes $40.00 $32.00 $24.00 $16.00
Shirt $12.00 $9.00 $8.00 $4.00


2. The following are the seven possible combinations of items that can be purchased by spending between $90.00 and $100.00:

1 jacket $90.00
3 pairs of shoes $96.00
11 shirts $99.00
10 shirts $90.00
1 jacket and 1 shirt $99.00
2 pairs of shoes and 4 shirts $96.00
1 pair of shoes and 7 shirts $96.00


3. No, you would not have enough money to buy 2 jackets at the price after 10 days. Each jacket would cost $80.00; therefore, 2 jackets would cost $160.00 and you only have $100.00 to spend.

4. Yes, you could buy all three items because the total cost would be $80.00, and you have $100.00 to spend.

Ratio and Probability


Answers will vary.

Math Portal Home > Performance Tasks for Elementary Mathematics for Grade 5 > Answer Key