TEKS 6.2D Worksheets — Grade 6 Order a set of rational numbers arising

Isabella is planting a garden in her backyard in Austin, Texas. She wants to plant a mix of vegetables and flowers. She has 2/3 of a pound of seeds for tomatoes, 1/4 of a pound for bell peppers, and 1/2 a pound for sunflowers. If she needs to use all the seeds she has for her garden, which is the correct order of the total weight of seeds for each type of plant from least to greatest?

1. 1/4, 1/2, 2/3 ✓
2. 1/2, 2/3, 1/4
3. 2/3, 1/4, 1/2
4. 2/3, 1/2, 1/4

Why: To find the order of the weights from least to greatest, we compare 1/4, 1/2, and 2/3. Converting these to a common denominator of 12 helps: 1/4 = 3/12, 1/2 = 6/12, and 2/3 = 8/12. Thus, the order is 1/4 (3/12), 1/2 (6/12), and then 2/3 (8/12). Therefore, the correct order is 1/4, 1/2, 2/3.

Camila is studying the unique wildlife of Padre Island National Seashore. She learned that the average weight of a Kemp's ridley sea turtle is about 45 kilograms. If she found a group of turtles where one weighs 38 kilograms, another weighs 50 kilograms, and a third weighs 42 kilograms, what is the average weight of these three turtles, rounded to the nearest whole number?

1. 42
2. 43 ✓
3. 44
4. 45

Why: To find the average weight of the three turtles, add their weights together: 38 + 50 + 42 = 130 kilograms. Then, divide that sum by the number of turtles, which is 3. So, 130 ÷ 3 = approximately 43.33. Rounding this to the nearest whole number gives us 43.

Aniyah is studying the different types of fish in the Gulf of Mexico for her science project. She measured the lengths of four fish she caught during a trip to the Port of Corpus Christi. The lengths are as follows: a speckled trout measuring 3.5 feet, a redfish measuring 3.25 feet, a pompano measuring 2.75 feet, and a flounder measuring 3.0 feet. What is the correct order of the fish lengths from shortest to longest?

1. 2.75 feet, 3.0 feet, 3.25 feet, 3.5 feet ✓
2. 3.25 feet, 3.0 feet, 2.75 feet, 3.5 feet
3. 3.0 feet, 2.75 feet, 3.25 feet, 3.5 feet
4. 3.5 feet, 3.25 feet, 2.75 feet, 3.0 feet

Why: To order the fish lengths from shortest to longest, first convert all lengths into decimals if needed. The lengths are: 2.75 feet (pompano), 3.0 feet (flounder), 3.25 feet (redfish), and 3.5 feet (speckled trout). Placing these in order gives: 2.75 feet, 3.0 feet, 3.25 feet, and 3.5 feet, which corresponds to the first choice.

Ximena visited the Port of Houston and recorded the weights of several shipments in tons. The weights are as follows: 2.5, 3/4, 1.2, and 1.75. What is the correct order of the shipment weights from least to greatest?

1. 0.75, 1.2, 1.75, 2.5 ✓
2. 1.2, 1.75, 2.5, 0.75
3. 2.5, 1.75, 1.2, 0.75
4. 1.75, 1.2, 2.5, 0.75

Why: To order the shipment weights from least to greatest, first convert all weights to decimal form: 3/4 is 0.75, 1.2 is already in decimal form, 1.75 is also in decimal form, and 2.5 remains the same. Now, we have the weights as 0.75, 1.2, 1.75, and 2.5. When ordered from least to greatest, they are 0.75, 1.2, 1.75, 2.5.

Mika is planning a trip to Big Bend National Park and wants to hike a total of 12 miles over the weekend. On Saturday, she hikes 2 3/4 miles. On Sunday, she wants to hike the remaining distance. How many miles does Mika need to hike on Sunday?

1. 9 1/4 ✓
2. 10 1/4
3. 8 1/4
4. 7 1/4

Why: To find the distance Mika needs to hike on Sunday, first convert 12 miles to a fraction with a common denominator as 2 3/4. 2 3/4 can be rewritten as 11/4. So, 12 miles is the same as 48/4. Now, subtract 11/4 from 48/4: 48/4 - 11/4 = 37/4, which simplifies to 9 1/4 miles. Therefore, Mika needs to hike 9 1/4 miles on Sunday.

Mariana is hiking in Big Bend National Park and plans to hike a total of 30 miles over three days. On the first day, she hikes 12.5 miles. On the second day, she hikes 10 miles. How many miles does Mariana need to hike on the third day to complete her goal?

1. 7.5 ✓
2. 8.5
3. 6.5
4. 9.5

Why: To find out how many miles Mariana needs to hike on the third day, first add the distances she has already hiked: 12.5 miles + 10 miles = 22.5 miles. Then, subtract this total from her overall goal of 30 miles: 30 miles - 22.5 miles = 7.5 miles. Therefore, Mariana needs to hike 7.5 miles on the third day.

Hazel is painting a mural on a wall in her classroom. She needs 2/3 gallon of blue paint and 1/4 gallon of yellow paint. If each gallon of paint costs $15, how much will Hazel spend on paint in total?

1. $12.50
2. $13.75 ✓
3. $16.25
4. $18.00

Why: To find the total cost of the paint, first, we add the amounts of blue and yellow paint needed: 2/3 + 1/4. To do this, we find a common denominator, which is 12. The equivalent fractions are 8/12 (for 2/3) and 3/12 (for 1/4). Adding them gives us 11/12 gallons of paint. Since each gallon costs $15, we multiply 11/12 by $15, which is 11 * 15 / 12 = $13.75. Therefore, Hazel will spend $13.75 on paint.

During a visit to the State Fair of Texas, Nour decides to buy some treats. She spends $2.75 on a funnel cake and $3.50 on a corn dog. After enjoying her snacks, she buys a lemonade for $1.25. How much money did Nour spend in total?

1. $7.50 ✓
2. $8.00
3. $7.00
4. $8.25

Why: To find the total amount Nour spent, add the costs of the funnel cake, corn dog, and lemonade: $2.75 + $3.50 + $1.25. First, add $2.75 and $3.50, which equals $6.25. Then, add $1.25 to $6.25, which equals $7.50. Therefore, the total amount Nour spent is $7.50.