TEKS 6.2C Worksheets — Grade 6 Locate, compare, and order integers and rational

Emilio is planning a picnic in the Hill Country of Texas and needs to bring some drinks. He knows he will have 2.5 gallons of lemonade and 1 3/4 gallons of iced tea. To find out how much liquid he has in total, which point on the number line best represents the total volume of drinks he will bring to the picnic in gallons?

1. 4.25 ✓
2. 3.75
3. 4.00
4. 5.50

Why: To find the total volume of drinks, first convert 1 3/4 gallons into a decimal. 1 3/4 is equal to 1.75. Now add this to the 2.5 gallons of lemonade: 2.5 + 1.75 = 4.25 gallons. Therefore, the point on the number line that best represents the total volume is 4.25.

Nia is planting a garden in her backyard in Austin, Texas. She needs to measure a section of 3/4 yard for flowers and another section of 1/3 yard for vegetables. To prepare for planting, she wants to find the total length of the sections combined. Which fraction represents the total length that Nia will need to prepare for planting?

1. 13/12 ✓
2. 1/2
3. 1/4
4. 5/6

Why: To find the total length of the sections combined, we need to add the fractions 3/4 and 1/3. First, we find a common denominator, which is 12. Now, convert each fraction: 3/4 becomes 9/12 and 1/3 becomes 4/12. Adding these gives us 9/12 + 4/12 = 13/12. Therefore, the total length Nia will need to prepare for planting is 13/12 yards.

Andrea is baking brownies for a school fundraiser in Fredericksburg. She has a recipe that requires 1/3 of a cup of sugar for each batch of brownies. If she plans to make 5 batches, how many cups of sugar will she need in total?

1. 1 2/3 ✓
2. 1/2
3. 2
4. 1 1/2

Why: To find out how much sugar Andrea needs, multiply the amount of sugar per batch (1/3) by the number of batches (5). This can be calculated as 1/3 * 5 = 5/3 cups. Converting 5/3 to a mixed number gives us 1 2/3 cups. Therefore, the correct answer is 1 2/3.

Carolina is planning a trip to the State Fair of Texas in Dallas. She plans to spend $15 on a ticket and an additional $12.50 on food. If she also wants to buy a souvenir that costs $8.75, how much money will she spend in total at the fair?

1. 36.25 ✓
2. 37.25
3. 35.25
4. 34.25

Why: To find the total amount Carolina will spend, add the cost of the ticket, food, and the souvenir. First, add $15 (ticket) + $12.50 (food) = $27.50. Next, add the cost of the souvenir: $27.50 + $8.75 = $36.25. Therefore, the total amount Carolina will spend at the fair is $36.25.

Isabella is measuring the height of three different types of trees in Palo Duro Canyon. The first tree is 5.4 meters tall, the second tree is 2.7 meters shorter than the first, and the third tree is 1/3 of the height of the first tree. Which point on the number line best represents the height of the third tree?

1. 1.8 ✓
2. 3.6
3. 4.0
4. 5.4

Why: To find the height of the third tree, first calculate the height of the second tree: 5.4 - 2.7 = 2.7 meters. Then, calculate the height of the third tree: 1/3 of 5.4 is 5.4 / 3 = 1.8 meters. Thus, the correct answer is 1.8.

Juan is participating in a recycling contest at his school in Austin, Texas. He collected 3/4 of a pound of plastic bottles and 1/2 of a pound of aluminum cans. If he also wants to collect an additional 1/8 of a pound of paper, what is the total weight of the recyclable materials Juan has collected so far? Use the number line below to determine the correct location for the total weight of his recyclables.

1. 1 3/8 ✓
2. 1 1/2
3. 1 5/8
4. 2

Why: To find the total weight of the recyclable materials Juan collected, first, we need to add the weights of the materials. Start with 3/4 and add 1/2: Convert 1/2 to an equivalent fraction with a denominator of 4, which is 2/4. So, 3/4 + 2/4 = 5/4, which is 1 1/4 pounds. Now add 1/8: To add 1 1/4 (which is 10/8) and 1/8, we get 10/8 + 1/8 = 11/8 or 1 3/8 pounds. Therefore, the total weight of the recyclables is 1 3/8 pounds.

Lucia went on a field trip to the Gulf Coast in Texas. She measured the heights of different dunes along the beach. The first dune was 15 feet tall, the second dune was 20 feet tall, and the third dune was 25 feet tall. Lucia wants to create a number line to represent the heights of these dunes. Which point on the number line best represents the height of the second dune compared to the other two dunes?

1. 15
2. 20 ✓
3. 25
4. 30

Why: To solve the problem, you need to identify which height represents the second dune. The heights are 15 feet for the first dune, 20 feet for the second dune, and 25 feet for the third dune. Therefore, the height of the second dune is 20 feet, which is the correct answer.

Leila is studying the habitats of different animals in Texas, including the white-tailed deer, which thrive in the forests of East Texas. If she observes that white-tailed deer can travel a maximum distance of 3/4 mile from their home to find food, and she knows that each deer in the area can explore an average of 0.5 mile beyond that area. If Leila records a total distance of 1.25 miles traveled by the deer, how far did the deer go beyond their initial foraging area?

1. 1/2 mile ✓
2. 3/4 mile
3. 1/4 mile
4. 1 mile

Why: To find how far the deer went beyond their initial foraging area, we subtract the maximum distance of 3/4 mile from the total distance of 1.25 miles. First, we need to convert 1.25 miles into a fraction: 1.25 = 5/4 miles. Now we can calculate: 5/4 - 3/4 = 2/4 = 1/2. This means the deer traveled an additional 1/2 mile beyond their initial foraging area.