TEKS 6.3B Worksheets — Grade 6 Determine, with and without computation, whether a

Eduardo is planting bluebonnets in his garden in Austin. He has 15 bluebonnet seedlings. If he decides to plant 2/5 of them in the front yard, how many seedlings will he have left after planting?

1. 9 ✓
2. 6
3. 3
4. 12

Why: To find out how many seedlings Eduardo will plant, first calculate 2/5 of 15. This is done by multiplying 15 by 2/5, which equals 6 seedlings. To find out how many seedlings he will have left after planting, subtract 6 from 15. Thus, 15 - 6 equals 9. Therefore, Eduardo will have 9 bluebonnet seedlings left after planting.

Ximena is helping her father build a new fence for their backyard in Austin, Texas. They bought 8 fence panels, and each panel costs $15. If they use a 1/3 coupon on the total cost of the panels, what will the final amount they pay after applying the coupon be?

1. $80 ✓
2. $90
3. $100
4. $120

Why: First, we calculate the total cost of the fence panels: 8 panels * $15 per panel = $120. Then, applying the 1/3 coupon means they save $120 * 1/3 = $40. To find the final amount paid, we subtract the savings from the total cost: $120 - $40 = $80. Therefore, the final amount they pay after applying the coupon is $80.

Diya is hiking in Big Bend National Park and comes across a trail that is 3/4 of a mile long. If she decides to hike 2/3 of that trail, how much of the trail will she have completed in miles?

1. 1/2 ✓
2. 1/4
3. 1/3
4. 1

Why: To find out how much of the trail Diya will have completed, multiply 3/4 by 2/3. This is calculated as (3/4) * (2/3) = 6/12, which simplifies to 1/2. Therefore, Diya will have completed 1/2 of the trail.

Carlos is preparing for a school project about Big Bend National Park. He learns that the park is approximately 1,200 square miles in size. Carlos decides to create a model of the park that is 2/3 the size of the actual park. What will be the area of Carlos's model in square miles?

1. 800 ✓
2. 900
3. 700
4. 600

Why: To find the area of Carlos's model, we multiply the actual area of Big Bend National Park, which is 1,200 square miles, by 2/3. This can be calculated as 1,200 * (2/3) = 1,200 * 2 / 3 = 2,400 / 3 = 800. Therefore, the area of Carlos's model will be 800 square miles.

Emma is helping her grandmother prepare a traditional Texan recipe for chili that requires 3/4 of a cup of chili powder. If she needs to multiply this amount by 2/3 to make a smaller batch, how much chili powder will Emma need for the smaller batch?

1. 1/2 cup ✓
2. 1/4 cup
3. 1 cup
4. 1/3 cup

Why: To find out how much chili powder Emma needs, we multiply 3/4 by 2/3. This can be calculated as (3/4) * (2/3) = 6/12 which simplifies to 1/2. Therefore, Emma will need 1/2 cup of chili powder for the smaller batch.

Victoria runs a farm in the Rio Grande Valley where she grows citrus fruits. She harvested 240 oranges this season. If she sells 2/3 of the oranges at the market, how many oranges does she have left?

1. 80 ✓
2. 160
3. 90
4. 60

Why: To find out how many oranges Victoria has left after selling 2/3 of her harvest, first calculate the number of oranges sold. She sold 2/3 of 240 oranges: 240 * (2/3) = 160 oranges sold. Now, subtract the number sold from the total: 240 - 160 = 80 oranges remaining. Therefore, the correct answer is 80.

Hana is making tamales for a family gathering in San Antonio. The recipe calls for 3/4 cup of cornmeal for each batch. If she wants to make 2 1/2 batches of tamales, how many cups of cornmeal does she need in total?

1. 1 7/8 ✓
2. 2 1/4
3. 3 1/2
4. 2 3/8

Why: To find the total amount of cornmeal Hana needs, first convert 2 1/2 batches to an improper fraction, which is 5/2. Then multiply 5/2 by 3/4: (5/2) * (3/4) = 15/8. Now convert 15/8 to a mixed number: 15 divided by 8 is 1 with a remainder of 7, so it is 1 7/8 cups of cornmeal. Therefore, the correct answer is 1 7/8.

Ethan is making blueberry muffins using a recipe that calls for 3/4 cup of sugar. If he decides to make only 2/3 of the recipe, how much sugar will he need in cups?

1. 1/2 ✓
2. 1/4
3. 1/3
4. 1/8

Why: To find out how much sugar Ethan needs, multiply the amount of sugar in the full recipe by the fraction of the recipe he wants to make. So, 3/4 * 2/3 = (3 * 2) / (4 * 3) = 6/12 = 1/2 cup of sugar. Therefore, the correct answer is 1/2.