Free · Printable · TEKS 6.3A · Number & Operations (Computation)
TEKS 6.3A Worksheets — Grade 6 Recognize that dividing by a rational number
90+ Texas-aligned practice questions on this exact Grade 6 standard. Print at home or practice online with a built-in AI tutor. No sign-up, no paywall.
What TEKS 6.3A says: Recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values.
This page has 90+ practice questions tagged specifically to TEKS 6.3A. Below: a sample of 8 with answers and explanations so you can preview the worksheet before printing. Every question goes through an AI quality gate (gpt-4o for content review, Claude Sonnet 4.5 for math verification) before publishing.
Cognitive demand: medium. Typical question shape: Identify equivalent expression involving reciprocal.
Mariana is planning a camping trip to Big Bend National Park with her friends. She needs to divide a total of 12 sandwiches equally among 4 friends. After making the sandwiches, she realizes that each sandwich is cut into 1/3 pieces to make them easier to eat. How many pieces of sandwiches will each friend receive if they share the sandwiches equally?
- 9 ✓
- 8
- 6
- 12
Why: To find out how many pieces each friend will get, first, divide the total number of sandwiches, which is 12, by the number of friends, which is 4. Each friend will get 12 / 4 = 3 sandwiches. Since each sandwich is cut into 3 pieces (1/3), we multiply the number of sandwiches each friend receives by the number of pieces per sandwich: 3 sandwiches * 3 pieces/sandwich = 9 pieces in total for each friend.
Natalia is planning a school field trip to Fredericksburg, Texas. The total cost for 3 buses is $720. If each bus can hold 24 students, how much will each student need to pay if there are 60 students going on the trip?
- $12 ✓
- $10
- $15
- $8
Why: To find out how much each student needs to pay, first divide the total cost by the number of students. The total cost is $720 and there are 60 students, so $720 / 60 = $12. Therefore, each student will need to pay $12.
Ximena is organizing a field trip for her class to Palo Duro Canyon. The total cost for the trip is $240, which includes the bus fare and park entry. If each student pays $15, how many students need to attend for Ximena to cover the entire cost of the trip?
- 16 ✓
- 14
- 18
- 20
Why: To find out how many students need to attend, divide the total cost of the trip, $240, by the amount each student pays, $15. The calculation is 240 ÷ 15 = 16. Thus, Ximena needs 16 students to attend to cover the cost.
Emma is helping her grandmother in the Rio Grande Valley, where they grow citrus fruits. They need to divide 3/4 of a barrel of oranges into bags. Each bag can hold 1/8 of a barrel. How many bags can Emma fill with the oranges they have?
- 6 ✓
- 5
- 4
- 3
Why: To find out how many bags Emma can fill, divide the total amount of oranges (3/4) by the amount each bag can hold (1/8). This is calculated as (3/4) ÷ (1/8). Dividing by a fraction is the same as multiplying by its reciprocal, so (3/4) × (8/1) = 3*8/4*1 = 24/4 = 6. Therefore, Emma can fill 6 bags.
Linh is organizing a BBQ fundraiser in Austin and is preparing to buy brisket. She needs 3/4 of a pound of brisket for each sandwich she plans to serve. If she wants to make 12 sandwiches, how many pounds of brisket does she need to purchase? Which expression best represents the total amount of brisket needed?
- 9 ✓
- 6
- 4.5
- 10
Why: To find the total amount of brisket Linh needs, you can multiply the amount needed for each sandwich by the number of sandwiches. The expression is (3/4) × 12. First, calculate 3/4 of 12, which is (3 × 12) / 4 = 36 / 4 = 9. Therefore, Linh needs to purchase 9 pounds of brisket.
Avery is organizing a bake sale at her school to raise money for a field trip. She plans to sell cookies and brownies. Each cookie is sold for $2.50 and each brownie is sold for $3.75. If she sells 12 cookies and 8 brownies, how much money will she make in total? To find the equivalent expression for the total amount, which of the following calculations would help Avery determine her total sales?
- 30 + 30
- 12 * 2.5 + 8 * 3.75 ✓
- 12 / 2.5 + 8 / 3.75
- 12 * 3.75 + 8 * 2.5
Why: To find the total amount Avery will make from selling cookies and brownies, you need to calculate the total earnings from each type of treat. The expression 12 * 2.5 calculates the earnings from cookies, and 8 * 3.75 calculates the earnings from brownies. Therefore, the correct calculation is 12 * 2.5 + 8 * 3.75, which will give Avery her total sales.
Hugo is organizing a field trip for his class to the State Fair of Texas in Dallas. Each student needs to pay $12 for the trip. If Hugo collects $96 from the students, how many students has he collected money from? If each student pays an additional $3 to cover snacks, what will be the total amount collected from each student?
- 8, $15 ✓
- 8, $12
- 12, $15
- 12, $12
Why: First, to find out how many students Hugo has collected money from, we divide the total amount collected, which is $96, by the cost per student, which is $12. This gives us 96 ÷ 12 = 8 students. Next, if each student pays an additional $3 for snacks, the total amount collected from each student becomes $12 + $3 = $15. Therefore, the correct answer is 8 students and $15.
Luis is planting bluebonnets in his backyard in Texas. He has a total of 3/4 of a bag of bluebonnet seeds. If each bluebonnet requires 1/8 of a bag of seeds, how many bluebonnets can Luis plant? Which expression represents this situation?
- 3/4 ÷ 1/8 ✓
- 3/4 × 1/8
- 3/4 + 1/8
- 3/4 - 1/8
Why: To determine how many bluebonnets Luis can plant, we need to divide the total amount of seeds he has (3/4) by the amount needed for each bluebonnet (1/8). Dividing by a fraction is the same as multiplying by its reciprocal. Therefore, 3/4 ÷ 1/8 is equivalent to 3/4 × 8/1, which equals 6. Thus, Luis can plant 6 bluebonnets.
Common questions about TEKS 6.3A
What is TEKS 6.3A?
TEKS 6.3A is a Grade 6 Number & Operations (Computation) standard from the Texas Essential Knowledge and Skills. The standard says: Recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values.
How many TEKS 6.3A practice questions are available?
90+ practice questions tagged to TEKS 6.3A. All free to print or practice online. We pull a fresh set each time you print a worksheet so your kid doesn't see the same questions twice.
What kind of questions test TEKS 6.3A on the STAAR?
Identify equivalent expression involving reciprocal. TEKS 6.3A is a medium-cognitive-demand standard — 1-2 step questions are typical.
Where do these questions come from?
Generated by our AI pipeline, then independently quality-gated by two cross-vendor models (gpt-4o for content review, Claude Sonnet 4.5 for math verification) before publishing. Every question is tagged to TEKS 6.3A and modeled on real STAAR item shapes. No typos, no wrong answer keys, no broken explanations.