Grade 6Word Problems

Word Problems Problems That Challenge Grade 6 Students and Parents

Some grade 6 word problems questions look simple at first, but this is exactly where many parents get stuck. The numbers are not always the real problem. The real problem is figuring out what the question is actually asking and how to explain it clearly without making your child more confused.

These challenging word problems problems are written for parents helping children around ages 11 to 12. They go a little beyond normal classwork, so your child has to think harder and you have to teach with more care.

If you have ever said, “I know the answer, but I do not know how to explain it,” this page is for you.

Why These Problems Are Challenging

Children at Grade 6 often know the basic skill, but they still struggle when the question hides the important step inside a story, comparison, or extra detail.

Parents usually get stuck because modern classroom questions ask for reasoning, not just a final number. A child may need to show a model, explain a choice, or solve in more than one step.

With word problems, the biggest gap is often reading, choosing operations, and checking meaning. That is why these problems feel hard even when the numbers themselves do not look extreme.

10 Challenging Problems

  1. 1

    A class collected 70 cans on Monday and 35 fewer cans on Tuesday. How many cans did they collect on Tuesday?

  2. 2

    A shop packs 11 crayons in each box. If a teacher buys 14 boxes, how many crayons does the teacher get?

  3. 3

    A family had $10.00 for the week’s market trip. They spent $4.80 on fruit. How much money was left?

  4. 4

    A club meeting began at 3:15 pm. The first activity lasted 77 minutes and the second lasted 92 minutes. How many minutes of activities were there in total?

  5. 5

    A class planned to walk 29 kilometres on a hike. After the first section, they had 21 kilometres left. How many kilometres had they already walked?

  6. 6

    Each table at a fair seats 11 children. If 70 children come to the fair activity, how many full tables are needed?

  7. 7

    A teacher buys 3 packs of paper with 14 sheets in each pack and already has 35 loose sheets. How many sheets are available altogether?

  8. 8

    A school bus has 70 seats. 35 seats are empty. How many children are on the bus?

  9. 9

    Two brothers save $4.80 and $0.06. They want to buy a game that costs $0.10. Do they have enough money?

  10. 10

    A camp group walks 21 kilometres before lunch and 24 kilometres after lunch for 6 days. How many kilometres do they walk in total across all days?

Step-by-Step Solutions

Problem 1

A class collected 70 cans on Monday and 35 fewer cans on Tuesday. How many cans did they collect on Tuesday?

Answer: 35 cans

  1. Tuesday is described as 35 fewer than Monday.
  2. So subtract: 70 - 35 = 35.
  3. The tricky part is noticing that Tuesday's amount is not given directly.

How to explain it: Word problems often hide the needed number inside comparison language like fewer or more.

Problem 2

A shop packs 11 crayons in each box. If a teacher buys 14 boxes, how many crayons does the teacher get?

Answer: 154 crayons

  1. There are 14 equal groups.
  2. Each group has 11 crayons.
  3. 14 × 11 = 154.

How to explain it: Equal groups in a story usually point to multiplication, even if the question looks long.

Problem 3

A family had $10.00 for the week’s market trip. They spent $4.80 on fruit. How much money was left?

Answer: $5.20

  1. This is money being taken away from a starting amount.
  2. Subtract: 1000 cents - 480 cents = 520 cents.
  3. That equals $5.20.

How to explain it: When a word problem feels messy, say the story in one short sentence first: “We had this much, then spent this much.”

Problem 4

A club meeting began at 3:15 pm. The first activity lasted 77 minutes and the second lasted 92 minutes. How many minutes of activities were there in total?

Answer: 169 minutes

  1. Even though a start time is given, the question asks for total activity time.
  2. Add the durations: 77 + 92 = 169.
  3. The clock time is a distraction unless the question asks when the meeting ends.

How to explain it: One of the best parent prompts is, “What is the question really asking for: total time or the finishing clock time?”

Problem 5

A class planned to walk 29 kilometres on a hike. After the first section, they had 21 kilometres left. How many kilometres had they already walked?

Answer: 8 kilometres

  1. We know the whole distance: 29 kilometres.
  2. We also know the amount still left: 21 kilometres.
  3. Subtract to find the part already walked: 29 - 21 = 8.

How to explain it: Missing-part problems often use subtraction even when nothing is literally being taken away in the story.

Problem 6

Each table at a fair seats 11 children. If 70 children come to the fair activity, how many full tables are needed?

Answer: 7 tables

  1. Divide the children by the seats per table: 70 ÷ 11.
  2. That gives 6 full tables with 4 children still needing seats.
  3. Because everyone needs a place, one more table is needed. Total tables: 7.

How to explain it: This is a lovely example of why the remainder matters. Sometimes the remainder means you must round up in the real world.

Problem 7

A teacher buys 3 packs of paper with 14 sheets in each pack and already has 35 loose sheets. How many sheets are available altogether?

Answer: 77 sheets

  1. First find the sheets in packs: 3 × 14 = 42.
  2. Then add the loose sheets: 42 + 35 = 77.
  3. This is a two-step word problem because multiplication comes before addition.

How to explain it: Have your child say the operation before solving each step. It helps them notice when a problem changes from multiply to add.

Problem 8

A school bus has 70 seats. 35 seats are empty. How many children are on the bus?

Answer: 35 children

  1. The whole number of seats is 70.
  2. Empty seats are the part not being used.
  3. Subtract: 70 - 35 = 35.

How to explain it: Children sometimes add because the word seats appears twice. Remind them to decide whether the numbers are parts of one whole or two separate groups.

Problem 9

Two brothers save $4.80 and $0.06. They want to buy a game that costs $0.10. Do they have enough money?

Answer: Yes, because they have $10.55 and need $10.40.

  1. Add their savings: $4.80 + $0.06 = $10.55.
  2. Compare that amount with the game price of $0.10.
  3. $10.55 is enough.

How to explain it: Comparison questions are easier if your child first finds one total, then checks it against the target amount.

Problem 10

A camp group walks 21 kilometres before lunch and 24 kilometres after lunch for 6 days. How many kilometres do they walk in total across all days?

Answer: 270 kilometres

  1. First find one day's distance: 21 + 24 = 45.
  2. Then multiply by 6 days.
  3. 45 × 6 = 270.

How to explain it: This kind of problem is hard because the child must build a one-day amount before scaling it across several days.

How Parents Can Explain This Better

  • Ask your child to explain the question in their own words before touching the numbers.
  • Circle the important numbers and cross out extra details that do not matter to the solution.
  • If your child is stuck, ask, “What is the first thing we can figure out?” instead of asking for the final answer.
  • Teach your child to decide the operation after reading, not before.
  • Many children grab the first two numbers they see. Ask which numbers answer the real question.

Related help for parents

Start with the full guide

If you want the broad explanation before the harder practice, open the main parent guide first.

word problems for grade 6

FAQ

Why are these word problems problems for Grade 6 so difficult?

They are written slightly above standard classroom practice, so children must explain their thinking, choose the right steps, and apply the skill in realistic situations.

How can I help my child with hard word problems questions without giving away the answer?

Start by restating the problem in simpler words, ask what information matters, and guide your child one step at a time instead of solving the whole question at once.

Are these challenging word problems problems good for homework practice?

Yes. They work well for stretch practice at home, especially when a child already understands the basics and needs harder examples that build confidence and reasoning.

What should I do if my child freezes on multi-step math questions?

Cover part of the question, identify the first small step, and write down what is already known before trying to solve the whole problem.

Can AceWorksheet explain hard word problems problems for parents too?

Yes. AceWorksheet gives step-by-step explanations that help parents understand the method first, so they can teach more calmly and clearly at home.

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How AceWorksheet Can Help

AceWorksheet gives parents AI-powered step-by-step explanations for tricky homework questions, so you can spend less time guessing and more time teaching with confidence.