X Tables
Problem Solving

RUCSAC problem-solving method

Use Read, Understand, Choose, Solve, Answer and Check carefully.

Quick answer

The RUCSAC method is a helpful way to solve maths word problems. It stands for Read, Understand, Choose, Solve, Answer and Check. By following these six steps, you can solve any maths word problem with confidence.

Learning outcome

By the end of this page, you will know how to use the RUCSAC method to solve maths word problems in your homework or daily life. Success signs:
  • You can read a word problem and find the important numbers and words
  • You can understand what the problem is asking you to do
  • You can choose the right maths operation (add, subtract, multiply, or divide)
  • You can solve the problem step by step
  • You can check your answer to make sure it makes sense

Why this matters

Word problems are everywhere in real life! When you go shopping, plan a party, or even play games, you're using maths to solve problems. The RUCSAC method helps you think through these problems step by step, so you don't miss anything important. It's like having a helpful friend who guides you through tricky maths questions.

How it works

The RUCSAC method has six steps:
  1. Read the problem carefully
  2. Understand what the problem is asking
  3. Choose the right operation to solve it
  4. Solve the problem step by step
  5. Answer the question clearly
  6. Check your answer makes sense
Let's look at each step in detail.

Examples you can see

Let's try a simple problem together using RUCSAC. Problem: Sarah has 8 apples. Her friend gives her 5 more apples. How many apples does Sarah have now? Step 1: Read Read the whole problem carefully. Look for numbers and important words. Step 2: Understand What is the problem asking? Sarah starts with 8 apples. She gets 5 more. We need to find the total. Step 3: Choose What maths operation do we need? We are adding more apples, so we use addition (+). Step 4: Solve 8 + 5 = 13 Step 5: Answer Sarah has 13 apples. Step 6: Check Does 13 make sense? Yes, 8 plus 5 is 13. That's more than 8, which makes sense. Here's another example with a bigger number: Problem: A school has 120 children. 35 children go home early. How many children stay at school? Step 1: Read Read carefully. Numbers: 120 and 35. Key words: "go home early", "how many stay". Step 2: Understand We start with 120 children. Some go home. We need to find how many stay. Step 3: Choose We take away children, so we use subtraction (-). Step 4: Solve 120 - 35 = 85 Step 5: Answer 85 children stay at school. Step 6: Check Does 85 make sense? Yes, 120 minus 35 is 85. That's less than 120, which makes sense.

Try it as a mini adventure

Adventure: The Treasure Hunt You are on a treasure hunt! You need to solve maths problems to find the treasure. First clue: You have 15 coins. You find 7 more coins. How many coins do you have now?
  • Read: 15 coins, find 7 more
  • Understand: We need to add
  • Choose: Addition
  • Solve: 15 + 7 = 22
  • Answer: 22 coins
  • Check: 22 is more than 15, which makes sense
Second clue: You walk 24 steps forward, then 9 steps back. How many steps forward are you from your start?
  • Read: 24 steps forward, 9 steps back
  • Understand: We need to find the net distance forward
  • Choose: Subtraction
  • Solve: 24 - 9 = 15
  • Answer: 15 steps forward
  • Check: 15 steps forward is less than 24, which makes sense
Third clue: You have 3 boxes. Each box has 6 marbles. How many marbles do you have altogether?
  • Read: 3 boxes, 6 marbles each
  • Understand: We need to find the total
  • Choose: Multiplication
  • Solve: 3 × 6 = 18
  • Answer: 18 marbles
  • Check: 18 is more than 6, which makes sense
Fourth clue: You have 20 sweets to share equally between 4 friends. How many sweets does each friend get?
  • Read: 20 sweets, 4 friends
  • Understand: We need to share equally
  • Choose: Division
  • Solve: 20 ÷ 4 = 5
  • Answer: 5 sweets each
  • Check: 5 × 4 = 20, which makes sense

Common mistakes

  • Mistake: Skipping the "Read" step and jumping straight to solving.
    Why it happens: Some children get excited and want to solve fast.
    Fix: Always read the whole problem at least twice before solving.
  • Mistake: Not understanding what the question is asking.
    Why it happens: Some words in problems can be confusing.
    Fix: Circle or underline the question word, like "how many", "how much", or "what is the total".
  • Mistake: Choosing the wrong operation (addition instead of subtraction).
    Why it happens: Children sometimes get confused by words like "more" and "less".
    Fix: Look for key words. "More" usually means add, "less" usually means subtract.
  • Mistake: Not checking the answer.
    Why it happens: Children rush through and forget to double-check.
    Fix: Always go back and see if your answer makes sense in the real world.

Parent and carer guide

Helping your child with RUCSAC is easy and fun! Here's how to support them in 5-10 minutes: What to say:
  • "Let's read this problem together"
  • "What do you think we need to do?"
  • "Can you explain what the question is asking?"
  • "What numbers are important in this problem?"
  • "Does your answer make sense?"
What not to do:
  • Don't rush them or tell them the answer
  • Don't say "just do it" - make them explain their thinking
  • Don't worry if they make mistakes - they're learning!
  • Don't compare them to other children
How to help:
  • Practice with simple problems at home
  • Use real-life situations like shopping or cooking
  • Ask questions to help them think, not tell them
  • Encourage them to explain their steps out loud
  • Let them check their own work

Practice questions

  1. Tom has 12 stickers. He gives 5 to his friend. How many stickers does he have left?
  2. There are 6 rows of chairs. Each row has 8 chairs. How many chairs are there in total?
  3. Mum buys 3 bags of apples. Each bag has 9 apples. How many apples does she buy?
  4. A pizza has 12 slices. 4 friends share it equally. How many slices does each friend get?
  5. Lily has 24 toy cars. She gets 7 more for her birthday. How many toy cars does she have now?
Answers:
  1. 12 - 5 = 7 stickers
  2. 6 × 8 = 48 chairs
  3. 3 × 9 = 27 apples
  4. 12 ÷ 4 = 3 slices
  5. 24 + 7 = 31 toy cars

FAQ

What is RUCSAC?

RUCSAC is a helpful way to solve maths word problems. It stands for Read, Understand, Choose, Solve, Answer and Check.

When do I use RUCSAC?

You can use RUCSAC for any maths word problem you see in your homework or in real life. It works for addition, subtraction, multiplication, and division problems.

Is RUCSAC the only way to solve problems?

No, RUCSAC is just one helpful method. You can use other strategies too, but RUCSAC gives you a clear plan to follow.

Can I use RUCSAC for big problems?

Yes! RUCSAC works for any size problem, from simple addition to complex multi-step problems.

How can I remember RUCSAC?

You can make a rhyme like "Read, Understand, Choose, Solve, Answer, Check" or use a memory trick. Some children remember it as "Ride Up Cars And See The Answer"!