Decomposition (breaking problems down) in Intro to Computing - Practice Problems & Coding Challenges

Challenge - 5 Problems

🧠 Conceptual

intermediate

Why use decomposition in problem solving?

Imagine you want to bake a cake. Which of the following best explains why breaking the task into smaller steps helps?

A Because smaller steps are easier to manage and check for mistakes.

B Because doing everything at once is faster and less confusing.

C Because breaking tasks makes the cake bake itself automatically.

D Because smaller steps mean you don’t need ingredients.

💡 Hint

Think about how you handle big tasks in daily life.

Breaking a big task into smaller parts helps you focus on one thing at a time and find errors easily.

❓ trace

intermediate

Trace the steps of decomposing a morning routine

Which of the following lists correctly breaks down the task 'Get ready for school' into smaller steps?

A Pack bag, brush teeth, wake up, eat breakfast, leave house.

B Wake up, eat breakfast, leave house, brush teeth, pack bag.

C Leave house, pack bag, eat breakfast, brush teeth, wake up.

D Wake up, brush teeth, eat breakfast, pack bag, leave house.

💡 Hint

Think about the logical order you do things in the morning.

The correct order starts with waking up and ends with leaving the house after packing the bag.

❓ identification

advanced

Identify the best decomposition for a software task

You need to create a program that manages a library. Which decomposition breaks the problem into the most useful parts?

A Write code, test code, debug code, deploy code, update code.

B Add books, remove books, search books, lend books, return books.

C Buy books, read books, sell books, donate books, recycle books.

D Open library, close library, clean library, paint library, decorate library.

💡 Hint

Think about the main functions a library management program needs.

Decomposition should focus on the main features the program must handle, like managing books and lending.

❓ Comparison

advanced

Compare two decompositions of a task

Two students decomposed the task 'Plan a birthday party' differently. Which decomposition is better and why?

Student 1: Choose date, invite guests, buy cake, decorate room, play games.
Student 2: Buy cake, decorate room, invite guests, choose date, play games.

A Student 1’s decomposition is better because it follows a logical order of planning.

B Student 2’s decomposition is better because buying cake first saves time.

C Both decompositions are equally good because they have the same steps.

D Neither decomposition is good because they don’t include cleaning after the party.

💡 Hint

Think about what needs to happen before inviting guests.

Choosing the date before inviting guests is logical, so Student 1’s order makes more sense.

🚀 Application

expert

Apply decomposition to solve a complex problem

You want to build a simple calculator app. Which of the following decompositions breaks the problem into the most useful parts?

A Draw calculator, paint calculator, sell calculator, buy calculator, use calculator.

B Write code, debug code, write code again, debug again, release app.

C Design user interface, implement addition, implement subtraction, implement multiplication, implement division, test app.

D Buy a calculator, learn math, use calculator, fix calculator, throw calculator.

💡 Hint

Think about the main features needed in a calculator app.

Decomposition should focus on designing the interface and implementing each operation separately before testing.