Practice Problems with Fractions | Mental Math Fractions Mastery for Grades 3-6

Practice problems with fractions for mental math

These practice problems with fractions are a 13 page worksheet with 80 questions that train students to work with fractions in their heads. The set covers equivalent fractions, adding and subtracting, comparing and finding a fraction of a whole number.

The directions ask for speed and accuracy without long written work, so students learn to use number sense with fractions.

Teachers who need practice problems with fractions for warm-ups or review will find four sections of 20 questions here, and the packet comes with an answer key, an answer sheet and a lesson plan.

What’s on the pages

The worksheet has four sections of 20 questions each, and each one has its own heading and directions.

• Equivalent fractions and simplification: 10 multiple choice and 10 true or false questions, such as the simplest form of 8/12, or whether 2/8 simplifies to 1/3.
• Adding and subtracting fractions: students write the resulting fraction, such as 1/8 + 4/8 or 1/6 + 4/6. The directions say not to simplify unless asked.
• Comparing fractions: 10 multiple choice and 10 true or false questions, such as which is smaller, 1/5 or 1/10, or whether 7/9 is less than 2/9.
• Fraction of a whole number: students find the value, such as 1/4 of 16 or 3/5 of 10, and write only the number.

The problems use small numbers and like denominators, so students can answer in their heads and focus on the idea.

What’s in the download

• Student worksheet: 13 pages
• Answer key: 14 pages, with a short explanation after each answer
• Answer sheet: 4 pages
• Lesson plan: 1 page

The four parts add up to 32 pages, and everything comes as PDF.

How to use these practice problems with fractions

The lesson plan is set for 60 minutes. Its objectives are to find equivalent fractions and simplify fractions mentally, to add and subtract fractions with like denominators, to compare fractions, and to find a fraction of a whole number.

The plan starts with a 10 minute review of fraction basics that focuses on visual models. The teacher hands out the worksheet and explains that it is a mental math exercise that values speed and accuracy over long written work. Students complete Sections 1 and 2 in 20 minutes, and the class reviews the answers and the strategies used. Students then complete Sections 3 and 4 in 20 minutes. A 10 minute wrap-up asks which section was easiest and revisits the hard questions.

The materials list the worksheets, pencils and erasers, and a whiteboard and markers for demonstration.

Fraction strips or a quick sketch on the board help students who need a picture before they trust their mental answer.

The answer sheet keeps the worksheet clean for reuse, and the answer key gives a short explanation after every answer.

Teachers who look for a mental math fractions set or an equivalent fractions practice page will find both here, and the practice problems with fractions with answer key pages lets a helper check the work in minutes.

Where it fits

Use it for a warm-up, math centers, small groups, homework or a sub plan. Homeschool families can work through one section a day.

Take a look at the preview pages before you buy, so you can see the worksheet, the answer key and the answer sheet.

For more practice, browse the math worksheets, the wider set of printable worksheets or the whole shop.

Many teachers use these practice problems with fractions as a baseline and repeat the set after a few weeks to see growth.

Students who answer quickly can be asked to explain how they knew, which builds the reasoning skills that written fraction work needs later.

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