Math Challenge Problems | Daily Mental Math, Word Problems and Place Value

Math challenge problems for a daily workbook

These math challenge problems are a 13 page workbook with 85 questions for grades 3 to 6. They give students daily practice that builds speed and then raises the thinking with word problems and number rules.

Students add and subtract mentally, complete multiplication and division equations from a Number Bank, solve word problems with a missing number and work with place value and number properties up to 50,000.

Teachers who need math challenge problems for a daily routine will find four sections 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, and each one has its own heading and directions.

• Mental addition and subtraction: 15 multiple choice and 10 true or false questions, such as 94 + 58, 120 – 45 and 320 – 110 = 210.
• Multiplication and division practice: 20 questions where students complete each equation from a Number Bank, such as 8 x 9 and 64 divided by 8. Not all of the numbers are used.
• Word problems challenge: 20 questions where students fill in the missing number, such as a bike for 175 dollars plus a helmet for 35 dollars, and a factory that makes 75 toys an hour for 8 hours.
• Place value and number properties: 10 multiple choice and 10 true or false questions, such as the value of the 5 in 52,310 and whether 15,000 equals 150 hundreds.

The word problems use two steps, such as notebooks and pens in the same purchase, which raises the challenge a little.

What’s in the download

• Student worksheet: 13 pages
• Answer key: 15 pages, with a short explanation after each answer
• Answer sheet: 4 pages
• Lesson plan: 1 page

The four parts add up to 33 pages, and everything comes as PDF.

How to use these math challenge problems

The lesson plan is set for 90 minutes. Its objectives are to build fluency in mental addition and subtraction with multi-digit numbers, to strengthen multiplication and division with speed drills and fill in the blank practice, to apply the operations to multi-step real-world word problems, and to master place value, rounding and number properties for numbers up to 50,000.

The plan begins with a 10 minute warm-up on mental addition and subtraction strategies. It then reviews multiplication and division tables with the Number Bank, groups students to solve the word problems step by step and ends with place value, rounding and number properties.

The materials list the workbook, pencils and scratch paper, and a whiteboard and markers for group demonstrations.

Let groups explain one word problem to the class. Putting a strategy into words is a strong way to learn it.

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

Families who look for daily math challenge problems or a math workbook for grades 3 to 6 will find both here, and the math challenge problems with answer key pages let a helper check the work in minutes.

Where it fits

Use it for a daily routine, enrichment, math centers, homework or a summer workbook. 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 math challenge problems in a daily routine, one section at a time, and repeat the set after a few weeks to see growth.

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