Most fifth graders find reasoning questions to be the most difficult. Unsurprisingly, we teach thousands of students in the weeks leading up to standardized tests. Teaching them math reasoning skills at the elementary level is a big part of what we do here at Third Space Learning.

For more word problems like this, check out our collection of 2-step and multi-step word problems. For advice on how to teach children to solve problems like this, check out these math problem solving strategies.


Math Problems For 7th Graders


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The simplest type of reasoning question students are likely to encounter, single step problems are exactly that: students are asked to interpret a written question and carry out a single mathematical step to solve it.

This question encompasses three different math skills: multiplying (and dividing) decimals, addition and subtraction. Students can choose to work out the multiplication or division first, but must complete both before moving on.

Multi-step problems are particularly valuable to include in practice tests because they require children to apply their knowledge of math language and their reasoning skills several times across the course of a single question, usually in slightly different contexts.

More than most problems, this type requires students to actively demonstrate their reasoning skills as well as their mathematical ones. Here students must articulate either in words or (where possible) numerically that they understand that Q to R is 1/5 of the total, that therefore P to Q is 4/5 of the total distance, and then calculate what this is via division and multiplication.

Our free math worksheets cover the full range of elementary school math skills from numbers and counting through fractions, decimals, word problems and more. All worksheets are printable files with answers on the 2nd page.

Our grade 5 math worksheets cover the 4 operations, fractions and decimals at a greater level of difficulty than previous grades. We also introduce variables and expressions into our word problem worksheets.

Our printable grade 6 math worksheets delve deeper into earlier grade math topics (4 operations, fractions, decimals, measurement, geometry) as well as introduce exponents, proportions, percents and integers.


Have you ever wondered how math is used by scientists to make their discoveries?This resource offers over 1000 math problems that reveal the many waysmath and science work together to help us understand the universe. For more on this program, see the NASA press release at:[Press Release] Featured Books This book features innovative smart device-based experiments for elementary, middle and high school students along with relevant NGSS standards. Format: 151 pages, 25 experiments, 30 math problems, 85 illustrations, 3.1 Mby, PDF | [Click here] This book supports the James Webb Space Telescope and is designed for high school students exploring infrared light and how astronomers use it to investigate a variety of objects. Format: 115 pages, 12 experiments, 29 math problems, 66 illustrations, 2.8 Mby, PDF | [Click here]

 Search the entire 700-problem archive Follow this link to the page where you can perform a full keyword search on all 700 problems to find the one that exactly suits your needs for a specific science and math topic! SEARCH THE ARCHIVE Math problems sorted by space science topic Here you will find hundreds of math problems related to all of the major astronomical objects from asteroids and planets to galaxies and black holes! Click on the topic below to see which problems are available. Earth | Moon | Sun | Planets | Stars | Universe | Space Travel | Astrobiology | Black Holes Math problems sorted by grade level If you are a teacher or just someone who enjoys mathematics challenges, these problems cover space science topics but are sorted more-or-less by the kinds of mathematics you will encounter from simple counting and fractions problems through calculus. Click on the grade bands below to see the collections of problems.Grades 3-5 | Grades 6-7 | Algebra 1 | Algebra 2 | Geometry | Calculus Math problems sorted by NASA Mission If you are looking for math problems specific to a particular mission's investigations, here you will find problems organized by NASA mission name. Click on the mission or program name in the grid below to go to the associated problem listing.

ACE | Cassini | Chandra | Dawn | Deep Impact | Fermi | GALEX | Grail | Hinode | Gravity Probe-B | Hubble | IBEX | IMAGE | InSight | Juno | Kepler | LADEE | Landsat | Lunar Orbiter | LRO | Manned Space Program | MMS | Curiosity | Mars Rovers" | MESSENGER | NEAR | New Horizons | RHESSI | SAGE-III | SCOOL |SOHO | SDO | Solar Probe Plus | Spitzer | STEREO | Terra | THEMIS | TRACE | Van Allen Belts Probe | Webb Space Telescope | WISE | WMAP | XMM |Math problems sorted by Engineering Topics If you are looking for math problems related to engineering topics, here you will find problems organized by topic areas. Click on the topic in the grid below to go to the associated problem listing.

Design Issues | Rocketry, Launches, and Launch Vehicles | Telescopes and Remote Sensing | Properties of Orbits | Data and Telemetry | Mission Planning | Spacecraft Design Math problems related to NASA press releases If you enjoy hearing about the many space science discoveries made by NASA missions, here are problems derived from a variety of press releases covering most NASA missions. [Enter here]

MashUp Math is our creative solution to reviving students' passion and interest for learning mathematics. As young educators, we know that all students learn math differently and that a one-size-fits-all approach is simply ineffective. The idea that the ability to understand mathematics is reserved for a select few did not sit well with us.

In addition to sharing free teacher resources (which are teacher created resources) in the form of teacher worksheets, we share new YouTube math videos every week that help math teachers and students to better understand mathematics and the common core. Our lessons can be aligned with the common core standards for common core mathand are immensely popular with flipped learning educators and anyone experimenting with flipped classroom learning.

As educators, we know what it takes to be a super math teacher and that we can\u2019t always do it alone. In addition to our cool math videos, we share articles, blogs, inspirational quotes, teacher math worksheets, and math worksheets. Whether you teach in the flipped classroom, operate in blended education or online blended learning, or are interested in finding cool math online, MashUp Math will have something for you!

Many students think of us as a math tutor online or as their on-demand online tutor. Others trust us for all things related to online math education\u2014coming to use when they find themselves thinking \u201CI don\u2019t understand my homework assignment! and need some homework help!

It is also a part of our mission to make progressive steps in mathematics education. For one, our content is created with the goal of moving students from a fixed mindset to a growth mindset. We also aim to meet the unique needs of ESL math students and support math for girls as well.

Many of our users serve as a special education teacher and use our cool videos to support their special education students with special needs. Our free online math lessons are also high adaptable to your homeschool curriculum and should be added to your list of free homeschool resources.

So if you could use some help with everyday math and are a student with a unique learning style or learning styles\u2014like Visual Auditory Learning! Or if you\u2019re tired of math games and are more interested in an easy-to-follow tutorial, check us out and learn math with us. No matter your school\u2019s standards of learning, our YouTube Math Videos Lessons will work for you! 2351a5e196

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