Ray’s FREE Arithmetic!

Rays Practical Arithmetic 1857 cover

Here you can download for free any and all of the Ray’s New Arithmetic books.

 Ray’s New Primary Arithmetic (1-2)

Ray’s New Intellectual Arithmetic (3-4)

Ray’s New Intellectual Arithmetic (3-4) Answer Key

Ray’s New Practical Arithmetic (5-6)

Ray’s New Practical Arithmetic (5-6) Answer Key

But, wait. There’s MORE…

Ray’s New Higher Arithmetic (7-8)

Ray’s New Higher Arithmetic (7-8) Answer Key

Ray’s New Geometry and Trigonometry (9-10)

Ray’s New Elementary Algebra (9-10)

Ray’s New Higher Algebra (11)


These are rigorous textbooks.  Not suitable for slackers!

For Algebra and the higher mathematics books, the following order is recommended:


Geometry / Trigonometry

Elementary Algebra

Higher Algebra

Doing them in this order eliminates the traditional gap that occurs between Algebra I and Algebra II, where Geometry is often inserted into the standard math curriculum.  I know that when I took these math subjects back in high school, I thoroughly enjoyed all of them, BUT, I did not appreciate that year of geometry jammed in the middle.  It threw off the momentum and lengthened the learning curve just a bit!

I don’t think you’ll have that problem.


Rays original woodcut border artwork

Return to Ray’s Arithmetic Home


  1. Is there an answer key to the algebra and geometry texts?

  2. You are fabulous! Thank you so much for all your work. I have been waiting for this kind of set up.

  3. Veronica says:

    for the three higher math books, is there a teacher key? Thank you.

  4. veronica says:

    How do you correct the higher math if your child is using it? Any suggestions? Is there and answer key I can buy?

  5. Amy W Jennings says:

    I used Strayer-Upton for elementary math and now have found this. 🙂 I am thinking I want to use the higher math ie algebra. I see that you suggest doing Geometry first. I see in the books it lists also Analytic Geometry as well as Ray’s Treatise on Geometry and Trig. I am trying to figure out what order to teach the Algebra/Geometry series of books. From my research I am hearing that more mental maturity is needed to do Geometry and Trig. Can I do both Algebra’s first and then the Geometry? Also what is the difference between the 2 Geometry books I mentioned. On other sites they also suggest supplementing the Geometry so that you can do actual problems. What are your thoughts on that? Thanks so much!

  6. Thank You so much for all of your work. What a great resource!

  7. etomaria says:


    I’m curious, in the preface to the Elementary Algebra text, it’s indicated that it would be best it that book immediately followed arithmetic. What is your reason for suggesting a different order? (I’m aware that question could sound combative, but I don’t mean it to be, I really just would like to know what you used as your basis for suggesting first trig/geometry and then algebra if the author thinks otherwise. Can’t think of a different wording, though! 😀 )


    • This is the order recommended by Dr. Gary North, curriculum director for the Ron Paul Curriculum. I have heard that some do both of the Algebras back-to-back and then tackle Geometry & Trig after. Honestly, there’s no hard and fast rule.

  8. Amy Thomas says:

    Hi, I’m wondering if there is going to be answer keys to the Algebra and geometry books? I know it was asked once before but I didn’t see a reply. Thank you!

    • No, the only answer keys that I’ve seen are the ones linked to here. And then they are selected answers only, for the more difficult problems. Check with Mott Media. They republished the entire Ray’s series, with some answer keys.

  9. ROBERT ROLAND says:

    Thank you, Paul!

  10. Thank you for this. I love the curriculum we are using (ACE) but the checkook simply says we can’t swing all PACES next year.

  11. Glad you like Ray’s. Have you looked into RPC for a full curriculum? It is very inexpensive and you get (your kids get) a lot of lifetime advantages that no other curriculum offers, in my honest opinion.

    • We did look into RPC. We have 4 in school next year… So anything workbook based is expensive… So I’m looking for something more in the textbook region and not online until we get to the subjects I can’t teach.

  12. Hi Mr. Ramirez! We have been loving your teaching on RPC. We are teaching 4 different RPC levels currently and each one has been great. Correcting all 4 levels of Rays Arithmetic hasn’t been as awesome, but I’m hoping to find a groove soon. (and more answer keys to save brain cells/time!! ;))

    That’s not why I came on here, though- ha! Just wanted to let you know that I haven’t been able to download Ray’s 7-8 recently. I have it open on my phone so we can access it when we are learning on the go (we ski/snowboard this time of year). I tried Safari and Chrome to make sure it wasn’t a browser issue. Maybe it’s a wordpress plugin that needs updated? Not sure, but just wanted it on your radar 🙂

    Thanks for making this so accessible. We are forever grateful.

    • Thanks so much, Mindy. The download link seems to be working OK. No plugin is involved, thankfully. It’s just a PDF downloading from the media library in WP. Try it again! 🙂

      • That is so strange. Not even an hour after I sent this, it loaded perfectly. Must have been something glitchy on my end. Thanks so much for checking, though.

    • I was just able to download Ray’s New Higher Arithmetic and the answer key on my Windows 10 laptop using Chrome browser.

  13. do you all have the Teache book available in PDF? Thanks


  1. […] Ray’s Arithmetic – this rigorous, no-nonsense series will take you right through high school to pre-calculus. Eleven (or twelve) years of math – for free. I love Ray’s Arithmetic for it’s early focus on mental math. The first book (grades 1 & 2), focus on the four processes, truly cementing that foundation for later mathematics, and all with a heavy focus on mental math and problem solving skills. […]

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  3. […] Ray’s Arithmetic “These are rigorous textbooks.  Not suitable for slackers!” […]


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