Full-Length ATI TEAS 7 Math Practice Test-Answers and Explanations
TL;DR: Nursing school admission usually runs through the TEAS, and the math section can decide your shot. This full-length ATI TEAS 7 Math practice test gives you 38 questions in 57 minutes, with detailed answers and explanations once you finish. On-screen calculator allowed, just like the real exam. Time yourself, grade honestly, and the topics that need your next study session will be impossible to miss.
Key takeaways:
- Full-length TEAS 7 Math test: 38 questions in 57 minutes.
- Detailed answer explanations for every question.
- On-screen four-function calculator allowed throughout.
- Covers numbers and algebra (~18 questions) and measurement/data (~16 questions).
- Use as a diagnostic to identify your weak topics before focused review.
Did you take the ATI TEAS 7 Math Practice Test? If so, then it’s time to review your results to see where you went wrong and what areas you need to improve.
ATI TEAS 7 Mathematical Reasoning Practice Test Answers and Explanations
1- Choice B is correct
\(\frac{1}{x} = \frac{\frac{1}{1} }{\frac{7}{13}} = \frac{13}{7}\)
2- Choice D is correct
Let a and b be the numbers. Then: \(a + b = x \)
\(a=-6→-6+b=x→b=x+6, 4b = 4(x+6)\)
3- Choice B is correct
Circumference \(= 2πr, C=2π×7=14π ,π=3.14 →C=14π=43.98≅44\)
4- Choice C is correct
\((5.6+3.4+2.6+1.4)x = x-24, 13x = x-24⇒12x=-24\) Then \(x=-2\)
5- Choice B is correct
\(\frac{12}{30} = 0.4\)
6- Choice D is correct
Converting mixed numbers to fractions, our initial equation becomes
\(\frac{8}{3} × \frac{68}{9}\), Applying the fractions formula for multiplication, \(\frac{8× 68}{3 × 9} = \frac{544}{27} = 20 \frac{4}{27}\)
7- Choice A is correct
\(12÷\frac{3}{8}=32\)
8- Choice A is correct
If \(2.4< x ≤5.6\), then \(x\) cannot be equal to 2.4.
9- Choice A is correct
\(\frac{36}{52} = \frac{9}{13}\)
10- Choice B is correct
Let \(x\) be the average of numbers. Then: \(\frac{180}{12} < x < \frac{288}{12}, 15 < x < 24 \)
From the choices provided, only 20 is correct.
11- Choice C is correct
yards \(= 12\) feet, \(\frac{(27 feet + 12 yards)}{9} = \frac{(27 feet + 144 feet) }{9} = \frac{(171 feet )}{9} = 19\) feet
12- Choice C is correct
Perimeter of a rectangle = 2(width \(+\)length), P \(=\) 108, width\(= 5×\)length
Then: 108=2(5length\(+\)length)\(→108=12\)length\(→\)length\(=9\)
13- Choice A is correct
Volume\( =\) length\( ×\) width \(×\) height, \(4500 = 60 × 15 ×\) height \(→\) height \(= 5\)
14- Choice B is correct
The distance between Chris and Joe is 16 miles. Chris is running at 4.5 miles per hour, and Joe is running at the speed of 8.5 miles per hour. Therefore, every hour, the distance is 4 miles less.
\(16 ÷ 4 =4\)
15- Choice A is correct
\(\frac{5^4}{10} = 62.5\)
16- Choice D is correct
\(5 \frac{2}{3} − 2 \frac{3}{4} = \frac{17}{3}-\frac{11}{4}=\frac{68-33}{12}=\frac{35}{12}=2 \frac{11}{12}\)
17- Choice D is correct
All angles in a triangle sum up to 180 degrees. \(33 + 52 = 85, 180 – 85 = 95\), The third angle is 95 degrees.
18- Choice B is correct
If \(a = 14\) then: \(b = \frac{14^2}{28} + c ⇒ b =\frac{14^2}{28} + c = 7 + c\)
The Absolute Best Book to Ace the ATI TEAS 7 Math Test
24- Choice D is correct
Jason spent \(34\%\) of his total time (25 hours) on History. Then: \(\frac{34}{100} × 25 = 8.5\)
25- Choice A is correct
Jason spent \(24\%\) of his time on Writing and Physics. Then: \(\frac{24}{100} × 25 =6\)
26- Choice A is correct
Plug in 100 for F in the equation: \(C = \frac{5}{9} (F – 32) = \frac{5}{9} (100 – 32) = \frac{5}{9} (68) = 37.7\)
27- Choice C is correct
\(17\%\) of \(x = 25.5, x = \frac{100 × 25.5}{17} =150\)
28- Choice A is correct
\(\frac{4}{5} x+\frac{4}{7}= \frac{8}{14} → \frac{4}{5} x = \frac{8}{14} – \frac{4}{7} → \frac{4}{5} x = \frac{8-8}{14} → \frac{4}{5} x = \frac{0}{14}, x =0\)
29- Choice B is correct
\(\frac{1}{16}=0.0625→C=5\)
\(\frac{1}{25}=0.04→D=4→C×D=5×4=20\)
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30- Choice D is correct
To find the discount, multiply the number by (\(100\% -\) rate of discount).
Therefore, for the first discount we get: \((D) (100\% – 12\%) = (D) (0.88) = 0.88 D \)
For increase of \(15 \%: (0.88 D) (100\% + 15\%) = (0.84 D) (1.15) = 0.966 D = 96.6\%\) of D or 0.966D
31- Choice C is correct
Let \(x\) be the number. Then: \(6x+8=44\)
Solve for \(x: 6x+8=44→6x=44-8=36→x=36÷6=6\)
32- Choice A is correct
Use simple interest formula: I=prt (I = interest, p = principal, r = rate, t = time)
I\(=(14000)(0.038)(3)=1596\)
33- Choice D is correct
\(\frac{1}{5} + \frac{3}{4} + \frac{1}{3} =\frac{12+45+20}{60} = \frac{77}{60} = 1.283\)
34- Choice C is correct
Let \(x\) be the number of new shoes the team can purchase. Therefore, the team can purchase 160 \(x\). The team had $32,000 and spent $18,000. Now the team can spend on new shoes $14,000 at most. Now, write the inequality: \(160x+18,000 ≤32,000\)
35- Choice B is correct
To get a sum of 8 for two dice, we can get 5 different options: (2, 6), (3, 5), (4, 4), (5, 3), (6, 2) To get a sum of 5 for two dice, we can get 4 different options: (1, 4), (2, 3), (3, 2), (4, 1) Therefore, there are 9 options to get the sum of 8 or 5. Since we have \(6 × 6 = 36\) total options, the probability of getting a sum of 8 and 5 is 9 out of 36 or \(\frac{1}{4}\).
36- Choice D is correct
Solve for \(x. 8≤-2x+4<16 ⇒\) (subtract 4 all sides) \(8-4≤-2x-4+4<16-4 ⇒ 4≤-2x<-12 ⇒\) (divide all sides by \(-2)-2≥x>-6 x \)is between \(-2\) and \(-6\). Choice D represents this inequality.
The Best Books to Ace the ATI TEAS 7 Math Test
Recommended EffortlessMath Books
For a workbook to pair with this practice test, the ATI TEAS 7 Math for Beginners walks through every TEAS topic with worked examples. For full nursing-school admissions prep with multiple timed practice tests, see the ATI TEAS 7 Math Test Prep Bundle.
Frequently Asked Questions
How many math questions are on the TEAS 7?
38 questions in 57 minutes — 34 scored and 4 unscored field-test items. You won’t know which 4 are unscored, so answer everything as if it counts. The Math section is one of four TEAS sections (Reading, Math, Science, English), all taken in one sitting.
Is a calculator allowed?
Yes — an on-screen four-function calculator built into the test interface. You cannot bring your own. The tool handles basic add/subtract/multiply/divide but not fractions, exponents, or square roots. Practice fraction operations and square-root work by hand throughout your prep.
What’s a passing TEAS Math score?
There’s no universal passing score — each nursing program sets its own. Most competitive BSN programs require a 70-80% composite; many ADN programs accept 60-65%. The Math individual section often needs to be at least 60-65% even if the composite is higher.
What topics are on the TEAS 7 Math?
Numbers and Algebra (~18 questions): arithmetic with fractions/decimals, ratios and proportions, percent change, basic algebra, order of operations. Measurement and Data (~16 questions): unit conversion (metric/imperial), measurement, reading data displays, mean/median, basic geometry (area, perimeter, volume).
Should I time this practice test?
Yes — but only after your first try untimed. The first time through, focus on getting every question correct. After you’ve reviewed the answer explanations and feel confident with the content, take it again under 57-minute conditions to build test-day stamina and timing intuition.
How detailed are the answer explanations?
Each explanation walks through the steps to reach the correct answer, not just the final number. For algebra and word problems, the explanation shows the setup, the math operations, and why each step works. This is more useful than just “the answer is C” because it lets you spot exactly where your thinking went wrong on missed items.
Can I retake the TEAS 7?
Yes — up to three attempts per year with a 30-day wait between sittings. Most nursing programs accept your highest composite score. A few look at all attempts. Check each program’s policy before scheduling.
How is the TEAS scored?
You get section scores for Reading, Math, Science, and English plus a composite score. Each appears as a percentage. The TEAS score report also includes a national percentile rank and a sub-skill breakdown that shows which content areas you missed most.
How long should I study for the TEAS Math?
For most candidates, 4-8 weeks of focused review at 30-45 minutes per day works well. Start with this full-length practice test to identify weak topics. Spend the middle weeks drilling those topics with worked examples. Finish with one or two more timed practice tests in the last 2 weeks.
Where can I find more TEAS 7 Math practice?
EffortlessMath has the TEAS 7 Math Formula Cheat Sheet, the ATI TEAS 7 Math for Beginners workbook covering every topic, the ATI TEAS 7 Math Test Prep Bundle with multiple full-length practice tests, and the comprehensive TEAS 7 practice tests collection page.
Related EffortlessMath Lessons
If a topic on this page feels rusty, these short lessons go deeper:
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