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Math Practice Tests With Explanations

Short, original readiness tests for GED, TEAS, ASVAB, algebra, and geometry. Use them for warm-up, tutoring, or pre-test review.

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High school equivalency

GED Math Readiness Mini-Test

Answer without a calculator first, then use the explanation key to review missed skills.

20 minutes

  1. A store sells a $48 item at 30% off. What is the sale price?

    A. $14.40B. $18.00C. $33.60D. $62.40

  2. Solve 3x - 7 = 20.

    A. 7B. 8C. 9D. 13

  3. What is the area of a rectangle that is 11 ft long and 6 ft wide?

    A. 17 sq ftB. 34 sq ftC. 66 sq ftD. 121 sq ft

  4. Which value is equivalent to 3/8?

    A. 0.125B. 0.25C. 0.375D. 0.83

  5. The mean of 8, 10, 12, and 18 is:

    A. 10B. 11C. 12D. 14
Answer explanations
  1. C. 30% of 48 is 14.40, and 48 - 14.40 = 33.60.
  2. C. Add 7 to get 3x = 27, then divide by 3.
  3. C. Area = length x width = 11 x 6 = 66.
  4. C. 3 divided by 8 equals 0.375.
  5. C. The total is 48; 48 divided by 4 is 12.

Nursing entrance

TEAS 7 Math Practice Test

Focus on ratios, percents, measurement, and practical algebra.

18 minutes

  1. A medication order is 250 mg. The bottle contains 125 mg per tablet. How many tablets are needed?

    A. 1B. 2C. 3D. 4

  2. Convert 2.4 liters to milliliters.

    A. 24 mLB. 240 mLC. 2,400 mLD. 24,000 mL

  3. A patient drinks 3/5 of a 20-ounce bottle. How many ounces did the patient drink?

    A. 8B. 10C. 12D. 15

  4. Solve 4x + 6 = 30.

    A. 4B. 5C. 6D. 9

  5. What is 18% of 150?

    A. 18B. 24C. 27D. 32
Answer explanations
  1. B. 250 divided by 125 equals 2 tablets.
  2. C. 1 liter = 1,000 milliliters, so 2.4 L = 2,400 mL.
  3. C. 3/5 of 20 is 12.
  4. C. Subtract 6 to get 4x = 24, then x = 6.
  5. C. 0.18 x 150 = 27.

Military entrance

ASVAB Arithmetic Reasoning Test

Translate each real-world situation into arithmetic before choosing an answer.

15 minutes

  1. A truck travels 270 miles on 15 gallons of gas. What is its miles per gallon?

    A. 15B. 16C. 18D. 20

  2. If 6 workers finish a job in 8 hours, how many worker-hours are needed?

    A. 14B. 36C. 48D. 64

  3. A $90 tool is marked down by 20%. What is the discount amount?

    A. $12B. $18C. $20D. $72

  4. A rope is 7.5 meters long. It is cut into 3 equal pieces. How long is each piece?

    A. 2 mB. 2.5 mC. 3 mD. 4.5 m

  5. What number is 40% of 65?

    A. 22B. 24C. 26D. 28
Answer explanations
  1. C. 270 divided by 15 equals 18 mpg.
  2. C. 6 workers x 8 hours = 48 worker-hours.
  3. B. 20% of 90 is 18.
  4. B. 7.5 divided by 3 equals 2.5.
  5. C. 0.40 x 65 = 26.

Algebra I / Geometry

Algebra and Geometry Checkpoint

Use this checkpoint before moving into full-length SAT, ACT, or state-test practice.

22 minutes

  1. Factor x^2 + 7x + 12.

    A. (x + 3)(x + 4)B. (x + 2)(x + 6)C. (x - 3)(x - 4)D. (x + 1)(x + 12)

  2. A triangle has angles 45 degrees and 65 degrees. What is the third angle?

    A. 60 degreesB. 70 degreesC. 80 degreesD. 90 degrees

  3. The slope of a line through (2, 5) and (6, 13) is:

    A. 1B. 2C. 4D. 8

  4. A circle has diameter 10. What is its radius?

    A. 5B. 10C. 20D. 100

  5. Simplify 2(3x - 4) + x.

    A. 5x - 4B. 6x - 8C. 7x - 8D. 7x - 4
Answer explanations
  1. A. 3 and 4 multiply to 12 and add to 7.
  2. B. Triangle angles sum to 180; 180 - 110 = 70.
  3. B. Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.
  4. A. The radius is half the diameter.
  5. C. Distribute to get 6x - 8, then add x.