Quizzes TEAS Mathematics Quiz Practice Test ByRyan June 4, 2025 Mathematics Quiz 1 / 100 Convert 3.5 gallons to liters (1 gallon ≈ 3.79 liters). 12.5 liters 14.16 liters 10.65 liters 13.27 liters Explanation: 3.5 × 3.79 = 13.265 ≈ 13.27 liters. 2 / 100 What is the volume of a pyramid with square base (side 6 cm) and height 10 cm? 180 cm³ 360 cm³ 120 cm³ 60 cm³ Explanation: Volume = (1/3) × base area × height = (1/3) × 6² × 10 = (1/3) × 36 × 10 = 120 cm³. 3 / 100 Convert 750 grams to pounds (1 kg = 2.2 lbs). 1.5 lbs 1.8 lbs 1.65 lbs 2.2 lbs Explanation: First convert to kg: 750g = 0.75 kg. Then 0.75 × 2.2 = 1.65 lbs. 4 / 100 What is the area of a rhombus with diagonals 8 cm and 6 cm? 24 cm² 48 cm² 14 cm² 32 cm² Explanation: Area = (1/2) × d₁ × d₂ = (1/2) × 8 × 6 = 24 cm². 5 / 100 Convert 2.4 miles to yards. 4,224 yards 3,520 yards 1,760 yards 7,920 yards Explanation: 1 mile = 1,760 yards, so 2.4 × 1,760 = 4,224 yards. 6 / 100 What is the lateral surface area of a cylinder with radius 3 cm and height 8 cm? (Use π ≈ 3.14) 75.36 cm² 113.04 cm² 188.4 cm² 150.72 cm² Explanation: Lateral SA = 2πrh = 2 × 3.14 × 3 × 8 = 150.72 cm². 7 / 100 Convert 1.75 hours to minutes. 95 minutes 115 minutes 105 minutes 85 minutes Explanation: 1 hour = 60 minutes, so 1.75 × 60 = 105 minutes. 8 / 100 What is the area of a regular pentagon with side length 6 cm and apothem 4.13 cm? 24.78 cm² 61.95 cm² 123.9 cm² 30 cm² Explanation: Area = (1/2) × perimeter × apothem = (1/2) × (5 × 6) × 4.13 = (1/2) × 30 × 4.13 = 61.95 cm². 9 / 100 Convert 8 fluid ounces to cups. 2 cups 1 cup 0.5 cup 1.5 cups Explanation: 1 cup = 8 fluid ounces, so 8 fl oz = 1 cup. 10 / 100 What is the volume of a cone with radius 4 cm and height 9 cm? (Use π ≈ 3.14) 150.72 cm³ 113.04 cm³ 50.24 cm³ 75.36 cm³ Explanation: Volume = (1/3)πr²h = (1/3) × 3.14 × 4² × 9 = (1/3) × 3.14 × 16 × 9 = 150.72 cm³. 11 / 100 Convert 5.2 meters to millimeters. 520 mm 5,200 mm 52,000 mm 52 mm Explanation: 1 meter = 1,000 millimeters, so 5.2 × 1,000 = 5,200 mm. 12 / 100 What is the area of a sector with central angle 90° in a circle with radius 6 cm? (Use π ≈ 3.14) 18.84 cm² 28.26 cm² 9.42 cm² 56.52 cm² Explanation: Area of sector = (θ/360°) × πr² = (90/360) × 3.14 × 6² = (1/4) × 3.14 × 36 = 28.26 cm². 13 / 100 Convert 4 quarts to cups. 8 cups 12 cups 16 cups 20 cups Explanation: 1 quart = 4 cups, so 4 × 4 = 16 cups. 14 / 100 What is the perimeter of a regular hexagon with side length 7 cm? 35 cm 49 cm 42 cm 28 cm Explanation: Regular hexagon has 6 equal sides: 6 × 7 = 42 cm. 15 / 100 Convert 2.3 kilometers to centimeters. 23,000 cm 2,300 cm 2,300,000 cm 230,000 cm Explanation: 1 km = 100,000 cm, so 2.3 × 100,000 = 230,000 cm. 16 / 100 What is the volume of a sphere with radius 3 cm? (Use π ≈ 3.14) 113.04 cm³ 28.26 cm³ 84.78 cm³ 37.68 cm³ Explanation: Volume = (4/3)πr³ = (4/3) × 3.14 × 3³ = (4/3) × 3.14 × 27 = 113.04 cm³. 17 / 100 Convert 180 seconds to minutes. 2 minutes 4 minutes 2.5 minutes 3 minutes Explanation: 1 minute = 60 seconds, so 180 ÷ 60 = 3 minutes. 18 / 100 What is the surface area of a rectangular prism with dimensions 5×3×2 cm? 30 cm² 62 cm² 46 cm² 75 cm² Explanation: SA = 2(lw + lh + wh) = 2(5×3 + 5×2 + 3×2) = 2(15 + 10 + 6) = 2(31) = 62 cm². 19 / 100 Convert 72 ounces to pounds. 6 lbs 4 lbs 4.5 lbs 5.5 lbs Explanation: 1 pound = 16 ounces, so 72 ÷ 16 = 4.5 lbs. 20 / 100 What is the area of a trapezoid with parallel sides 6 cm and 10 cm, and height 4 cm? 24 cm² 40 cm² 32 cm² 64 cm² Explanation: Area = (1/2)(b₁ + b₂) × h = (1/2)(6 + 10) × 4 = (1/2)(16)(4) = 32 cm². 21 / 100 Convert 4.5 tons to pounds. 4,500 lbs 2,250 lbs 18,000 lbs 9,000 lbs Explanation: 1 ton = 2,000 pounds, so 4.5 × 2,000 = 9,000 lbs. 22 / 100 What is the diagonal of a rectangle with length 9 cm and width 12 cm? 21 cm 18 cm 15 cm 10.8 cm Explanation: Use Pythagorean theorem: d = √(9² + 12²) = √(81 + 144) = √225 = 15 cm. 23 / 100 Convert 3 yards to inches. 108 inches 36 inches 72 inches 144 inches Explanation: 1 yard = 36 inches, so 3 × 36 = 108 inches. 24 / 100 What is the area of a parallelogram with base 12 cm and height 8 cm? 48 cm² 20 cm² 40 cm² 96 cm² Explanation: Area of parallelogram = base × height = 12 × 8 = 96 cm². 25 / 100 Convert 1.5 liters to milliliters. 150 mL 15,000 mL 1,500 mL 1,050 mL Explanation: 1 liter = 1,000 milliliters, so 1.5 × 1,000 = 1,500 mL. 26 / 100 What is log₂(16)? 8 4 2 16 Explanation: Since 2⁴ = 16, we have log₂(16) = 4. 27 / 100 If x + y = 10 and x - y = 2, what is x? 4 6 8 5 Explanation: Add the equations: 2x = 12, so x = 6. 28 / 100 What is 2⁻³? -8 -6 1/8 1/6 Explanation: 2⁻³ = 1/2³ = 1/8. 29 / 100 Solve: x² - 9 = 0 x = ±9 x = ±3 x = 3 x = 9 Explanation: x² = 9, so x = ±√9 = ±3. 30 / 100 What is the sum of the first 5 positive integers? 20 10 15 25 Explanation: Sum = 1 + 2 + 3 + 4 + 5 = 15. 31 / 100 If f(x) = 2x + 3, what is f(5)? 10 13 8 15 Explanation: Substitute x = 5: f(5) = 2(5) + 3 = 10 + 3 = 13. 32 / 100 Simplify: √(49x²) 49x 7x² √49x 7x Explanation: √(49x²) = √49 × √(x²) = 7 × |x| = 7x (assuming x ≥ 0). 33 / 100 What is 8 ÷ 2/3? 12 16/3 24/3 6 Explanation: Dividing by a fraction means multiplying by its reciprocal: 8 × 3/2 = 24/2 = 12. 34 / 100 If 3^x = 27, what is x? 9 2 3 4 Explanation: Since 3³ = 27, we have x = 3. 35 / 100 What is the reciprocal of 2/7? 2/7 14/4 7/2 4/14 Explanation: The reciprocal of a fraction a/b is b/a, so reciprocal of 2/7 is 7/2. 36 / 100 Solve for y: 2y/3 = 8 y = 16 y = 12 y = 10 y = 14 Explanation: Multiply both sides by 3/2: y = 8 × 3/2 = 12. 37 / 100 What is 35% of 80 plus 15% of 60? 35 39 37 33 Explanation: 35% of 80 = 0.35 × 80 = 28. 15% of 60 = 0.15 × 60 = 9. Sum: 28 + 9 = 37. 38 / 100 Simplify: (3x + 2)(x - 1) 3x² - x - 2 3x² + x - 2 3x² - 3x + 2 3x² + 3x - 2 Explanation: Use FOIL: 3x² - 3x + 2x - 2 = 3x² - x - 2. 39 / 100 If a : b = 2 : 5 and b = 15, what is a? 10 8 6 12 Explanation: Set up proportion: 2/5 = a/15. Cross multiply: 5a = 30, so a = 6. 40 / 100 What is 64^(1/3)? 8 4 16 2 Explanation: 64^(1/3) means the cube root of 64. Since 4³ = 64, the answer is 4. 41 / 100 Solve: |2x - 4| = 8 x = 6 or x = -2 x = 4 or x = -4 x = 8 or x = 0 x = 2 or x = -6 Explanation: 2x - 4 = 8 gives x = 6, and 2x - 4 = -8 gives x = -2. 42 / 100 What is 5! (5 factorial)? 60 24 120 100 Explanation: 5! = 5 × 4 × 3 × 2 × 1 = 120. 43 / 100 If x - 4 = -7, what is x + 3? 4 0 -4 2 Explanation: First solve for x: x = -7 + 4 = -3. Then x + 3 = -3 + 3 = 0. 44 / 100 Convert 2.75 to a mixed number. 2¾ 2⅗ 2⅔ 2⅝ Explanation: 2.75 = 2 + 0.75 = 2 + 75/100 = 2 + 3/4 = 2¾. 45 / 100 What is the slope of a line passing through points (2, 3) and (6, 9)? 2/3 3/4 4/3 3/2 Explanation: Slope = (y₂-y₁)/(x₂-x₁) = (9-3)/(6-2) = 6/4 = 3/2. 46 / 100 Simplify: 3x² - 2x² + 5x 5x² + 3x x² - 5x x² + 5x 3x² + 5x Explanation: Combine like terms: (3-2)x² + 5x = x² + 5x. 47 / 100 If 20% of a number is 45, what is the number? 180 225 200 250 Explanation: Let x be the number. 0.20x = 45, so x = 45 ÷ 0.20 = 225. 48 / 100 What is 7/8 - 3/8? 3/8 5/8 1/2 1/4 Explanation: Same denominator: (7-3)/8 = 4/8 = 1/2. 49 / 100 Solve for x: 3x + 1 = 2x - 5 x = -6 x = -4 x = -2 x = -8 Explanation: Subtract 2x from both sides: x + 1 = -5. Subtract 1: x = -6. 50 / 100 What is (-4)² - 3(-2)? 10 28 22 16 Explanation: (-4)² = 16 and -3(-2) = 6, so 16 + 6 = 22. 51 / 100 A rectangular pool is 20 feet long, 10 feet wide, and 4 feet deep. What is its volume? 600 ft³ 800 ft³ 240 ft³ 120 ft³ Explanation: Volume = length × width × height = 20 × 10 × 4 = 800 ft³. 52 / 100 Convert 0.5 miles to feet. 1,320 feet 2,640 feet 5,280 feet 1,760 feet Explanation: 1 mile = 5,280 feet, so 0.5 × 5,280 = 2,640 feet. 53 / 100 What is the volume of a cylinder with radius 3 cm and height 5 cm? (Use π ≈ 3.14) 47.1 cm³ 94.2 cm³ 141.3 cm³ 28.26 cm³ Explanation: Volume = πr²h = 3.14 × 3² × 5 = 3.14 × 9 × 5 = 141.3 cm³. 54 / 100 Convert 8 cups to pints. 4 pints 2 pints 6 pints 8 pints Explanation: 1 pint = 2 cups, so 8 cups = 8 ÷ 2 = 4 pints. 55 / 100 What is the area of a circle with diameter 8 cm? (Use π ≈ 3.14) 25.12 cm² 100.48 cm² 50.24 cm² 12.56 cm² Explanation: Radius = diameter/2 = 4 cm. Area = πr² = 3.14 × 4² = 3.14 × 16 = 50.24 cm². 56 / 100 Convert 45 minutes to hours (as a decimal). 0.5 hours 0.75 hours 1.25 hours 0.6 hours Explanation: 45 minutes = 45/60 hours = 0.75 hours. 57 / 100 A rectangular garden is 12 feet long and 8 feet wide. How much fencing is needed to enclose it? 96 feet 40 feet 20 feet 32 feet Explanation: Perimeter = 2(length + width) = 2(12 + 8) = 2(20) = 40 feet. 58 / 100 Convert 2,500 grams to kilograms. 25 kg 0.25 kg 250 kg 2.5 kg Explanation: 1 kilogram = 1,000 grams, so 2,500 ÷ 1,000 = 2.5 kg. 59 / 100 What is the surface area of a cube with side length 4 inches? 64 in² 48 in² 96 in² 80 in² Explanation: Surface area of cube = 6 × (side)² = 6 × 4² = 6 × 16 = 96 in². 60 / 100 Convert 3 gallons to quarts. 12 quarts 9 quarts 15 quarts 6 quarts Explanation: 1 gallon = 4 quarts, so 3 × 4 = 12 quarts. 61 / 100 What is the area of a triangle with base 10 cm and height 6 cm? 60 cm² 20 cm² 30 cm² 40 cm² Explanation: Area of triangle = (1/2) × base × height = (1/2) × 10 × 6 = 30 cm². 62 / 100 Convert 72 inches to feet. 5 feet 7 feet 6 feet 8 feet Explanation: 1 foot = 12 inches, so 72 ÷ 12 = 6 feet. 63 / 100 What is the circumference of a circle with radius 5 cm? (Use π ≈ 3.14) 15.7 cm 25.1 cm 31.4 cm 62.8 cm Explanation: Circumference = 2πr = 2 × 3.14 × 5 = 31.4 cm. 64 / 100 Convert 4.2 kilometers to meters. 420 m 4,200 m 42,000 m 4,020 m Explanation: 1 kilometer = 1,000 meters, so 4.2 × 1,000 = 4,200 m. 65 / 100 What is the volume of a rectangular prism with length 6 cm, width 4 cm, and height 3 cm? 72 cm³ 54 cm³ 48 cm³ 36 cm³ Explanation: Volume = length × width × height = 6 × 4 × 3 = 72 cm³. 66 / 100 Convert 5 pounds to ounces. 80 ounces 75 ounces 85 ounces 90 ounces Explanation: 1 pound = 16 ounces, so 5 × 16 = 80 ounces. 67 / 100 What is the perimeter of a square with side length 7 inches? 21 inches 35 inches 28 inches 14 inches Explanation: Perimeter of a square = 4 × side length = 4 × 7 = 28 inches. 68 / 100 Convert 2.5 hours to minutes. 120 minutes 180 minutes 150 minutes 135 minutes Explanation: 1 hour = 60 minutes, so 2.5 × 60 = 150 minutes. 69 / 100 What is the area of a rectangle with length 8 cm and width 5 cm? 40 cm² 26 cm² 32 cm² 36 cm² Explanation: Area = length × width = 8 × 5 = 40 cm². 70 / 100 Convert 3.5 meters to centimeters. 35 cm 350 cm 3500 cm 305 cm Explanation: 1 meter = 100 centimeters, so 3.5 × 100 = 350 cm. 71 / 100 If y varies directly with x and y = 12 when x = 3, what is y when x = 5? 15 20 18 25 Explanation: Direct variation: y = kx. Find k: 12 = k(3), so k = 4. When x = 5: y = 4(5) = 20. 72 / 100 Simplify: 4(2x - 1) - 3x 8x - 4 5x + 4 11x - 4 5x - 4 Explanation: Distribute: 8x - 4 - 3x = 5x - 4. 73 / 100 What is 18% of 150? 30 24 27 33 Explanation: 18% = 0.18, so 0.18 × 150 = 27. 74 / 100 Solve for x: x/3 + 4 = 7 x = 12 x = 6 x = 9 x = 15 Explanation: Subtract 4 from both sides: x/3 = 3. Multiply by 3: x = 9. 75 / 100 What is the value of x² - 3x when x = 4? 8 12 4 16 Explanation: Substitute x = 4: (4)² - 3(4) = 16 - 12 = 4. 76 / 100 Express 125% as a fraction in lowest terms. 4/5 5/4 6/5 7/4 Explanation: 125% = 125/100. Divide both by GCD of 25: 125÷25 = 5, 100÷25 = 4, so 5/4. 77 / 100 What is 42 ÷ 7 × 3 - 4? 18 10 22 14 Explanation: Following order of operations: 42 ÷ 7 = 6, then 6 × 3 = 18, then 18 - 4 = 14 78 / 100 If 3x + 2 = 11, what is the value of 6x? 18 22 16 20 Explanation: First solve for x: 3x = 9, so x = 3. Then 6x = 6(3) = 18. 79 / 100 What fraction is equivalent to 0.6? 2/3 3/5 5/8 4/7 Explanation: 0.6 = 6/10. Simplify by dividing both by 2: 6÷2 = 3, 10÷2 = 5, so 3/5. 80 / 100 Solve: 2(x + 3) = 14 x = 5 x = 3 x = 4 x = 6 Explanation: Distribute: 2x + 6 = 14. Subtract 6: 2x = 8. Divide by 2: x = 4. 81 / 100 What is 3.5 × 10⁴ in standard form? 35,000 3,500 350,000 350 Explanation: 3.5 × 10⁴ means move the decimal point 4 places to the right: 35,000. 82 / 100 Evaluate: |−8| + |3| 5 11 −5 −11 Explanation: The absolute value of -8 is 8, and the absolute value of 3 is 3. So 8 + 3 = 11. 83 / 100 If a store marks up an item 40% and the original price was $25, what is the new price? $30 $40 $32 $35 Explanation: 40% of $25 = 0.40 × 25 = $10. New price = $25 + $10 = $35. 84 / 100 What is 2/3 ÷ 1/4? 2/12 3/8 6/4 8/3 Explanation: Dividing by a fraction means multiplying by its reciprocal: (2/3) × (4/1) = 8/3. 85 / 100 Solve for y: 3y + 8 = 2y + 15 y = 7 y = 5 y = 9 y = 3 Explanation: Subtract 2y from both sides: y + 8 = 15. Subtract 8: y = 7. 86 / 100 Convert 5/6 to a percentage (rounded to nearest whole number). 85% 83% 80% 87% Explanation: 5 ÷ 6 = 0.8333..., which equals 83.33%, rounded to 83%. 87 / 100 What is the least common multiple (LCM) of 6 and 8? 12 18 24 16 Explanation: Multiples of 6: 6,12,18,24. Multiples of 8: 8,16,24. Least common multiple is 24. 88 / 100 Simplify: (2x + 3) + (4x - 7) 6x - 4 6x + 10 2x - 4 8x - 4 Explanation: Combine like terms: 2x + 4x = 6x and 3 + (-7) = -4, so 6x - 4. 89 / 100 What is 15% of 240? 40 32 44 36 Explanation: 15% = 0.15, so 0.15 × 240 = 36. 90 / 100 If x + 5 = 3x - 1, what is the value of x? 4 3 2 5 Explanation: Subtract x from both sides: 5 = 2x - 1. Add 1: 6 = 2x. Divide by 2: x = 3. 91 / 100 Express 0.45 as a fraction in lowest terms. 4/9 45/100 9/20 5/11 Explanation: 0.45 = 45/100. Divide both by GCD of 5: 45÷5 = 9, 100÷5 = 20, so 9/20. 92 / 100 What is the greatest common factor (GCF) of 24 and 36? 8 6 9 12 Explanation: Factors of 24: 1,2,3,4,6,8,12,24. Factors of 36: 1,2,3,4,6,9,12,18,36. Greatest common factor is 12. 93 / 100 Solve: 5x - 3 < 17 x < 4 x < 5 x < 3 x < 6 Explanation: Add 3 to both sides: 5x < 20, then divide by 5: x < 4. 94 / 100 What is 7/12 expressed as a percentage (rounded to nearest whole number)? 60% 55% 58% 62% Explanation: 7 ÷ 12 = 0.5833..., which equals 58.33%, rounded to 58%. 95 / 100 If the ratio of cats to dogs is 3:5 and there are 15 cats, how many dogs are there? 20 30 25 15 Explanation: Set up proportion: 3/5 = 15/x. Cross multiply: 3x = 75, so x = 25. 96 / 100 Simplify: -3(x - 4) + 2x -5x + 12 -x + 12 -x - 12 x + 12 Explanation: Distribute: -3x + 12 + 2x = -x + 12. 97 / 100 What is 25% of 80? 25 15 30 20 Explanation: 25% = 0.25, so 0.25 × 80 = 20. 98 / 100 Convert 3/8 to a decimal. 0.325 0.375 0.385 0.365 Explanation: Divide 3 by 8: 3 ÷ 8 = 0.375. 99 / 100 Solve for x: 2x + 7 = 19 x = 5 x = 8 x = 6 x = 4 Explanation: Subtract 7 from both sides: 2x = 12, then divide by 2: x = 6. 100 / 100 What is the value of 3² + 4 × 2 - 6 ÷ 3? 15 13 17 11 Explanation: Following order of operations (PEMDAS): 3² = 9, 4 × 2 = 8, 6 ÷ 3 = 2, so 9 + 8 - 2 = 15. Your score isThe average score is 0% 0% Restart quiz