Math Practice Test 1

Correct Answer: 240

Explanation: P = 2000, r = 0.04, t = 3. I = 2000 × 0.04 × 3 = 240. Use calculator: 2000 × 0.04 = 80, then 80 × 3 = 240. The interest is $240.

Correct Answer: 150

Explanation: 1 hour = 60 minutes. Multiply: 2.5 hours × 60 minutes/hour = 150 minutes. Use calculator: 2.5 × 60 = 150.

Correct Answer: 120

Explanation: Volume = length × width × height = 8 × 5 × 3 = 120. Multiply in any order: 8×5=40, 40×3=120. Units are cubic centimeters.

Correct Answer: 10

Explanation: Use a² + b² = c². Calculate: 6² + 8² = 36 + 64 = 100. c² = 100. c = √100 = 10 ft. This is a 3-4-5 triangle scaled by 2.

Correct Answer: 79

Explanation: Area = πr² = 3.14 × 5² = 3.14 × 25 = 78.5. Round to nearest whole: 78.5 rounds up to 79. Use calculator: 3.14 × 25 = 78.5.

Correct Answer: 9

Explanation: Add 7 to both sides: 4x = 36. Divide by 4: x = 9. Check: 4(9) – 7 = 36 – 7 = 29 ✓.

Correct Answer: 41

Explanation: Substitute values: 5² – 2(-3) + 10 = 25 – (-6) + 10 = 25 + 6 + 10 = 41. Remember: minus a negative becomes plus.

Correct Answer: 30

Explanation: Find increase: $104 – $80 = $24. Divide by original: 24 ÷ 80 = 0.3. Convert to percent: 0.3 × 100 = 30%. Use calculator: 24 ÷ 80 = 0.3, then × 100 = 30.

Correct Answer: 204

Explanation: Convert percent to decimal: 85% = 0.85. Multiply: 0.85 × 240 = 204. Use calculator: 240 × 0.85 = 204. Alternatively: 10% = 24, 80% = 192, 5% = 12, sum = 204.

Correct Answer: 15.3

Explanation: Multiply ignoring decimals: 425 × 36 = 15,300. Count decimal places: 2 in 4.25 + 1 in 3.6 = 3 total. Place decimal: 15.300 = 15.3. Or use calculator directly.

Correct Answer: 24.917

Explanation: Line up the decimal points and add. Think of the numbers as 12.450, 8.900, and 3.567 to keep the columns aligned. Add them to get 24.917. Use a calculator to verify.

Correct Answer: 3/5

Explanation: Multiply numerators: 2 × 9 = 18. Multiply denominators: 3 × 10 = 30. Result: 18/30. Simplify by dividing numerator and denominator by 6: 3/5.

Correct Answer: 11/18

Explanation: Find common denominator: 18 is the LCM (6×3, 9×2). Convert: 5/6 = 15/18, 2/9 = 4/18. Subtract: 15/18 – 4/18 = 11/18. Already in lowest terms.

Correct Answer: 5/8

Explanation: Find common denominator: 8 is the LCM. Convert 1/4 to 2/8. Add: 3/8 + 2/8 = 5/8. Already in lowest terms. Use calculator’s fraction function if available.

Correct Answer: 119

Explanation: Divide using long division or calculator: 15 goes into 17 once (1), remainder 2. Bring down 8, 28÷15=1, remainder 13. Bring down 5, 135÷15=9. So 119. Or use calculator: 1,785 ÷ 15 = 119 exactly.

Correct Answer: 8,892

Explanation: Multiply: 247 × 30 = 7,410. 247 × 6 = 1,482. Add: 7,410 + 1,482 = 8,892. Use calculator’s multiplication function. Enter: 247 × 36 = 8,892.

Correct Answer: 1,324

Explanation: Subtract using borrowing: 2 − 8 requires borrowing (12 − 8 = 4), next digit becomes 9 − 7 = 2, then 0 − 6 requires borrowing (10 − 6 = 4), and 4 − 3 = 1. Final answer = 1,324. Use calculator to check.

Correct Answer: 6,245

Explanation: Add column by column: 6 + 9 = 15 (write 5, carry 1), 5 + 8 + 1 = 14 (write 4, carry 1), 4 + 7 + 1 = 12 (write 2, carry 1), 3 + 2 + 1 = 6. Final sum = 6,245. Use calculator to check.

Correct Answer: A) Rolling a number less than 3 and C) Rolling a 2 or 4

Explanation: A standard die has 6 equally likely outcomes: {1, 2, 3, 4, 5, 6}. Option A: Numbers less than 3 are {1, 2} = 2 outcomes. Probability = 2/6 = 1/3 ✓. Option B: Numbers greater than 5 are {6} = 1 outcome. Probability = 1/6 ✗. Option C: Rolling a 2 or 4 are {2, 4} = 2 outcomes. Probability = 2/6 = 1/3 ✓. Option D: Multiples of 5 are {5} = 1 outcome. Probability = 1/6 ✗. Select options A and C.

Correct Answer: B) Median = 10 and C) Mode = 8

Explanation: Order: 5, 8, 8, 10, 12, 15, 18
Mean = (5+8+8+10+12+15+18)/7 = 76/7 ≈ 10.86 (A is false). Median (middle) = 10 (B is true). Mode (most frequent) = 8 (C is true). Range = 18 – 5 = 13 (D is false) Select B and C.

Correct Answer: A) Diameter = 12 cm and B) Area = 36π cm²

Explanation: Diameter = 2 × radius = 2 × 6 = 12 cm (A is true). Area = πr² = π × 6² = 36π cm² (B is true). Circumference = 2πr = 12π cm (C is false, says 6π). D says area is 12π (false) Select A and B.

Correct Answer: B) x = -3 and D) x = 3

Explanation: Solve x² – 9 = 0. Add 9: x² = 9. Square root: x = ±3. So x = 3 and x = -3 are solutions. Check: (3)² – 9 = 9 – 9 = 0 and (-3)² – 9 = 9 – 9 = 0.

Correct Answer: A) 17 and C) 29

Explanation: Prime numbers have exactly two factors: 1 and themselves. 17: factors are 1, 17 (prime). 21: factors are 1, 3, 7, 21 (not prime). 29: factors are 1, 29 (prime). 33: factors are 1, 3, 11, 33 (not prime) Select A and C.

Correct Answer: A) $607.50

Explanation: Profit per shirt = Selling price – Cost = $28.50 – $15 = $13.50. Total profit = $13.50 × 45 shirts = $607.50. Use calculator: 13.5 × 45 = 607.5.

Correct Answer: C) 87.5 miles

Explanation: Set up proportion: 1 inch / 25 miles = 3.5 inches / x miles. Multiply both sides by 3.5: x = 25 × 3.5 = 87.5 miles. Use calculator: 25 × 3.5 = 87.5.

Correct Answer: A) 4.56 × 10⁻⁵

Explanation: Move decimal point right until after first non-zero digit: 4.56. Count moves: 5 places to the right. Since original number is small (<1), exponent is negative: 10⁻⁵. So 0.0000456 = 4.56 × 10⁻⁵.

Correct Answer: B) x¹²

Explanation: Power of a power rule: (x^a)^b = x^(a×b). Multiply exponents: 4 × 3 = 12. So (x⁴)³ = x¹². The exponent applies to the base x, not the coefficient.

Correct Answer: A) 3 units

Explanation: Points A(1,2) and B(4,2) have the same y-coordinate, so AB is horizontal. Length = difference in x-coordinates: 4 – 1 = 3 units. Use distance formula for horizontal lines: |x₂ – x₁|.

Correct Answer: C) 7 units

Explanation: Distance is always positive. Point A at -3, Point C at 4. Distance = |4 – (-3)| = |4 + 3| = 7 units. Count on number line: from -3 to 0 is 3 units, from 0 to 4 is 4 units, total = 3 + 4 = 7.

Correct Answer: B) Up 2°F

Explanation: Identify the temperature on Day 2: 68°F. Identify the temperature on Day 4: 70°F. Calculate the difference: 70°F – 68°F = 2°F. Determine direction: 70°F is higher than 68°F, so temperature increased (went up). Final answer: Up 2°F

Correct Answer: B) February

Explanation: Look at the bar heights: January = 3.2, February = 4.1, March = 5.8, April = 3.5. Compare each to 4 inches. February at 4.1 inches is only 0.1 inches away, closer than January (0.8 away) or April (0.5 away).

Correct Answer: A) 1/4

Explanation: Total marbles = 8 + 5 + 7 = 20. Blue marbles = 5. Probability = favorable/total = 5/20. Simplify: divide numerator and denominator by 5 = 1/4. Probability is 1 out of 4.

Correct Answer: B) 14

Explanation: First order the numbers: 7, 9, 12, 14, 16, 19, 22. There are 7 numbers, so the median is the middle (4th) number, which is 14. For odd count, median position = (n+1)/2 = (7+1)/2 = 4th number.

Correct Answer: B) 87.6

Explanation: Add all scores: 85 + 92 + 78 + 88 + 95 = 438. Count the scores: 5. Divide sum by count: 438 ÷ 5 = 87.6. Use calculator for division.

Correct Answer: C) 14 quarts

Explanation: Multiply gallons by conversion factor: 3.5 gallons × 4 quarts/gallon = 14 quarts. The unit “gallons” cancels, leaving quarts. Use calculator: 3.5 × 4 = 14.

Correct Answer: A) 63 cm²

Explanation: Area of triangle = (1/2) × base × height. Calculate: 0.5 × 14 × 9 = 7 × 9 = 63. The units are square centimeters (cm²). Remember to include the 1/2 factor.

Correct Answer: C) 42.5 meters

Explanation: Perimeter formula: P = 2(length + width). Add: 12.5 + 8.75 = 21.25. Multiply by 2: 21.25 × 2 = 42.5 meters. Use calculator to avoid calculation errors.

Correct Answer: B) 72°

Explanation: When two parallel lines are cut by a transversal, corresponding angles are equal in measure. The corresponding angle to the 72° angle will also measure 72°.

Correct Answer: C) 21

Explanation: Substitute x = -2 into the function: f(-2) = 2(-2)² – 5(-2) + 3. Calculate each term: (-2)² = 4, so 2(4) = 8. -5(-2) = +10. So 8 + 10 + 3 = 21.

Correct Answer: A) 5

Explanation: Solve the inequality: 2x – 7 < 5. Add 7 to both sides: 2x < 12. Divide by 2: x < 6. Only answer choice 5 is less than 6. Test: 2(5) – 7 = 3 < 5 is true.

Correct Answer: A) 4

Explanation: First distribute: 3x + 15 = 2x + 19. Subtract 2x from both sides: x + 15 = 19. Subtract 15 from both sides: x = 4. Check: 3(4 + 5) = 27 and 2(4) + 19 = 27. Both sides equal 27.

Correct Answer: A) 3x – y + 8

Explanation: Combine like terms: For x terms: 5x – 2x = 3x. For y terms: 3y – 4y = -1y (or -y). Constant: 8 stays as 8 The simplified expression is 3x – y + 8.

Correct Answer: A) $422.50

Explanation: First calculate discount amount: 35% of $650 = 0.35 × 650 = $227.50. Then subtract from original price: $650 – $227.50 = $422.50. Or calculate directly: 65% of $650 = 0.65 × 650 = $422.50.

Correct Answer: B) 30.28 mpg

Explanation: Divide miles by gallons: 378.5 ÷ 12.5 = 30.28. Use the calculator’s division function. The answer is exact when you divide these numbers, giving 30.28 miles per gallon.

Correct Answer: A) 1/4 cup

Explanation: Multiply the original amount by the fraction: 3/4 × 1/3 = (3×1)/(4×3) = 3/12. Simplify 3/12 by dividing numerator and denominator by 3: 1/4. You need one-quarter cup of sugar.

Correct Answer: A) 68

Explanation: To find the number of pallets, divide total bricks by bricks per pallet: 8,500 ÷ 125 = 68. Since 8,500 is exactly divisible by 125, you need 68 full pallets with no remainder. Use the calculator: 125 × 68 = 8,500.