[ { "Question": "What is the value of 7 + (-3)?", "Answer": "B", "Explanation": "Adding a negative number is the same as subtracting its absolute value. So, 7 + (-3) = 7 - 3 = 4.", "PictureURL": "", "OptionA": "10", "OptionB": "4", "OptionC": "-4", "OptionD": "21", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Arithmetic Basics", "Content Type": "multiple choice", "Title": "Integer Addition", "Item": 1, "Type": "multiple choice", "Path": "Arithmetic/integers" }, { "Question": "Simplify the fraction 18/24 to its lowest terms.", "Answer": "C", "Explanation": "The greatest common divisor (GCD) of 18 and 24 is 6. Dividing numerator and denominator by 6 gives 3/4.", "PictureURL": "", "OptionA": "9/12", "OptionB": "6/8", "OptionC": "3/4", "OptionD": "2/3", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Fraction Simplification", "Content Type": "multiple choice", "Title": "Simplifying Fractions", "Item": 2, "Type": "multiple choice", "Path": "Arithmetic/fractions" }, { "Question": "What is 25% of 200?", "Answer": "A", "Explanation": "25% means 25 per 100, so 25% of 200 = (25/100) × 200 = 50.", "PictureURL": "", "OptionA": "50", "OptionB": "25", "OptionC": "75", "OptionD": "100", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Percentages", "Content Type": "multiple choice", "Title": "Calculating Percentages", "Item": 3, "Type": "multiple choice", "Path": "Arithmetic/percentages" }, { "Question": "If the ratio of cats to dogs is 3:5, how many cats are there if there are 20 dogs?", "Answer": "B", "Explanation": "The ratio 3:5 means for every 5 dogs, there are 3 cats. If dogs = 20, then cats = (3/5) × 20 = 12.", "PictureURL": "", "OptionA": "8", "OptionB": "12", "OptionC": "15", "OptionD": "25", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Ratios", "Content Type": "multiple choice", "Title": "Ratio Problems", "Item": 4, "Type": "multiple choice", "Path": "Arithmetic/ratios" }, { "Question": "Calculate 3^4 (3 raised to the power of 4).", "Answer": "C", "Explanation": "3^4 means 3 × 3 × 3 × 3 = 81.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/3/3a/Exponents.svg/1200px-Exponents.svg.png", "OptionA": "12", "OptionB": "27", "OptionC": "81", "OptionD": "64", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Exponents", "Content Type": "multiple choice", "Title": "Calculating Exponents", "Item": 5, "Type": "multiple choice", "Path": "Arithmetic/exponents" }, { "Question": "What is the square root of 49?", "Answer": "A", "Explanation": "The square root of 49 is the number which when multiplied by itself gives 49. That number is 7.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/8/8a/Square_root_symbol.svg/1200px-Square_root_symbol.svg.png", "OptionA": "7", "OptionB": "14", "OptionC": "49", "OptionD": "9", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Roots", "Content Type": "multiple choice", "Title": "Square Roots", "Item": 6, "Type": "multiple choice", "Path": "Arithmetic/roots" }, { "Question": "What is the result of (-5) × (-4)?", "Answer": "D", "Explanation": "Multiplying two negative numbers results in a positive number. So, (-5) × (-4) = 20.", "PictureURL": "", "OptionA": "-20", "OptionB": "-9", "OptionC": "9", "OptionD": "20", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Integer Multiplication", "Content Type": "multiple choice", "Title": "Multiplying Integers", "Item": 7, "Type": "multiple choice", "Path": "Arithmetic/integers" }, { "Question": "Convert the fraction 3/5 to a percentage.", "Answer": "B", "Explanation": "To convert a fraction to a percentage, divide numerator by denominator and multiply by 100: (3 ÷ 5) × 100 = 60%.", "PictureURL": "", "OptionA": "50%", "OptionB": "60%", "OptionC": "75%", "OptionD": "80%", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Fraction to Percentage", "Content Type": "multiple choice", "Title": "Converting Fractions", "Item": 8, "Type": "multiple choice", "Path": "Arithmetic/fractions" }, { "Question": "If a recipe calls for a ratio of 2:3 sugar to flour, how much sugar is needed if you use 9 cups of flour?", "Answer": "A", "Explanation": "The ratio 2:3 means for every 3 parts flour, 2 parts sugar are used. For 9 cups flour, sugar = (2/3) × 9 = 6 cups.", "PictureURL": "", "OptionA": "6 cups", "OptionB": "3 cups", "OptionC": "12 cups", "OptionD": "18 cups", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Ratio Application", "Content Type": "multiple choice", "Title": "Using Ratios", "Item": 9, "Type": "multiple choice", "Path": "Arithmetic/ratios" }, { "Question": "What is 5 to the power of 0 (5^0)?", "Answer": "C", "Explanation": "Any non-zero number raised to the power of 0 is 1.", "PictureURL": "", "OptionA": "0", "OptionB": "5", "OptionC": "1", "OptionD": "Undefined", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Exponents", "Content Type": "multiple choice", "Title": "Zero Exponent Rule", "Item": 10, "Type": "multiple choice", "Path": "Arithmetic/exponents" }, { "Question": "Simplify the expression: (2/3) + (4/9).", "Answer": "B", "Explanation": "Find common denominator 9: (2/3) = (6/9). So, (6/9) + (4/9) = 10/9 or 1 1/9.", "PictureURL": "", "OptionA": "8/12", "OptionB": "10/9", "OptionC": "2/9", "OptionD": "1/3", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Fraction Addition", "Content Type": "multiple choice", "Title": "Adding Fractions", "Item": 11, "Type": "multiple choice", "Path": "Arithmetic/fractions" }, { "Question": "What is 150% expressed as a decimal?", "Answer": "D", "Explanation": "To convert a percentage to a decimal, divide by 100: 150% ÷ 100 = 1.5.", "PictureURL": "", "OptionA": "0.15", "OptionB": "15", "OptionC": "0.015", "OptionD": "1.5", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Percent to Decimal", "Content Type": "multiple choice", "Title": "Converting Percentages", "Item": 12, "Type": "multiple choice", "Path": "Arithmetic/percentages" }, { "Question": "Calculate the cube root of 27.", "Answer": "A", "Explanation": "The cube root of 27 is the number which when multiplied by itself three times gives 27. That number is 3.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/2/2d/Cube_root_symbol.svg/1200px-Cube_root_symbol.svg.png", "OptionA": "3", "OptionB": "9", "OptionC": "6", "OptionD": "27", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Roots", "Content Type": "multiple choice", "Title": "Cube Roots", "Item": 13, "Type": "multiple choice", "Path": "Arithmetic/roots" }, { "Question": "Which of the following is equivalent to 0.75?", "Answer": "C", "Explanation": "0.75 is equal to 75%, which is the same as the fraction 3/4.", "PictureURL": "", "OptionA": "1/2", "OptionB": "2/3", "OptionC": "3/4", "OptionD": "4/5", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Decimal and Fraction Equivalence", "Content Type": "multiple choice", "Title": "Decimal to Fraction", "Item": 14, "Type": "multiple choice", "Path": "Arithmetic/fractions" }, { "Question": "Evaluate: (2^3) × (2^2).", "Answer": "D", "Explanation": "When multiplying powers with the same base, add the exponents: 2^3 × 2^2 = 2^(3+2) = 2^5 = 32.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/3/3a/Exponents.svg/1200px-Exponents.svg.png", "OptionA": "10", "OptionB": "8", "OptionC": "6", "OptionD": "32", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Exponents", "Content Type": "multiple choice", "Title": "Multiplying Exponents", "Item": 15, "Type": "multiple choice", "Path": "Arithmetic/exponents" } ]