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| [ | |
| { | |
| "id": "prob_001", | |
| "text": "Sarah has 15 apples. She gives 4 apples to her friend and buys 7 more. How many apples does Sarah have now?", | |
| "type": "arithmetic_multi_step", | |
| "difficulty": "easy", | |
| "expected_answer": "18" | |
| }, | |
| { | |
| "id": "prob_002", | |
| "text": "A train travels at 60 miles per hour for 2.5 hours. How far does it travel?", | |
| "type": "rate_distance_time", | |
| "difficulty": "easy", | |
| "expected_answer": "150 miles" | |
| }, | |
| { | |
| "id": "prob_003", | |
| "text": "A rectangle has a length of 12 cm and a width of 8 cm. What is its area?", | |
| "type": "geometry_area", | |
| "difficulty": "easy", | |
| "expected_answer": "96 cm²" | |
| }, | |
| { | |
| "id": "prob_004", | |
| "text": "John is twice as old as Mary. In 5 years, John will be 25. How old is Mary now?", | |
| "type": "algebra_age", | |
| "difficulty": "medium", | |
| "expected_answer": "10" | |
| }, | |
| { | |
| "id": "prob_005", | |
| "text": "A store sells pencils for $0.50 each and pens for $1.20 each. If Lisa buys 8 pencils and 5 pens, how much does she spend?", | |
| "type": "arithmetic_money", | |
| "difficulty": "easy", | |
| "expected_answer": "$10.00" | |
| }, | |
| { | |
| "id": "prob_006", | |
| "text": "The sum of three consecutive integers is 72. What are the three integers?", | |
| "type": "algebra_consecutive", | |
| "difficulty": "medium", | |
| "expected_answer": "23, 24, 25" | |
| }, | |
| { | |
| "id": "prob_007", | |
| "text": "A car uses 5 gallons of gas to travel 150 miles. How many gallons are needed to travel 360 miles?", | |
| "type": "proportion_rate", | |
| "difficulty": "medium", | |
| "expected_answer": "12 gallons" | |
| }, | |
| { | |
| "id": "prob_008", | |
| "text": "A right triangle has legs of 9 cm and 12 cm. What is the length of the hypotenuse?", | |
| "type": "geometry_pythagorean", | |
| "difficulty": "medium", | |
| "expected_answer": "15 cm" | |
| }, | |
| { | |
| "id": "prob_009", | |
| "text": "A pizza is cut into 8 equal slices. If 3 people each eat 2 slices, what fraction of the pizza is left?", | |
| "type": "fractions", | |
| "difficulty": "easy", | |
| "expected_answer": "1/4" | |
| }, | |
| { | |
| "id": "prob_010", | |
| "text": "Compound interest: $1000 invested at 5% annual interest compounded yearly. How much after 3 years?", | |
| "type": "compound_interest", | |
| "difficulty": "hard", | |
| "expected_answer": "$1157.63" | |
| }, | |
| { | |
| "id": "prob_011", | |
| "text": "A farmer has chickens and cows. There are 30 heads and 86 legs total. How many chickens and how many cows?", | |
| "type": "system_of_equations", | |
| "difficulty": "hard", | |
| "expected_answer": "17 chickens, 13 cows" | |
| }, | |
| { | |
| "id": "prob_012", | |
| "text": "A pool can be filled by pipe A in 4 hours and pipe B in 6 hours. If both pipes are open, how long to fill the pool?", | |
| "type": "work_rate", | |
| "difficulty": "hard", | |
| "expected_answer": "2.4 hours" | |
| } | |
| ] |