Rational Numbers

{
  "antigravity_content": "**Title: The Great Diwali Pooja Preparations!**\n\n**Setting: A bustling neighborhood in a small town in India, where excitement fills the air as families prepare for Diwali, the festival of lights.**\n\n---\n\n**Characters:**\n- **Riya:** A 10-year-old girl who loves helping her family.\n- **Aunty Meera:** The friendly neighbor and a great cook.\n- **Uncle Ravi:** The local shopkeeper who sells all the ingredients needed for Diwali.\n\n---\n\n**Story:**\n\nIt was a bright sunny morning in Riya\u0027s town, and the aroma of freshly made sweets wafted through the air. Riya was buzzing with excitement; it was nearly Diwali, and her family was busy preparing for the puja. This year, Riya wanted to help Aunty Meera prepare a special sweet dish called *kaju katli*.\n\n\"Riya! Can you come here a moment?\" Aunty Meera called from her kitchen, where she was sorting out ingredients.\n\n\"Sure, Aunty! What do you need help with?\" Riya replied, rushing over.\n\n\"I need to prepare enough *kaju katli* for our family and our neighbors. I have a recipe that uses a ratio of 2 cups of cashews to 1 cup of sugar. But if we want to make a lot, we need to scale it up! Can you help me figure out how much we need for ten families?\" Aunty Meera asked.\n\nRiya thought for a moment. \"If the ratio is 2 cups of cashews to 1 cup of sugar, that means for every 2 cups of cashews, we need 1 cup of sugar. So, to find out how much we need for ten families, we should multiply the amounts by 10!\"\n\nRiya grabbed a piece of paper and wrote down the calculations:\n\n- Cashews for one family: 2 cups\n- Sugar for one family: 1 cup\n\n**Scaling Up:**\n- **For 10 families:**\n  - Cashews: \\(2 \\text{ cups} \\times 10 = 20 \\text{ cups}\\)\n  - Sugar: \\(1 \\text{ cup} \\times 10 = 10 \\text{ cups}\\)\n\n\"Wow, Aunty! We need **20 cups of cashews** and **10 cups of sugar**!\" Riya exclaimed.\n\nAunty Meera smiled. \"Exactly! Now, let\u0027s go to Uncle Ravi\u0027s shop to buy these.\"\n\n---\n\n**At Uncle Ravi\u0027s Shop:**\n\nWhen they arrived at the shop, Riya noticed the shelves filled with all sorts of colorful ingredients. Uncle Ravi greeted them with a warm smile. \"Hello, Riya and Aunty Meera! What can I help you with today?\"\n\n\"We need 20 cups of cashews and 10 cups of sugar for our Diwali *kaju katli*!\" Riya said enthusiastically.\n\nUncle Ravi nodded, \"Sure! But first, let\u2019s check how many cups I have in stock. I sell cashews in packets of 5 cups each, and sugar in packets of 2 cups each.\"\n\n**Calculating the Required Packets:**\n\n\"How many packets of cashews do we need?\" Riya wondered aloud.\n\n- For cashews: \n  - **Total cups needed:** 20 cups\n  - **Cups per packet:** 5 cups\n  - **Packets needed:** \\(20 \\div 5 = 4 \\text{ packets}\\)\n\n\"And for sugar?\" Aunty Meera asked.\n\n- For sugar:\n  - **Total cups needed:** 10 cups\n  - **Cups per packet:** 2 cups\n  - **Packets needed:** \\(10 \\div 2 = 5 \\text{ packets}\\)\n\n\"Great! We need **4 packets of cashews** and **5 packets of sugar**!\" Riya said proudly.\n\nUncle Ravi laughed, \"You are turning into quite the mathematician, Riya! Let me get those for you.\"\n\n---\n\n**Back Home:**\n\nWith the ingredients in hand, Aunty Meera and Riya began preparing the *kaju katli*. As they ground the cashews and mixed in the sugar, Riya thought about how wonderful it was to combine math with something as delightful as Diwali sweets.\n\n\"You know, Riya,\" Aunty Meera said, \"math is everywhere! It helps us in cooking, shopping, and even while decorating the house for Diwali.\"\n\nRiya nodded, \"Yes! And we can use ratios to make sure everything is just right.\"\n\nFinally, as the sun began to set and the diyas were lit, Riya felt proud of how she helped Aunty Meera with the preparations. Thanks to her math skills, everyone around would enjoy delicious *kaju katli* during the Diwali celebrations.\n\n---\n\n**The End.**\n\n**Math Concept:** In this story, Riya learns about ratios and scaling while helping Aunty Meera prepare for Diwali. By using simple calculations, she demonstrates how math is a part of everyday life, especially during festive occasions!",
  "meta": {
    "difficulty_distribution": {
      "1": 10,
      "2": 10,
      "3": 10,
      "4": 10
    },
    "total_questions": 40
  },
  "prompt_id": "cultural_storyteller",
  "prompt_name": "\ud83d\udcd6 Cultural Storyteller (Research: PMC Ghana 2024)",
  "questions": [
    {
      "correct_answer": "B",
      "difficulty": 1,
      "explanation": "The ratio of sugar to flour is 3:6, which simplifies to 1:2. For 12 cups of flour, they need 6 cups of sugar.",
      "id": 1,
      "options": [
        "A) 4 cups",
        "B) 6 cups",
        "C) 8 cups",
        "D) 10 cups"
      ],
      "question": "Riya and her friend are making sweets for Diwali. If they use 3 cups of sugar for 6 cups of flour, how much sugar is needed for 12 cups of flour?"
    },
    {
      "correct_answer": "B",
      "difficulty": 1,
      "explanation": "The total cost is 5 packets x 20 rupees = 100 rupees.",
      "id": 2,
      "options": [
        "A) 80 rupees",
        "B) 100 rupees",
        "C) 120 rupees",
        "D) 140 rupees"
      ],
      "question": "During the Diwali preparations, Aunty Meera needs to buy 5 packets of sweets. If each packet costs 20 rupees, how much will she spend?"
    },
    {
      "correct_answer": "B",
      "difficulty": 1,
      "explanation": "8 chocolates divided by 4 friends equals 2 chocolates each.",
      "id": 3,
      "options": [
        "A) 1",
        "B) 2",
        "C) 3",
        "D) 4"
      ],
      "question": "Raju wants to share 8 chocolates equally among 4 friends. How many chocolates will each friend get?"
    },
    {
      "correct_answer": "C",
      "difficulty": 1,
      "explanation": "10 flowers x 5 rupees = 50 rupees.",
      "id": 4,
      "options": [
        "A) 30 rupees",
        "B) 40 rupees",
        "C) 50 rupees",
        "D) 60 rupees"
      ],
      "question": "Priya is helping her mom buy flowers for Diwali. If each flower costs 5 rupees and they buy 10 flowers, how much do they spend?"
    },
    {
      "correct_answer": "C",
      "difficulty": 1,
      "explanation": "12 meters divided by 3 meters per room equals 4 rooms.",
      "id": 5,
      "options": [
        "A) 2",
        "B) 3",
        "C) 4",
        "D) 5"
      ],
      "question": "When decorating for Diwali, Arjun uses 12 meters of string lights. If he uses 3 meters for each room, how many rooms did he decorate?"
    },
    {
      "correct_answer": "A",
      "difficulty": 1,
      "explanation": "2 liters - 1.5 liters = 0.5 liters more needed.",
      "id": 6,
      "options": [
        "A) 0.5 liters",
        "B) 0.75 liters",
        "C) 1 liter",
        "D) 1.5 liters"
      ],
      "question": "For the Diwali puja, Riya needs 2 liters of milk. If she has 1.5 liters, how much more does she need to buy?"
    },
    {
      "correct_answer": "B",
      "difficulty": 1,
      "explanation": "300 rupees - 150 rupees = 150 rupees left.",
      "id": 7,
      "options": [
        "A) 100 rupees",
        "B) 150 rupees",
        "C) 200 rupees",
        "D) 250 rupees"
      ],
      "question": "Meena is helping her father with Diwali shopping. If they budgeted 300 rupees and spent 150 rupees, how much do they have left?"
    },
    {
      "correct_answer": "C",
      "difficulty": 1,
      "explanation": "10 diyas + 5 diyas = 15 diyas in total.",
      "id": 8,
      "options": [
        "A) 12",
        "B) 14",
        "C) 15",
        "D) 16"
      ],
      "question": "In preparation for Diwali, if Riya has 10 diyas and buys 5 more, how many diyas does she have in total?"
    },
    {
      "correct_answer": "B",
      "difficulty": 1,
      "explanation": "30 sweets divided by 6 sweets per box equals 5 boxes.",
      "id": 9,
      "options": [
        "A) 4",
        "B) 5",
        "C) 6",
        "D) 7"
      ],
      "question": "Ravi has 30 sweets and wants to pack them in boxes of 6. How many boxes can he fill?"
    },
    {
      "correct_answer": "B",
      "difficulty": 1,
      "explanation": "3 types x 2 cups each = 6 cups in total.",
      "id": 10,
      "options": [
        "A) 4 cups",
        "B) 6 cups",
        "C) 8 cups",
        "D) 10 cups"
      ],
      "question": "For Diwali, Aunty Meera plans to make 3 types of sweets, using 2 cups of each type. How many cups of ingredients does she need in total?"
    },
    {
      "correct_answer": "A",
      "difficulty": 2,
      "explanation": "15 packets x 4 sweets per packet = 60 sweets in total.",
      "id": 11,
      "options": [
        "A) 60",
        "B) 65",
        "C) 70",
        "D) 75"
      ],
      "question": "During Diwali, Riya prepares 15 packets of sweets. If each packet contains 4 sweets, how many sweets did she prepare in total?"
    },
    {
      "correct_answer": "B",
      "difficulty": 2,
      "explanation": "3.5 kg x 50 rupees = 175 rupees.",
      "id": 12,
      "options": [
        "A) 150 rupees",
        "B) 175 rupees",
        "C) 200 rupees",
        "D) 225 rupees"
      ],
      "question": "At the market, if 1 kg of sugar costs 50 rupees, how much will 3.5 kg cost?"
    },
    {
      "correct_answer": "B",
      "difficulty": 2,
      "explanation": "40 ladoos divided by 8 ladoos per box equals 5 boxes.",
      "id": 13,
      "options": [
        "A) 4",
        "B) 5",
        "C) 6",
        "D) 7"
      ],
      "question": "Aunty Meera made 40 ladoos for Diwali. If she puts them in boxes of 8, how many boxes will she fill?"
    },
    {
      "correct_answer": "C",
      "difficulty": 2,
      "explanation": "5 houses x 4 meters per house = 20 meters in total.",
      "id": 14,
      "options": [
        "A) 15 meters",
        "B) 18 meters",
        "C) 20 meters",
        "D) 22 meters"
      ],
      "question": "Raju is decorating 5 houses for Diwali. If he uses 4 meters of lights for each house, how many meters does he use in total?"
    },
    {
      "correct_answer": "A",
      "difficulty": 2,
      "explanation": "4 liters - 1.5 liters = 2.5 liters more needed.",
      "id": 15,
      "options": [
        "A) 2.5 liters",
        "B) 3 liters",
        "C) 3.5 liters",
        "D) 4 liters"
      ],
      "question": "During Diwali, Priya needs 4 liters of oil. If she has 1.5 liters, how much more does she need to buy?"
    },
    {
      "correct_answer": "B",
      "difficulty": 2,
      "explanation": "80 rupees - 45 rupees = 35 rupees left.",
      "id": 16,
      "options": [
        "A) 25 rupees",
        "B) 30 rupees",
        "C) 35 rupees",
        "D) 40 rupees"
      ],
      "question": "If Riya has 80 rupees and spends 45 rupees on decorations, how much money is left?"
    },
    {
      "correct_answer": "D",
      "difficulty": 2,
      "explanation": "3 packets x 150 rupees = 450 rupees.",
      "id": 17,
      "options": [
        "A) 400 rupees",
        "B) 450 rupees",
        "C) 500 rupees",
        "D) 600 rupees"
      ],
      "question": "At the Diwali fair, Raju buys 3 packets of sweets for 150 rupees each. How much does he spend in total?"
    },
    {
      "correct_answer": "B",
      "difficulty": 2,
      "explanation": "60 cookies divided by 10 cookies per box equals 6 boxes.",
      "id": 18,
      "options": [
        "A) 5",
        "B) 6",
        "C) 7",
        "D) 8"
      ],
      "question": "During Diwali, if Riya bakes 60 cookies and wants to pack them in boxes of 10, how many boxes will she need?"
    },
    {
      "correct_answer": "C",
      "difficulty": 2,
      "explanation": "3 liters - 2.5 liters = 0.5 liters more needed.",
      "id": 19,
      "options": [
        "A) 0.5 liters",
        "B) 0.75 liters",
        "C) 1 liter",
        "D) 1.5 liters"
      ],
      "question": "If Aunty Meera needs 3 liters of milk for sweets but buys 2.5 liters, how much more does she need?"
    },
    {
      "correct_answer": "C",
      "difficulty": 2,
      "explanation": "5 packets x 120 rupees = 600 rupees.",
      "id": 20,
      "options": [
        "A) 500 rupees",
        "B) 550 rupees",
        "C) 600 rupees",
        "D) 650 rupees"
      ],
      "question": "Ravi plans to buy 5 packets of firecrackers. If each packet costs 120 rupees, how much will he spend?"
    },
    {
      "correct_answer": "B",
      "difficulty": 3,
      "explanation": "125 rupees divided by 25 rupees per sweet equals 5 sweets.",
      "id": 21,
      "options": [
        "A) 4",
        "B) 5",
        "C) 6",
        "D) 7"
      ],
      "question": "If Riya has 125 rupees and wants to buy sweets that cost 25 rupees each, how many sweets can she buy?"
    },
    {
      "correct_answer": "B",
      "difficulty": 3,
      "explanation": "240 diyas divided by 8 houses equals 30 diyas per house.",
      "id": 22,
      "options": [
        "A) 28",
        "B) 30",
        "C) 32",
        "D) 35"
      ],
      "question": "Raju needs to divide 240 diyas equally among 8 houses for Diwali. How many diyas will each house receive?"
    },
    {
      "correct_answer": "D",
      "difficulty": 3,
      "explanation": "150 sweets divided by 10 sweets per box equals 15 boxes.",
      "id": 23,
      "options": [
        "A) 12",
        "B) 13",
        "C) 14",
        "D) 15"
      ],
      "question": "During Diwali, if Aunty Meera makes 150 sweets and puts them in boxes of 10, how many boxes does she fill?"
    },
    {
      "correct_answer": "A",
      "difficulty": 3,
      "explanation": "360 rupees - 125 rupees = 235 rupees left.",
      "id": 24,
      "options": [
        "A) 225",
        "B) 230",
        "C) 235",
        "D) 245"
      ],
      "question": "If Priya has 360 rupees and spends 125 rupees on decorations, how much money does she have left?"
    },
    {
      "correct_answer": "C",
      "difficulty": 3,
      "explanation": "4 kg x 200 rupees = 800 rupees.",
      "id": 25,
      "options": [
        "A) 600 rupees",
        "B) 700 rupees",
        "C) 800 rupees",
        "D) 900 rupees"
      ],
      "question": "Ravi bought 4 kg of sweets for Diwali. If each kg costs 200 rupees, how much does he spend in total?"
    },
    {
      "correct_answer": "B",
      "difficulty": 3,
      "explanation": "2 liters - 1.5 liters = 0.5 liters more needed.",
      "id": 26,
      "options": [
        "A) 0.3 liters",
        "B) 0.5 liters",
        "C) 0.75 liters",
        "D) 1 liter"
      ],
      "question": "If Aunty Meera needs 2 liters of ghee and buys 1.5 liters, how much more does she need?"
    },
    {
      "correct_answer": "C",
      "difficulty": 3,
      "explanation": "90 packets x 3 sweets per packet = 270 sweets in total.",
      "id": 27,
      "options": [
        "A) 240",
        "B) 250",
        "C) 270",
        "D) 300"
      ],
      "question": "Riya is preparing 90 packets of sweets. If each packet contains 3 sweets, how many sweets does she need in total?"
    },
    {
      "correct_answer": "C",
      "difficulty": 3,
      "explanation": "500 rupees - 280 rupees = 220 rupees left.",
      "id": 28,
      "options": [
        "A) 200",
        "B) 210",
        "C) 220",
        "D) 230"
      ],
      "question": "If Raju has 500 rupees and spends 280 rupees on Diwali gifts, how much does he have left?"
    },
    {
      "correct_answer": "B",
      "difficulty": 3,
      "explanation": "120 diyas divided by 6 households = 20 diyas per household.",
      "id": 29,
      "options": [
        "A) 18",
        "B) 20",
        "C) 22",
        "D) 24"
      ],
      "question": "During Diwali, if Priya\u0027s family has 120 diyas and they want to divide them equally among 6 households, how many diyas does each household get?"
    },
    {
      "correct_answer": "B",
      "difficulty": 3,
      "explanation": "80 ladoos divided by 8 ladoos per box = 10 boxes.",
      "id": 30,
      "options": [
        "A) 9",
        "B) 10",
        "C) 11",
        "D) 12"
      ],
      "question": "If Aunty Meera makes 80 ladoos for Diwali and packs them in boxes of 8, how many boxes does she fill?"
    },
    {
      "correct_answer": "B",
      "difficulty": 4,
      "explanation": "Total spent is 7 packets x 150 rupees = 1050 rupees; 1000 rupees - 1050 rupees = -50 rupees.",
      "id": 31,
      "options": [
        "A) 100 rupees",
        "B) 200 rupees",
        "C) 300 rupees",
        "D) 400 rupees"
      ],
      "question": "Riya has 1000 rupees for Diwali shopping. If she buys 7 packets of sweets for 150 rupees each, how much money will she have left?"
    },
    {
      "correct_answer": "C",
      "difficulty": 4,
      "explanation": "6 packets x 250 rupees = 1500 rupees.",
      "id": 32,
      "options": [
        "A) 1200 rupees",
        "B) 1300 rupees",
        "C) 1400 rupees",
        "D) 1500 rupees"
      ],
      "question": "Raju needs to buy firecrackers for Diwali. If each packet costs 250 rupees and he buys 6 packets, how much does he spend in total?"
    },
    {
      "correct_answer": "A",
      "difficulty": 4,
      "explanation": "300 sweets divided by 25 sweets per box = 12 boxes.",
      "id": 33,
      "options": [
        "A) 10",
        "B) 11",
        "C) 12",
        "D) 13"
      ],
      "question": "If Aunty Meera prepares 300 sweets and packs them in boxes of 25, how many boxes does she fill?"
    },
    {
      "correct_answer": "A",
      "difficulty": 4,
      "explanation": "5 kg x 300 rupees = 1500 rupees.",
      "id": 34,
      "options": [
        "A) 1200 rupees",
        "B) 1300 rupees",
        "C) 1400 rupees",
        "D) 1500 rupees"
      ],
      "question": "Riya\u0027s family wants to buy 5 kg of sweets for Diwali. If each kg costs 300 rupees, how much will they spend?"
    },
    {
      "correct_answer": "B",
      "difficulty": 4,
      "explanation": "2.5 liters - 1.75 liters = 0.75 liters more needed.",
      "id": 35,
      "options": [
        "A) 0.5 liters",
        "B) 0.75 liters",
        "C) 1 liter",
        "D) 1.25 liters"
      ],
      "question": "During the Diwali celebration, Priya needs 2.5 liters of oil. If she buys 1.75 liters, how much more does she need?"
    },
    {
      "correct_answer": "B",
      "difficulty": 4,
      "explanation": "1200 rupees - 950 rupees = 250 rupees left.",
      "id": 36,
      "options": [
        "A) 150 rupees",
        "B) 200 rupees",
        "C) 250 rupees",
        "D) 300 rupees"
      ],
      "question": "If Raju has 1200 rupees and spends 950 rupees on Diwali gifts, how much does he have left?"
    },
    {
      "correct_answer": "A",
      "difficulty": 4,
      "explanation": "240 ladoos divided by 30 ladoos per box = 8 boxes.",
      "id": 37,
      "options": [
        "A) 6",
        "B) 7",
        "C) 8",
        "D) 9"
      ],
      "question": "If Aunty Meera makes 240 ladoos and wants to pack them in boxes of 30, how many boxes will she fill?"
    },
    {
      "correct_answer": "B",
      "difficulty": 4,
      "explanation": "10 kg x 50 rupees = 500 rupees.",
      "id": 38,
      "options": [
        "A) 400 rupees",
        "B) 500 rupees",
        "C) 600 rupees",
        "D) 700 rupees"
      ],
      "question": "Riya plans to buy 10 kg of rice for Diwali. If each kg costs 50 rupees, how much will she spend?"
    },
    {
      "correct_answer": "C",
      "difficulty": 4,
      "explanation": "350 rupees - 200 rupees = 150 rupees left.",
      "id": 39,
      "options": [
        "A) 100 rupees",
        "B) 200 rupees",
        "C) 150 rupees",
        "D) 250 rupees"
      ],
      "question": "If Raju has 350 rupees and spends 200 rupees on Diwali sweets, how much money does he have left?"
    },
    {
      "correct_answer": "D",
      "difficulty": 4,
      "explanation": "4 kg x 80 rupees = 320 rupees.",
      "id": 40,
      "options": [
        "A) 250 rupees",
        "B) 280 rupees",
        "C) 300 rupees",
        "D) 320 rupees"
      ],
      "question": "During the Diwali shopping, if Aunty Meera buys 4 kg of flour at 80 rupees per kg, how much does she spend?"
    }
  ],
  "source_ixl_skills": [
    "Identify rational numbers",
    "Compare rational numbers",
    "Put rational numbers in order",
    "Add and subtract rational numbers",
    "Multiply and divide rational numbers"
  ],
  "topic": "Rational Numbers"
}