{
  "paper": {
    "school": "Singapore Chinese Girls' School",
    "year": 2024,
    "level": "P4",
    "label": "Term 2 Review",
    "source_prefix": "SCGS 2024 P4 Term 2 Review",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "What is the missing number in the box?<br>$$2\\dfrac{5}{6} = \\dfrac{[\\ ?\\ ]}{6}$$",
      "answer0": "12",
      "answer1": "13",
      "answer2": "16",
      "answer3": "17",
      "correct_answer": 3,
      "skill_id": 119,
      "difficulty_id": 1,
      "explanation": "Convert the mixed number to an improper fraction: $2\\dfrac{5}{6} = \\dfrac{2\\times 6 + 5}{6} = \\dfrac{17}{6}$. The missing numerator is 17.",
      "hints": ["A mixed number $a\\dfrac{b}{c}$ equals $\\dfrac{a\\times c + b}{c}$.", "Multiply the whole number 2 by the denominator 6, then add 5."],
      "source": "SCGS 2024 P4 Term 2 Review Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Which of the following has the greatest value?",
      "answer0": "\\(2\\dfrac{1}{3}\\)",
      "answer1": "\\(\\dfrac{15}{12}\\)",
      "answer2": "\\(\\dfrac{9}{4}\\)",
      "answer3": "\\(1\\dfrac{3}{4}\\)",
      "correct_answer": 0,
      "skill_id": 119,
      "difficulty_id": 2,
      "explanation": "Compare as decimals: $2\\dfrac{1}{3}\\approx 2.33$, $\\dfrac{15}{12}=1.25$, $\\dfrac{9}{4}=2.25$, $1\\dfrac{3}{4}=1.75$. The greatest value is $2\\dfrac{1}{3}$.",
      "hints": ["Convert each option to a decimal or to a common denominator.", "$2\\dfrac{1}{3}$ is larger than 2; check which others exceed 2."],
      "source": "SCGS 2024 P4 Term 2 Review Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Subtract \\(\\dfrac{3}{7}\\) from 4.",
      "answer0": "\\(\\dfrac{12}{7}\\)",
      "answer1": "\\(\\dfrac{25}{28}\\)",
      "answer2": "\\(3\\dfrac{3}{7}\\)",
      "answer3": "\\(\\dfrac{25}{7}\\)",
      "correct_answer": 3,
      "skill_id": 121,
      "difficulty_id": 2,
      "explanation": "$4 - \\dfrac{3}{7} = \\dfrac{28}{7} - \\dfrac{3}{7} = \\dfrac{25}{7}$.",
      "hints": ["Write 4 as a fraction with denominator 7: $4 = \\dfrac{28}{7}$.", "Subtract the numerators over the common denominator."],
      "source": "SCGS 2024 P4 Term 2 Review Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Bala has 3 times as much money as Mei Ling.<br>If Bala has $792, how much money do they have altogether?",
      "answer0": "$264",
      "answer1": "$1056",
      "answer2": "$2376",
      "answer3": "$3168",
      "correct_answer": 1,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "Mei Ling has $792 \\div 3 = \\$264$. Altogether: $\\$792 + \\$264 = \\$1056$.",
      "hints": ["Bala's amount is 3 units; find 1 unit (Mei Ling) by dividing by 3.", "Add Bala's and Mei Ling's amounts together."],
      "source": "SCGS 2024 P4 Term 2 Review Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "A tray of eggs has a total of 36 eggs. 3 eggs are coloured. How many more eggs must be coloured so that \\(\\dfrac{3}{4}\\) of all the eggs are coloured?",
      "answer0": "24",
      "answer1": "27",
      "answer2": "33",
      "answer3": "36",
      "correct_answer": 0,
      "skill_id": 120,
      "difficulty_id": 2,
      "explanation": "$\\dfrac{3}{4}$ of 36 eggs $= 27$ eggs must be coloured in total. Since 3 are already coloured, $27 - 3 = 24$ more must be coloured.",
      "hints": ["Find $\\dfrac{3}{4}$ of 36 to get the total number that must be coloured.", "Subtract the 3 eggs already coloured."],
      "source": "SCGS 2024 P4 Term 2 Review Q5",
      "image_needed": true,
      "image_options": false,
      "image_file": "q5.png",
      "image_page": 2,
      "image_bbox": [0.20, 0.66, 0.86, 0.80],
      "image_loc": "rectangular tray of egg circles (3 shaded), middle of page below the question",
      "notes": "Figure shows 36 egg outlines with 3 shaded; count is given in the stem (36 total, 3 coloured)."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "What is the product of 619 and 27?",
      "answer0": "16713",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 116,
      "difficulty_id": 1,
      "explanation": "$619 \\times 27 = 16713$ (e.g. $619\\times 20 = 12380$, $619\\times 7 = 4333$, sum $= 16713$).",
      "hints": ["Multiply 619 by 27 using the column method.", "Split 27 into 20 + 7 and add the partial products."],
      "source": "SCGS 2024 P4 Term 2 Review Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "The table shows the number of animals bought by a new zoo over 3 months. Some parts of the table were damaged.<br>a) In the month of April, what is the difference between the number of mammals and reptiles bought by the zoo? [?]<br>b) Find the total number of animals bought by the zoo over the 3 months. [?]",
      "answer0": "18",
      "answer1": "380",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 146,
      "difficulty_id": 2,
      "explanation": "April reptiles = total reptiles - May - June = $200 - 70 - 80 = 50$. a) Difference in April = $50 - 32 = 18$. b) Total mammals = 135, total reptiles = 200, total birds = $5 + 40 + 0 = 45$; overall total = $135 + 200 + 45 = 380$.",
      "hints": ["Use the column totals to fill in the damaged cells first.", "April reptiles = total reptiles minus May and June reptiles.", "The grand total is the sum of all three column totals."],
      "source": "SCGS 2024 P4 Term 2 Review Q7",
      "image_needed": true,
      "image_options": false,
      "image_file": "q7.png",
      "image_page": 3,
      "image_bbox": [0.09, 0.44, 0.87, 0.60],
      "image_loc": "data table 'Number of animals added to the zoo' with Month/Mammals/Reptiles/Birds columns, upper-middle of page",
      "notes": "Table has smudged (damaged) cells: April reptiles, June mammals, birds total. Known cells: April M32 B5; May M80 R70 B40; June R80 B0; totals M135 R200. Answers verified from key (a=18, b=380)."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "Express \\(\\dfrac{42}{5}\\) as a mixed number.",
      "answer0": "\\(8\\dfrac{2}{5}\\)",
      "answer1": "\\(8\\dfrac{1}{5}\\)",
      "answer2": "\\(7\\dfrac{2}{5}\\)",
      "answer3": "\\(4\\dfrac{2}{5}\\)",
      "correct_answer": 0,
      "skill_id": 119,
      "difficulty_id": 1,
      "explanation": "$42 \\div 5 = 8$ remainder $2$, so $\\dfrac{42}{5} = 8\\dfrac{2}{5}$.",
      "hints": ["Divide 42 by 5 to get the whole-number part.", "The remainder becomes the numerator over 5."],
      "source": "SCGS 2024 P4 Term 2 Review Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Original is a short-answer FIB but answer is a mixed number, so converted to MCQ per spec; distractors added."
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "Arrange the following fractions in decreasing order (largest first).<br>$$1\\dfrac{4}{7}, \\quad \\dfrac{9}{8}, \\quad \\dfrac{1}{2}, \\quad \\dfrac{11}{5}$$",
      "answer0": "\\(\\dfrac{11}{5}, 1\\dfrac{4}{7}, \\dfrac{9}{8}, \\dfrac{1}{2}\\)",
      "answer1": "\\(1\\dfrac{4}{7}, \\dfrac{11}{5}, \\dfrac{9}{8}, \\dfrac{1}{2}\\)",
      "answer2": "\\(\\dfrac{1}{2}, \\dfrac{9}{8}, 1\\dfrac{4}{7}, \\dfrac{11}{5}\\)",
      "answer3": "\\(\\dfrac{11}{5}, \\dfrac{9}{8}, 1\\dfrac{4}{7}, \\dfrac{1}{2}\\)",
      "correct_answer": 0,
      "skill_id": 119,
      "difficulty_id": 2,
      "explanation": "As decimals: $1\\dfrac{4}{7}\\approx 1.57$, $\\dfrac{9}{8}=1.125$, $\\dfrac{1}{2}=0.5$, $\\dfrac{11}{5}=2.2$. Decreasing order: $\\dfrac{11}{5}, 1\\dfrac{4}{7}, \\dfrac{9}{8}, \\dfrac{1}{2}$.",
      "hints": ["Convert each fraction to a decimal to compare.", "Decreasing order means largest value first."],
      "source": "SCGS 2024 P4 Term 2 Review Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Ordering task; answers are fractions/mixed numbers so made MCQ per spec (FIB only for integers/decimals)."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "Hina had $72. She spent \\(\\dfrac{1}{4}\\) of her money on a bag. How much money had she left after buying the bag?",
      "answer0": "54",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 122,
      "difficulty_id": 2,
      "explanation": "Amount spent $= \\dfrac{1}{4} \\times \\$72 = \\$18$. Money left $= \\$72 - \\$18 = \\$54$.",
      "hints": ["Find $\\dfrac{1}{4}$ of $72 to get the amount spent.", "Subtract the amount spent from $72."],
      "source": "SCGS 2024 P4 Term 2 Review Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer is whole-dollar amount 54; FIB integer (the $ sign is preprinted in the answer line)."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "A factory made 7895 cookies. The cookies were packed into boxes of 9. What was the least number of cookies left unpacked?",
      "answer0": "2",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 117,
      "difficulty_id": 2,
      "explanation": "$7895 \\div 9 = 877$ remainder $2$, so 2 cookies are left unpacked.",
      "hints": ["Divide 7895 by 9 and look at the remainder.", "The leftover (remainder) is the number of unpacked cookies."],
      "source": "SCGS 2024 P4 Term 2 Review Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key shows '7895 / 9 = 872 r2' (quotient 872 is a transcription slip; correct quotient is 877) but the remainder 2 is correct, which is the asked answer."
    },
    {
      "n": 12,
      "type_id": 1,
      "question": "Zac recorded the number of books he sold from December to March in the line graph.<br>In which month did Zac sell twice as many books as in January?",
      "answer0": "December",
      "answer1": "February",
      "answer2": "March",
      "answer3": "April",
      "correct_answer": 2,
      "skill_id": 147,
      "difficulty_id": 2,
      "explanation": "From the graph, January sales = 8 books. Twice of 8 is 16, which is the value for March. So the answer is March.",
      "hints": ["Read off January's value from the graph first.", "Look for the month whose value is double January's."],
      "source": "SCGS 2024 P4 Term 2 Review Q12",
      "image_needed": true,
      "image_options": false,
      "image_file": "q12.png",
      "image_page": 5,
      "image_bbox": [0.13, 0.16, 0.80, 0.45],
      "image_loc": "line graph 'Number of books sold' (Dec-Mar), upper portion of page",
      "notes": "Original part (b) ('greatest decrease', answer Dec to Jan) is a two-blank from-to word answer; only part (a) kept as a single MCQ here. Graph values: Dec 14, Jan 8, Feb 4, Mar 16."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "A sofa costs $2286. The total cost of 6 chairs is $450 more than the sofa. How much does each chair cost?",
      "answer0": "456",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "Total cost of 6 chairs $= \\$2286 + \\$450 = \\$2736$. Each chair $= \\$2736 \\div 6 = \\$456$.",
      "hints": ["First find the total cost of the 6 chairs (sofa price plus $450).", "Divide the total by 6 to find the cost of one chair."],
      "source": "SCGS 2024 P4 Term 2 Review Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer is whole-dollar amount 456; FIB integer."
    },
    {
      "n": 14,
      "type_id": 1,
      "question": "Mrs Tan took \\(\\dfrac{2}{3}\\) h to sew a bag. She took \\(\\dfrac{3}{4}\\) h more to sew a shirt. What was the total time Mrs Tan spent to sew both the bag and the shirt? Express your answer as a mixed number in its simplest form.",
      "answer0": "\\(2\\dfrac{1}{12}\\) h",
      "answer1": "\\(1\\dfrac{5}{12}\\) h",
      "answer2": "\\(1\\dfrac{13}{12}\\) h",
      "answer3": "\\(2\\dfrac{1}{7}\\) h",
      "correct_answer": 0,
      "skill_id": 122,
      "difficulty_id": 3,
      "explanation": "Time for shirt $= \\dfrac{2}{3} + \\dfrac{3}{4} = \\dfrac{8}{12} + \\dfrac{9}{12} = \\dfrac{17}{12} = 1\\dfrac{5}{12}$ h. Total time = bag + shirt $= \\dfrac{2}{3} + 1\\dfrac{5}{12} = \\dfrac{8}{12} + 1\\dfrac{5}{12} = 1\\dfrac{13}{12} = 2\\dfrac{1}{12}$ h.",
      "hints": ["The shirt took $\\dfrac{2}{3}+\\dfrac{3}{4}$ h; use a common denominator of 12.", "Add the bag time to the shirt time, then simplify to a mixed number."],
      "source": "SCGS 2024 P4 Term 2 Review Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer is a mixed number, so made MCQ per spec; distractors include the shirt-only time and common errors."
    }
  ]
}