{
"paper": {
"school": "Paya Lebar MGS",
"year": 2025,
"level": "P4",
"label": "Weighted Assessment 2",
"source_prefix": "PLMGS 2025 P4 Weighted Assessment 2",
"has_answer_key": true
},
"questions": [
{
"n": 1,
"type_id": 1,
"question": "Which number has the digit 3 in the thousands place?",
"answer0": "37 942",
"answer1": "54 039",
"answer2": "69 382",
"answer3": "73 648",
"correct_answer": 3,
"skill_id": 105,
"difficulty_id": 1,
"explanation": "The thousands place is the 4th digit from the right. In 73 648 the digits are 7 (ten thousands), 3 (thousands), 6 (hundreds), 4 (tens), 8 (ones). So 73 648 has 3 in the thousands place.",
"hints": ["Identify the thousands place: the 4th digit counting from the right.", "Check each option's 4th-from-right digit for a 3."],
"source": "PLMGS 2025 P4 Weighted Assessment 2 Q1",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": ""
},
{
"n": 2,
"type_id": 1,
"question": "Which of the following is not an equivalent fraction of $$\\frac{1}{4}$$?",
"answer0": "$$\\frac{2}{8}$$",
"answer1": "$$\\frac{3}{12}$$",
"answer2": "$$\\frac{4}{12}$$",
"answer3": "$$\\frac{5}{20}$$",
"correct_answer": 2,
"skill_id": 77,
"difficulty_id": 1,
"explanation": "Equivalent fractions of 1/4: multiply top and bottom by the same number. 2/8 (x2), 3/12 (x3), 5/20 (x5) all equal 1/4. But 4/12 = 1/3, not 1/4. So 4/12 is the odd one out.",
"hints": ["Simplify each fraction to lowest terms.", "1/4 means numerator x 4 = denominator. Check 4/12: 4 x 4 = 16, not 12."],
"source": "PLMGS 2025 P4 Weighted Assessment 2 Q2",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": ""
},
{
"n": 3,
"type_id": 1,
"question": "Which of the following decimals is the greatest?",
"answer0": "0.030",
"answer1": "0.42",
"answer2": "0.176",
"answer3": "0.234",
"correct_answer": 1,
"skill_id": 124,
"difficulty_id": 1,
"explanation": "Compare the tenths digit first: 0.030 (0 tenths), 0.42 (4 tenths), 0.176 (1 tenth), 0.234 (2 tenths). The largest tenths value is 4, so 0.42 is the greatest.",
"hints": ["Line up the decimal points and compare from the tenths place.", "The number with the largest tenths digit is greatest."],
"source": "PLMGS 2025 P4 Weighted Assessment 2 Q3",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": ""
},
{
"n": 4,
"type_id": 1,
"question": "At a carnival, every 6th participant receives a cup of drink and every 8th participant receives a key chain. Which is the first participant to receive both a cup of drink and a key chain?",
"answer0": "24th",
"answer1": "36th",
"answer2": "48th",
"answer3": "72nd",
"correct_answer": 0,
"skill_id": 115,
"difficulty_id": 2,
"explanation": "Find the lowest common multiple of 6 and 8. Multiples of 6: 6, 12, 18, 24... Multiples of 8: 8, 16, 24... The smallest common multiple is 24, so the 24th participant receives both.",
"hints": ["The first to receive both is the lowest common multiple of 6 and 8.", "List multiples of 6 and 8 and find the smallest shared one."],
"source": "PLMGS 2025 P4 Weighted Assessment 2 Q4",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": ""
},
{
"n": 5,
"type_id": 2,
"question": "Arrange the following from the greatest to the smallest.
$$1\\frac{1}{9}$$, $$\\frac{4}{5}$$, $$\\frac{7}{6}$$
Greatest: [?], [?], [?] :Smallest",
"answer0": "7/6",
"answer1": "1 1/9",
"answer2": "4/5",
"answer3": null,
"correct_answer": null,
"skill_id": 119,
"difficulty_id": 2,
"explanation": "Convert to decimals: 1 1/9 = 1.11, 4/5 = 0.8, 7/6 = 1.166... Ordering greatest to smallest: 7/6 (1.166), 1 1/9 (1.11), 4/5 (0.8).",
"hints": ["Convert each value to a decimal to compare.", "7/6 is just over 1.16; 1 1/9 is about 1.11; 4/5 is 0.8."],
"source": "PLMGS 2025 P4 Weighted Assessment 2 Q5",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Original MCQ ordering task converted to FIB (one blank per position, greatest to smallest). Key option 4 = 7/6, 1 1/9, 4/5."
},
{
"n": 6,
"type_id": 1,
"question": "A shop sells bottled drinks at $2.50 each. Now, the shop is having a special offer for the bottled drinks: 2 bottles for $4.60. Mrs Ho needs to buy 7 bottles of drinks. What is the least amount of money she needs to pay?",
"answer0": "$15.30",
"answer1": "$16.10",
"answer2": "$16.30",
"answer3": "$17.50",
"correct_answer": 2,
"skill_id": 131,
"difficulty_id": 2,
"explanation": "The offer (2 for $4.60) is cheaper than 2 single bottles ($5.00). Buy 3 pairs (6 bottles) at the offer: 3 x $4.60 = $13.80. The 7th bottle is bought singly at $2.50. Total = $13.80 + $2.50 = $16.30.",
"hints": ["Use the offer for as many pairs as possible: 7 bottles = 3 pairs + 1 single.", "3 x $4.60 = $13.80, then add one single bottle at $2.50."],
"source": "PLMGS 2025 P4 Weighted Assessment 2 Q6",
"image_needed": true,
"image_options": false,
"image_file": "q6.png",
"image_page": 3,
"image_bbox": [0.30, 0.17, 0.72, 0.37],
"image_loc": "upper-middle of page, 'Special Offer' poster with two bottles and '2 bottles for $4.60'",
"notes": "Offer price embedded in question text; figure is the promo poster."
},
{
"n": 7,
"type_id": 2,
"question": "Use all the digits 5, 2, 7, 0, 4 to form
(a) the largest 5-digit number [?]
(b) the smallest 5-digit even number [?]",
"answer0": "75420",
"answer1": "20574",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 107,
"difficulty_id": 2,
"explanation": "(a) Largest: arrange digits from greatest to least: 7, 5, 4, 2, 0 = 75420. (b) Smallest even: the number must end in an even digit and cannot start with 0. Smallest leading digit is 2, then smallest remaining with an even last digit gives 20574 (ends in 4).",
"hints": ["Largest: put the biggest digits first.", "Smallest even: smallest non-zero digit leads and the last digit must be even (0, 2 or 4)."],
"source": "PLMGS 2025 P4 Weighted Assessment 2 Q7",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Digit cards (5, 2, 7, 0, 4) transcribed inline; figure not required."
},
{
"n": 8,
"type_id": 2,
"question": "What is the value of $$\\frac{5}{6}+\\frac{2}{3}$$? Express your answer as a mixed number.
[?]",
"answer0": "1 1/2",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 121,
"difficulty_id": 2,
"explanation": "Make denominators the same: 2/3 = 4/6. Then 5/6 + 4/6 = 9/6 = 3/2. As a mixed number, 3/2 = 1 1/2.",
"hints": ["Convert 2/3 to sixths: 2/3 = 4/6.", "Add: 5/6 + 4/6 = 9/6, then simplify to a mixed number."],
"source": "PLMGS 2025 P4 Weighted Assessment 2 Q8",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer is mixed number 1 1/2."
},
{
"n": 9,
"type_id": 2,
"question": "What is the value of $$4 \\div 7$$? Correct your answer to 1 decimal place.
[?]",
"answer0": "0.6",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 125,
"difficulty_id": 2,
"explanation": "4 / 7 = 0.5714... To 1 decimal place, look at the second decimal digit (7), which rounds up. So 0.57... rounds to 0.6.",
"hints": ["Divide 4 by 7 to at least 2 decimal places.", "Round 0.571... to 1 decimal place by looking at the second decimal digit."],
"source": "PLMGS 2025 P4 Weighted Assessment 2 Q9",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": ""
},
{
"n": 10,
"type_id": 2,
"question": "The table shows the number of times Primary Four students in a school jog in a week.
Number of times jogged in a week: 1, 2, 3, 4, 5
Number of students: 61, 50, 42, 75, 80
How many students jogged more than 2 times in a week?
[?]",
"answer0": "197",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 148,
"difficulty_id": 2,
"explanation": "More than 2 times means 3, 4 or 5 times. Add those student counts: 42 + 75 + 80 = 197.",
"hints": ["'More than 2' means 3, 4 and 5 times (not 2 itself).", "Add the student numbers for 3, 4 and 5: 42 + 75 + 80."],
"source": "PLMGS 2025 P4 Weighted Assessment 2 Q10",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Data table transcribed inline as text; no figure crop needed."
},
{
"n": 11,
"type_id": 2,
"question": "Tina baked some cookies. She gave $$\\frac{3}{10}$$ of the cookies to her neighbour and had 84 cookies left. How many cookies did she give to her neighbour?
[?]",
"answer0": "36",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 122,
"difficulty_id": 2,
"explanation": "She gave 3/10, so the 84 left represent the remaining 7/10. 1/10 = 84 / 7 = 12. She gave 3/10 = 3 x 12 = 36 cookies.",
"hints": ["If 3/10 was given away, the 84 left is 7/10 of the total.", "Find 1/10 (84 / 7 = 12), then 3/10 = 3 x 12."],
"source": "PLMGS 2025 P4 Weighted Assessment 2 Q11",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": ""
},
{
"n": 12,
"type_id": 2,
"question": "$$\\frac{13}{25}=0.5+$$ [?]",
"answer0": "0.02",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 127,
"difficulty_id": 2,
"explanation": "Convert 13/25 to a decimal: 13/25 = 52/100 = 0.52. Then 0.52 = 0.5 + 0.02, so the missing decimal is 0.02.",
"hints": ["Convert 13/25 to hundredths: multiply top and bottom by 4 to get 52/100.", "0.52 = 0.5 + the missing value."],
"source": "PLMGS 2025 P4 Weighted Assessment 2 Q12",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "The boxed '?' in the printed equation is the answer-entry blank; trailing ellipsis dots are decorative."
},
{
"n": 13,
"type_id": 2,
"question": "Joseph had 1378 marbles and Kumar had 1490 marbles. Kumar gave some marbles to Joseph. In the end Joseph had twice as many marbles as Kumar.
(a) How many marbles did Kumar have in the end? [?]
(b) How many marbles did Kumar give Joseph? [?]",
"answer0": "956",
"answer1": "534",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 118,
"difficulty_id": 3,
"explanation": "Total marbles stay the same: 1378 + 1490 = 2868. In the end Joseph = twice Kumar, so they share into 3 equal parts. (a) Kumar's end = 2868 / 3 = 956. (b) Kumar gave away = his start minus his end = 1490 - 956 = 534.",
"hints": ["The total number of marbles does not change when they are passed between the two.", "End ratio Joseph:Kumar = 2:1, so Kumar has 1/3 of the total; the amount given = Kumar's start - Kumar's end."],
"source": "PLMGS 2025 P4 Weighted Assessment 2 Q13",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Two-part word problem; answer0 = part (a), answer1 = part (b)."
},
{
"n": 14,
"type_id": 2,
"question": "Amy read $$\\frac{1}{4}$$ of a book on Saturday, $$\\frac{1}{8}$$ of the book on Sunday and the remaining pages on Monday. She read 72 fewer pages on Saturday than on Monday. How many pages were there in the book?
[?]",
"answer0": "192",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 122,
"difficulty_id": 3,
"explanation": "Saturday = 1/4 = 2/8, Sunday = 1/8. Together = 3/8, so Monday = 8/8 - 3/8 = 5/8. Difference between Monday and Saturday = 5/8 - 2/8 = 3/8, which equals 72 pages. So 1/8 = 72 / 3 = 24, and the whole book = 8/8 = 24 x 8 = 192 pages.",
"hints": ["Write all fractions in eighths: Saturday = 2/8, Sunday = 1/8, Monday = 5/8.", "Monday - Saturday = 3/8 = 72 pages; find 1/8 then multiply by 8."],
"source": "PLMGS 2025 P4 Weighted Assessment 2 Q14",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": ""
}
]
}