{ "paper": { "school": "Methodist Girls", "year": 2024, "level": "P3", "label": "End of Year Exam", "source_prefix": "Methodist Girls 2024 P3 End of Year Exam", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "Four thousand and ninety in numerals is [?].", "answer0": "4900", "answer1": "4090", "answer2": "4019", "answer3": "490", "correct_answer": 1, "skill_id": 67, "difficulty_id": 1, "explanation": "Four thousand = 4000, ninety = 90, so 4000 + 90 = 4090.", "hints": ["Break the number into thousands, hundreds, tens and ones.", "There are no hundreds, so the hundreds place is 0."], "source": "Methodist Girls 2024 P3 End of Year Exam Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 2 (1-based) = option index 1." }, { "n": 2, "type_id": 1, "question": "In 9875, the value of the digit 8 is [?].", "answer0": "8", "answer1": "80", "answer2": "800", "answer3": "8000", "correct_answer": 2, "skill_id": 66, "difficulty_id": 1, "explanation": "The digit 8 is in the hundreds place, so its value is 800.", "hints": ["Identify which place the 8 sits in.", "8 in the hundreds place means 8 hundreds = 800."], "source": "Methodist Girls 2024 P3 End of Year Exam Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 3 (1-based) = option index 2." }, { "n": 3, "type_id": 1, "question": "6132 + 2468 = [?]", "answer0": "9500", "answer1": "8600", "answer2": "8590", "answer3": "8500", "correct_answer": 1, "skill_id": 70, "difficulty_id": 1, "explanation": "6132 + 2468 = 8600.", "hints": ["Add the ones, tens, hundreds and thousands in columns.", "Remember to carry when a column sum is 10 or more."], "source": "Methodist Girls 2024 P3 End of Year Exam Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 2 (1-based) = option index 1." }, { "n": 4, "type_id": 1, "question": "Which of the following is arranged from the greatest to the smallest?", "answer0": "653 , 635 , 536 , 563", "answer1": "536 , 563 , 635 , 365", "answer2": "365 , 356 , 563 , 536", "answer3": "653 , 635 , 563 , 536", "correct_answer": 3, "skill_id": 68, "difficulty_id": 2, "explanation": "From greatest to smallest: 653, 635, 563, 536. Each number is smaller than the one before it.", "hints": ["Compare the hundreds digit first, then tens, then ones.", "Greatest to smallest means the numbers must decrease."], "source": "Methodist Girls 2024 P3 End of Year Exam Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 4 (1-based) = option index 3." }, { "n": 5, "type_id": 1, "question": "In the figure, how many of the marked angles are acute?", "answer0": "6", "answer1": "2", "answer2": "3", "answer3": "4", "correct_answer": 2, "skill_id": 99, "difficulty_id": 2, "explanation": "Three of the marked angles are smaller than a right angle, so 3 are acute.", "hints": ["An acute angle is smaller than a right angle (less than a square corner).", "Compare each marked angle to a right angle."], "source": "Methodist Girls 2024 P3 End of Year Exam Q5", "image_needed": true, "image_page": 4, "image_loc": "below the question, upper-left of page; an irregular polygon with marked angles", "image_options": false, "image_file": "q5.png", "notes": "Key: 3 (1-based) = option index 2 (answer value 3 acute angles)." }, { "n": 6, "type_id": 1, "question": "3415, 3625, 3835, [?], 4255, 4465\nWhat is the missing number in the pattern?", "answer0": "3045", "answer1": "3845", "answer2": "4035", "answer3": "4045", "correct_answer": 3, "skill_id": 69, "difficulty_id": 2, "explanation": "The pattern increases by 210 each time. 3835 + 210 = 4045.", "hints": ["Find the difference between consecutive terms.", "Each term is 210 more than the one before it."], "source": "Methodist Girls 2024 P3 End of Year Exam Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 4 (1-based) = option index 3." }, { "n": 7, "type_id": 1, "question": "4/9 + 1/3 = [?]", "answer0": "3/6", "answer1": "5/9", "answer2": "7/9", "answer3": "5/12", "correct_answer": 2, "skill_id": 81, "difficulty_id": 2, "explanation": "1/3 = 3/9, so 4/9 + 3/9 = 7/9.", "hints": ["Change 1/3 to ninths so both fractions have the same denominator.", "1/3 = 3/9, then add the numerators."], "source": "Methodist Girls 2024 P3 End of Year Exam Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 3 (1-based) = option index 2." }, { "n": 8, "type_id": 1, "question": "12/18 = 8/[?]\nWhat is the missing number in the box?", "answer0": "10", "answer1": "12", "answer2": "14", "answer3": "24", "correct_answer": 1, "skill_id": 80, "difficulty_id": 2, "explanation": "12/18 simplifies to 2/3. To get a numerator of 8, multiply 2/3 by 4/4 to get 8/12, so the missing number is 12.", "hints": ["Simplify 12/18 first.", "12/18 = 2/3; find the equivalent fraction with numerator 8."], "source": "Methodist Girls 2024 P3 End of Year Exam Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 2 (1-based) = option index 1." }, { "n": 9, "type_id": 1, "question": "How many whole numbers between 40 and 50 can be divided exactly by 6?", "answer0": "1", "answer1": "2", "answer2": "3", "answer3": "4", "correct_answer": 1, "skill_id": 73, "difficulty_id": 2, "explanation": "Multiples of 6 between 40 and 50 are 42 and 48, so there are 2.", "hints": ["List the multiples of 6 (6, 12, 18, ...).", "Which multiples of 6 fall between 40 and 50?"], "source": "Methodist Girls 2024 P3 End of Year Exam Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 2 (1-based) = option index 1 (answer value 2)." }, { "n": 10, "type_id": 1, "question": "Melissa finished cleaning her room at 12 00. She spent 1 hour 50 minutes cleaning without taking any break. What time did she start cleaning?", "answer0": "13 50", "answer1": "11 50", "answer2": "10 50", "answer3": "10 10", "correct_answer": 3, "skill_id": 92, "difficulty_id": 2, "explanation": "Subtract 1 hour 50 minutes from 12 00. 12 00 minus 1 hour = 11 00; minus 50 minutes = 10 10.", "hints": ["Count backwards from the finishing time.", "Subtract the 1 hour first, then the 50 minutes."], "source": "Methodist Girls 2024 P3 End of Year Exam Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 4 (1-based) = option index 3." }, { "n": 11, "type_id": 2, "question": "What is the remainder when 369 is divided by 7?\n[?]", "answer0": "5", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 74, "difficulty_id": 2, "explanation": "369 divided by 7 = 52 remainder 5 (52 x 7 = 364, 369 - 364 = 5).", "hints": ["Find the largest multiple of 7 that is not more than 369.", "52 x 7 = 364; the remainder is 369 - 364."], "source": "Methodist Girls 2024 P3 End of Year Exam Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 5." }, { "n": 12, "type_id": 2, "question": "Subtract 4825 from 7562.\n[?]", "answer0": "2737", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 70, "difficulty_id": 1, "explanation": "7562 - 4825 = 2737.", "hints": ["Subtract in columns, regrouping where needed.", "Line up the digits by place value."], "source": "Methodist Girls 2024 P3 End of Year Exam Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 2737." }, { "n": 13, "type_id": 2, "question": "Form the greatest 4-digit even number that is less than 5000 using all the digits shown in the cards.\n[?]", "answer0": "4738", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 68, "difficulty_id": 2, "explanation": "Digits 3, 8, 4, 7. Less than 5000 means the thousands digit is 4. To be even and greatest, the ones digit must be 8 and the middle digits arranged greatest to least: 4738.", "hints": ["Less than 5000 forces the thousands digit to be 4.", "An even number must end in an even digit; choose the largest possible arrangement."], "source": "Methodist Girls 2024 P3 End of Year Exam Q13", "image_needed": true, "image_page": 8, "image_loc": "below the question, four number cards showing 3, 8, 4, 7", "image_options": false, "image_file": "q13.png", "notes": "Key: 4738. Digit cards 3, 8, 4, 7 stated in stem text." }, { "n": 14, "type_id": 2, "question": "Kelvin had breakfast at the time shown on the clock. The clock was 5 minutes slow. What was the actual time in the 24-hour clock?\n[?]", "answer0": "0730", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 134, "difficulty_id": 2, "explanation": "The clock shows 7:25 in the morning. As it is 5 minutes slow, the actual time is 7:30 a.m., which is 0730 in the 24-hour clock.", "hints": ["Read the time on the clock first.", "Slow means the real time is later; add 5 minutes, then write in 24-hour format."], "source": "Methodist Girls 2024 P3 End of Year Exam Q14", "image_needed": true, "image_page": 9, "image_loc": "below the question text, an analogue clock face showing about 7:25", "image_options": false, "image_file": "q14.png", "notes": "Key: 0730. Clock reads 7:25; +5 min = 0730." }, { "n": 15, "type_id": 2, "question": "Arrange the fractions in order, beginning with the greatest.\n2/5 , 2/3 , 7/12\n[?] , [?] , [?]", "answer0": "2/3", "answer1": "7/12", "answer2": "2/5", "answer3": null, "correct_answer": null, "skill_id": 79, "difficulty_id": 3, "explanation": "Using a common denominator of 60: 2/5 = 24/60, 2/3 = 40/60, 7/12 = 35/60. Greatest to smallest: 2/3, 7/12, 2/5.", "hints": ["Convert all fractions to a common denominator.", "Use 60 as the common denominator and compare numerators."], "source": "Methodist Girls 2024 P3 End of Year Exam Q15", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 2/3, 7/12, 2/5 (greatest first). Ordering task converted to FIB with one [?] per position." }, { "n": 16, "type_id": 2, "question": "What is the missing fraction in the box?\n[?]", "answer0": "2/10", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 69, "difficulty_id": 2, "explanation": "The number line from 0 to 8/10 is divided into 4 equal parts (each 2/10). The arrow points to the second mark, so the missing fraction is 2/10. Key gives 4/10; see notes.", "hints": ["Find the size of each interval on the number line.", "Count the intervals from 0 to the arrow."], "source": "Methodist Girls 2024 P3 End of Year Exam Q16", "image_needed": true, "image_page": 9, "image_loc": "below the question, a number line marked 0 at left, box with arrow at the second division, and 8/10 near the right", "image_options": false, "image_file": "q16.png", "notes": "Key states 4/10. Number-line reading depends on the crop; recorded answer0 as 2/10 per the line shown (4 equal intervals, arrow at 2nd mark), but DEFER to key 4/10 if the crop shows the arrow at the position labelled 4/10. Verify against cropped image." }, { "n": 17, "type_id": 2, "question": "Mrs Tan paid for her meal with a $50-note and got $14.30 change. How much did her meal cost?\nAns: $ [?]", "answer0": "35.70", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 83, "difficulty_id": 2, "explanation": "$50.00 - $14.30 = $35.70.", "hints": ["The cost equals the amount paid minus the change.", "$50.00 - $14.30."], "source": "Methodist Girls 2024 P3 End of Year Exam Q17", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 35.70 (dollars)." }, { "n": 18, "type_id": 2, "question": "Chee Meng has 7 cups. He pours 86 g of sugar into each cup. What is the total mass of sugar Chee Meng pours into all the cups?\nAns: [?] g", "answer0": "602", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 75, "difficulty_id": 2, "explanation": "86 g x 7 = 602 g.", "hints": ["Multiply the mass in one cup by the number of cups.", "86 x 7."], "source": "Methodist Girls 2024 P3 End of Year Exam Q18", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 86x6=602 (typo in key; 86x7=602). Answer 602 g." }, { "n": 19, "type_id": 0, "question": "The figure is drawn on a square grid.\n(a) Name a line that is parallel to line BC.\n(b) Name a line that is perpendicular to line AC.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 100, "difficulty_id": 2, "explanation": "(a) EA is parallel to BC. (b) CD is perpendicular to AC.", "hints": ["Parallel lines never meet and run in the same direction.", "Perpendicular lines meet at a right angle."], "source": "Methodist Girls 2024 P3 End of Year Exam Q19", "image_needed": true, "image_page": 11, "image_loc": "below the question, a figure on a square grid with labelled points A, B, C, D, E, F", "image_options": false, "image_file": "q19.png", "notes": "Key: a) EA b) CD. Two part-question with letter/line-name answers (depends on the labelled figure); not a single numeric/symbolic value, so type_id 0. Answers recorded in explanation/notes." }, { "n": 20, "type_id": 2, "question": "A minibus can take at most 8 passengers. What is the least number of minibuses needed to take 158 passengers?\nAns: [?]", "answer0": "20", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "158 divided by 8 = 19 remainder 6. The remaining 6 passengers still need a minibus, so 19 + 1 = 20 minibuses.", "hints": ["Divide 158 by 8 and look at the remainder.", "Any leftover passengers need one more minibus."], "source": "Methodist Girls 2024 P3 End of Year Exam Q20", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 158/8 = 19R6, 19+1 = 20." }, { "n": 21, "type_id": 2, "question": "Mr Lee wants to buy some barb wire to fence up his rectangular garden completely. The length of his garden is 50 m. Its breadth is 32 m. What is the total length of barb wire Mr Lee needs to buy?\nAns: [?] m", "answer0": "164", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 96, "difficulty_id": 2, "explanation": "Perimeter = 50 + 50 + 32 + 32 = 164 m.", "hints": ["Fencing all round means the perimeter of the rectangle.", "Perimeter = 2 x length + 2 x breadth."], "source": "Methodist Girls 2024 P3 End of Year Exam Q21", "image_needed": true, "image_page": 12, "image_loc": "below the question, a rectangle labelled Garden with 50 m along the top and 32 m on the right, plus a barb-wire callout", "image_options": false, "image_file": "q21.png", "notes": "Key: 50+50+32+32 = 164. Dimensions stated in stem; figure decorative." }, { "n": 22, "type_id": 2, "question": "The bar graph shows the number of tickets sold for a carnival for 3 weeks.\nBased on the information from the bar graph, state True or False for each statement.\na) The total number of tickets sold every week is the same for all 3 weeks. [?]\nb) In week 3, the number of tickets sold on the weekend is three times the number of tickets sold on the weekdays. [?]\nc) There were fewer tickets sold on weekdays in week 2 than in week 3. [?]", "answer0": "True", "answer1": "True", "answer2": "False", "answer3": null, "correct_answer": null, "skill_id": 102, "difficulty_id": 2, "explanation": "Reading the bar graph: a) the weekday + weekend totals are equal across all 3 weeks (True). b) in week 3 the weekend bar is three times the weekday bar (True). c) week 2 weekdays were more than week 3 weekdays, so 'fewer' is False.", "hints": ["Add the weekday and weekend bars for each week.", "Compare bar heights carefully for each statement."], "source": "Methodist Girls 2024 P3 End of Year Exam Q22", "image_needed": true, "image_page": 13, "image_loc": "below the question, a bar graph titled 'Tickets sold for a Carnival' with Week 1/2/3 and a Weekdays/Weekends legend", "image_options": false, "image_file": "q22.png", "notes": "Key: a) true b) true c) false. True/False per statement captured as 3-blank FIB." }, { "n": 23, "type_id": 2, "question": "Box A is 2550 g lighter than Box B. Box B is 3400 g heavier than Box C. Box C weighs 2 kg 180 g.\n(a) What is the mass of Box B?\n(b) What is the mass of Box A? Give your answer in kilograms and grams.\nAns: (a) [?] (b) [?]", "answer0": "5580 g", "answer1": "3 kg 30 g", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 87, "difficulty_id": 3, "explanation": "Box C = 2 kg 180 g = 2180 g. (a) Box B = 2180 + 3400 = 5580 g. (b) Box A = 5580 - 2550 = 3030 g = 3 kg 30 g.", "hints": ["Convert 2 kg 180 g to grams first.", "Box B is heavier than C; Box A is lighter than B."], "source": "Methodist Girls 2024 P3 End of Year Exam Q23", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: a) 2kg180g=2180g, 2180+3400=5580g b) 5580-2550=3030g=3kg30g." }, { "n": 24, "type_id": 2, "question": "Ali sold 570 apples. He sold 5 times as many apples as oranges. He sold 38 fewer oranges than pears.\n(a) How many oranges did Ali sell?\n(b) How many pears did Ali sell?\nAns: (a) [?] (b) [?]", "answer0": "114", "answer1": "152", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "(a) Oranges = 570 divided by 5 = 114. (b) Pears = 114 + 38 = 152 (oranges are 38 fewer than pears).", "hints": ["Apples = 5 x oranges, so oranges = apples / 5.", "38 fewer oranges than pears means pears = oranges + 38."], "source": "Methodist Girls 2024 P3 End of Year Exam Q24", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: a) 570/5=114 b) 114+38=152." }, { "n": 25, "type_id": 0, "question": "The figure is drawn in a square grid.\n(a) What is the area of the shaded figure?\n(b) In the square grid, one side of the rectangle has been drawn for you. Draw three more lines to complete the rectangle so that it has an area equal to the shaded figure in part (a). What is the perimeter of the rectangle drawn?", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 97, "difficulty_id": 3, "explanation": "(a) The shaded figure has an area of 20 cm2. (b) A rectangle of area 20 cm2 with the given side has a perimeter of 24 cm.", "hints": ["Count whole squares and combine half-squares for the area.", "A rectangle with the same area can have different side lengths; use the drawn side to find the other."], "source": "Methodist Girls 2024 P3 End of Year Exam Q25", "image_needed": true, "image_page": 17, "image_loc": "two square-grid figures: top is the shaded figure for (a); lower grid for (b) has one side of a rectangle pre-drawn", "image_options": false, "image_file": "q25.png", "notes": "Key: a) 20cm2 b) 24cm. Part (b) requires drawing lines on a grid (interactive), so type_id 0; answer values recorded in explanation/notes." }, { "n": 26, "type_id": 2, "question": "Jerry keeps his picture cards in 4 boxes. Each box holds 118 cards except for the last box. The last box has only 79 cards. How many picture cards does Jerry have altogether?\nAns: [?]", "answer0": "433", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "Three full boxes: 118 x 3 = 354. Add the last box: 354 + 79 = 433.", "hints": ["Three boxes hold 118 each; the last holds 79.", "118 x 3, then add 79."], "source": "Methodist Girls 2024 P3 End of Year Exam Q26", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 118x3=354, 354+79=433." }, { "n": 27, "type_id": 2, "question": "In an auditorium, 159 people were seated to watch a performance at first. After the first performance, 27 of them left their seats. Then, 4 times as many people as those who left their seats came in to occupy the remaining seats. How many seats are there in the auditorium?\nAns: [?]", "answer0": "240", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "Remaining after 27 left: 159 - 27 = 132 seated. People who came in: 27 x 4 = 108. Total seats = 132 + 108 = 240.", "hints": ["First find how many stayed seated after 27 left.", "4 times the 27 who left came in; add them to those still seated."], "source": "Methodist Girls 2024 P3 End of Year Exam Q27", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 159-27=132, 27x4=108, 132+108=240." } ] }