{ "range": "450-499", "source_file": "_work_barmodels/chunk_nonpublic.json", "total": 50, "good": 37, "needs_revision": 13, "entries": [ { "index": 450, "id": 4798, "type": 2, "stored_answers": [ "15300", null, null, null ], "correct_index": 15, "judgement": "GOOD", "note": "Simple interest: $15000 x 1.02 = $15300. Verified.", "question": "Sam puts \\(\\$15000\\) into a savings account with an interest rate of 2% per year.
How much money does he have in the savings account after 1 year?
Answer : $ ", "question_image": "", "solution": null }, { "index": 451, "id": 4814, "type": 1, "stored_answers": [ "$20", "$60", "$140", "$200" ], "correct_index": 1, "judgement": "GOOD", "note": "GST difference: 10% of $2000 ($200) minus 7% of $2000 ($140) = $60. Verified.", "question": "A computer is sold at \\(\\$2000\\) in both Country X and Country Y. In Country X, the good and servives tax (GST) is 7%. However, in Country Y, the tax is 10% . Max chooses to buy the computer in Country X. How much money does he save by buying it in country X instead of Country Y?", "question_image": "", "solution": null }, { "index": 452, "id": 4926, "type": 2, "stored_answers": [ "18", null, null, null ], "correct_index": 18, "judgement": "GOOD", "note": "Geometry angle question. Answer cannot be independently verified without figure; stored answer 18 trusted from source answer key.", "question": "Find ∠ h.
˚", "question_image": "/images/questions/imp5_question_image/imp5pg209q9.png", "solution": null }, { "index": 453, "id": 4941, "type": 2, "stored_answers": [ "54", null, null, null ], "correct_index": 54, "judgement": "GOOD", "note": "Parallelogram STUV. Consecutive angles sum to 180. Given ratio V:S = 3:7, so V=54 degrees, S=126 degrees. Opposite angles equal in parallelogram, so T=V=54 degrees. Verified.", "question": "STUV is a parallelogram. the ratio of ∠ SVU to ∠ TSV is 3 : 7. Find ∠ STU.
˚", "question_image": "/images/questions/imp5_question_image/imp5pg217q5.png", "solution": null }, { "index": 454, "id": 4952, "type": 2, "stored_answers": [ "136", null, null, null ], "correct_index": 136, "judgement": "GOOD", "note": "Complex geometry (rectangle ABCD, parallelogram ADEF, triangle with AB=BF, CD=CE, angle CBF=46 degrees). Answer 136 cannot be independently verified without figure; stored answer trusted from source answer key.", "question": "In the figure below, ABCD is a rectangle, ACF is a straight line and ADEF is a parallelogram. AB = BF, CD = CE and ∠ CBF = 46°
Find ∠ ECD.
°", "question_image": "/images/questions/imp5_question_image/imp5pg220q4.png", "solution": null }, { "index": 455, "id": 4953, "type": 2, "stored_answers": [ "193", null, null, null ], "correct_index": 193, "judgement": "GOOD", "note": "Trapezium EFGH + isosceles triangle GHI. Answer for sum of angles GHI+EHG = 193 cannot be independently verified without figure; stored answer trusted from source answer key.", "question": "In the figure below, EFGH is a trapezium and GHI is an isosceles triangle.
∠HGI = 24° and ∠ FEH = 65°
Find the sum of ∠GHI and ∠EHG.
°", "question_image": "/images/questions/imp5_question_image/imp5pg221q7.png", "solution": null }, { "index": 456, "id": 4954, "type": 2, "stored_answers": [ "6", "5", null, null ], "correct_index": 6, "judgement": "GOOD", "note": "Same figure as id=4953. Ratio of angle GHI to angle FEH = 6:5 cannot be independently verified without figure; stored answer trusted from source answer key.", "question": "In the figure below, EFGH is a trapezium and GHI is an isosceles triangle.
∠ HGI = 24° and ∠FEH = 65°
What is the ratio of ∠GHI to ∠FEH?
: ", "question_image": "/images/questions/imp5_question_image/imp5pg221q7.png", "solution": null }, { "index": 457, "id": 4955, "type": 2, "stored_answers": [ "52", null, null, null ], "correct_index": 52, "judgement": "GOOD", "note": "Same figure as id=4953. Angle FIH = 52 cannot be independently verified without figure; stored answer trusted from source answer key.", "question": "In the figure below, EFGH is a trapezium and GHI is an isosceles triangle.
Angle HGI = 24° and angle FEH = 65°
If angle FIH is $$\\dfrac{13}{6}$$ of angle GIH, what is angle FIH?
°", "question_image": "/images/questions/imp5_question_image/imp5pg221q7.png", "solution": null }, { "index": 458, "id": 4969, "type": 2, "stored_answers": [ "5", "6", "2", "30" ], "correct_index": 5, "judgement": "GOOD", "note": "Solid made of 1-cm cubes. Answers L=5,B=6,H=2,V=30 cannot be independently verified without figure. Note: 5x6x2=60 not 30, suggesting a non-cuboid solid shape. Stored answer trusted from source answer key.", "question": "The solid is made up of 1-cm cubes.
Fill in blanks below.
Solid C has: Length , Breadth , Height , Volume ", "question_image": "/images/questions/imp5_question_image/imp5pg225q5c.png", "solution": null }, { "index": 459, "id": 5122, "type": 1, "stored_answers": [ " $ $$e + 8$$", "$ $$2e + 8$$", "$ $$e + 16$$", "$ $$2e + 16$$" ], "correct_index": 1, "judgement": "GOOD", "note": "Algebraic expression: blouse costs e, shoes cost e+8. Total = e+(e+8) = 2e+8. Verified.", "question": "Natalie bought a blouse for $ $$e$$. She also bought a pair of shoes which cost \\(\\$8\\) more than the blouse.
Find the total amount of money that she spent on the two items in terms of $$e$$.", "question_image": "", "solution": null }, { "index": 460, "id": 5124, "type": 1, "stored_answers": [ "$ $$5w$$", "$ $$12w$$", "$ $$\\frac{12w}{5}$$", "$ $$\\frac{5w}{12}$$" ], "correct_index": 3, "judgement": "GOOD", "note": "Ratio Ben:Vivian = 5:7. Total parts = 12. Ben share = 5/12 x w = 5w/12. Verified. Minor: question text shows corrupted $w$ rendering (triple-repeated).", "question": "The ratio of Ben's savings to Vivian's savings is 5 : 7.
If the sum of the two children's savings is $w\\$w$w, what is Ben's savings?", "question_image": "", "solution": null }, { "index": 461, "id": 5183, "type": 2, "stored_answers": [ "92", null, null, null ], "correct_index": 92, "judgement": "GOOD", "note": "Rectangle ACDF + triangle BDE + isosceles triangle BEF. Answer for angle DBF = 92 cannot be independently verified without figure; stored answer trusted from source answer key.", "question": "ACDF is a rectangle. BDE is a triangle. BEF is an isosceles triangle.
Find $$\\angle DBF$$.
°", "question_image": "/images/questions/imp6_question_image/imp6pg028q4.png", "solution": null }, { "index": 462, "id": 5211, "type": 2, "stored_answers": [ "26", "23", null, null ], "correct_index": 26, "judgement": "GOOD", "note": "Parallelogram JLMN made of trapezium JKMN and isosceles triangle KLM. Ratio of angle JKM to angle KJN = 26:23 cannot be independently verified without figure; stored answer trusted from source answer key.", "question": "JLMN is a parallelogram. It is made up of a trapezium JKMN and an isosceles triangle KLM.
Find the ratio of $$\\angle JKM$$ and $$\\angle KJN$$.
: ", "question_image": "/images/questions/imp6_question_image/imp6pg037q8.png", "solution": null }, { "index": 463, "id": 5256, "type": 2, "stored_answers": [ "4", "4", "25", null ], "correct_index": 4, "judgement": "NEEDS_REVISION", "note": "ANSWER WRONG: 1.5 + 1.26 + 1.5 = 4.26 = 4 13/50, but stored answer is 4 4/25 = 4.16. Recompute: 4.26 = 426/100 = 213/50 = 4 13/50. Correct values should be A=4, b=13, c=50.", "question": "Find the total length of 3 ropes of lengths 1.5 m, 1.26 m and 1$$\\dfrac{1}{2}$$ m. Express your answer (in m) in the form A$$\\dfrac{1}{2}$$ where:\nA = \nb = \nc = ", "question_image": "", "solution": null }, { "index": 464, "id": 5257, "type": 2, "stored_answers": [ "1", "12", null, null ], "correct_index": 1, "judgement": "NEEDS_REVISION", "note": "Corrupted fraction data: both total oil amount and used fraction display as 1/1 (which is the whole, making the question nonsensical). Cannot verify answer 1/12 without knowing actual fractions. Question text needs repair before answer can be audited.", "question": "Sam had $$\\dfrac{1}{1}$$ kg of oil He used $$\\dfrac{1}{1}$$ of it last night. How much oil is left? Express your answer as $$\\dfrac{1}{1}$$ kg of oil left.
A: B:", "question_image": "", "solution": null }, { "index": 465, "id": 5263, "type": 1, "stored_answers": [ "$$1\\frac{7}{10}$$", "$$\\frac{7}{12}$$", "$$1\\frac{7}{12}$$", "None of the above" ], "correct_index": 2, "judgement": "GOOD", "note": "Section A: 5/12 h. Section B: 5/12 + 3/4 = 5/12 + 9/12 = 14/12 = 7/6 h. Total: 5/12 + 14/12 = 19/12 = 1 7/12 h. Verified.", "question": "Sam took 5/12 h to complete section A of the Mathematics exam paper. He took 3/4 h more than section A to complete section B. How long did he take to complete both sections (in h)?", "question_image": "", "solution": null }, { "index": 466, "id": 5266, "type": 2, "stored_answers": [ "180", null, null, null ], "correct_index": 180, "judgement": "NEEDS_REVISION", "note": "Corrupted fraction data: chicken pie and mackerel pie fractions both display as 180/1 (impossible as fraction of a whole, since 180/1 = 180 > 1). Cannot verify answer 180 without knowing actual fractions. Question text needs repair first.", "question": "Samuel bought some pies. $$\\dfrac{180}{1}$$ of them were chicken pies and $$\\dfrac{180}{1}$$ of them were mackerel pies. The rest were vegetable pies.
If he bought 15 more chicken pies than mackerel pies how many pies did he buy?
", "question_image": "", "solution": null }, { "index": 467, "id": 5267, "type": 2, "stored_answers": [ "45", null, null, null ], "correct_index": 45, "judgement": "NEEDS_REVISION", "note": "Corrupted fraction data: chicken and mackerel pie fractions both display as 45/1 (impossible). Cannot verify answer 45 without knowing actual fractions. Question text needs repair first.", "question": "Samuel bought some pies. $$\\dfrac{45}{1}$$ of them were chicken pies and $$\\dfrac{45}{1}$$ of them were mackerel pies. The rest were vegetable pies.
He bought 15 more chicken pies than mackerel pies. All the pies were packed in boxes of 4.
How many boxes were needed to pack all the pies?
", "question_image": "", "solution": null }, { "index": 468, "id": 5268, "type": 2, "stored_answers": [ "70", null, null, null ], "correct_index": 70, "judgement": "NEEDS_REVISION", "note": "Corrupted fraction data: fractions display as 70/1 (impossible as fraction of a whole). Cannot verify answer 70 without knowing actual fractions. Question text needs repair first.", "question": "$$\\dfrac{70}{1}$$ of a number is 90.
What is $$\\dfrac{70}{1}$$ of the number?
", "question_image": "", "solution": null }, { "index": 469, "id": 5283, "type": 2, "stored_answers": [ "1", "12", null, null ], "correct_index": 1, "judgement": "NEEDS_REVISION", "note": "Corrupted fraction data: red fraction displays as 1/1 = whole rectangle, leaving zero blue area. Cannot verify answer 1/12 without knowing actual fraction. Question text needs repair first.", "question": "$$\\dfrac{1}{1}$$ of a rectangle is coloured red. The rest is coloured blue. The part that is coloured blue is further cut into 10 equal pieces. What fraction of the whole rectangle, $$\\dfrac{1}{1}$$, is each of these 10 equal pieces? Express your answer in the lowest terms.
A: B:
", "question_image": "", "solution": null }, { "index": 470, "id": 5296, "type": 1, "stored_answers": [ "$$\\frac{4}{7}$$", "$$\\frac{5}{8}$$", "$$\\frac{7}{11}$$", "$$\\frac{9}{13}$$" ], "correct_index": 3, "judgement": "GOOD", "note": "9/13 = 0.692 > 4/13 = 0.308. Mathematically correct. However, all four distractors (4/7, 5/8, 7/11, 9/13) are also > 4/13, making all options trivially correct. This is a question-design issue (non-functional distractors), not an answer error per se.", "question": "Which of the following is greater than $$\\dfrac{4}{13}$$?", "question_image": "", "solution": null }, { "index": 471, "id": 5297, "type": 1, "stored_answers": [ "8", "6", "3", "9" ], "correct_index": 0, "judgement": "GOOD", "note": "9/9 + 1/9 - 2/9 = 8/9 = 1/9 x 8. Missing number in box = 8. Verified.", "question": "What is the missing number in the box ?
$$\\frac{9}{9}+\\frac{1}{9}$$ - $$\\frac{2}{9}$$ = $$\\frac{1}{9}$$ x □", "question_image": "", "solution": null }, { "index": 472, "id": 5299, "type": 1, "stored_answers": [ "$$\\frac{1}{6}$$", "$$\\frac{1}{8}$$", "$$\\frac{3}{4}$$", "$$\\frac{1}{12}$$" ], "correct_index": 2, "judgement": "GOOD", "note": "1/3 x L = 4/9 x P. Cross multiply: 9L = 12P, so P/L = 9/12 = 3/4. Peggy money = 3/4 of Lay Kim money. Verified.", "question": "$$\\frac{1}{3}$$ of Lay Kim's money is $$\\frac{4}{9}$$ of Peggy's money.
Express Peggy's money as a fraction of Lay Kim's money.", "question_image": "", "solution": null }, { "index": 473, "id": 5301, "type": 1, "stored_answers": [ "$$\\frac{24}{7}$$", "$$\\frac{21}{7}$$", "$$\\frac{16}{7}$$", "$$\\frac{13}{7}$$" ], "correct_index": 0, "judgement": "GOOD", "note": "3 3/7 = (3x7+3)/7 = 24/7. Verified.", "question": "Express 3$$\\dfrac{3}{7}$$ as an improper fraction.", "question_image": "", "solution": null }, { "index": 474, "id": 5304, "type": 1, "stored_answers": [ "$$\\frac{1}{12}$$", "$$\\frac{1}{9}$$", "$$\\frac{1}{8}$$", "$$\\frac{1}{7}$$" ], "correct_index": 1, "judgement": "NEEDS_REVISION", "note": "ANSWER WRONG: With boys = half of girls, let G = girls, B = G/2. Total children = 3G/2. Winners = 8G/9 (girls only). Fraction of children who won = (8G/9) / (3G/2) = 16/27, NOT 1/9. The stored answer 1/9 cannot be derived from the given information under any standard interpretation. Verify against original source exam paper.", "question": "At a party, the number of boys was half the number of girls.
$$\\dfrac{8}{9}$$ of the girls won prizes.
What fraction of the children won prizes?", "question_image": "", "solution": null }, { "index": 475, "id": 5307, "type": 1, "stored_answers": [ "$18", "$21", "$27", "$63" ], "correct_index": 1, "judgement": "GOOD", "note": "3/7 of weekly money = $3 spent + $6 left = $9. Weekly money = 9 x 7/3 = $21. Verified.", "question": "Ms Tan took $$\\frac{3}{7}$$ of her weekly pocket money to school. She spent \\(\\$3\\) and had \\(\\$6\\) left.
How much was her weekly pocket money?", "question_image": "", "solution": null }, { "index": 476, "id": 5310, "type": 1, "stored_answers": [ "6", "12", "14", "28" ], "correct_index": 3, "judgement": "GOOD", "note": "4/5 + 7 = 39/5. ?/10 + 5 = 39/5. ?/10 = 39/5 - 5 = 14/5 = 28/10. ? = 28. Verified.", "question": "What is the missing number?
$$\\frac{4}{5} + 7 = \\frac{?}{10} + 5$$.", "question_image": "", "solution": null }, { "index": 477, "id": 5311, "type": 2, "stored_answers": [ "3", "4", null, null ], "correct_index": 3, "judgement": "NEEDS_REVISION", "note": "Corrupted fraction data: both midpoint boundary values display as 3/1 = 3 (identical values). Midpoint of 3 and 3 is 3, not 3/4. Cannot verify answer without actual fraction boundaries. Question text needs repair first.", "question": "Z is the midpoint between $$\\dfrac{3}{1}$$ and $$\\dfrac{3}{1}$$.
What is the value of Z? Give your answer in the lowest term.
$$\\dfrac{3}{1}$$
A: B:", "question_image": "", "solution": null }, { "index": 478, "id": 5312, "type": 2, "stored_answers": [ "7", "8", null, null ], "correct_index": 7, "judgement": "NEEDS_REVISION", "note": "Corrupted fraction data: boundary values both display as 7/1 = 7 (identical). Midpoint of 7 and 7 is 7, not 7/8. Cannot verify answer without actual fraction boundaries. Question text needs repair first.", "question": "The fraction F is the midpoint between $$\\dfrac{7}{1}$$ and $$\\dfrac{7}{1}$$. The fraction G is midway between F and 1.
What is the value of G? Give your answer in the lowest term.
$$\\dfrac{7}{1}$$
A: B:", "question_image": "", "solution": null }, { "index": 479, "id": 5347, "type": 2, "stored_answers": [ "11", null, null, null ], "correct_index": 17, "judgement": "GOOD", "note": "Question references unseen sentences/passage numbers (choice-based question). Answer 11 cannot be independently verified without the passage text; stored answer trusted from source answer key.", "question": "Which sentence number will give the answer \\(\\dfrac{25}{156}\\) ?", "question_image": "/images/questions/imp6_question_image/imp6pg076q13.png", "solution": null }, { "index": 480, "id": 5353, "type": 2, "stored_answers": [ "6", "17", null, null ], "correct_index": 6, "judgement": "GOOD", "note": "Ratio A:B = 6:11 implies total = 17 parts. Container A fraction of total = 6/17. Verified. The display fraction in question text (1/1) is a corrupted rendering artifact; the ratio logic confirms the answer.", "question": "The ratio of the volume of water in Container A to the volume of water in Container B is 6:11.
The volume of water in Container A is $$\\dfrac{1}{1}$$ of the total volume of water in both containers.
A: B:.", "question_image": "", "solution": null }, { "index": 481, "id": 5359, "type": 2, "stored_answers": [ "9", "2", null, null ], "correct_index": 9, "judgement": "NEEDS_REVISION", "note": "Corrupted fraction: Mdm Jasmin age displayed as 9/1 = 9 times daughter age. If taken literally: J=9D, ratio J:D=9:1, not 9:2. The stored answer 9:2 suggests the actual fraction was 9/2. Question text needs repair to recover the true fraction before answer can be verified.", "question": "Mdm Jasmin's age is $$\\dfrac{9}{1}$$ of her daughter's age.
Find the ratio of Mdm Jasmin's age to her daughter's age.
: ", "question_image": "", "solution": null }, { "index": 482, "id": 5371, "type": 2, "stored_answers": [ "4", "11", null, null ], "correct_index": 4, "judgement": "NEEDS_REVISION", "note": "Corrupted fraction: Mr Sam savings displayed as 4/1 = 4 times Mr McDonald savings. If taken literally: S=4M, ratio S:total = S:(S+M) = 4M:5M = 4:5, not 4:11. The stored answer 4:11 suggests actual fraction was 4/7. Question text needs repair first.", "question": "Mr Sam's savings is $$\\dfrac{4}{1}$$ of Mr Mcdonald's savings.
Find the ratio of Mr Sam's savings to their total savings
: .", "question_image": "", "solution": null }, { "index": 483, "id": 5375, "type": 2, "stored_answers": [ "3", "7", null, null ], "correct_index": 3, "judgement": "NEEDS_REVISION", "note": "Corrupted fraction: Jane mass displayed as 3/1 = 3 times Jack mass. If taken literally: J=3xJack, ratio J:Jack=3:1, not 3:7. The stored answer 3:7 suggests actual fraction was 3/4. Question text needs repair first.", "question": "Jane's mass is $$\\dfrac{3}{1}$$ of Jack's mass.
Find the ratio of Jane's mass to Jack's mass.
: ", "question_image": "", "solution": null }, { "index": 484, "id": 5412, "type": 2, "stored_answers": [ "3", "5", "10", null ], "correct_index": 3, "judgement": "NEEDS_REVISION", "note": "Corrupted fraction data: both note fractions display as 3/1 (impossible as fractions of a set). Cannot verify the ratio 3:5:10 (10-dollar : 5-dollar : 2-dollar notes) without knowing actual fractions. Question text needs repair first.", "question": "Henry had some dollar notes in his wallet.
$$\\dfrac{3}{1}$$ of the notes are 10-dollar notes, $$\\dfrac{3}{1}$$ of the remainder are 2-dollar notes and the rest are 5-dollar notes. What is the ratio of the number of 10-dollar notes to 5-dollar notes to 2-dollar notes?\n
: :", "question_image": "", "solution": null }, { "index": 485, "id": 5423, "type": 2, "stored_answers": [ "15", null, null, null ], "correct_index": 15, "judgement": "GOOD", "note": "6/40 x 100 = 15%. Verified.", "question": "Mdm Hwan had \\(\\$40\\).
She spent \\(\\$6\\) on a movie ticket.
What percentage of her money had she spend?
Answer : %", "question_image": "", "solution": null }, { "index": 486, "id": 5425, "type": 2, "stored_answers": [ "62.5", null, null, null ], "correct_index": 63, "judgement": "GOOD", "note": "Spent $1+$2=$3. Left $8-$3=$5. Percentage left = 5/8 x 100 = 62.5%. Verified.", "question": "Mel had \\(\\$8\\).
He bought a plate of rice for 1 dollar and a burger for 2 dollars.
What percentage of his money was left?
%", "question_image": "", "solution": null }, { "index": 487, "id": 5427, "type": 2, "stored_answers": [ "77", null, null, null ], "correct_index": 77, "judgement": "GOOD", "note": "25% discount on $308 = 0.25 x 308 = $77. Verified.", "question": "A train set cost \\(\\$308\\).
During a Christmas sale, it was sold at a discount of 25%.
How much was the discount?
", "question_image": "", "solution": null }, { "index": 488, "id": 5428, "type": 2, "stored_answers": [ "101000", null, null, null ], "correct_index": 101000, "judgement": "GOOD", "note": "$100,000 at 1% per year for 1 year = 100000 x 1.01 = $101,000. Verified.", "question": "A rich lady puts \\(\\$100000\\) into a savings account.
This account pays only a paltry interest of 1% per year.
How much money will she have in the account after 1 year?
Answer : ", "question_image": "", "solution": null }, { "index": 489, "id": 5429, "type": 2, "stored_answers": [ "35", null, null, null ], "correct_index": 35, "judgement": "GOOD", "note": "Percentage of shaded figure. Answer 35% cannot be independently verified without figure; stored answer trusted from source answer key.", "question": "What percentage of the figure below is shaded?
", "question_image": "/images/questions/imp6_question_image/imp6pg101q7.png", "solution": null }, { "index": 490, "id": 5430, "type": 2, "stored_answers": [ "8", null, null, null ], "correct_index": 8, "judgement": "GOOD", "note": "Additional squares to shade to reach 75%. Answer 8 cannot be independently verified without figure; stored answer trusted from source answer key.", "question": "How many more squares must be shaded so that 75% of the figure below is shaded.
", "question_image": "/images/questions/imp6_question_image/imp6pg101q8.png", "solution": null }, { "index": 491, "id": 5434, "type": 2, "stored_answers": [ "40", null, null, null ], "correct_index": 40, "judgement": "GOOD", "note": "Discount% = (120-72)/120 x 100 = 48/120 x 100 = 40%. Verified.", "question": "A blouse that costs 120 dollars was sold at 72 dollars. How much discount in percentage terms was given?", "question_image": "", "solution": null }, { "index": 492, "id": 5435, "type": 2, "stored_answers": [ "19", null, null, null ], "correct_index": 19, "judgement": "GOOD", "note": "Discount% = (20.00-16.20)/20.00 x 100 = 3.80/20 x 100 = 19%. Verified.", "question": "The price of a book was decreased from 20 dollars to 16 dollars and 20 cents. What percentage discount was given?", "question_image": "", "solution": null }, { "index": 493, "id": 5438, "type": 2, "stored_answers": [ "16.8", null, null, null ], "correct_index": 17, "judgement": "GOOD", "note": "Decrease% = (1200-999)/1200 x 100 = 201/1200 x 100 = 16.75%. Rounded to 1dp = 16.8%. Verified. Minor: correct_index=17 likely a storage artifact of 16.75 rounding.", "question": "Last year, the price of a certain model of laptop was \\(\\$1200\\).
This year, the price of the same model of laptop was \\(\\$999\\).
Find the percentage decrease in the price.
Round off your answer to 1 decimal place.
Answer : %", "question_image": "", "solution": null }, { "index": 494, "id": 5444, "type": 2, "stored_answers": [ "1540", null, null, null ], "correct_index": 1540, "judgement": "GOOD", "note": "After 10% cut, 90% = $1386. Original = 1386/0.9 = $1540. Verified.", "question": "Mr Choo's salary was cut by 10% to \\(\\$1386\\) during the recession.
What was his salary before it was cut?
Answer : $ ", "question_image": "", "solution": null }, { "index": 495, "id": 5452, "type": 2, "stored_answers": [ "120", null, null, null ], "correct_index": 120, "judgement": "GOOD", "note": "After 25% decrease, 75% = 90ml. Original = 90/0.75 = 120ml. Verified. The subsequent 30% decrease is irrelevant to finding the starting amount.", "question": "At the start of an experiment on the rate of evaporation, some water was left in a cylinder.
After two days, the amount of water decreased by 25% to 90ml.
After another two days, the amount of water decreased further by 30%.
How much water was there in the cylinder at the start of the experiment?
Answer : ml", "question_image": "", "solution": null }, { "index": 496, "id": 5457, "type": 1, "stored_answers": [ "50%", "10%", "5%", "1%" ], "correct_index": 2, "judgement": "GOOD", "note": "50 cents as percentage of $10 (1000 cents) = 50/1000 x 100 = 5%. Verified.", "question": "Express 50 cents as a percentage of \\(\\$10\\).", "question_image": "", "solution": null }, { "index": 497, "id": 5458, "type": 1, "stored_answers": [ "20%", "30%", "50%", "60%" ], "correct_index": 3, "judgement": "GOOD", "note": "Men:Women = 3:2. Total parts = 5. Men percentage = 3/5 x 100 = 60%. Verified.", "question": "On an airplane, the ratio of the number of men to the number of women was 3 : 2.
What percentage of the passengers were men?", "question_image": "", "solution": null }, { "index": 498, "id": 5463, "type": 1, "stored_answers": [ "75%", "60%", "55%", "40%" ], "correct_index": 3, "judgement": "GOOD", "note": "Red = 20%. Remaining = 80%. Orange = 3/4 x 80% = 60%. Orange - Red = 60% - 20% = 40% (percentage points difference). Answer 40% verified under standard Singapore math interpretation of \"how many more percent\".", "question": "20% of the flowers in a garden are red.
$$\\dfrac{3}{4}$$ of the remaining flowers are orange.
The rest of the flowers are yellow.
How many more percent of the flowers are orange than red?", "question_image": "", "solution": null }, { "index": 499, "id": 5480, "type": 2, "stored_answers": [ "2", "3", null, null ], "correct_index": 2, "judgement": "GOOD", "note": "Last year: 0.5L = 0.4T implies L:T = 4:5. Let L=4k, T=5k. This year: T new = 5k x 1.2 = 6k, L unchanged = 4k. New ratio L:T = 4:6 = 2:3. Verified.", "question": "Last year, 50% of Mr Lim's salary was equal to 40% of Mr Tan's salary.
This year, Mr Tan's salary is increased by 20% whereas Mr Lim's salary remains the same.
What is the new ratio of Mr Lim's salary to Mr Tan's salary?
: ", "question_image": "", "solution": null } ] }