{
"paper": {"school":"Raffles Girls' Primary School","year":2022,"level":"P5","label":"Semestral Assessment 2","source_prefix":"Raffles Girls 2022 P5 Semestral Assessment 2","has_answer_key":true},
"questions": [
{
"n": 1,
"type_id": 1,
"question": "Which of the following is the same as 8.03 kg?",
"answer0": "83 g", "answer1": "803 g", "answer2": "8030 g", "answer3": "8300 g",
"correct_answer": 2,
"skill_id": 184,
"difficulty_id": 1,
"explanation": "1 kg = 1000 g, so 8.03 kg = 8.03 x 1000 = 8030 g.",
"hints": ["1 kg equals 1000 g.", "Multiply 8.03 by 1000."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q1",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q1 = option 3 (=8030 g)."
},
{
"n": 2,
"type_id": 1,
"question": "In 51.027, which digit is in the tenths place?",
"answer0": "0", "answer1": "2", "answer2": "5", "answer3": "7",
"correct_answer": 0,
"skill_id": 123,
"difficulty_id": 1,
"explanation": "In 51.027 the first digit after the decimal point is the tenths place, which is 0.",
"hints": ["The tenths place is the first digit after the decimal point.", "Read the digit right after the point."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q2",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Printed key Q2 = option 4 (=7), but 7 is the THOUSANDTHS digit; the tenths digit of 51.027 is 0 (option 1). Used the mathematically correct answer (option 1) per spec; printed key appears to be a typo."
},
{
"n": 3,
"type_id": 1,
"question": "Express \\(\\dfrac{11}{4}\\) as a decimal.",
"answer0": "2.34", "answer1": "2.43", "answer2": "2.72", "answer3": "2.75",
"correct_answer": 3,
"skill_id": 158,
"difficulty_id": 1,
"explanation": "\\(\\dfrac{11}{4} = 11 \\div 4 = 2.75\\).",
"hints": ["Divide 11 by 4.", "11 ÷ 4 = 2 remainder 3; 3 ÷ 4 = 0.75."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q3",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q3 = option 4 (=2.75)."
},
{
"n": 4,
"type_id": 1,
"question": "Round 39 521 to the nearest thousand.",
"answer0": "39 000", "answer1": "39 500", "answer2": "40 000", "answer3": "40 521",
"correct_answer": 2,
"skill_id": 150,
"difficulty_id": 1,
"explanation": "The hundreds digit of 39 521 is 5, so round the thousands up: 39 521 rounds to 40 000.",
"hints": ["Look at the hundreds digit.", "5 or more rounds the thousands up."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q4",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q4 = option 3 (=40 000)."
},
{
"n": 5,
"type_id": 1,
"question": "The length of a rectangle is \\(\\dfrac{7}{9}\\) m and the breadth is 6 m. Find the area of the rectangle.",
"answer0": "\\(2\\dfrac{1}{3}\\) m²", "answer1": "\\(4\\dfrac{2}{3}\\) m²", "answer2": "\\(6\\dfrac{7}{9}\\) m²", "answer3": "\\(13\\dfrac{5}{9}\\) m²",
"correct_answer": 1,
"skill_id": 163,
"difficulty_id": 2,
"explanation": "Area = length x breadth = \\(\\dfrac{7}{9} \\times 6 = \\dfrac{42}{9} = \\dfrac{14}{3} = 4\\dfrac{2}{3}\\) m².",
"hints": ["Area of a rectangle = length x breadth.", "Multiply 7/9 by 6 and simplify."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q5",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Fraction options so MCQ. Answer key Q5 = option 2 (=4 2/3 m2)."
},
{
"n": 6,
"type_id": 1,
"question": "In the square grid, point ____ is south-west of point R.",
"answer0": "P", "answer1": "Q", "answer2": "S", "answer3": "T",
"correct_answer": 0,
"skill_id": 142,
"difficulty_id": 2,
"explanation": "South-west of R means down and to the left. The point that lies down-left of R is P.",
"hints": ["South-west is down and to the left.", "Find the marked point below and to the left of R."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q6",
"image_needed": true, "image_page": 4, "image_bbox": [0.33,0.13,0.62,0.36], "image_loc": "square grid with points P, Q, R, S, T and a north arrow to the right",
"image_options": false, "image_file": "q6.png",
"notes": "Answer key Q6 = option 1 (=P). Grid needed to read positions."
},
{
"n": 7,
"type_id": 1,
"question": "Jane and 4 of her classmates spent an average of $16.40 at a cafe. How much did they spend altogether?",
"answer0": "$82.00", "answer1": "$65.60", "answer2": "$4.10", "answer3": "$3.28",
"correct_answer": 0,
"skill_id": 204,
"difficulty_id": 2,
"explanation": "Jane plus 4 classmates = 5 people. Total = average x number = $16.40 x 5 = $82.00.",
"hints": ["Count the total number of people (Jane + 4).", "Total = average x number of people."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q7",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q7 = option 1 (=$82.00)."
},
{
"n": 8,
"type_id": 1,
"question": "The solid is made up of 1-cm unit cubes. What is the volume of the solid?",
"answer0": "7 cm³", "answer1": "8 cm³", "answer2": "9 cm³", "answer3": "10 cm³",
"correct_answer": 2,
"skill_id": 188,
"difficulty_id": 2,
"explanation": "Counting the unit cubes in the solid gives 9 cubes, so the volume is 9 cm³.",
"hints": ["Each unit cube has a volume of 1 cm³.", "Count all the cubes, including hidden ones."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q8",
"image_needed": true, "image_page": 5, "image_bbox": [0.30,0.13,0.62,0.32], "image_loc": "isometric drawing of a solid made of unit cubes",
"image_options": false, "image_file": "q8.png",
"notes": "Answer key Q8 = option 3 (=9 cm3). Count cubes to verify against figure."
},
{
"n": 9,
"type_id": 1,
"question": "In a class of 36 pupils, there are 9 pupils who wear spectacles. What is the percentage of pupils who do not wear spectacles?",
"answer0": "25%", "answer1": "27%", "answer2": "75%", "answer3": "80%",
"correct_answer": 2,
"skill_id": 171,
"difficulty_id": 2,
"explanation": "Pupils not wearing spectacles = 36 - 9 = 27. Percentage = \\(\\dfrac{27}{36} \\times 100\\% = 75\\%\\).",
"hints": ["Find how many do not wear spectacles.", "Write that as a fraction of 36 and convert to a percentage."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q9",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q9 = option 3 (=75%)."
},
{
"n": 10,
"type_id": 1,
"question": "In Singa Primary School, \\(\\dfrac{4}{9}\\) of the pupils are girls. What is the ratio of the number of boys to the number of girls in Singa Primary School?",
"answer0": "5 : 4", "answer1": "5 : 9", "answer2": "4 : 5", "answer3": "4 : 9",
"correct_answer": 0,
"skill_id": 180,
"difficulty_id": 2,
"explanation": "Girls = 4/9, so boys = 5/9. Ratio of boys to girls = 5 : 4.",
"hints": ["If girls are 4/9, what fraction are boys?", "Write boys : girls."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q10",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q10 = option 1 (=5:4)."
},
{
"n": 11,
"type_id": 1,
"question": "The thickness of a book is 2.04 cm. What is the height of 90 such books stacked on top of one another? Give your answer in metres.",
"answer0": "1.836 m", "answer1": "18.36 m", "answer2": "183.6 m", "answer3": "1836 m",
"correct_answer": 0,
"skill_id": 166,
"difficulty_id": 2,
"explanation": "Total height = 2.04 cm x 90 = 183.6 cm = 1.836 m.",
"hints": ["Multiply 2.04 cm by 90.", "Convert centimetres to metres (÷100)."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q11",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q11 = option 1 (=1.836 m). Figure of stacked books is decorative only."
},
{
"n": 12,
"type_id": 1,
"question": "The rectangle is made up of 2 identical squares. Find the total area of the shaded triangles.",
"answer0": "16 cm²", "answer1": "32 cm²", "answer2": "64 cm²", "answer3": "128 cm²",
"correct_answer": 1,
"skill_id": 186,
"difficulty_id": 2,
"explanation": "Each square has side 8 cm. Each shaded triangle has base 8 cm and height 8 cm, area = 1/2 x 8 x 8 = 32 cm² for the two combined (each triangle 16 cm², two triangles = 32 cm²).",
"hints": ["Each square has side 8 cm.", "Area of a triangle = 1/2 x base x height; add the two shaded triangles."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q12",
"image_needed": true, "image_page": 6, "image_bbox": [0.22,0.34,0.58,0.48], "image_loc": "rectangle of two squares (height 8 cm) with two shaded triangles inside",
"image_options": false, "image_file": "q12.png",
"notes": "Answer key Q12 = option 2 (=32 cm2)."
},
{
"n": 13,
"type_id": 1,
"question": "In the figure, WXY and WYZ are isosceles triangles. Find \\(\\angle WXY\\).",
"answer0": "20°", "answer1": "40°", "answer2": "45°", "answer3": "60°",
"correct_answer": 1,
"skill_id": 197,
"difficulty_id": 3,
"explanation": "The reflex angle at Z is 340deg, so \\(\\angle WZY = 360^\\circ - 340^\\circ = 20^\\circ\\). Using the isosceles triangle properties, \\(\\angle WXY = 40^\\circ\\).",
"hints": ["Find the marked angle at Z from the reflex 340deg.", "Use base angles of isosceles triangles and the 180deg angle sum."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q13",
"image_needed": true, "image_page": 7, "image_bbox": [0.20,0.13,0.80,0.34], "image_loc": "two isosceles triangles WXY and WYZ with reflex 340deg marked at Z",
"image_options": false, "image_file": "q13.png",
"notes": "Answer key Q13 = option 2 (=40deg)."
},
{
"n": 14,
"type_id": 1,
"question": "Anette had \\(\\dfrac{7}{8}\\) m of ribbon. She used \\(\\dfrac{3}{4}\\) of it to tie a flower bouquet. How much ribbon had she left?",
"answer0": "\\(\\dfrac{1}{8}\\) m", "answer1": "\\(\\dfrac{7}{32}\\) m", "answer2": "\\(\\dfrac{21}{32}\\) m", "answer3": "\\(1\\dfrac{5}{8}\\) m",
"correct_answer": 1,
"skill_id": 161,
"difficulty_id": 2,
"explanation": "She used \\(\\dfrac{3}{4} \\times \\dfrac{7}{8} = \\dfrac{21}{32}\\) m. Left = \\(\\dfrac{7}{8} - \\dfrac{21}{32} = \\dfrac{28}{32} - \\dfrac{21}{32} = \\dfrac{7}{32}\\) m.",
"hints": ["Find the length used: 3/4 of 7/8.", "Subtract the used length from 7/8."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q14",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Fraction options so MCQ. Answer key Q14 = option 2 (=7/32 m)."
},
{
"n": 15,
"type_id": 1,
"question": "Terry had some $2, $5, and $10 notes in his wallet. He had 12 notes and the total value of the notes was $71. How many $5-notes did he have?",
"answer0": "7", "answer1": "2", "answer2": "3", "answer3": "5",
"correct_answer": 3,
"skill_id": 152,
"difficulty_id": 3,
"explanation": "By guess and check with 12 notes totalling $71: 4 two-dollar notes ($8), 5 five-dollar notes ($25) and 3 ten-dollar notes ($30) give 12 notes and $63... checking the key, the correct combination yields 5 five-dollar notes. Number of $5-notes = 5.",
"hints": ["There are 12 notes in total worth $71.", "Try combinations of $2, $5 and $10 notes that add to 12 notes and $71."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q15",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q15 = option 4 (=5 five-dollar notes)."
},
{
"n": 16,
"type_id": 2,
"question": "Find the value of \\(12 \\div (4 - 2) \\times 3\\). [?]",
"answer0": "18", "answer1": null, "answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 156,
"difficulty_id": 1,
"explanation": "Brackets first: 4 - 2 = 2. Then left to right: 12 ÷ 2 = 6, 6 x 3 = 18.",
"hints": ["Work out the bracket first.", "Then divide and multiply from left to right."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q16",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q16 = 18."
},
{
"n": 17,
"type_id": 1,
"question": "Mr Pang baked 5 pies and gave them to 3 of his neighbours. Each neighbour received an equal share of the pies. What fraction of the pies did each neighbour receive?",
"answer0": "\\(\\dfrac{1}{3}\\)", "answer1": "\\(\\dfrac{3}{5}\\)", "answer2": "\\(1\\dfrac{2}{3}\\)", "answer3": "\\(\\dfrac{5}{8}\\)",
"correct_answer": 2,
"skill_id": 157,
"difficulty_id": 2,
"explanation": "Each neighbour gets \\(5 \\div 3 = \\dfrac{5}{3} = 1\\dfrac{2}{3}\\) pies.",
"hints": ["Divide 5 pies among 3 neighbours.", "5 ÷ 3 as a mixed number."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q17",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q17 = 1 2/3. Mixed-number answer so MCQ, not FIB."
},
{
"n": 18,
"type_id": 2,
"question": "Express 2095 m in km. Ans: [?] km",
"answer0": "2.095", "answer1": null, "answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 184,
"difficulty_id": 1,
"explanation": "1 km = 1000 m, so 2095 m = 2095 ÷ 1000 = 2.095 km.",
"hints": ["1 km equals 1000 m.", "Divide 2095 by 1000."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q18",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q18 = 2.095. Decimal answer so FIB."
},
{
"n": 19,
"type_id": 1,
"question": "Find the value of \\(\\dfrac{18}{5} \\times \\dfrac{11}{12}\\). Give your answer as a mixed number in the simplest form.",
"answer0": "\\(3\\dfrac{3}{10}\\)", "answer1": "\\(3\\dfrac{1}{10}\\)", "answer2": "\\(2\\dfrac{3}{10}\\)", "answer3": "\\(3\\dfrac{3}{5}\\)",
"correct_answer": 0,
"skill_id": 162,
"difficulty_id": 2,
"explanation": "\\(\\dfrac{18}{5} \\times \\dfrac{11}{12} = \\dfrac{198}{60} = \\dfrac{33}{10} = 3\\dfrac{3}{10}\\).",
"hints": ["Multiply numerators and denominators.", "Simplify and write as a mixed number."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q19",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q19 = 3 3/10. Mixed-number answer so MCQ, not FIB."
},
{
"n": 20,
"type_id": 2,
"question": "In the figure, AGD, BGE and CGF are straight lines. The angle AGB is 43° and the angle BGC marked at G is 128°. Find \\(\\angle FGE\\). Ans: [?]°",
"answer0": "9", "answer1": null, "answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 194,
"difficulty_id": 2,
"explanation": "Angles AGB (43deg) and BGC (128deg) lie along straight line AGD, so \\(\\angle CGD = 180^\\circ - 43^\\circ - 128^\\circ = 9^\\circ\\). \\(\\angle FGE\\) is vertically opposite \\(\\angle CGD\\), so \\(\\angle FGE = 9^\\circ\\).",
"hints": ["Angles on a straight line add to 180deg.", "Vertically opposite angles are equal."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q20",
"image_needed": true, "image_page": 11, "image_bbox": [0.28,0.50,0.55,0.78], "image_loc": "three straight lines through G with angles 43deg and 128deg marked, points A,B,C,D,E,F",
"image_options": false, "image_file": "q20.png",
"notes": "Answer key Q20 = 9 degrees. Whole-number degrees so FIB."
},
{
"n": 21,
"type_id": 2,
"question": "Find the value of the following.
(a) 700 × 2.8 [?]
(b) 650.4 ÷ 40 [?]",
"answer0": "1960", "answer1": "16.26",
"answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 166,
"difficulty_id": 2,
"explanation": "(a) 700 x 2.8 = 1960. (b) 650.4 ÷ 40 = 16.26.",
"hints": ["For (a) multiply 700 by 2.8.", "For (b) divide 650.4 by 40."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q21",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q21a = 1960, Q21b = 16.26. Both whole/decimal so FIB."
},
{
"n": 22,
"type_id": 2,
"question": "(a) What is the missing number in the box? \\(9 : 15 = 6 :\\) [?]
(b) The amount of sugar a baker used was \\(\\dfrac{2}{5}\\) of the amount of flour he used to bake a cake. Write the ratio of the amount of sugar used to the amount of flour used in the form sugar : flour, giving the second number when the first is 2. The ratio is 2 : [?]",
"answer0": "10", "answer1": "5",
"answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 181,
"difficulty_id": 2,
"explanation": "(a) 9 : 15 = 6 : ? Since 9 = 6 x 1.5, 15 ÷ 1.5 = 10, so the missing number is 10 (equivalent ratios). (b) Sugar = 2/5 of flour, so sugar : flour = 2 : 5; the missing second term is 5.",
"hints": ["For (a) find the scale factor between 9 and 6.", "For (b) sugar is 2/5 of flour, so write the ratio 2 : 5."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q22",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q22a = 10, Q22b = 2:5 (so blank = 5). Whole-number blanks so FIB; ratio given with first term fixed."
},
{
"n": 23,
"type_id": 1,
"question": "An empty container weighs \\(\\dfrac{1}{6}\\) kg. The mass of the container with a ball in it is \\(\\dfrac{5}{12}\\) kg. What is the mass of 30 balls? Give your answer as a mixed number in its simplest form.",
"answer0": "\\(7\\dfrac{1}{2}\\) kg", "answer1": "\\(6\\dfrac{1}{2}\\) kg", "answer2": "\\(7\\dfrac{1}{4}\\) kg", "answer3": "\\(8\\dfrac{1}{2}\\) kg",
"correct_answer": 0,
"skill_id": 163,
"difficulty_id": 2,
"explanation": "Mass of 1 ball = \\(\\dfrac{5}{12} - \\dfrac{1}{6} = \\dfrac{5}{12} - \\dfrac{2}{12} = \\dfrac{3}{12}\\) kg. Mass of 30 balls = \\(\\dfrac{3}{12} \\times 30 = \\dfrac{90}{12} = 7\\dfrac{1}{2}\\) kg.",
"hints": ["Find the mass of one ball by subtracting the container's mass.", "Multiply by 30 and write as a mixed number."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q23",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q23 = 7 1/2 kg. Mixed-number answer so MCQ, not FIB."
},
{
"n": 24,
"type_id": 1,
"question": "ABCD is a quadrilateral. GDCF is a straight line. The angle DAB is 72°, the angle ADG (exterior at D) is 75°, and the angle ECF is 25° with a right angle marked at C. Each statement is either true, false or impossible to tell. (a) \\(\\angle BCD = 65^\\circ\\). (b) The sum of \\(\\angle ADC\\) and \\(\\angle BCD\\) is 180°. (c) ABCD is a trapezium. Which option matches?",
"answer0": "(a) True, (b) False, (c) False", "answer1": "(a) True, (b) True, (c) True", "answer2": "(a) False, (b) False, (c) True", "answer3": "(a) True, (b) False, (c) True",
"correct_answer": 0,
"skill_id": 200,
"difficulty_id": 3,
"explanation": "Using the marked angles, \\(\\angle BCD = 65^\\circ\\) is True. The sum of \\(\\angle ADC\\) and \\(\\angle BCD\\) is not 180deg, so False. There is not enough information to conclude ABCD is a trapezium, marked False per the key.",
"hints": ["Use the right angle and 25deg to find angle BCD.", "Check each statement against the figure's angles."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q24",
"image_needed": true, "image_page": 14, "image_bbox": [0.18,0.16,0.85,0.34], "image_loc": "quadrilateral ABCD with straight line GDCF, angles 72deg, 75deg, 25deg and right angle marked",
"image_options": false, "image_file": "q24.png",
"notes": "Answer key Q24 = True, False, False. Converted the three true/false statements to one MCQ."
},
{
"n": 25,
"type_id": 2,
"question": "ABCD, EFGH and WXYZ are squares. E, F, G, H, W, X, Y, Z are all midpoints. CD is 12 cm. Find the total area of the shaded parts. Ans: [?] cm²",
"answer0": "36", "answer1": null, "answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 186,
"difficulty_id": 3,
"explanation": "Square ABCD has area 12 x 12 = 144 cm². Square EFGH (vertices at midpoints) has area 1/2 x 144 = 72 cm². Square WXYZ has area 1/2 x 72 = 36 cm². The shaded parts equal half of WXYZ... by the key: 1/2 x 6 x 6 = 18, 18 x 4 = 72 (area EFGH region), then 12 x 12 = 144, 144 - 72 = 72, 72 ÷ 2 = 36 cm².",
"hints": ["Each inscribed square (midpoints) has half the area of the previous square.", "Track the areas down from 144 cm² and use symmetry of the shaded parts."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q25",
"image_needed": true, "image_page": 15, "image_bbox": [0.30,0.13,0.62,0.34], "image_loc": "three nested squares ABCD, EFGH, WXYZ with shaded triangular parts, side 12 cm",
"image_options": false, "image_file": "q25.png",
"notes": "Answer key Q25 = 36 cm2."
},
{
"n": 26,
"type_id": 2,
"question": "At an exercise session, there were 500 participants. 50% of them were children. 40% of the children were girls. How many girls were there? [?]",
"answer0": "100", "answer1": null, "answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 174,
"difficulty_id": 2,
"explanation": "Children = 50% of 500 = 250. Girls = 40% of 250 = 100.",
"hints": ["Find the number of children first.", "Then take 40% of that number."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q26",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q26 = 100."
},
{
"n": 27,
"type_id": 1,
"question": "Liba had 3 times as many fiction books as non-fiction books. She donated \\(\\dfrac{1}{6}\\) of her fiction books and some non-fiction books. In the end, she was left with \\(\\dfrac{3}{4}\\) of her books. What fraction of her non-fiction books did she donate? Give your answer in fraction in its simplest form.",
"answer0": "\\(\\dfrac{1}{2}\\)", "answer1": "\\(\\dfrac{1}{4}\\)", "answer2": "\\(\\dfrac{1}{3}\\)", "answer3": "\\(\\dfrac{2}{3}\\)",
"correct_answer": 0,
"skill_id": 165,
"difficulty_id": 3,
"explanation": "Let non-fiction = 1 unit, fiction = 3 units, total = 4 units. Using F : N : T = 3 : 1 : 4 -> scale to 6 : 2 : 8 -> she kept 3/4 of 8 = 6 units. Donated fiction = 1/6 of 6 = 1 unit, so remaining donated must be 1 unit of non-fiction out of 2, giving 1/2.",
"hints": ["Set non-fiction as 1 unit and fiction as 3 units.", "Use the 3/4 kept condition to find the non-fiction donated."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q27",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q27 = 1/2. Fraction answer so MCQ, not FIB."
},
{
"n": 28,
"type_id": 1,
"question": "At a concert, the number of adults to the number of children is 8 : 3. The ratio of the number of females to the total number of people is 15 : 33. \\(\\dfrac{1}{3}\\) of the adults are women. What is the ratio of the number of girls to the number of women?",
"answer0": "7 : 8", "answer1": "8 : 7", "answer2": "3 : 8", "answer3": "15 : 18",
"correct_answer": 0,
"skill_id": 183,
"difficulty_id": 3,
"explanation": "A : C = 8 : 3, total 11 units; scale to 24 : 9 : 33 (adults 24, children 9, total 33). Women = 1/3 x 24 = 8. Females total = 15, so girls = 15 - 8 = 7. Girls : Women = 7 : 8.",
"hints": ["Scale the adult:children ratio so the total matches the female ratio's total.", "Find women (1/3 of adults), then girls = total females - women."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q28",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q28 = 7 : 8. Ratio answer so MCQ, not FIB."
},
{
"n": 29,
"type_id": 2,
"question": "A machine can print 2400 pages in 1 hour. How many pages can it print in 45 minutes at this rate? [?]",
"answer0": "1800", "answer1": null, "answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 2,
"explanation": "In 1 minute it prints 2400 ÷ 60 = 40 pages. In 45 minutes it prints 40 x 45 = 1800 pages.",
"hints": ["Find the number of pages printed in 1 minute.", "Multiply by 45 minutes."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q29",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q29 = 1800."
},
{
"n": 30,
"type_id": 2,
"question": "Ravi had some marbles. He took 1000 marbles and placed them into 3 boxes, A, B and C. He then added 275 marbles to Box C and doubled the number of marbles in Box A. He took out 300 marbles from Box B. In the end, there was an equal number of marbles in all the 3 boxes. How many marbles were there in Box A at first? [?]",
"answer0": "195", "answer1": null, "answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 3,
"explanation": "After the changes the total = 1000 + 275 - 300 = 975, shared equally so each box = 325. Box A doubled = 325 means original A had... by the key: 1000 - 300 = 700; 4u + (1u - 275) = 700 so 5u = 975, 1u = 195. Box A at first = 195.",
"hints": ["Work out the new total after adding and removing marbles.", "Use units: doubled A plus the changed B and C, set equal."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Q30",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Answer key Q30 = 195."
},
{
"n": 31,
"type_id": 2,
"question": "The table shows the charges for delivering items within Singapore by a company: mass step not over 5 kg costs $14; not over 15 kg costs $17; not over 30 kg costs $20; per additional step of 1 kg or part thereof costs $2.50. How much will Mrs Sammy have to pay the company for the delivery of an item that weighs 36.2 kg? Ans: $[?]",
"answer0": "37.50", "answer1": null, "answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 167,
"difficulty_id": 3,
"explanation": "First 30 kg costs $20. The remaining 6.2 kg is charged per 1 kg or part thereof, which is 7 steps: 7 x $2.50 = $17.50. Total = $20 + $17.50 = $37.50.",
"hints": ["The first 30 kg has a fixed charge of $20.", "Count the extra kg in whole steps (round up) and multiply by $2.50."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Paper2 Q1",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Paper 2 Q1. Answer key: $20 + $17.50 = $37.50. Charge table given in text."
},
{
"n": 32,
"type_id": 2,
"question": "The price of an air-fryer is $135. Mr Henderson bought it at a discount of 15%. How much did he pay for the air-fryer? Ans: $[?]",
"answer0": "114.75", "answer1": null, "answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 176,
"difficulty_id": 2,
"explanation": "He paid 100% - 15% = 85% of the price: \\(\\dfrac{85}{100} \\times 135 = 114.75\\). He paid $114.75.",
"hints": ["A 15% discount means he pays 85% of the price.", "Work out 85% of $135."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Paper2 Q2",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Paper 2 Q2. Answer key: 85/100 x 135 = $114.75."
},
{
"n": 33,
"type_id": 2,
"question": "Jacob had 8 litres of juice. He poured the juice into some cups for his friends. Each cup contained 0.24 ℓ of juice. How much juice did he have left? Ans: [?] mℓ",
"answer0": "80", "answer1": null, "answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 167,
"difficulty_id": 2,
"explanation": "8 ℓ = 8000 ml. 8000 ÷ 240 (0.24 ℓ = 240 ml) = 33 remainder 80, so 33 cups are filled and 80 ml is left.",
"hints": ["Convert litres to millilitres.", "Divide by the cup size; the remainder is the juice left."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Paper2 Q3",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Paper 2 Q3. Answer key: 8000 ÷ 240 = 33 R 80, so 80 ml left."
},
{
"n": 34,
"type_id": 1,
"question": "11 lamp posts are placed equally apart along Hill Road. The distance between the 1st lamp post and the 5th lamp post is \\(23\\dfrac{1}{7}\\) m. What is the distance from the 1st lamp post to the last lamp post? Give your answer as a mixed number in the simplest form.",
"answer0": "\\(57\\dfrac{6}{7}\\) m", "answer1": "\\(57\\dfrac{1}{7}\\) m", "answer2": "\\(63\\dfrac{4}{7}\\) m", "answer3": "\\(46\\dfrac{2}{7}\\) m",
"correct_answer": 0,
"skill_id": 160,
"difficulty_id": 3,
"explanation": "From the 1st to the 5th post there are 4 intervals = \\(23\\dfrac{1}{7}\\) m, so 1 interval = \\(23\\dfrac{1}{7} \\div 4 = 5\\dfrac{11}{14}\\) m. From the 1st to the 11th (last) post there are 10 intervals: \\(5\\dfrac{11}{14} \\times 10 = 57\\dfrac{6}{7}\\) m.",
"hints": ["Count the intervals between posts (one fewer than the number of posts).", "Find one interval, then multiply by 10 intervals."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Paper2 Q4",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Paper 2 Q4. Answer key: 1 interval = 5 11/14 m, 10 intervals = 57 6/7 m. Mixed-number answer so MCQ, not FIB."
},
{
"n": 35,
"type_id": 2,
"question": "WXYZ is a quadrilateral. WZ is parallel to XY. VZX is a straight line. The angle XYZ is 112°, and the angle YZV (between ZY and ZV) is 143°. Find \\(\\angle WZX\\). Ans: [?]°",
"answer0": "31", "answer1": null, "answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 200,
"difficulty_id": 3,
"explanation": "Angle YZX = 180deg - 143deg = 37deg (angles on straight line VZX). Since WZ is parallel to XY, angle WZX = 180deg - angle YZX - ... per key: 180deg - 143deg = 37deg, then 180deg - 37deg - 112deg = 31deg.",
"hints": ["Use angles on a straight line at Z (VZX).", "Use the parallel lines WZ and XY and the triangle angle sum."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Paper2 Q5",
"image_needed": true, "image_page": 22, "image_bbox": [0.28,0.18,0.62,0.42], "image_loc": "quadrilateral WXYZ with WZ parallel to XY, straight line VZX, angles 112deg and 143deg marked",
"image_options": false, "image_file": "q35.png",
"notes": "Paper 2 Q5. Answer key: 180-143=37, 180-37-112 = 31 degrees."
},
{
"n": 36,
"type_id": 2,
"question": "Rani used squares and circles to form figures in a pattern: Figure 1 has 1 square and circles; Figure 2 has 2 squares; Figure 3 has 3 squares, with circles around them following the pattern.
(a) Which figure has 10 shaded circles? Figure [?]
(b) How many circles and squares are there altogether in Figure 123? [?]",
"answer0": "9", "answer1": "371",
"answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 108,
"difficulty_id": 3,
"explanation": "(a) The number of shaded circles increases by 1 each figure pattern; Figure 9 has 10 shaded circles. (b) For Figure 123: number of circles = 123 + 124 = 247 and squares = 123, total = 123 + 124 + 124 = 371.",
"hints": ["Look at how the shaded circles grow with the figure number.", "Count circles and squares separately as functions of the figure number."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Paper2 Q6",
"image_needed": true, "image_page": 23, "image_bbox": [0.18,0.22,0.85,0.36], "image_loc": "Figure 1 to Figure 3 made of squares and surrounding circles (shaded and unshaded)",
"image_options": false, "image_file": "q36.png",
"notes": "Paper 2 Q6 (a)&(b). Answer key: (a) Figure 9, (b) 123+124+124 = 371."
},
{
"n": 37,
"type_id": 2,
"question": "The graph shows the number of visitors at Jelly Museum from Monday to Friday.
(a) There were 3680 more visitors on Tuesday than on Monday. How many visitors were there on Friday? [?]
(b) What was the total number of visitors from Monday to Friday? [?]",
"answer0": "11040", "answer1": "35880",
"answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 147,
"difficulty_id": 3,
"explanation": "(a) Each unit interval = 3680 ÷ 4 = 920 (Tuesday is 4 intervals above Monday). Friday = 12 intervals = 920 x 12 = 11040 visitors. (b) Total = 11040 (Fri) + 7360 + 6440 + 7360 + 3680 = 35880 visitors.",
"hints": ["Find the value of one grid interval from the 3680 difference.", "Read each bar in intervals and add them for the total."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Paper2 Q7",
"image_needed": true, "image_page": 24, "image_bbox": [0.28,0.18,0.85,0.46], "image_loc": "bar graph of number of visitors for Mon-Fri",
"image_options": false, "image_file": "q37.png",
"notes": "Paper 2 Q7 (a)&(b). Answer key: (a) 11040, (b) 35880. Bar heights read from the graph."
},
{
"n": 38,
"type_id": 2,
"question": "Mr Theng earned $4038 in July. He spent \\(\\dfrac{1}{3}\\) of it on rent and \\(\\dfrac{3}{8}\\) of the remainder on food.
(a) How much money did he spend on rent? Ans: $[?]
(b) How much money had he left? Ans: $[?]",
"answer0": "1346", "answer1": "1682.50",
"answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 165,
"difficulty_id": 3,
"explanation": "(a) Rent = 1/3 of $4038 = $1346. (b) Remainder = $4038 - $1346 = $2692. Food = 3/8 of $2692 = $1009.50. Left = $2692 - $1009.50 = $1682.50.",
"hints": ["Rent is 1/3 of the total.", "Find the remainder, take 3/8 for food, and subtract."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Paper2 Q8",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Paper 2 Q8 (a)&(b). Answer key: (a) $1346, (b) $1682.50."
},
{
"n": 39,
"type_id": 2,
"question": "Mr Tan wanted to fill the tank with water to the brim. He used 6 beakers of water to fill \\(\\dfrac{1}{7}\\) of the tank. The tank measures 28 cm by 15 cm by 16 cm.
(a) How many more beakers of water would he need to fill the tank to the brim? [?]
(b) Find the volume of 1 beaker. Ans: [?] cm³",
"answer0": "36", "answer1": "160",
"answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 193,
"difficulty_id": 3,
"explanation": "(a) 6 beakers fill 1/7, so the whole tank needs 7 x 6 = 42 beakers; more needed = 42 - 6 = 36 beakers. (b) Tank volume = 28 x 15 x 16 = 6720 cm³. Volume of 1 beaker = 6720 ÷ 42 = 160 cm³.",
"hints": ["6 beakers = 1/7 of the tank; find the total beakers for the whole tank.", "Tank volume ÷ total beakers = volume of one beaker."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Paper2 Q9",
"image_needed": true, "image_page": 26, "image_bbox": [0.20,0.22,0.62,0.42], "image_loc": "cuboid tank with dimensions 28 cm, 15 cm, 16 cm and a beaker beside it",
"image_options": false, "image_file": "q39.png",
"notes": "Paper 2 Q9 (a)&(b). Answer key: (a) 36 beakers, (b) 160 cm3."
},
{
"n": 40,
"type_id": 2,
"question": "Jalyn spent $96 on grocery and \\(\\dfrac{1}{5}\\) of her remaining money on transport. She was left with \\(\\dfrac{8}{15}\\) of her money. How much money did she have at first? Ans: $[?]",
"answer0": "360", "answer1": null, "answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 165,
"difficulty_id": 3,
"explanation": "After grocery she had some remainder; she spent 1/5 of it on transport leaving 4/5 of the remainder = 8/15 of the total. So the remainder after grocery = (8/15) ÷ (4/5) = 2/3 of the total. Grocery = 1 - 2/3 = 1/3 of total = $96, so total = $96 x 3 = $360.",
"hints": ["After transport she keeps 4/5 of the post-grocery remainder, equal to 8/15 of the original.", "Find what fraction the $96 grocery represents of the original."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Paper2 Q10",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Paper 2 Q10. Worked: grocery = 1/3 of total = $96 -> total = $360. (Printed key shows 5u=96,15u=288 for a sub-step; the final 'How much at first' = $360.)"
},
{
"n": 41,
"type_id": 2,
"question": "A florist sells bouquets of flowers at $15 per bouquet. When a customer buys 3 or more bouquets, a discount of 5% will be given on the total bill.
(a) Kelly bought 6 bouquets. How much was the discount given to her? Ans: $[?]
(b) Mrs Aishah paid $513 after discount for some bouquets of flowers. How many bouquets of flowers did she buy? [?]",
"answer0": "4.50", "answer1": "36",
"answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 176,
"difficulty_id": 3,
"explanation": "(a) 6 bouquets cost 6 x $15 = $90. Discount = 5% of $90 = $4.50. (b) $513 is 95% of the bill, so full bill = 513 ÷ 0.95 = $540. Number of bouquets = $540 ÷ $15 = 36.",
"hints": ["For (a) work out the total then take 5%.", "For (b) the $513 is 95% of the bill; find the bill then divide by $15."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Paper2 Q11",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Paper 2 Q11 (a)&(b). Answer key: (a) $4.50, (b) 36. $15 per bouquet shown in figure but also in text."
},
{
"n": 42,
"type_id": 2,
"question": "The table shows the number of hours Maggie worked in a restaurant: Mon to Thur 6 hours per day, Fri to Sat 9 hours per day, Sun 0 hours.
(a) What is the average number of hours she worked per day? [?]
(b) Maggie is paid $8.50 per hour. What is the total amount of money she earned in 1 week? Ans: $[?]",
"answer0": "6", "answer1": "357",
"answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 203,
"difficulty_id": 2,
"explanation": "Mon-Thur = 6 x 4 = 24 h; Fri-Sat = 9 x 2 = 18 h; Sun = 0. Total = 24 + 18 = 42 h over 7 days. (a) Average = 42 ÷ 7 = 6 h/day. (b) Earnings = 42 x $8.50 = $357.",
"hints": ["Add the total hours for the whole week.", "Average = total hours ÷ 7; earnings = total hours x $8.50."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Paper2 Q12",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Paper 2 Q12 (a)&(b). Answer key: (a) 6 h, (b) $357. Table values given in text."
},
{
"n": 43,
"type_id": 2,
"question": "The mass of some fruits at a store is shown. 2 durians balance with a mass reading of 3.8 kg-type scale, and 2 apples balance with a durian giving a 500+500 g reading. Mdm Spencer bought 3 durians and 4 apples. (a) What is the mass of an apple? Give your answer in kg. Ans: [?] kg
(b) Mdm Spencer could carry a maximum mass of 10 kg of fruits. How many more durians could she buy if she were to carry all the fruits herself? [?]",
"answer0": "0.08", "answer1": "2",
"answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 167,
"difficulty_id": 3,
"explanation": "(a) From the scales: 2 durians = 3.8 kg... using the key, 3.8 - 3.4 = 0.4 kg for the apples balance; 0.4 ÷ 5 = 0.08 kg per apple. (b) 3 durians + 4 apples mass computed; remaining capacity to 10 kg holds 2 more durians.",
"hints": ["Use the two balance readings to set up the durian and apple masses.", "Find the total mass of 3 durians and 4 apples, then how many more durians fit under 10 kg."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Paper2 Q13",
"image_needed": true, "image_page": 30, "image_bbox": [0.18,0.28,0.82,0.48], "image_loc": "two balance scales showing durians and apples with kg/gram dials",
"image_options": false, "image_file": "q43.png",
"notes": "Paper 2 Q13 (a)&(b). Answer key: (a) 0.08 kg, (b) 2 more durians. Masses must be read from the two scale figures."
},
{
"n": 44,
"type_id": 2,
"question": "Every child was given 2 bags of cookies. Each bag contained either 10 chocolate cookies or 15 butter cookies. There were 88 children and they received 2345 cookies altogether. How many butter cookies did the children receive? [?]",
"answer0": "1755", "answer1": null, "answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 3,
"explanation": "Total bags = 88 x 2 = 176. If all were chocolate: 176 x 10 = 1760 cookies; extra = 2345 - 1760 = 585. Each butter bag has 15 - 10 = 5 more cookies, so butter bags = 585 ÷ 5 = 117. Butter cookies = 117 x 15 = 1755.",
"hints": ["Find the total number of bags, then assume all are chocolate.", "Each butter bag adds 5 cookies; find the butter bags then multiply by 15."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Paper2 Q14",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Paper 2 Q14. Answer key: 117 butter bags x 15 = 1755 butter cookies."
},
{
"n": 45,
"type_id": 2,
"question": "The figure shows a piece of paper folded at its two corners. Before folding it is a trapezium WXYZ with WX parallel to ZY, angle W = 64° and angle X = 66°. After folding, an angle of 102° is marked.
(a) Find \\(\\angle XYZ\\). Ans: [?]°
(b) Find \\(\\angle v\\). Ans: [?]°",
"answer0": "114", "answer1": "40",
"answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 200,
"difficulty_id": 3,
"explanation": "(a) WX is parallel to ZY, so \\(\\angle XYZ = 180^\\circ - 66^\\circ = 114^\\circ\\). (b) \\(\\angle WZY = 180^\\circ - 64^\\circ = 116^\\circ\\); the folded angles give v = \\(180^\\circ - 58^\\circ \\times 2 - 12^\\circ \\times 2 = 40^\\circ\\) using the 102deg fold.",
"hints": ["Co-interior angles between the parallel sides add to 180deg.", "Folding reflects angles; track the equal folded angles to find v."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Paper2 Q15",
"image_needed": true, "image_page": 32, "image_bbox": [0.28,0.18,0.78,0.52], "image_loc": "trapezium before folding (angles 64deg, 66deg) and after folding (angle 102deg and v) ",
"image_options": false, "image_file": "q45.png",
"notes": "Paper 2 Q15 (a)&(b). Answer key: (a) 114deg, (b) 40deg."
},
{
"n": 46,
"type_id": 2,
"question": "A rectangular wall is covered by identical smaller rectangular tiles.
(a) The perimeter of the wall is 1144 cm. Find the length of the wall. Ans: [?] cm
(b) Find the area of one rectangular tile. Ans: [?] cm²",
"answer0": "416", "answer1": "1352",
"answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 138,
"difficulty_id": 3,
"explanation": "(a) From the tiling, the wall is made of units; 1 unit = 1144 ÷ 44 = 26 cm. Length = 26 x 16 = 416 cm. (b) Each tile is 26 cm by (26 x 2) = 52 cm; area = 52 x 26 = 1352 cm².",
"hints": ["Express the perimeter in tile-side units and find one unit.", "Use the tile arrangement to get the length and one tile's dimensions."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Paper2 Q16",
"image_needed": true, "image_page": 33, "image_bbox": [0.18,0.13,0.82,0.30], "image_loc": "rectangular wall tiled with identical small rectangles in a basket-weave pattern",
"image_options": false, "image_file": "q46.png",
"notes": "Paper 2 Q16 (a)&(b). Answer key: (a) 416 cm, (b) 1352 cm2. Tile arrangement read from the figure."
},
{
"n": 47,
"type_id": 2,
"question": "The number of bangles to the number of necklaces sold in an accessory shop was 4 : 3. The shop received $2100 altogether from selling the bangles and necklaces. The amount received from selling the bangles was $348 more than the amount received from selling the necklaces. Each bangle cost $1 more than each necklace.
(a) How much money was received from selling the necklaces? Ans: $[?]
(b) How many necklaces were sold in the shop? [?]",
"answer0": "876", "answer1": "42",
"answer2": null, "answer3": null,
"correct_answer": null,
"skill_id": 183,
"difficulty_id": 3,
"explanation": "(a) Bangles + necklaces = $2100 and bangles - necklaces = $348, so necklaces = (2100 - 348) ÷ 2 = $876. (b) Bangles money = $876 + $348 = $1224. Bangles : necklaces = 4 : 3, so bangle price : necklace price relationships give 1224 x 4 ... per key: 1224 ÷ 4 = 306 (price per unit ratio); 306 - 292 = 14; necklaces = 14 x 3 = 42.",
"hints": ["Use the sum and difference of the two amounts to find the necklace total.", "Use the 4:3 ratio and the $1 price difference to find the number of necklaces."],
"source": "Raffles Girls 2022 P5 Semestral Assessment 2 Paper2 Q17",
"image_needed": false, "image_options": false, "image_file": null,
"notes": "Paper 2 Q17 (a)&(b). Answer key: (a) $876, (b) 42 necklaces."
}
]
}