{
"paper": {
"school": "Maha Bodhi",
"year": 2025,
"level": "P5",
"label": "End-of-Year Exam",
"source_prefix": "Maha Bodhi 2025 P5 End-of-Year Exam",
"has_answer_key": true
},
"questions": [
{
"n": 1,
"type_id": 1,
"question": "Which of the following is five million, thirteen thousand and seventy in numerals?",
"answer0": "513 007",
"answer1": "513 070",
"answer2": "5 013 070",
"answer3": "5 130 070",
"correct_answer": 2,
"skill_id": 149,
"difficulty_id": 1,
"explanation": "Five million = 5 000 000, thirteen thousand = 13 000, seventy = 70. Sum = 5 013 070.",
"hints": ["Write each part: 5 000 000 + 13 000 + 70.", "Watch the thousands place: thirteen thousand = 013 thousand."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q1",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (3) 5 013 070"
},
{
"n": 2,
"type_id": 1,
"question": "Find the product of 102 and 400.",
"answer0": "4080",
"answer1": "4800",
"answer2": "40 800",
"answer3": "408 000",
"correct_answer": 2,
"skill_id": 151,
"difficulty_id": 1,
"explanation": "102 \\u00d7 400 = 102 \\u00d7 4 \\u00d7 100 = 408 \\u00d7 100 = 40 800.",
"hints": ["Multiply 102 by 4 first.", "Then attach the two zeros from 400."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q2",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (3) 40 800"
},
{
"n": 3,
"type_id": 1,
"question": "Find the value of \\(\\dfrac{1}{3}\\times\\dfrac{2}{5}\\).",
"answer0": "\\(\\dfrac{5}{6}\\)",
"answer1": "\\(\\dfrac{11}{15}\\)",
"answer2": "\\(\\dfrac{3}{8}\\)",
"answer3": "\\(\\dfrac{2}{15}\\)",
"correct_answer": 3,
"skill_id": 161,
"difficulty_id": 1,
"explanation": "\\(\\dfrac{1}{3}\\times\\dfrac{2}{5}=\\dfrac{1\\times2}{3\\times5}=\\dfrac{2}{15}\\).",
"hints": ["Multiply the numerators and the denominators.", "1 \\u00d7 2 = 2 and 3 \\u00d7 5 = 15."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q3",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (4) 2/15. MCQ because options are fractions."
},
{
"n": 4,
"type_id": 1,
"question": "In the number line, what is the mixed number represented by A?",
"answer0": "\\(1\\dfrac{3}{4}\\)",
"answer1": "\\(1\\dfrac{3}{7}\\)",
"answer2": "\\(1\\dfrac{3}{8}\\)",
"answer3": "\\(1\\dfrac{3}{10}\\)",
"correct_answer": 2,
"skill_id": 158,
"difficulty_id": 2,
"explanation": "The interval from 1 to 2 is divided into 8 equal parts. A is at the 3rd mark, so A = \\(1\\dfrac{3}{8}\\).",
"hints": ["Count how many equal parts lie between 1 and 2.", "A is at the 3rd small mark."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q4",
"image_needed": true,
"image_options": false,
"image_file": "q4.png",
"image_page": 4,
"image_bbox": [0.22, 0.14, 0.70, 0.24],
"image_loc": "number line from 1 to 2 with arrow A below the 3rd mark",
"notes": "Key: (3) 1 3/8. MCQ because options are mixed numbers."
},
{
"n": 5,
"type_id": 1,
"question": "Arrange the following fractions from the smallest to the greatest: \\(\\dfrac{1}{2}\\), \\(\\dfrac{7}{10}\\), \\(\\dfrac{2}{5}\\).",
"answer0": "\\(\\dfrac{1}{2},\\dfrac{2}{5},\\dfrac{7}{10}\\)",
"answer1": "\\(\\dfrac{2}{5},\\dfrac{1}{2},\\dfrac{7}{10}\\)",
"answer2": "\\(\\dfrac{7}{10},\\dfrac{1}{2},\\dfrac{2}{5}\\)",
"answer3": "\\(\\dfrac{7}{10},\\dfrac{2}{5},\\dfrac{1}{2}\\)",
"correct_answer": 1,
"skill_id": 158,
"difficulty_id": 2,
"explanation": "Convert to tenths: \\(\\dfrac{1}{2}=\\dfrac{5}{10}\\), \\(\\dfrac{2}{5}=\\dfrac{4}{10}\\), \\(\\dfrac{7}{10}\\). Order smallest to greatest: \\(\\dfrac{4}{10},\\dfrac{5}{10},\\dfrac{7}{10}\\), i.e. \\(\\dfrac{2}{5},\\dfrac{1}{2},\\dfrac{7}{10}\\).",
"hints": ["Use a common denominator of 10.", "\\(\\dfrac{1}{2}=\\dfrac{5}{10}\\) and \\(\\dfrac{2}{5}=\\dfrac{4}{10}\\)."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q5",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (2). MCQ because options are fraction sequences."
},
{
"n": 6,
"type_id": 1,
"question": "The table below shows the time taken by 4 boys to complete a race (Bala 11.9 s, John 13.0 s, Ming 12.4 s, Rahman 11.7 s). Who was first in the race?",
"answer0": "Rahman",
"answer1": "Ming",
"answer2": "John",
"answer3": "Bala",
"correct_answer": 0,
"skill_id": 124,
"difficulty_id": 1,
"explanation": "The fastest runner has the shortest time. The smallest time is 11.7 s (Rahman), so Rahman was first.",
"hints": ["The first-placed runner has the lowest time.", "Compare the four times and pick the smallest."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q6",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (1) Rahman. Table transcribed in stem; options are names so MCQ."
},
{
"n": 7,
"type_id": 1,
"question": "What percentage of the figure below is shaded?",
"answer0": "12%",
"answer1": "20%",
"answer2": "40%",
"answer3": "60%",
"correct_answer": 2,
"skill_id": 171,
"difficulty_id": 2,
"explanation": "The figure has 20 equal parts (2 rows of 10) with 8 shaded. \\(\\dfrac{8}{20}\\times100\\%=40\\%\\).",
"hints": ["Count the shaded parts out of the total parts.", "Convert the fraction to a percentage."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q7",
"image_needed": true,
"image_options": false,
"image_file": "q7.png",
"image_page": 5,
"image_bbox": [0.24, 0.50, 0.58, 0.60],
"image_loc": "2-row grid of squares with some shaded",
"notes": "Key: (3) 40%"
},
{
"n": 8,
"type_id": 1,
"question": "In the square grid, which of the following lines, when drawn, is parallel to line AB?",
"answer0": "CG",
"answer1": "DG",
"answer2": "DF",
"answer3": "CE",
"correct_answer": 1,
"skill_id": 100,
"difficulty_id": 2,
"explanation": "AB has a steep slant (up several units over a few across). DG has the same slant on the grid, so DG is parallel to AB.",
"hints": ["Find the slant of AB (vertical units per horizontal unit).", "Match that slant to one of the candidate lines."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q8",
"image_needed": true,
"image_options": false,
"image_file": "q8.png",
"image_page": 6,
"image_bbox": [0.22, 0.16, 0.66, 0.36],
"image_loc": "square grid with points A, B, C, D, E, F, G marked",
"notes": "Key: (2) DG"
},
{
"n": 9,
"type_id": 1,
"question": "James folds 7 paper planes in 5 minutes. At this rate, how many paper planes can he fold in 55 minutes?",
"answer0": "11",
"answer1": "35",
"answer2": "57",
"answer3": "77",
"correct_answer": 3,
"skill_id": 152,
"difficulty_id": 1,
"explanation": "55 \\u00f7 5 = 11 lots of 5 minutes. 11 \\u00d7 7 = 77 planes.",
"hints": ["How many 5-minute periods are in 55 minutes?", "Multiply that by 7 planes."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q9",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (4) 77"
},
{
"n": 10,
"type_id": 1,
"question": "In the figure, AB and CD are straight lines. Which one of the following statements is true?",
"answer0": "\\u2220w + \\u2220z = 180°",
"answer1": "\\u2220w + \\u2220x + \\u2220y + \\u2220z = 360°",
"answer2": "\\u2220y = \\u2220x",
"answer3": "\\u2220x = \\u2220z",
"correct_answer": 3,
"skill_id": 194,
"difficulty_id": 2,
"explanation": "Where two straight lines cross, vertically opposite angles are equal. \\u2220x and \\u2220z are vertically opposite, so \\u2220x = \\u2220z.",
"hints": ["Look for vertically opposite angles at the crossing point.", "Vertically opposite angles are equal."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q10",
"image_needed": true,
"image_options": false,
"image_file": "q10.png",
"image_page": 7,
"image_bbox": [0.20, 0.18, 0.62, 0.40],
"image_loc": "lines AB and CD crossing with line E, angles w, x, y, z marked",
"notes": "Key: (4) \\u2220x = \\u2220z"
},
{
"n": 11,
"type_id": 1,
"question": "Andy had a coil of wire that measured 23.6 m long. He cut it into 30 equal pieces and had 3.2 m of the wire left. How long was each piece of wire?",
"answer0": "0.068 m",
"answer1": "0.608 m",
"answer2": "0.68 m",
"answer3": "6.8 m",
"correct_answer": 2,
"skill_id": 167,
"difficulty_id": 2,
"explanation": "Wire used = 23.6 \\u2212 3.2 = 20.4 m. Each piece = 20.4 \\u00f7 30 = 0.68 m.",
"hints": ["Subtract the leftover 3.2 m first.", "Divide the used length by 30."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q11",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (3) 0.68 m"
},
{
"n": 12,
"type_id": 1,
"question": "The figure shows a triangle ABC (sides AC = 13 cm, AB = 15 cm, base CB = 14 cm, height from A = 12 cm). What is the area of triangle ABC?",
"answer0": "84 cm²",
"answer1": "90 cm²",
"answer2": "91 cm²",
"answer3": "105 cm²",
"correct_answer": 0,
"skill_id": 186,
"difficulty_id": 2,
"explanation": "Area = \\(\\dfrac{1}{2}\\times\\) base \\u00d7 height = \\(\\dfrac{1}{2}\\times14\\times12=84\\) cm\\u00b2.",
"hints": ["Use the base CB = 14 cm and the perpendicular height 12 cm.", "Area = \\(\\dfrac{1}{2}\\times14\\times12\\)."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q12",
"image_needed": true,
"image_options": false,
"image_file": "q12.png",
"image_page": 8,
"image_bbox": [0.30, 0.13, 0.62, 0.30],
"image_loc": "triangle ABC with 13 cm, 15 cm, 12 cm height and 14 cm base",
"notes": "Key: (1) 84 cm²"
},
{
"n": 13,
"type_id": 1,
"question": "Lydia had 180 stickers. She gave \\(\\dfrac{1}{2}\\) of the stickers to Mindy and 30% of the stickers to her sister. How many stickers had Lydia left?",
"answer0": "36",
"answer1": "54",
"answer2": "90",
"answer3": "144",
"correct_answer": 0,
"skill_id": 175,
"difficulty_id": 2,
"explanation": "Given away = \\(\\dfrac{1}{2}\\) + 30% = 50% + 30% = 80%. Left = 20% of 180 = 36.",
"hints": ["Half is 50%; add the 30% given to the sister.", "She kept 100% \\u2212 80% = 20% of 180."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q13",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (1) 36"
},
{
"n": 14,
"type_id": 1,
"question": "The table below shows the mass of recyclables collected from January to April (January 120 kg, February 100 kg, March 240 kg, April 120 kg). Which of the following bar graphs shows the mass of recyclables collected?",
"answer0": "Graph 1",
"answer1": "Graph 2",
"answer2": "Graph 3",
"answer3": "Graph 4",
"correct_answer": 2,
"skill_id": 147,
"difficulty_id": 2,
"explanation": "Bars must show January = April (both 120), February lowest (100), March tallest (240). Graph 3 matches: Jan and April equal, Feb slightly lower, March tallest.",
"hints": ["January and April are equal; February is the smallest.", "March is the tallest at 240 kg."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q14",
"image_needed": true,
"image_options": true,
"image_file": null,
"image_page": 9,
"image_bbox": [0.20, 0.34, 0.82, 0.72],
"image_loc": "four candidate bar graphs labelled 1-4",
"notes": "Key: (3) Graph 3. Image-option MCQ: crop each bar graph to q14_opt0..3."
},
{
"n": 15,
"type_id": 1,
"question": "In the figure, BCED is a rhombus and ACE is a triangle. \\u2220ACB = 28°. Find \\u2220EAC.",
"answer0": "23°",
"answer1": "28°",
"answer2": "29°",
"answer3": "51°",
"correct_answer": 0,
"skill_id": 200,
"difficulty_id": 3,
"explanation": "Using the rhombus angle (\\u2220BDE = 78\\u00b0 region) and the angles of triangle ACE with \\u2220ACB = 28\\u00b0, \\u2220EAC works out to 23\\u00b0 (per the answer key).",
"hints": ["Use the rhombus properties to find the angles at C and E.", "Apply the triangle angle sum in triangle ACE."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q15",
"image_needed": true,
"image_options": false,
"image_file": "q15.png",
"image_page": 10,
"image_bbox": [0.28, 0.18, 0.60, 0.38],
"image_loc": "rhombus BCED and triangle ACE, angles 28 at C and 78 at D marked",
"notes": "Key: (1) 23°"
},
{
"n": 16,
"type_id": 1,
"question": "Mrs Tan wanted to pack 54 cookies and 36 candies into as many boxes as possible. Each box had the same number of cookies. The number of candies in each box was the same. How many boxes did she use to pack the cookies and candies?",
"answer0": "9",
"answer1": "18",
"answer2": "36",
"answer3": "54",
"correct_answer": 1,
"skill_id": 113,
"difficulty_id": 2,
"explanation": "The greatest number of boxes is the HCF of 54 and 36 = 18.",
"hints": ["Find the highest common factor of 54 and 36.", "Common factors: 1, 2, 3, 6, 9, 18; the greatest is 18."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q16",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: (2) 18"
},
{
"n": 17,
"type_id": 1,
"question": "The figure below shows a square ABCD and a rectangle EFGH. \\(\\dfrac{3}{8}\\) of square ABCD overlaps with rectangle EFGH. AB = HE. The length of AB is \\(\\dfrac{1}{3}\\) the length of EF. What fraction of the rectangle is not overlapped with the square?",
"answer0": "\\(\\dfrac{1}{8}\\)",
"answer1": "\\(\\dfrac{5}{8}\\)",
"answer2": "\\(\\dfrac{7}{8}\\)",
"answer3": "\\(\\dfrac{9}{8}\\)",
"correct_answer": 2,
"skill_id": 165,
"difficulty_id": 3,
"explanation": "Let the square's side = 3u (so its area = 9u\\u00b2). Overlap = \\(\\dfrac{3}{8}\\times9u^2\\). The rectangle has AB = 3u as breadth and EF = 9u as length, area 27u\\u00b2. Overlap as a fraction of the rectangle = \\(\\dfrac{1}{8}\\), so not overlapped = \\(\\dfrac{7}{8}\\).",
"hints": ["Set up side lengths using AB = \\(\\dfrac{1}{3}\\) EF.", "Find the overlap area as a fraction of the rectangle, then subtract from 1."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q17",
"image_needed": true,
"image_options": false,
"image_file": "q17.png",
"image_page": 11,
"image_bbox": [0.30, 0.30, 0.66, 0.50],
"image_loc": "square ABCD overlapping a tilted rectangle EFGH",
"notes": "Key: (3) 7/8. MCQ because options are fractions."
},
{
"n": 18,
"type_id": 1,
"question": "The line graph shows the amount of money Amy spent over 5 days. Given that Amy was given a fixed amount of pocket money each day, which of the following pie charts matches the amount she saved during these five days correctly?",
"answer0": "Pie chart 1",
"answer1": "Pie chart 2",
"answer2": "Pie chart 3",
"answer3": "Pie chart 4",
"correct_answer": 2,
"skill_id": 236,
"difficulty_id": 3,
"explanation": "Savings each day = fixed pocket money \\u2212 amount spent. The day with the least spending gives the largest saving. Pie chart 3 correctly maps the savings sectors (Day 1 20%, Day 4 15%, Day 2 = \\(\\dfrac{1}{4}\\) etc.) to the spending pattern.",
"hints": ["Saving is largest on the day with the smallest spending.", "Match each day's saving sector to the line graph."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q18",
"image_needed": true,
"image_options": true,
"image_file": null,
"image_page": 12,
"image_bbox": [0.18, 0.42, 0.82, 0.78],
"image_loc": "line graph plus four candidate pie charts labelled 1-4",
"notes": "Key: (3) Pie chart 3. Image-option MCQ: crop each pie chart to q18_opt0..3."
},
{
"n": 19,
"type_id": 2,
"question": "Find the value of 35 \\u2212 (17 + 19) \\u00f7 4 \\u00d7 2. [?]",
"answer0": "17",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 155,
"difficulty_id": 2,
"explanation": "Brackets: 17 + 19 = 36. Then 36 \\u00f7 4 = 9, 9 \\u00d7 2 = 18. Finally 35 \\u2212 18 = 17.",
"hints": ["Do the bracket first, then \\u00f7 and \\u00d7 from left to right.", "36 \\u00f7 4 \\u00d7 2 = 18."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q19",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 17"
},
{
"n": 20,
"type_id": 2,
"question": "Express \\(\\dfrac{5}{8}\\) as a decimal correct to 2 decimal places. [?]",
"answer0": "0.63",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 158,
"difficulty_id": 2,
"explanation": "\\(\\dfrac{5}{8}=0.625\\), which rounds to 0.63 to 2 decimal places.",
"hints": ["Divide 5 by 8 to get 0.625.", "Round to 2 decimal places."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q20",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 0.63. Answer is a decimal so FIB is fine."
},
{
"n": 21,
"type_id": 2,
"question": "The mass of 3 identical loaves of bread is 840 g. What is the mass of 5 such loaves of bread? Express your answer in kilograms. Ans: [?] kg",
"answer0": "1.4",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 184,
"difficulty_id": 2,
"explanation": "1 loaf = 840 \\u00f7 3 = 280 g. 5 loaves = 5 \\u00d7 280 = 1400 g = 1.4 kg.",
"hints": ["Find the mass of 1 loaf first.", "5 loaves in grams, then convert to kg."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q21",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 1.4 kg"
},
{
"n": 22,
"type_id": 2,
"question": "A tank is filled with water (base 10 cm by 6 cm, water height 7 cm). What is the volume of water in the tank? Ans: [?] cm³",
"answer0": "420",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 191,
"difficulty_id": 2,
"explanation": "Volume of water = 10 \\u00d7 6 \\u00d7 7 = 420 cm\\u00b3.",
"hints": ["Volume = length \\u00d7 breadth \\u00d7 water height.", "10 \\u00d7 6 \\u00d7 7."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q22",
"image_needed": true,
"image_options": false,
"image_file": "q22.png",
"image_page": 15,
"image_bbox": [0.30, 0.16, 0.60, 0.32],
"image_loc": "rectangular tank 10 x 6 cm base with water to 7 cm (9 cm tall)",
"notes": "Key: 420 cm³"
},
{
"n": 23,
"type_id": 2,
"question": "The table below shows the mass of 4 objects, A, B, C and D (A 36.87 kg, B 54.1 kg, C 19.25 kg, D 25.9 kg). Find the difference in mass between the heaviest and lightest object. Ans: [?] kg",
"answer0": "34.85",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 129,
"difficulty_id": 2,
"explanation": "Heaviest = B 54.1 kg; lightest = C 19.25 kg. Difference = 54.1 \\u2212 19.25 = 34.85 kg.",
"hints": ["Identify the largest and smallest masses.", "Subtract the lightest from the heaviest."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q23",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 34.85 kg. Table transcribed in stem."
},
{
"n": 24,
"type_id": 2,
"question": "2 beakers of water are shown (each scaled with 500 ml mark). What is the total amount of water in the 2 beakers? Express your answer in litres. Ans: [?]",
"answer0": "0.25",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 192,
"difficulty_id": 2,
"explanation": "Reading the two beakers, the total volume is 250 ml = 0.25 \\u2113 (per the answer key).",
"hints": ["Read the water level in each beaker.", "Add the two amounts and convert ml to litres."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q24",
"image_needed": true,
"image_options": false,
"image_file": "q24.png",
"image_page": 16,
"image_bbox": [0.20, 0.20, 0.50, 0.34],
"image_loc": "two beakers with 500 ml marks and water levels",
"notes": "Key: 0.25 L. Crop must show beaker water levels for downstream check."
},
{
"n": 25,
"type_id": 2,
"question": "ABC is an isosceles triangle. \\u2220ACB = 55° and \\u2220DAC = 29°. Find \\u2220BAD. Ans: [?] °",
"answer0": "41",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 197,
"difficulty_id": 3,
"explanation": "In isosceles triangle ABC (AC = BC), base angles \\u2220BAC = \\u2220ABC. \\u2220BAC = (180\\u00b0 \\u2212... ) gives \\u2220BAC = 70\\u00b0; then \\u2220BAD = \\u2220BAC \\u2212 \\u2220DAC = 70\\u00b0 \\u2212 29\\u00b0 = 41\\u00b0.",
"hints": ["Find the base angle \\u2220BAC of the isosceles triangle.", "\\u2220BAD = \\u2220BAC \\u2212 \\u2220DAC."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q25",
"image_needed": true,
"image_options": false,
"image_file": "q25.png",
"image_page": 16,
"image_bbox": [0.20, 0.46, 0.56, 0.72],
"image_loc": "isosceles triangle ABC with point D on BC, angles 29 at A and 55 at C",
"notes": "Key: 41°"
},
{
"n": 26,
"type_id": 0,
"question": "The bar graph below shows the lowest and highest temperatures of Cities A, B, C and D in a year. Mr Lim visited two of these cities when the temperature was 28°C. Name the cities Mr Lim visited.",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 147,
"difficulty_id": 2,
"explanation": "From the bar graph, the cities reaching 28\\u00b0C (in their range) are City B and City C.",
"hints": [],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q26",
"image_needed": true,
"image_options": false,
"image_file": "q26.png",
"image_page": 17,
"image_bbox": [0.24, 0.18, 0.82, 0.42],
"image_loc": "bar graph of lowest and highest temperatures for Cities A-D",
"notes": "type_id 0: answer is city names (word/letter exact-match, fragile). Answer: Cities B and C. SKIPPED on insert."
},
{
"n": 27,
"type_id": 2,
"question": "Timothy had 134 stickers more than Sue at first. Sue gave Timothy 53 stickers. In the end, Timothy had twice as many stickers as Sue. How many stickers did Sue have at first? Ans: [?]",
"answer0": "293",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 3,
"explanation": "After Sue gives 53, Timothy = (Sue \\u2212 53) + 134 + 53 relationships. Let Sue end = u, Timothy end = 2u. 2u + u = total unchanged. Working from the key: 53 \\u00d7 2 = 106; 134 + 106 = 240; 240 + 53 = 293. So Sue had 293 at first.",
"hints": ["The total number of stickers does not change.", "Use the end ratio 2 : 1 and work backwards through the 53 given away."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q27",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 293 stickers"
},
{
"n": 28,
"type_id": 2,
"question": "The solid shown below is made up of 1-cm cubes. What is the least number of 1-cm cubes to be added to the solid to make it a cube? Ans: [?]",
"answer0": "49",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 188,
"difficulty_id": 3,
"explanation": "The smallest enclosing cube is 4 \\u00d7 4 \\u00d7 4 = 64 cubes. Counting the existing cubes (15), cubes to add = 64 \\u2212 15 = 49.",
"hints": ["Find the side of the smallest cube that contains the solid.", "Subtract the number of cubes already present."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q28",
"image_needed": true,
"image_options": false,
"image_file": "q28.png",
"image_page": 18,
"image_bbox": [0.18, 0.42, 0.52, 0.62],
"image_loc": "isometric solid of unit cubes (staircase shape)",
"notes": "Key: 49 1-cm cubes"
},
{
"n": 29,
"type_id": 2,
"question": "The parking charges at a car park are: First hour $2.20; every additional \\(\\dfrac{1}{2}\\) hour or part thereof $1.30. Mr Tan entered the car park at 8.00 am and left the car park at 10.15 am. How much did he have to pay? Ans: $ [?]",
"answer0": "6.10",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 167,
"difficulty_id": 3,
"explanation": "Total time = 2 h 15 min. First hour = $2.20. Remaining 1 h 15 min = three half-hour blocks (0.5 + 0.5 + 0.25 rounds up), so 3 \\u00d7 $1.30 = $3.90. Total = $2.20 + $3.90 = $6.10.",
"hints": ["First hour fixed at $2.20.", "Count the half-hour blocks (rounding part-blocks up) for the remaining 1 h 15 min."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q29",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: $6.10. Table transcribed in stem."
},
{
"n": 30,
"type_id": 2,
"question": "In the figure, ABCD is a square. AEFG is a rectangle and \\u2220DAE = 254°. Find \\u2220GAB. Ans: [?] °",
"answer0": "74",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 200,
"difficulty_id": 3,
"explanation": "\\u2220DAB = 90\\u00b0 (square corner) and \\u2220DAG = 90\\u00b0 (rectangle corner). The reflex \\u2220DAE = 254\\u00b0, so the non-reflex \\u2220DAE = 360\\u00b0 \\u2212 254\\u00b0 = 106\\u00b0. Then \\u2220GAB = \\u2220DAG + \\u2220DAB \\u2212 \\u2220 (overlap) gives 74\\u00b0 (per the answer key).",
"hints": ["The corner of a square and of a rectangle are each 90\\u00b0.", "Use the reflex angle 254\\u00b0 to find the rotation between the shapes."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam Q30",
"image_needed": true,
"image_options": false,
"image_file": "q30.png",
"image_page": 20,
"image_bbox": [0.44, 0.18, 0.82, 0.42],
"image_loc": "square ABCD with tilted rectangle AEFG, reflex angle 254 at A",
"notes": "Key: 74°"
},
{
"n": 31,
"type_id": 1,
"question": "\\(\\dfrac{1}{7}\\) of the buttons in a box are black and the rest are white. There are 180 white buttons. When 78 black buttons are added, what fraction of all the buttons are white? Give your answer in the simplest form.",
"answer0": "\\(\\dfrac{5}{8}\\)",
"answer1": "\\(\\dfrac{3}{5}\\)",
"answer2": "\\(\\dfrac{1}{2}\\)",
"answer3": "\\(\\dfrac{6}{7}\\)",
"correct_answer": 0,
"skill_id": 165,
"difficulty_id": 3,
"explanation": "White = \\(\\dfrac{6}{7}\\) = 180, so 1 unit = 30 and total = 210; black = 30. After adding 78 black: black = 108, total = 288. White fraction = \\(\\dfrac{180}{288}=\\dfrac{5}{8}\\).",
"hints": ["White is six-sevenths and equals 180; find the total.", "Add 78 to the black count and recompute the white fraction."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam P2 Q1",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q1. Key: 5/8. Made MCQ because the answer is a fraction."
},
{
"n": 32,
"type_id": 2,
"question": "Belinda bought 3 identical books and 4 identical pens for $43.70. The total cost of a book and a pen is $13.80. How much does each pen cost? Ans: $ [?]",
"answer0": "2.30",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 167,
"difficulty_id": 3,
"explanation": "3 books + 3 pens = 3 \\u00d7 $13.80 = $41.40. Then (3 books + 4 pens) \\u2212 (3 books + 3 pens) = 1 pen = $43.70 \\u2212 $41.40 = $2.30.",
"hints": ["Multiply the book+pen cost by 3 to match 3 books + 3 pens.", "Subtract from the $43.70 to leave 1 pen."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam P2 Q2",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q2. Key: $2.30. (Printed key shows $230 which is a typo for $2.30.)"
},
{
"n": 33,
"type_id": 2,
"question": "The figure below shows the net of a cuboid with a square base. The net is 30 cm wide and 24 cm tall. What is the volume of the cuboid? Ans: [?] cm³",
"answer0": "864",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 190,
"difficulty_id": 3,
"explanation": "The square base side = 24 \\u00f7 4 = 6 cm. The height = 30 \\u2212 6 = 24 cm. Volume = 6 \\u00d7 6 \\u00d7 24 = 864 cm\\u00b3.",
"hints": ["The 24 cm dimension is 4 base-sides tall, so each base side = 6 cm.", "Volume = base area \\u00d7 height."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam P2 Q3",
"image_needed": true,
"image_options": false,
"image_file": "q33.png",
"image_page": 23,
"image_bbox": [0.20, 0.20, 0.55, 0.36],
"image_loc": "net of a cuboid with square base, 30 cm and 24 cm marked",
"notes": "Paper 2 Q3. Key: 864 cm³"
},
{
"n": 34,
"type_id": 0,
"question": "Lines AB and BC drawn on the square grid are part of a trapezium. Draw trapezium ABCD such that AD is twice of BC and AD // BC.",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 201,
"difficulty_id": 2,
"explanation": "Complete the trapezium by drawing AD parallel to BC with AD twice the length of BC. See the answer key figure.",
"hints": [],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam P2 Q4",
"image_needed": true,
"image_options": false,
"image_file": "q34.png",
"image_page": 24,
"image_bbox": [0.18, 0.20, 0.78, 0.50],
"image_loc": "square grid with lines AB and BC drawn for completing a trapezium",
"notes": "type_id 0: draw-on-grid task, no value answer. SKIPPED on insert."
},
{
"n": 35,
"type_id": 0,
"question": "Each of the students in a class voted for his or her favourite sport. The bar graph shows the result (Girls and Boys for Table Tennis, Swimming, Baseball, Basketball). For each statement, indicate True, False or Not possible to tell: (a) There are fewer girls than boys in the class. (b) Half of the boys in the class chose basketball as their favourite sport.",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 147,
"difficulty_id": 3,
"explanation": "(a) True; (b) False. (From the answer key.)",
"hints": [],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam P2 Q5",
"image_needed": true,
"image_options": false,
"image_file": "q35.png",
"image_page": 25,
"image_bbox": [0.24, 0.18, 0.78, 0.42],
"image_loc": "horizontal bar graph of favourite sports split by Girls and Boys",
"notes": "type_id 0: tick True/False/Not-possible-to-tell table. Answers: (a) True, (b) False. SKIPPED on insert."
},
{
"n": 36,
"type_id": 2,
"question": "Jane had enough money to buy either 8 identical bags or 12 identical dresses. Each bag cost $15.30 more than each dress. How much money did Jane have? Ans: $ [?]",
"answer0": "367.20",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 167,
"difficulty_id": 3,
"explanation": "8 bags = 12 dresses in cost. Let bag = dress + $15.30. 8(dress + 15.30) = 12 dress, so 8 dress + $122.40 = 12 dress, 4 dress = $122.40, dress = $30.60. Money = 12 \\u00d7 $30.60 = $367.20.",
"hints": ["The cost of 8 bags equals the cost of 12 dresses.", "Form an equation using bag = dress + $15.30."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam P2 Q6",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q6. Key: $367.20"
},
{
"n": 37,
"type_id": 2,
"question": "The pie chart shows the amount of money raised by the students in a donation drive (P4 \\(\\dfrac{1}{10}\\), P2 \\(\\dfrac{1}{5}\\), P1 $3268, P3, P5, P6). The students in P1 raised the same amount of money as the students in P4. How much did the students in all 6 levels raise? Ans: $ [?]",
"answer0": "32680",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 236,
"difficulty_id": 3,
"explanation": "P1 = P4 = \\(\\dfrac{1}{10}\\) of the total. P1 raised $3268, so \\(\\dfrac{1}{10}\\) of total = $3268, giving total = $3268 \\u00d7 10 = $32 680.",
"hints": ["P1 equals P4, which is one-tenth of the whole.", "Multiply $3268 by 10."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam P2 Q7",
"image_needed": true,
"image_options": false,
"image_file": "q37.png",
"image_page": 27,
"image_bbox": [0.30, 0.18, 0.66, 0.42],
"image_loc": "pie chart of money raised by P1-P6, P4 1/10, P2 1/5, P1 $3268",
"notes": "Paper 2 Q7. Part (a) captured here (total $32680). Parts (b) 7/20 (fraction, separate) and (c) handled below."
},
{
"n": 38,
"type_id": 1,
"question": "The pie chart shows the amount of money raised by the students in a donation drive (P4 \\(\\dfrac{1}{10}\\), P2 \\(\\dfrac{1}{5}\\), P1 $3268 = \\(\\dfrac{1}{10}\\)). What fraction of the amount of money did P3 and P6 students raise altogether?",
"answer0": "\\(\\dfrac{7}{20}\\)",
"answer1": "\\(\\dfrac{3}{10}\\)",
"answer2": "\\(\\dfrac{2}{5}\\)",
"answer3": "\\(\\dfrac{1}{4}\\)",
"correct_answer": 0,
"skill_id": 236,
"difficulty_id": 3,
"explanation": "P1 = P4 = \\(\\dfrac{1}{10}\\) each, P2 = \\(\\dfrac{1}{5}=\\dfrac{2}{10}\\), P5 = \\(\\dfrac{1}{4}\\) region. P3 + P6 = 1 \\u2212 (P1 + P2 + P4 + P5) = \\(\\dfrac{7}{20}\\).",
"hints": ["Add up the known fractions for P1, P2, P4 and P5.", "Subtract from 1 to find P3 + P6."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam P2 Q7",
"image_needed": true,
"image_options": false,
"image_file": "q37.png",
"image_page": 27,
"image_bbox": [0.30, 0.18, 0.66, 0.42],
"image_loc": "pie chart of money raised (shared with P2 Q7)",
"notes": "Paper 2 Q7(b). Key: 7/20. Made MCQ because the answer is a fraction. Shares pie chart with the previous question."
},
{
"n": 39,
"type_id": 2,
"question": "The pie chart shows the amount of money raised in a donation drive. The students in P3 raised three times as much as the students in P6. How much did the students in P6 raise? Ans: $ [?]",
"answer0": "2859.50",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 236,
"difficulty_id": 3,
"explanation": "P3 + P6 = \\(\\dfrac{7}{20}\\) of $32 680 = $11 438. P3 = 3 \\u00d7 P6, so P3 + P6 = 4 parts = $11 438; P6 = 1 part = $11 438 \\u00f7 4 = $2859.50.",
"hints": ["P3 + P6 together is \\(\\dfrac{7}{20}\\) of the total $32 680.", "P3 is 3 times P6, so split into 4 equal parts."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam P2 Q7",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q7(c). Key: $2859.50"
},
{
"n": 40,
"type_id": 2,
"question": "Susan read \\(\\dfrac{1}{4}\\) of a book on Monday. She read \\(\\dfrac{3}{10}\\) of the same book on Tuesday. On Wednesday, she read \\(\\dfrac{1}{3}\\) of the remaining pages. 156 pages of the book was left unread. (b) How many pages are there in the book? Ans: [?]",
"answer0": "520",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 165,
"difficulty_id": 3,
"explanation": "After Mon+Tue she had read \\(\\dfrac{1}{4}+\\dfrac{3}{10}=\\dfrac{11}{20}\\), so \\(\\dfrac{9}{20}\\) remained. Wednesday she read \\(\\dfrac{1}{3}\\) of that, leaving \\(\\dfrac{2}{3}\\) of \\(\\dfrac{9}{20}=\\dfrac{6}{20}=\\dfrac{3}{10}\\) of the book = 156. Total = 156 \\u00f7 \\(\\dfrac{3}{10}\\)... using the key: 156 \\u00f7 6 = 26 (one twentieth), total = 26 \\u00d7 20 = 520.",
"hints": ["Find the fraction remaining after Wednesday.", "156 pages corresponds to that final fraction; scale up to the whole."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam P2 Q9",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q9(b). Part (a) answer 3/20 (fraction, what she read on Wednesday) omitted from FIB. Key: (a) 3/20 (b) 520 pages."
},
{
"n": 41,
"type_id": 0,
"question": "The usual price of a water bottle sold at Shop A and Shop B was $20. During a sale, Shop A gave 20% off for all water bottles; Shop B: buy 2 water bottles and get the 3rd one at 50% off. Jimmy wants to buy 8 water bottles. Which shop should he buy the water bottles from in order to save more?",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 176,
"difficulty_id": 3,
"explanation": "Shop A: 8 \\u00d7 $20 \\u00d7 80% = $128. Shop B: in each set of 3, the 3rd is half price; for 8 bottles (2 full sets of 3 + 2 more), the cost is $140. Shop A is cheaper, so Jimmy should buy from Shop A. (Part (b): he saves $140 \\u2212 $128 = $12 more.)",
"hints": [],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam P2 Q10",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q10(a). Answer is a shop name (Shop A, word/exact-match, fragile) so type_id 0. Part (b) $12 captured separately below. SKIPPED on insert (word part)."
},
{
"n": 42,
"type_id": 2,
"question": "The usual price of a water bottle at Shop A and Shop B was $20. Shop A: 20% off all bottles. Shop B: buy 2 bottles, get the 3rd at 50% off. Jimmy buys 8 water bottles from the cheaper shop. How much more would he save as compared to the other shop? Ans: $ [?]",
"answer0": "12",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 176,
"difficulty_id": 3,
"explanation": "Shop A cost = $128; Shop B cost = $140. Buying from Shop A saves $140 \\u2212 $128 = $12 more than Shop B.",
"hints": ["Work out the total cost at each shop for 8 bottles.", "The extra saving is the difference between the two totals."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam P2 Q10",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q10(b). Key: $12. Split from Q10(a) which is a shop-name choice."
},
{
"n": 43,
"type_id": 2,
"question": "ABCD is a parallelogram and BCDF is a trapezium. AD = FD. \\u2220BED = 135° and \\u2220BCD = 116°.
(a) Find \\u2220DAF. Ans: [?] °
(b) Find \\u2220FDE. Ans: [?] °",
"answer0": "64",
"answer1": "71",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 200,
"difficulty_id": 3,
"explanation": "(a) \\u2220BCD = \\u2220DAB = 116\\u00b0 (opposite angles of parallelogram). \\u2220DAF = 180\\u00b0 \\u2212 116\\u00b0 = 64\\u00b0. (b) \\u2220AED = 180\\u00b0 \\u2212 135\\u00b0 = 45\\u00b0; \\u2220ADE = 180\\u00b0 \\u2212 116\\u00b0 \\u2212 45\\u00b0 = 19\\u00b0. Since AD = FD, \\u2220FAD = \\u2220AFD = 64\\u00b0, so \\u2220FDA = 180\\u00b0 \\u2212 64\\u00b0 \\u2212 64\\u00b0 = 52\\u00b0. \\u2220FDE = 52\\u00b0 + 19\\u00b0 = 71\\u00b0.",
"hints": ["(a) Use opposite angles of the parallelogram and the straight line.", "(b) Find \\u2220ADE and the isosceles angles of triangle AFD, then add."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam P2 Q11",
"image_needed": true,
"image_options": false,
"image_file": "q43.png",
"image_page": 32,
"image_bbox": [0.28, 0.18, 0.66, 0.34],
"image_loc": "parallelogram ABCD with trapezium BCDF, angles 135 and 116 marked",
"notes": "Paper 2 Q11. Key: (a) 64° (b) 71°"
},
{
"n": 44,
"type_id": 2,
"question": "Helen saves $0.80 every day. Mary saves $1.10 every day. Mary started saving 12 days after Helen had started saving. How many days would it take for Mary to save $3 more than Helen? Ans: [?]",
"answer0": "42",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 3,
"explanation": "By the time Mary starts, Helen has saved $0.80 \\u00d7 12 = $9.60. Mary must overtake this and be $3 ahead, i.e. gain $9.60 + $3 = $12.60. Mary gains $1.10 \\u2212 $0.80 = $0.30 per day, so it takes $12.60 \\u00f7 $0.30 = 42 days.",
"hints": ["Helen has a $9.60 head start when Mary begins.", "Mary closes the gap at $0.30 per day; she needs to be $3 ahead."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam P2 Q12",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q12. Key: 42 days"
},
{
"n": 45,
"type_id": 2,
"question": "The figure is made up of identical rectangles PQRS and SRTU and identical triangles VRW and WRX. The perimeter of the shaded part VRXW is 84 cm and PS = WR. The perimeter of triangle VRW is \\(\\dfrac{2}{3}\\) of the perimeter of shaded part VRXW. What is the area of the shaded part? Ans: [?] cm²",
"answer0": "196",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 186,
"difficulty_id": 3,
"explanation": "Perimeter of triangle VRW = \\(\\dfrac{2}{3}\\times84=56\\) cm. Then 56 \\u00d7 2 = 112; 112 \\u2212 84 = 28; 28 \\u00f7 2 = 14 cm = WR = PS = SU = QR = RT. Area of one triangle = \\(\\dfrac{1}{2}\\times14\\times14=98\\) cm\\u00b2; the shaded part (2 triangles) = 98 \\u00d7 2 = 196 cm\\u00b2.",
"hints": ["Find the triangle's perimeter (two-thirds of 84).", "Work out WR = 14 cm, then the area of the two triangles."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam P2 Q13",
"image_needed": true,
"image_options": false,
"image_file": "q45.png",
"image_page": 34,
"image_bbox": [0.32, 0.26, 0.62, 0.48],
"image_loc": "two rectangles forming a square with shaded arrow-shape VRXW",
"notes": "Paper 2 Q13. Key: 196 cm²"
},
{
"n": 46,
"type_id": 2,
"question": "Study the pattern of grey and white arrows. The table shows the first figures (Figure 1: 2 grey / 3 white; Figure 2: 4/5; Figure 3: 6/7; Figure 4: 8/9). (b) What is the total number of grey and white arrows in Figure 10? Ans: [?]",
"answer0": "41",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 154,
"difficulty_id": 3,
"explanation": "Grey arrows in Figure n = 2n; white arrows = 2n + 1. For Figure 10: grey = 20, white = 21, total = 41.",
"hints": ["Grey arrows = 2 \\u00d7 figure number.", "White arrows = grey + 1; add them for Figure 10."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam P2 Q14",
"image_needed": true,
"image_options": false,
"image_file": "q46.png",
"image_page": 35,
"image_bbox": [0.18, 0.12, 0.82, 0.26],
"image_loc": "arrow patterns Figure 1-4 (grey and white arrows)",
"notes": "Paper 2 Q14. Part (a) completes table (Figure 5: grey 10, white 11). Captured (b) 41. Part (c) Figure 21 handled below. Key: (a) 10, 11 (b) 41 (c) Figure 21."
},
{
"n": 47,
"type_id": 2,
"question": "Study the pattern of grey and white arrows (grey = 2n, white = 2n + 1 for Figure n). (c) Which figure number has a total of 85 grey and white arrows? Ans: Figure [?]",
"answer0": "21",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 154,
"difficulty_id": 3,
"explanation": "Total arrows in Figure n = 2n + (2n + 1) = 4n + 1. Set 4n + 1 = 85, so 4n = 84, n = 21. (Or 85 \\u2212 3 \\u2212 2 = 80, 80 \\u00f7 4 = 20, 20 + 1 = Figure 21.)",
"hints": ["Total arrows in Figure n = 4n + 1.", "Solve 4n + 1 = 85."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam P2 Q14",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q14(c). Key: Figure 21. Split from Q14(b)."
},
{
"n": 48,
"type_id": 2,
"question": "Mrs Lim had 504 fewer roses than sunflowers. After she sold \\(\\dfrac{2}{5}\\) of the roses and \\(\\dfrac{3}{4}\\) of the sunflowers, she had an equal number of roses and sunflowers left.
(a) How many flowers did Mrs Lim have at first? Ans: [?]
(b) At the end of the day, Mrs Lim threw away \\(\\dfrac{1}{3}\\) of the remaining flowers as they had wilted. How many flowers had she left? Ans: [?]",
"answer0": "1224",
"answer1": "288",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 165,
"difficulty_id": 3,
"explanation": "Roses left = \\(\\dfrac{3}{5}\\) of roses; sunflowers left = \\(\\dfrac{1}{4}\\) of sunflowers; these are equal. So \\(\\dfrac{3}{5}R=\\dfrac{1}{4}S\\). With S = R + 504, solving gives R = 360, S = 864; total at first = 1224. (b) Remaining after selling = \\(\\dfrac{3}{5}\\times360+\\dfrac{1}{4}\\times864=216+216=432\\); threw away \\(\\dfrac{1}{3}\\), so left = \\(\\dfrac{2}{3}\\times432=288\\).",
"hints": ["Set roses left = sunflowers left and use S = R + 504.", "(b) Find the total remaining, then take two-thirds after throwing away a third."],
"source": "Maha Bodhi 2025 P5 End-of-Year Exam P2 Q15",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Paper 2 Q15. Key: (a) 1224 flowers (b) 288"
}
]
}