{
"paper": {
"school": "CHIJ St Nicholas Girls' School (Primary)",
"year": 2023,
"level": "P5",
"label": "Weighted Assessment 1",
"source_prefix": "St Nicholas 2023 P5 Weighted Assessment 1",
"has_answer_key": true
},
"questions": [
{
"n": 1,
"type_id": 1,
"question": "What is the value of the digit 8 in 680 159?",
"answer0": "80",
"answer1": "800",
"answer2": "8000",
"answer3": "80 000",
"correct_answer": 3,
"skill_id": 149,
"difficulty_id": 1,
"explanation": "The digit 8 sits in the ten-thousands place of 680 159, so its value is 8 × 10 000 = 80 000.",
"hints": ["Read the place each digit occupies, from the right: ones, tens, hundreds, thousands, ten-thousands.", "8 is the fifth digit from the right."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q1",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 4 (80 000)."
},
{
"n": 2,
"type_id": 1,
"question": "How many quarters are there in \\(3\\dfrac{1}{4}\\)?",
"answer0": "7",
"answer1": "8",
"answer2": "13",
"answer3": "31",
"correct_answer": 2,
"skill_id": 157,
"difficulty_id": 1,
"explanation": "\\(3\\dfrac{1}{4}=\\dfrac{13}{4}\\). The number of quarters is 13.",
"hints": ["Convert the mixed number to an improper fraction with denominator 4.", "3 wholes = 12 quarters; add the extra 1 quarter."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q2",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 3 (13)."
},
{
"n": 3,
"type_id": 1,
"question": "In which one of the following numbers is the digit 7 in the hundredths place?",
"answer0": "27.85",
"answer1": "75.61",
"answer2": "45.78",
"answer3": "50.07",
"correct_answer": 3,
"skill_id": 123,
"difficulty_id": 1,
"explanation": "The hundredths place is the second digit after the decimal point. In 50.07 the 7 is in the hundredths place.",
"hints": ["First decimal place = tenths, second = hundredths.", "Check the second digit after the point in each option."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q3",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 4 (50.07)."
},
{
"n": 4,
"type_id": 1,
"question": "One of the lines in the figure is parallel to AB. Which line is parallel to AB?",
"answer0": "AD",
"answer1": "AE",
"answer2": "CD",
"answer3": "CE",
"correct_answer": 3,
"skill_id": 100,
"difficulty_id": 2,
"explanation": "In the figure, CE runs in the same direction as AB and never meets it, so CE is parallel to AB.",
"hints": ["Parallel lines never meet and stay the same distance apart.", "Compare the slope of each option line against AB."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q4",
"image_needed": true,
"image_options": false,
"image_file": "q4.png",
"image_page": 3,
"image_bbox": [0.33, 0.12, 0.72, 0.33],
"image_loc": "figure of quadrilateral with points A,B,C,D,E near top of page 3",
"notes": "Answer key: option 4 (CE)."
},
{
"n": 5,
"type_id": 1,
"question": "What is the length of the arrow?",
"answer0": "4.4 cm",
"answer1": "4.8 cm",
"answer2": "5.4 cm",
"answer3": "5.8 cm",
"correct_answer": 1,
"skill_id": 184,
"difficulty_id": 2,
"explanation": "The arrow runs from the 1 cm mark to about the 5.8 cm mark of the ruler; its length is 5.8 − 1.0 = 4.8 cm.",
"hints": ["The arrow does not start at 0 cm.", "Length = end reading − start reading on the ruler."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q5",
"image_needed": true,
"image_options": false,
"image_file": "q5.png",
"image_page": 3,
"image_bbox": [0.18, 0.55, 0.85, 0.72],
"image_loc": "ruler with grey arrow underneath, lower half of page 3",
"notes": "Answer key: option 2 (4.8 cm). Arrow spans 1 cm to 5.8 cm."
},
{
"n": 6,
"type_id": 1,
"question": "The bar graph shows the number of waffles of different flavours sold at Yummy Bakery in a month.
Which were the two least popular waffles sold in the month?",
"answer0": "Cheese and Plain",
"answer1": "Chocolate and Plain",
"answer2": "Blueberry and Cheese",
"answer3": "Blueberry and Chocolate",
"correct_answer": 0,
"skill_id": 147,
"difficulty_id": 1,
"explanation": "From the bar graph: Blueberry ≈ 750, Chocolate ≈ 450, Cheese ≈ 400, Plain ≈ 100. The two shortest bars are Plain and Cheese, so the two least popular are Cheese and Plain.",
"hints": ["Least popular = shortest bars.", "Compare the bar lengths for all four flavours."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q6",
"image_needed": true,
"image_options": false,
"image_file": "q6.png",
"image_page": 4,
"image_bbox": [0.12, 0.18, 0.92, 0.50],
"image_loc": "horizontal bar graph 'Waffles sold at Yummy Bakery' on page 4",
"notes": "Answer key: option 1 (Cheese and Plain)."
},
{
"n": 7,
"type_id": 1,
"question": "The bar graph shows the favourite sports voted by a number of men and women.
The top three favourite sports were voted by 87 men. How many women voted for these three sports as their favourite?",
"answer0": "66",
"answer1": "69",
"answer2": "101",
"answer3": "156",
"correct_answer": 1,
"skill_id": 104,
"difficulty_id": 2,
"explanation": "Top three sports by total votes: Table Tennis (≈64), Badminton (≈50), Swimming (≈42), totalling 156. Of these, 87 were men, so women = 156 − 87 = 69.",
"hints": ["Identify the three tallest bars and add their totals.", "Subtract the 87 men from the total of the top three sports."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q7",
"image_needed": true,
"image_options": false,
"image_file": "q7.png",
"image_page": 5,
"image_bbox": [0.12, 0.14, 0.92, 0.55],
"image_loc": "vertical bar graph 'Favourite sports voted' on page 5",
"notes": "Answer key: option 2 (69). Top three totals 156 (TT 64 + Badminton 50 + Swimming 42); 156 − 87 = 69."
},
{
"n": 8,
"type_id": 1,
"question": "The figure shows a rectangle PQRS and a square ABCD. What is the area of the shaded part?",
"answer0": "71 m²",
"answer1": "105 m²",
"answer2": "113 m²",
"answer3": "120 m²",
"correct_answer": 0,
"skill_id": 138,
"difficulty_id": 2,
"explanation": "Area of rectangle PQRS = 12 × 10 = 120 m². Area of square ABCD = 7 × 7 = 49 m². Shaded area = 120 − 49 = 71 m².",
"hints": ["Shaded area = rectangle area − square area.", "Square area = side × side = 7 × 7."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q8",
"image_needed": true,
"image_options": false,
"image_file": "q8.png",
"image_page": 6,
"image_bbox": [0.30, 0.18, 0.70, 0.42],
"image_loc": "shaded rectangle PQRS (12m by 10m) with white square (7m) inside, page 6",
"notes": "Answer key: option 1 (71 m²)."
},
{
"n": 9,
"type_id": 1,
"question": "In the figure, AB is a line of symmetry. How many more squares must be shaded to make the figure symmetric?",
"answer0": "5",
"answer1": "2",
"answer2": "3",
"answer3": "4",
"correct_answer": 2,
"skill_id": 145,
"difficulty_id": 2,
"explanation": "For each shaded square, its mirror image across the diagonal line AB must also be shaded. Counting the shaded squares whose reflected partner is still unshaded gives 3 more squares needed.",
"hints": ["Reflect each shaded square across the diagonal AB.", "Count shaded squares whose mirror-image square is still white."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q9",
"image_needed": true,
"image_options": false,
"image_file": "q9.png",
"image_page": 7,
"image_bbox": [0.33, 0.12, 0.65, 0.35],
"image_loc": "5x5 grid with some shaded squares and diagonal symmetry line AB, page 7",
"notes": "Answer key: option 3 (3). Verify shaded-square count against the figure when cropping."
},
{
"n": 10,
"type_id": 1,
"question": "A group of 7 girls and 9 boys shared a packet of sweets. Each of them took 5 sweets. There were 20 sweets left. Which one of the equations shows the total number of sweets in the packet at first?",
"answer0": "7 + 9 × 5 + 20",
"answer1": "7 + 9 × 5 − 20",
"answer2": "(7 + 9) × 5 + 20",
"answer3": "(7 × 5) + (9 × 5) − 20",
"correct_answer": 2,
"skill_id": 156,
"difficulty_id": 2,
"explanation": "Total people = 7 + 9 = 16. Each took 5, so sweets taken = (7 + 9) × 5. With 20 left over, the original total = (7 + 9) × 5 + 20.",
"hints": ["Total people taken together × 5 gives the sweets used.", "Add the 20 left over to the sweets taken."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q10",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 3 ((7 + 9) × 5 + 20)."
},
{
"n": 11,
"type_id": 1,
"question": "The figure is made up of 3 identical squares and a rectangle. What is the length of BC?",
"answer0": "16 cm",
"answer1": "24 cm",
"answer2": "26 cm",
"answer3": "50 cm",
"correct_answer": 2,
"skill_id": 143,
"difficulty_id": 3,
"explanation": "The three identical squares are stacked along the right side, so each square's side = 66 ÷ 3 = 22 cm. AG = 48 cm is the top width, so BC = total width − square width = 48 − 22 = 26 cm.",
"hints": ["The full height 66 cm is split equally by the 3 stacked squares.", "The square side = 66 ÷ 3; subtract it from the 48 cm width to get BC."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q11",
"image_needed": true,
"image_options": false,
"image_file": "q11.png",
"image_page": 8,
"image_bbox": [0.30, 0.13, 0.66, 0.40],
"image_loc": "figure of large rectangle ABDG (48cm wide, 66cm tall) with 3 stacked squares on right, BC marked '?', page 8",
"notes": "Answer key: option 3 (26 cm)."
},
{
"n": 12,
"type_id": 1,
"question": "At first, Wallace had 30 green pens. He gave \\(\\dfrac{5}{6}\\) of the green pens away. Then he bought another 12 green pens. How many green pens did he have altogether in the end?",
"answer0": "17",
"answer1": "19",
"answer2": "32",
"answer3": "37",
"correct_answer": 0,
"skill_id": 165,
"difficulty_id": 2,
"explanation": "Pens given away = \\(\\dfrac{5}{6}\\) × 30 = 25, so 30 − 25 = 5 left. After buying 12 more: 5 + 12 = 17.",
"hints": ["Find \\(\\dfrac{5}{6}\\) of 30 to see how many were given away.", "Pens left = 30 − given away, then add 12."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q12",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 1 (17)."
},
{
"n": 13,
"type_id": 1,
"question": "How many white stars must be replaced by grey stars so that \\(\\dfrac{4}{5}\\) of the total number of stars are grey?",
"answer0": "7",
"answer1": "11",
"answer2": "12",
"answer3": "16",
"correct_answer": 1,
"skill_id": 174,
"difficulty_id": 2,
"explanation": "There are 20 stars in total. \\(\\dfrac{4}{5}\\) of 20 = 16 grey stars needed. There are 5 grey stars already (the filled ones), so 16 − 5 = 11 white stars must be replaced.",
"hints": ["Count the total stars (4 rows of 5 = 20) and how many are already grey.", "Grey needed = \\(\\dfrac{4}{5}\\) of total; subtract the grey ones already there."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q13",
"image_needed": true,
"image_options": false,
"image_file": "q13.png",
"image_page": 9,
"image_bbox": [0.10, 0.13, 0.62, 0.40],
"image_loc": "4 rows of 5 stars (mix of white outline and grey filled), page 9",
"notes": "Answer key: option 2 (11). 20 stars total, 5 already grey, need 16 grey → replace 11. Verify grey-star count against figure when cropping."
},
{
"n": 14,
"type_id": 1,
"question": "A factory produces twice as many blouses as T-shirts daily. It produces 320 fewer T-shirts than blouses daily. How many blouses does it produce in 5 days?",
"answer0": "3200",
"answer1": "1600",
"answer2": "960",
"answer3": "640",
"correct_answer": 0,
"skill_id": 152,
"difficulty_id": 2,
"explanation": "Blouses = 2 × T-shirts, so blouses − T-shirts = T-shirts = 320 daily, giving blouses = 640 daily. In 5 days: 640 × 5 = 3200.",
"hints": ["If blouses are twice the T-shirts, the difference equals one lot of T-shirts.", "Find daily blouses first, then multiply by 5."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q14",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 1 (3200)."
},
{
"n": 15,
"type_id": 1,
"question": "Mandy wants to pack some tarts into boxes of 4, 5 or 8 with no remainder. The number of tarts she has is fewer than 50. What is the greatest possible number of tarts Mandy has?",
"answer0": "16",
"answer1": "20",
"answer2": "32",
"answer3": "40",
"correct_answer": 3,
"skill_id": 115,
"difficulty_id": 3,
"explanation": "The number must be a common multiple of 4, 5 and 8. LCM(4, 5, 8) = 40. The greatest multiple of 40 that is under 50 is 40 itself.",
"hints": ["The number must divide exactly by 4, 5 and 8 — find the LCM.", "LCM(4,5,8) = 40; look for the largest such number below 50."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q15",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 4 (40)."
},
{
"n": 16,
"type_id": 2,
"question": "Write three million, two hundred and fourteen thousand and fifty-six in numerals. [?]",
"answer0": "3214056",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 149,
"difficulty_id": 1,
"explanation": "Three million = 3 000 000; two hundred and fourteen thousand = 214 000; fifty-six = 56. Total = 3 214 056.",
"hints": ["Build it in chunks: millions, then thousands, then ones.", "Three million 3 000 000 + 214 000 + 56."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q16",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 3214056."
},
{
"n": 17,
"type_id": 1,
"question": "Carlson spent \\(\\dfrac{1}{3}\\) of his money on a book and \\(\\dfrac{1}{7}\\) of his money on a burger. What fraction of his money did Carlson spend altogether?",
"answer0": "\\(\\dfrac{10}{21}\\)",
"answer1": "\\(\\dfrac{2}{10}\\)",
"answer2": "\\(\\dfrac{2}{21}\\)",
"answer3": "\\(\\dfrac{4}{21}\\)",
"correct_answer": 0,
"skill_id": 159,
"difficulty_id": 2,
"explanation": "\\(\\dfrac{1}{3}+\\dfrac{1}{7}=\\dfrac{7}{21}+\\dfrac{3}{21}=\\dfrac{10}{21}\\).",
"hints": ["Use a common denominator of 21.", "\\(\\dfrac{1}{3}=\\dfrac{7}{21}\\) and \\(\\dfrac{1}{7}=\\dfrac{3}{21}\\)."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q17",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 10/21. Converted to MCQ (fraction answer); distractors are common errors."
},
{
"n": 18,
"type_id": 2,
"question": "Amira used 7.8 m of cloth to sew 4 identical pouches. How much cloth did she use to sew each pouch? [?]",
"answer0": "1.95",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 130,
"difficulty_id": 1,
"explanation": "Cloth per pouch = 7.8 ÷ 4 = 1.95 m.",
"hints": ["Divide the total cloth equally among the 4 pouches.", "7.8 ÷ 4."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q18",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 1.95 m. Answer in metres."
},
{
"n": 19,
"type_id": 2,
"question": "Hafsah is standing at point Y facing south-east. How many degrees will she need to turn in a clockwise direction to face west? [?]",
"answer0": "135",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 142,
"difficulty_id": 2,
"explanation": "Turning clockwise from south-east: south-east → south (45°) → south-west (90°) → west (135°). She must turn 135°.",
"hints": ["Each step around the 8-point compass is 45°.", "Count clockwise: SE → S → SW → W is three 45° steps."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q19",
"image_needed": true,
"image_options": false,
"image_file": "q19.png",
"image_page": 13,
"image_bbox": [0.08, 0.42, 0.62, 0.68],
"image_loc": "8-point compass diagram (A-H) centred at Y, with N arrow, page 13",
"notes": "Answer key: 135°. Answer in degrees. Direction/angle answer kept as FIB (numeric degrees)."
},
{
"n": 20,
"type_id": 1,
"question": "Aini took 45 min to travel from home to the shopping centre. She reached the shopping centre at 1.30 p.m. At what time did she leave home?",
"answer0": "12.45 p.m.",
"answer1": "12.15 p.m.",
"answer2": "1.15 p.m.",
"answer3": "2.15 p.m.",
"correct_answer": 0,
"skill_id": 93,
"difficulty_id": 1,
"explanation": "Subtract the 45-min journey from the arrival time: 1.30 p.m. − 45 min = 12.45 p.m.",
"hints": ["Work backwards from the arrival time.", "1.30 p.m. minus 45 minutes."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q20",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 12.45 p.m. Converted to MCQ (time/clock answer); distractors are common errors."
},
{
"n": 21,
"type_id": 2,
"question": "Meifang's mass is 53.4 kg when rounded to 1 decimal place. What is her greatest possible mass? Give your answer to 2 decimal places. [?]",
"answer0": "53.44",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 128,
"difficulty_id": 2,
"explanation": "A mass that rounds to 53.4 must be less than 53.45. The greatest value to 2 decimal places is 53.44 kg.",
"hints": ["Values from 53.35 up to (but not including) 53.45 round to 53.4.", "The largest 2-decimal value below 53.45 is 53.44."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q21",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 53.44 kg. Answer in kg. Number-line shown is illustrative; no figure crop needed for the answer."
},
{
"n": 22,
"type_id": 2,
"question": "Rhean had some beads. She gave 157 beads to Shirlyn and 98 beads to Jacy. In the end, she had 254 beads. How many beads did Rhean have at first? [?]",
"answer0": "509",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 1,
"explanation": "Beads given away = 157 + 98 = 255. At first = 255 + 254 = 509.",
"hints": ["Add up the beads given away first.", "Original = beads given away + beads left."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q22",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 509. (Key's working line reads 254 + 255 = 509.)"
},
{
"n": 23,
"type_id": 2,
"question": "4 mangoes and 3 watermelons cost $54. 3 watermelons cost as much as 2 mangoes. Find the cost of a watermelon. [?]",
"answer0": "6",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 183,
"difficulty_id": 3,
"explanation": "Replace 3 watermelons with 2 mangoes: 4 mangoes + 2 mangoes = 6 mangoes = $54, so 1 mango = $9. Then 3 watermelons = 2 mangoes = $18, so 1 watermelon = $18 ÷ 3 = $6.",
"hints": ["Swap the 3 watermelons for 2 mangoes so everything is in mangoes.", "6 mangoes = $54; find one mango, then convert back to a watermelon."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q23",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: $6. Answer in dollars."
},
{
"n": 24,
"type_id": 1,
"question": "Brady had a container filled with 8 ℓ of water. He poured \\(\\dfrac{2}{5}\\) ℓ into Bottle A and \\(\\dfrac{3}{10}\\) ℓ into Bottle B. How much water was left in the container?",
"answer0": "\\(7\\dfrac{3}{10}\\) ℓ",
"answer1": "\\(7\\dfrac{7}{10}\\) ℓ",
"answer2": "\\(7\\dfrac{1}{2}\\) ℓ",
"answer3": "\\(1\\dfrac{3}{10}\\) ℓ",
"correct_answer": 0,
"skill_id": 160,
"difficulty_id": 2,
"explanation": "Poured out = \\(\\dfrac{2}{5}+\\dfrac{3}{10}=\\dfrac{4}{10}+\\dfrac{3}{10}=\\dfrac{7}{10}\\) ℓ. Left = \\(8-\\dfrac{7}{10}=7\\dfrac{3}{10}\\) ℓ.",
"hints": ["Add the two poured amounts using a common denominator of 10.", "Subtract \\(\\dfrac{7}{10}\\) from 8."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q24",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 7 3/10 ℓ. Converted to MCQ (mixed-number answer); distractors are common errors."
},
{
"n": 25,
"type_id": 2,
"question": "The figure shows a rectangle ABCD. Find \\(\\angle y\\). [?]",
"answer0": "41",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 230,
"difficulty_id": 2,
"explanation": "At corner C the right angle of the rectangle is 90°. The three angles at C are 34°, y and 15°, so y = 90° − 34° − 15° = 41°.",
"hints": ["The corner C of a rectangle is a right angle (90°).", "y = 90° − 34° − 15°."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q25",
"image_needed": true,
"image_options": false,
"image_file": "q25.png",
"image_page": 17,
"image_bbox": [0.14, 0.13, 0.46, 0.30],
"image_loc": "rectangle ABCD with two lines drawn from corner C creating 34°, y and 15° angles, page 17",
"notes": "Answer key: 41°. Answer in degrees."
},
{
"n": 26,
"type_id": 2,
"question": "The table shows the mass of recycled items collected by five classes.
(a) Find the difference between the mass of recycled items collected by Class 5A and Class 5C. [?]
(b) Which 2 classes collected a total of more than 80 kg of recycled items? Class 5 [?] and Class 5 [?]",
"answer0": "17",
"answer1": "E",
"answer2": "B",
"answer3": null,
"correct_answer": null,
"skill_id": 146,
"difficulty_id": 1,
"explanation": "(a) 5A = 29 kg, 5C = 12 kg, difference = 29 − 12 = 17 kg. (b) 5E = 48 kg and 5B = 33 kg total 81 kg, which is more than 80 kg.",
"hints": ["(a) Subtract the smaller mass from the larger.", "(b) Look for two classes whose masses add to more than 80 kg (48 + 33 = 81)."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q26",
"image_needed": true,
"image_options": false,
"image_file": "q26.png",
"image_page": 18,
"image_bbox": [0.18, 0.10, 0.78, 0.28],
"image_loc": "table of Class (5A-5E) vs Mass of recycled items collected (kg), page 18",
"notes": "Answer key: (a) 17 kg; (b) Class 5E and Class 5B. Part (b) class letters are single-letter answers; kept in this multi-part FIB matching the printed answer blanks (5E, 5B)."
},
{
"n": 27,
"type_id": 2,
"question": "Mrs Yoong sold curry puffs at Makan-licious Cafe. The line graph shows the amount of money she collected for the months of August to November.
Mrs Yoong collected a total amount of $15 500 from August to December. How much money did she collect in December? [?]",
"answer0": "5000",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 148,
"difficulty_id": 2,
"explanation": "From the graph: Aug = $3500, Sep = $1500, Oct = $2500, Nov = $3000, totalling $10 500. December = $15 500 − $10 500 = $5000.",
"hints": ["Read the four monthly amounts off the line graph and add them.", "December = total $15 500 − the Aug-to-Nov total."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q27",
"image_needed": true,
"image_options": false,
"image_file": "q27.png",
"image_page": 19,
"image_bbox": [0.08, 0.18, 0.78, 0.42],
"image_loc": "line graph 'Amount of money collected' Aug-Nov, page 19",
"notes": "Answer key: $5000. Answer in dollars."
},
{
"n": 28,
"type_id": 2,
"question": "The figure shows a square. The perimeter of the shaded part is 32 cm. Find the area of the square. [?]",
"answer0": "81",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 138,
"difficulty_id": 3,
"explanation": "By shifting the steps of the staircase shape, the perimeter of the shaded part equals the perimeter of the full square plus two extra segments. 32 − 7 − 7 = 18, then 18 ÷ 2 = 9 cm is the side of the square. Area = 9 × 9 = 81 cm².",
"hints": ["Rearrange the staircase edges to form the square's outline.", "Side = (32 − 7 − 7) ÷ 2 = 9; area = side × side."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q28",
"image_needed": true,
"image_options": false,
"image_file": "q28.png",
"image_page": 20,
"image_bbox": [0.10, 0.10, 0.50, 0.32],
"image_loc": "square with a shaded staircase region, side labelled 7 cm and base labelled 9, page 20",
"notes": "Answer key: 81 cm². Answer in cm². Key working: 32 − 7 − 7 = 18, 18 ÷ 2 = 9, 9 × 9 = 81."
},
{
"n": 29,
"type_id": 2,
"question": "There were some sweets in a box. Hillary took out \\(\\dfrac{3}{8}\\) of the sweets on Monday and another 47 sweets on Tuesday. There were 33 sweets left in the box. How many sweets were there in the box at first? [?]",
"answer0": "128",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 165,
"difficulty_id": 3,
"explanation": "After Monday, \\(\\dfrac{5}{8}\\) remained. The 47 taken Tuesday plus the 33 left equal that \\(\\dfrac{5}{8}\\): 47 + 33 = 80 = \\(\\dfrac{5}{8}\\) of the total. So \\(\\dfrac{1}{8}\\) = 80 ÷ 5 = 16, and the total = 16 × 8 = 128.",
"hints": ["After Monday, \\(\\dfrac{5}{8}\\) of the sweets remain — that covers Tuesday's 47 plus the 33 left.", "47 + 33 = 80 represents \\(\\dfrac{5}{8}\\); find \\(\\dfrac{1}{8}\\) then the whole."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q29",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 128. Key working: 47 + 33 = 80, 80 ÷ 5 = 16, 16 × 8 = 128."
},
{
"n": 30,
"type_id": 2,
"question": "Wynn bought 56 pencils. The pencils were priced at 40¢ each and in a box of 6 at $2 per box. What was the least amount of money that Wynn could have spent on the pencils? [?]",
"answer0": "18.80",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 167,
"difficulty_id": 3,
"explanation": "Boxes are cheaper per pencil ($2 ÷ 6 ≈ 33¢ vs 40¢). Buy as many boxes as possible: 56 ÷ 6 = 9 boxes (54 pencils) with 2 left over. 9 boxes = 9 × $2 = $18; the 2 loose pencils = 2 × 40¢ = 80¢. Total = $18 + $0.80 = $18.80.",
"hints": ["A box of 6 for $2 is cheaper than buying 6 singles at 40¢, so use boxes where possible.", "9 boxes cover 54 pencils; buy the remaining 2 singly."],
"source": "St Nicholas 2023 P5 Weighted Assessment 1 Q30",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: $18.80. Answer in dollars."
}
]
}