{
"paper": {
"school": "Singapore Chinese Girls' School",
"year": 2023,
"level": "P4",
"label": "End of Year Exam",
"source_prefix": "SCGS 2023 P4 End of Year Exam",
"has_answer_key": true
},
"questions": [
{
"n": 1,
"type_id": 1,
"question": "The value of the digit 9 in 69 216 is [?].",
"answer0": "90",
"answer1": "900",
"answer2": "9000",
"answer3": "90 000",
"correct_answer": 2,
"skill_id": 105,
"difficulty_id": 1,
"explanation": "The digit 9 is in the thousands place. So its value is 9 × 1000 = 9000.",
"hints": [
"Identify which place the digit 9 sits in.",
"9 is the thousands digit, so value = 9 × 1000."
],
"source": "SCGS 2023 P4 End of Year Exam Q1",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 3 (9000)."
},
{
"n": 2,
"type_id": 1,
"question": "70 000 + 1000 + 900 + 5 = [?]",
"answer0": "71 950",
"answer1": "71 905",
"answer2": "71 095",
"answer3": "70 195",
"correct_answer": 1,
"skill_id": 105,
"difficulty_id": 1,
"explanation": "70 000 + 1000 + 900 + 5 = 71 905. There are 0 tens, so the tens digit is 0.",
"hints": [
"Add place by place: ten-thousands, thousands, hundreds, ones.",
"There is no tens part, so the tens digit is 0."
],
"source": "SCGS 2023 P4 End of Year Exam Q2",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 2 (71 905)."
},
{
"n": 3,
"type_id": 1,
"question": "Which of the following is a multiple of 5 and 6?",
"answer0": "11",
"answer1": "24",
"answer2": "25",
"answer3": "30",
"correct_answer": 3,
"skill_id": 115,
"difficulty_id": 2,
"explanation": "A common multiple of 5 and 6 must appear in both times tables. 30 = 5 × 6 = 6 × 5, so 30 is a multiple of both 5 and 6.",
"hints": [
"The number must be in both the 5 and 6 times tables.",
"Multiples of 5 end in 0 or 5; check which is also a multiple of 6."
],
"source": "SCGS 2023 P4 End of Year Exam Q3",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 4 (30)."
},
{
"n": 4,
"type_id": 1,
"question": "Round 31.76 to the nearest whole number.",
"answer0": "30",
"answer1": "31",
"answer2": "32",
"answer3": "35",
"correct_answer": 2,
"skill_id": 128,
"difficulty_id": 1,
"explanation": "Look at the first decimal digit, 7. Since 7 ≥ 5, round up: 31.76 rounds to 32.",
"hints": [
"Look at the tenths digit to decide.",
"7 is 5 or more, so round the whole number up."
],
"source": "SCGS 2023 P4 End of Year Exam Q4",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 3 (32)."
},
{
"n": 5,
"type_id": 1,
"question": "Which of the following figures has perpendicular lines?",
"answer0": "M",
"answer1": "V",
"answer2": "N",
"answer3": "H",
"correct_answer": 3,
"skill_id": 100,
"difficulty_id": 2,
"explanation": "Perpendicular lines meet at a right angle (90°). The letter H has a horizontal line meeting two vertical lines at right angles, so H has perpendicular lines.",
"hints": [
"Perpendicular lines cross at a 90° right angle.",
"Look for a figure where one line meets another squarely."
],
"source": "SCGS 2023 P4 End of Year Exam Q5",
"image_needed": true,
"image_options": true,
"image_file": null,
"notes": "Answer key: option 4 (H). Options are the letters M, V, N, H rendered as large figures; crop each as q5_opt0..3.png.",
"image_page": 4,
"image_loc": "four large letter figures (M, V, N, H) listed vertically below the question"
},
{
"n": 6,
"type_id": 1,
"question": "Kaye prepared 48 fruit baskets for a party. There were 21 fruits in each basket. How many fruits were there altogether?",
"answer0": "69",
"answer1": "144",
"answer2": "908",
"answer3": "1008",
"correct_answer": 3,
"skill_id": 116,
"difficulty_id": 2,
"explanation": "Multiply the number of baskets by fruits per basket: 48 × 21 = 1008 fruits.",
"hints": [
"This is a multiplication: baskets × fruits per basket.",
"48 × 21 = 48 × 20 + 48 × 1 = 960 + 48."
],
"source": "SCGS 2023 P4 End of Year Exam Q6",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 4 (1008)."
},
{
"n": 7,
"type_id": 1,
"question": "Write $$5\\frac{7}{20}$$ as a decimal.",
"answer0": "5.35",
"answer1": "5.035",
"answer2": "5.7",
"answer3": "5.72",
"correct_answer": 0,
"skill_id": 127,
"difficulty_id": 2,
"explanation": "Convert the fraction: $$\\frac{7}{20}=\\frac{35}{100}=0.35$$. So $$5\\frac{7}{20}=5.35$$.",
"hints": [
"Make the denominator 100 by multiplying numerator and denominator by 5.",
"7/20 = 35/100 = 0.35, then add the whole number 5."
],
"source": "SCGS 2023 P4 End of Year Exam Q7",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 1 (5.35)."
},
{
"n": 8,
"type_id": 1,
"question": "What fraction represents the shaded parts?",
"answer0": "$$\\frac{13}{8}$$",
"answer1": "$$\\frac{15}{8}$$",
"answer2": "$$\\frac{19}{8}$$",
"answer3": "$$\\frac{21}{8}$$",
"correct_answer": 3,
"skill_id": 119,
"difficulty_id": 2,
"explanation": "Each circle is divided into 8 equal parts (eighths). Two whole circles are fully shaded (16 eighths). The third circle has 5 of its 8 parts shaded. Total = 16 + 5 = 21 eighths = $$\\frac{21}{8}$$.",
"hints": [
"Each circle is split into eighths.",
"Count the shaded eighths in all three circles and write as an improper fraction."
],
"source": "SCGS 2023 P4 End of Year Exam Q8",
"image_needed": true,
"image_options": false,
"image_file": "q8.png",
"notes": "Answer key: option 4 (21/8). Two fully shaded circles + a third circle with 5 of 8 parts shaded = 21 eighths.",
"image_page": 5,
"image_bbox": [
0.2,
0.13,
0.72,
0.27
],
"image_loc": "three circles in a row near the top of the page (two fully shaded, one part-shaded into eighths)"
},
{
"n": 9,
"type_id": 1,
"question": "The figure shows the position of five towns on a grid map. Which town is north-east of town D?",
"answer0": "A",
"answer1": "B",
"answer2": "C",
"answer3": "E",
"correct_answer": 0,
"skill_id": 142,
"difficulty_id": 2,
"explanation": "North-east is up and to the right of D. Town A lies above and to the right of D, so A is north-east of D.",
"hints": [
"North-east means towards the top-right of the map.",
"Find the town that is both above and to the right of D."
],
"source": "SCGS 2023 P4 End of Year Exam Q9",
"image_needed": true,
"image_options": false,
"image_file": "q9.png",
"notes": "Answer key: option 1 (A). 8-point compass / direction question.",
"image_page": 5,
"image_bbox": [
0.3,
0.53,
0.78,
0.83
],
"image_loc": "grid map with towns A, B, C, D, E and a North compass arrow to its right, lower half of page"
},
{
"n": 10,
"type_id": 1,
"question": "Hayley's dance lesson is 2 h 30 min long. It started at 11 45. What time did it end?",
"answer0": "02 15",
"answer1": "09 15",
"answer2": "13 45",
"answer3": "14 15",
"correct_answer": 3,
"skill_id": 135,
"difficulty_id": 2,
"explanation": "Start 11 45, add 2 h → 13 45, then add 30 min → 14 15. The lesson ended at 14 15.",
"hints": [
"Add the hours first, then the minutes.",
"11 45 + 2 h = 13 45; 13 45 + 30 min = 14 15."
],
"source": "SCGS 2023 P4 End of Year Exam Q10",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 4 (14 15)."
},
{
"n": 11,
"type_id": 1,
"question": "In a class, 12 pupils take the bus to school. The remaining 28 pupils walk to school. What fraction of the pupils in class walk to school?",
"answer0": "$$\\frac{3}{10}$$",
"answer1": "$$\\frac{7}{10}$$",
"answer2": "$$\\frac{3}{7}$$",
"answer3": "$$\\frac{7}{3}$$",
"correct_answer": 1,
"skill_id": 120,
"difficulty_id": 2,
"explanation": "Total pupils = 12 + 28 = 40. Walkers = 28. Fraction who walk = $$\\frac{28}{40}=\\frac{7}{10}$$.",
"hints": [
"First find the total number of pupils.",
"Fraction who walk = walkers ÷ total, then simplify."
],
"source": "SCGS 2023 P4 End of Year Exam Q11",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 2 (7/10)."
},
{
"n": 12,
"type_id": 1,
"question": "Chloe jogs 840 m round the rectangular field once. The breadth of the field is 150 m. What is the length of the field?",
"answer0": "270 m",
"answer1": "300 m",
"answer2": "540 m",
"answer3": "690 m",
"correct_answer": 0,
"skill_id": 136,
"difficulty_id": 2,
"explanation": "Perimeter = 840 m = 2 × (length + breadth). So length + breadth = 840 ÷ 2 = 420 m. Length = 420 − 150 = 270 m.",
"hints": [
"The distance once round is the perimeter = 2 × (length + breadth).",
"Halve the perimeter, then subtract the breadth."
],
"source": "SCGS 2023 P4 End of Year Exam Q12",
"image_needed": true,
"image_options": false,
"image_file": "q12.png",
"notes": "Answer key: option 1 (270 m). Figure is a rectangle labelled 150 m on the left side; not strictly required to solve.",
"image_page": 6,
"image_bbox": [
0.27,
0.66,
0.62,
0.8
],
"image_loc": "rectangle outline with '150 m' label on its left side, middle of page"
},
{
"n": 13,
"type_id": 1,
"question": "Lana is 43.5 kg. Her brother is 5.6 kg lighter than her. What is their total mass?",
"answer0": "37.9 kg",
"answer1": "49.1 kg",
"answer2": "81.4 kg",
"answer3": "92.6 kg",
"correct_answer": 2,
"skill_id": 131,
"difficulty_id": 2,
"explanation": "Brother's mass = 43.5 − 5.6 = 37.9 kg. Total mass = 43.5 + 37.9 = 81.4 kg.",
"hints": [
"First find the brother's mass by subtracting 5.6 kg.",
"Then add both masses together."
],
"source": "SCGS 2023 P4 End of Year Exam Q13",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 3 (81.4 kg)."
},
{
"n": 14,
"type_id": 1,
"question": "How many more chocolate cakes were sold than pound cakes?",
"answer0": "20",
"answer1": "25",
"answer2": "30",
"answer3": "35",
"correct_answer": 3,
"skill_id": 104,
"difficulty_id": 2,
"explanation": "From the bar graph, chocolate cakes = 70 and pound cakes = 35. Difference = 70 − 35 = 35.",
"hints": [
"Read the bar height for chocolate cake and for pound cake.",
"Subtract pound-cake sales from chocolate-cake sales."
],
"source": "SCGS 2023 P4 End of Year Exam Q14",
"image_needed": true,
"image_options": false,
"image_file": "q14.png",
"notes": "Answer key: option 4 (35). Shares the bar graph with Q15; chocolate=70, pound=35, red velvet=30, chiffon=65.",
"image_page": 7,
"image_bbox": [
0.15,
0.29,
0.86,
0.59
],
"image_loc": "bar graph 'Number of cakes sold in a day' with bars for chocolate, pound, Red Velvet, Chiffon cake, upper-middle of page"
},
{
"n": 15,
"type_id": 1,
"question": "If 1 chiffon cake costs $12, how much was collected from the sale of chiffon cakes on that day?",
"answer0": "$744",
"answer1": "$780",
"answer2": "$840",
"answer3": "$900",
"correct_answer": 1,
"skill_id": 104,
"difficulty_id": 2,
"explanation": "From the bar graph, 65 chiffon cakes were sold. Amount collected = 65 × $12 = $780.",
"hints": [
"Read the number of chiffon cakes sold from the bar graph (65).",
"Multiply the number sold by $12."
],
"source": "SCGS 2023 P4 End of Year Exam Q15",
"image_needed": true,
"image_options": false,
"image_file": "q15.png",
"notes": "Answer key: option 2 ($780). Uses same bar graph as Q14; chiffon cake = 65.",
"image_page": 7,
"image_bbox": [
0.15,
0.29,
0.86,
0.59
],
"image_loc": "bar graph 'Number of cakes sold in a day', upper-middle of page (same graph as Q14)"
},
{
"n": 16,
"type_id": 2,
"question": "Write eleven thousand and thirty-five in figures. [?]",
"answer0": "11035",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 106,
"difficulty_id": 1,
"explanation": "Eleven thousand = 11 000 and thirty-five = 35. So in figures it is 11 035.",
"hints": [
"Write the thousands part first: eleven thousand = 11 000.",
"Add thirty-five to get 11 035."
],
"source": "SCGS 2023 P4 End of Year Exam Q16",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 11035."
},
{
"n": 17,
"type_id": 2,
"question": "Some factors of 18 are 1, 2, 3 and 18. What are the other two factors of 18? [?] and [?]",
"answer0": "9",
"answer1": "6",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 111,
"difficulty_id": 2,
"explanation": "The factors of 18 are 1, 2, 3, 6, 9, 18. Removing the given 1, 2, 3 and 18 leaves 6 and 9.",
"hints": [
"List all numbers that divide 18 exactly.",
"Factors of 18: 1, 2, 3, 6, 9, 18 — the missing two are 6 and 9."
],
"source": "SCGS 2023 P4 End of Year Exam Q17",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 9 and 6 (either order)."
},
{
"n": 18,
"type_id": 2,
"question": "What is the remainder when 4279 is divided by 4? [?]",
"answer0": "3",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 117,
"difficulty_id": 2,
"explanation": "4279 ÷ 4 = 1069 remainder 3, since 4 × 1069 = 4276 and 4279 − 4276 = 3.",
"hints": [
"Do the long division 4279 ÷ 4.",
"4 × 1069 = 4276, so the remainder is 4279 − 4276."
],
"source": "SCGS 2023 P4 End of Year Exam Q18",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 3."
},
{
"n": 19,
"type_id": 2,
"question": "Arrange the following numbers from smallest to the greatest.
$$\\frac{2}{5}$$, 0.408, 0.048
[?], [?], [?]",
"answer0": "0.048",
"answer1": "2/5",
"answer2": "0.408",
"answer3": null,
"correct_answer": null,
"skill_id": 124,
"difficulty_id": 2,
"explanation": "Convert to decimals: $$\\frac{2}{5}=0.4$$. Compare 0.4, 0.408, 0.048. Smallest to greatest: 0.048, 0.4 (=2/5), 0.408.",
"hints": [
"Change the fraction to a decimal: 2/5 = 0.4.",
"Order 0.048, 0.4, 0.408 from smallest to greatest."
],
"source": "SCGS 2023 P4 End of Year Exam Q19",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key order: 0.048, 2/5, 0.408. Middle blank is the fraction 2/5; answer kept plain as 2/5."
},
{
"n": 20,
"type_id": 2,
"question": "Write the decimal represented by A. [?]",
"answer0": "0.68",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 123,
"difficulty_id": 2,
"explanation": "Between 0.6 and 0.7 the number line is split into 10 equal parts of 0.01 each. Arrow A is at the 8th mark after 0.6, so A = 0.6 + 0.08 = 0.68.",
"hints": [
"Each small interval between 0.6 and 0.7 is 0.01.",
"Count the marks from 0.6 to the arrow A."
],
"source": "SCGS 2023 P4 End of Year Exam Q20",
"image_needed": true,
"image_options": false,
"image_file": "q20.png",
"notes": "Answer key: 0.68. Number line marked 0.6 and 0.7 with arrow A near the 0.7 end.",
"image_page": 12,
"image_bbox": [
0.15,
0.43,
0.72,
0.55
],
"image_loc": "horizontal number line labelled 0.6 and 0.7 with an upward arrow marked A, upper-middle of page"
},
{
"n": 21,
"type_id": 2,
"question": "9.3 – 0.77 = [?]",
"answer0": "8.53",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 129,
"difficulty_id": 2,
"explanation": "Line up the decimal points: 9.30 − 0.77 = 8.53.",
"hints": [
"Write 9.3 as 9.30 so both have two decimal places.",
"Subtract: 9.30 − 0.77 = 8.53."
],
"source": "SCGS 2023 P4 End of Year Exam Q21",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 8.53."
},
{
"n": 22,
"type_id": 2,
"question": "What fraction of the stars are grey in colour? [?]",
"answer0": "5/12",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 120,
"difficulty_id": 2,
"explanation": "There are 12 stars in total and 5 of them are grey. So the fraction that is grey is $$\\frac{5}{12}$$.",
"hints": [
"Count the total number of stars.",
"Count how many are grey, then write grey ÷ total."
],
"source": "SCGS 2023 P4 End of Year Exam Q22",
"image_needed": true,
"image_options": false,
"image_file": "q22.png",
"notes": "Answer key: 5/12. 12 stars total, 5 grey (shaded). FIB fraction answer kept plain as 5/12.",
"image_page": 13,
"image_bbox": [
0.22,
0.16,
0.66,
0.33
],
"image_loc": "box containing 12 stars (5 grey/shaded, 7 white outline), upper part of page"
},
{
"n": 23,
"type_id": 2,
"question": "What is the value of $$\\frac{3}{10}+\\frac{4}{5}$$? Express your answer as a mixed number. [?]",
"answer0": "1 1/10",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 121,
"difficulty_id": 2,
"explanation": "Make denominators the same: $$\\frac{4}{5}=\\frac{8}{10}$$. Then $$\\frac{3}{10}+\\frac{8}{10}=\\frac{11}{10}=1\\frac{1}{10}$$.",
"hints": [
"Convert 4/5 to tenths: 4/5 = 8/10.",
"Add to 3/10 to get 11/10, then write as a mixed number."
],
"source": "SCGS 2023 P4 End of Year Exam Q23",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 11/10 = 1 1/10. Mixed-number FIB answer kept plain as '1 1/10'."
},
{
"n": 24,
"type_id": 2,
"question": "Measure and write down the size of ∠x. [?]",
"answer0": "160",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 140,
"difficulty_id": 2,
"explanation": "Using a protractor, ∠x measures 160°. (The angle is obtuse, between a straight line and the sloping ray.)",
"hints": [
"Place the protractor centre at the vertex of angle x.",
"Read off the obtuse-angle scale — it is 160°."
],
"source": "SCGS 2023 P4 End of Year Exam Q24",
"image_needed": true,
"image_options": false,
"image_file": "q24.png",
"notes": "Answer key: 160 (degrees). Answer unit is degrees (printed after the blank). Figure is an angle x to be measured.",
"image_page": 13,
"image_bbox": [
0.18,
0.74,
0.7,
0.86
],
"image_loc": "an angle marked x formed by a horizontal ray and an upward-sloping ray, lower part of page"
},
{
"n": 25,
"type_id": 1,
"question": "Tom is facing east at first. If he turns 135° in an anti-clockwise direction, which direction will he face?",
"answer0": "North",
"answer1": "North-West",
"answer2": "South-West",
"answer3": "West",
"correct_answer": 1,
"skill_id": 142,
"difficulty_id": 2,
"explanation": "Each 45° anti-clockwise turn moves one compass point. From East, 135° = 3 × 45°: East → North-East → North → North-West. So Tom faces North-West.",
"hints": [
"Each 45° turn is one step around the 8-point compass.",
"135° is three 45° steps anti-clockwise from East."
],
"source": "SCGS 2023 P4 End of Year Exam Q25",
"image_needed": true,
"image_options": false,
"image_file": "q25.png",
"notes": "Answer key: North-West. Original is open-ended written FIB; converted to MCQ per spec (compass direction). Figure is an 8-point compass with a head at the centre.",
"image_page": 14,
"image_bbox": [
0.3,
0.16,
0.62,
0.38
],
"image_loc": "8-point compass diagram labelled North, South, East, West with a small head at the centre, upper part of page"
},
{
"n": 26,
"type_id": 2,
"question": "A piece of ribbon is 14 m long. Jane used $$\\frac{3}{7}$$ of it. What was the length of the ribbon left? [?]",
"answer0": "8",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 120,
"difficulty_id": 2,
"explanation": "Fraction left = $$1-\\frac{3}{7}=\\frac{4}{7}$$. Each seventh = 14 ÷ 7 = 2 m. Length left = $$\\frac{4}{7}$$ × 14 = 4 × 2 = 8 m.",
"hints": [
"Find the fraction of ribbon left: 1 − 3/7.",
"One seventh of 14 m is 2 m; multiply by 4."
],
"source": "SCGS 2023 P4 End of Year Exam Q26",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 8 m. Answer unit 'm' is printed after the blank."
},
{
"n": 27,
"type_id": 2,
"question": "Sera was in school from 07 30 to 14 00. How long was she in school? [?] h [?] min",
"answer0": "6",
"answer1": "30",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 135,
"difficulty_id": 2,
"explanation": "From 07 30 to 13 30 is 6 h, then 13 30 to 14 00 is 30 min. Total = 6 h 30 min.",
"hints": [
"Count whole hours from 07 30 first.",
"07 30 to 13 30 is 6 h; add the extra 30 min to 14 00."
],
"source": "SCGS 2023 P4 End of Year Exam Q27",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 6 h 30 min. Two blanks: hours then minutes."
},
{
"n": 28,
"type_id": 2,
"question": "Mrs Tan watched a movie which ended at 01 15. The movie lasted for 2 h 30 min. What time did the movie start? Express your answer in 24h-clock. [?]",
"answer0": "22 45",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 135,
"difficulty_id": 2,
"explanation": "Work backwards from 01 15. Subtract 2 h → 23 15 (previous day), then subtract 30 min → 22 45.",
"hints": [
"Subtract the duration from the ending time.",
"01 15 − 2 h = 23 15; 23 15 − 30 min = 22 45."
],
"source": "SCGS 2023 P4 End of Year Exam Q28",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 22 45."
},
{
"n": 29,
"type_id": 2,
"question": "The area of a square is 36 cm². Find the perimeter. [?]",
"answer0": "24",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 137,
"difficulty_id": 2,
"explanation": "Side of square: 6 × 6 = 36, so each side = 6 cm. Perimeter = 4 × 6 = 24 cm.",
"hints": [
"Find the side length: side × side = 36.",
"Perimeter of a square = 4 × side."
],
"source": "SCGS 2023 P4 End of Year Exam Q29",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 24 cm. Answer unit 'cm' printed after the blank."
},
{
"n": 30,
"type_id": 0,
"question": "Complete the diagram to form a symmetric figure. The dotted line is the line of symmetry. Draw the other half.",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 145,
"difficulty_id": 2,
"explanation": "Reflect every drawn segment across the dotted diagonal line of symmetry to complete the figure (a draw task).",
"hints": [],
"source": "SCGS 2023 P4 End of Year Exam Q30",
"image_needed": true,
"image_options": false,
"image_file": null,
"notes": "Interactive draw-the-other-half symmetry task — no value answer. type_id 0, will be skipped on insert. Answer key shows the completed reflected figure on a grid.",
"image_page": 15,
"image_bbox": [
0.3,
0.62,
0.66,
0.83
],
"image_loc": "square grid with a dotted diagonal line of symmetry and a partial figure drawn on the lower-left half"
},
{
"n": 31,
"type_id": 2,
"question": "In which two months were the number of books sold the same? [?] and [?]",
"answer0": "Jan",
"answer1": "Feb",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 147,
"difficulty_id": 2,
"explanation": "On the line graph, January and February both show 220 books sold — the only two months at the same height.",
"hints": [
"Look for two points on the line graph at the same height.",
"January and February both sit at 220 books."
],
"source": "SCGS 2023 P4 End of Year Exam Q31",
"image_needed": true,
"image_options": false,
"image_file": "q31.png",
"notes": "Answer key: Jan and Feb (either order). Shares line graph with Q32 and Q33.",
"image_page": 16,
"image_bbox": [
0.13,
0.18,
0.75,
0.46
],
"image_loc": "line graph 'Number of books sold' over Jan–July, upper part of page (shared by Q31–Q33)"
},
{
"n": 32,
"type_id": 2,
"question": "What was the difference between the highest and lowest number of books sold? [?]",
"answer0": "100",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 148,
"difficulty_id": 2,
"explanation": "Highest = 250 books (July), lowest = 150 books (April). Difference = 250 − 150 = 100.",
"hints": [
"Read the highest and lowest points on the line graph.",
"Subtract the lowest value (150) from the highest (250)."
],
"source": "SCGS 2023 P4 End of Year Exam Q32",
"image_needed": true,
"image_options": false,
"image_file": "q32.png",
"notes": "Answer key: 250 − 150 = 100. Uses the same line graph as Q31/Q33.",
"image_page": 16,
"image_bbox": [
0.13,
0.18,
0.75,
0.46
],
"image_loc": "line graph 'Number of books sold' over Jan–July, upper part of page (same graph as Q31)"
},
{
"n": 33,
"type_id": 2,
"question": "In which month was the increase in the number of books sold the greatest as compared to the previous month? [?]",
"answer0": "May",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 148,
"difficulty_id": 2,
"explanation": "From April (150) to May (200) is a rise of 50 books — the steepest upward jump between consecutive months. So the greatest increase was in May.",
"hints": [
"Compare each month's rise from the month before it.",
"Look for the steepest upward segment on the line graph."
],
"source": "SCGS 2023 P4 End of Year Exam Q33",
"image_needed": true,
"image_options": false,
"image_file": "q33.png",
"notes": "Answer key: May. Uses the same line graph as Q31/Q32.",
"image_page": 16,
"image_bbox": [
0.13,
0.18,
0.75,
0.46
],
"image_loc": "line graph 'Number of books sold' over Jan–July, upper part of page (same graph as Q31)"
},
{
"n": 34,
"type_id": 0,
"question": "Lines AB and BC form part of a rectangle. Draw two parallel lines to complete the rectangle.",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 143,
"difficulty_id": 2,
"explanation": "Draw a line parallel to BC through A, and a line parallel to AB through C; their intersection completes the rectangle (a draw task).",
"hints": [],
"source": "SCGS 2023 P4 End of Year Exam Q34",
"image_needed": true,
"image_options": false,
"image_file": null,
"notes": "Interactive draw task on a grid — no value answer. type_id 0, skipped on insert.",
"image_page": 17,
"image_bbox": [
0.18,
0.16,
0.68,
0.4
],
"image_loc": "square grid showing two lines meeting at B (with points A and C) forming part of a rectangle, upper part of page"
},
{
"n": 35,
"type_id": 2,
"question": "2 identical rectangles and 1 square are used to form the figure. EF is $$\\frac{1}{2}$$ of HP. Find the perimeter of the figure given that EH is 24 cm and PQ is 16 cm. [?]",
"answer0": "144",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 138,
"difficulty_id": 3,
"explanation": "PQ = 16 cm is the side of the square, so HP = 16 cm. EF = $$\\frac{1}{2}$$ × 16 = 8 cm (the rectangle's width). EH = 24 cm is the rectangle's length. Adding all outer edges: 24 + 32 + 16 + 16 + 24 + 16 + 8 = 144 cm.",
"hints": [
"The square's side equals PQ = 16 cm, so HP = 16 cm.",
"EF = half of HP = 8 cm; trace the outline and add every outer edge."
],
"source": "SCGS 2023 P4 End of Year Exam Q35",
"image_needed": true,
"image_options": false,
"image_file": "q35.png",
"notes": "Answer key: 24+32+16+16+24+16+8 = 144 cm. Composite of 2 rectangles + 1 square; figure required.",
"image_page": 17,
"image_bbox": [
0.33,
0.55,
0.78,
0.73
],
"image_loc": "composite figure labelled E, F, G, H, P, Q, W, X, Y, Z with '24cm' and '16cm' dimensions, lower part of page"
},
{
"n": 36,
"type_id": 2,
"question": "During a travel fair, 958 people attended it on the first day. On the second day, there were 3 times as many people as on the first day.
(a) How many people attended the travel fair on the second day?
(b) What is the total number of people who attended the fair for the two days?
(a) [?]
(b) [?]",
"answer0": "2874",
"answer1": "3832",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 118,
"difficulty_id": 2,
"explanation": "(a) Second day = 3 × 958 = 2874 people. (b) Total = first day + second day = 958 + 2874 = 3832 people.",
"hints": [
"Second day is 3 times the first day: 3 × 958.",
"Total = first day + second day."
],
"source": "SCGS 2023 P4 End of Year Exam Q36",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: (a) 2874, (b) 3832. Two-part FIB: blank 0 = (a), blank 1 = (b)."
},
{
"n": 37,
"type_id": 2,
"question": "Ms Chai bought 3 blouses and 4 skirts for $465. Each skirt costs $20 more than a blouse. What is the cost of 1 blouse? [?]",
"answer0": "55",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 118,
"difficulty_id": 3,
"explanation": "Replace each skirt with a blouse: remove the extra $20 × 4 = $80 from the skirts. Then 3 + 4 = 7 blouses cost $465 − $80 = $385. Cost of 1 blouse = $385 ÷ 7 = $55.",
"hints": [
"Each skirt = blouse + $20; remove the 4 × $20 extra first.",
"$465 − $80 = $385 buys 7 blouses; divide by 7."
],
"source": "SCGS 2023 P4 End of Year Exam Q37",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: $385 ÷ 7 = $55. Answer is a dollar amount; stored plain as 55."
},
{
"n": 38,
"type_id": 2,
"question": "The table shows the mass of meat sold by a butcher in a day. Beef 55.5 kg, Mutton ?, Chicken ?, Total 246 kg.
(a) If the butcher sold twice as much chicken as mutton, what is the mass of the chicken sold?
(b) If the cost of 1 kilogram of chicken is $9, what was the total amount collected from the sale of the chicken?
(a) [?]
(b) [?]",
"answer0": "127.0",
"answer1": "1143.00",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 131,
"difficulty_id": 3,
"explanation": "Mutton + chicken = 246 − 55.5 = 190.5 kg. Chicken is twice the mutton, so mutton + chicken = 3 units = 190.5; 1 unit = 63.5 kg. (a) Chicken = 2 × 63.5 = 127.0 kg. (b) Amount = 127.0 × $9 = $1143.00.",
"hints": [
"Mutton + chicken = total − beef = 190.5 kg.",
"Chicken = 2 units, mutton = 1 unit, so 3 units = 190.5 kg; 1 unit = 63.5 kg."
],
"source": "SCGS 2023 P4 End of Year Exam Q38",
"image_needed": true,
"image_options": false,
"image_file": "q38.png",
"notes": "Answer key: (a) 127.0 kg, (b) $1143.00. Table figure included. Blank 0 = (a) mass in kg, blank 1 = (b) amount in dollars.",
"image_page": 20,
"image_bbox": [
0.15,
0.15,
0.74,
0.3
],
"image_loc": "two-column table (Meat / Mass of meat sold (kg)) listing Beef 55.5, Mutton ?, Chicken ?, Total 246, upper part of page"
},
{
"n": 39,
"type_id": 2,
"question": "Olivia used $$\\frac{2}{3}$$ kg of sugar. Shannon used $$\\frac{1}{6}$$ kg of sugar more than Olivia. Adele used $$\\frac{1}{3}$$ kg less sugar than Shannon. What was the amount of sugar used by Adele? Express your answer in its simplest form. [?]",
"answer0": "1/2",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 122,
"difficulty_id": 3,
"explanation": "Olivia = $$\\frac{2}{3}=\\frac{4}{6}$$. Shannon = $$\\frac{4}{6}+\\frac{1}{6}=\\frac{5}{6}$$. Adele = $$\\frac{5}{6}-\\frac{1}{3}=\\frac{5}{6}-\\frac{2}{6}=\\frac{3}{6}=\\frac{1}{2}$$ kg.",
"hints": [
"Work in sixths: 2/3 = 4/6 and 1/3 = 2/6.",
"Shannon = 4/6 + 1/6 = 5/6; Adele = 5/6 − 2/6, then simplify."
],
"source": "SCGS 2023 P4 End of Year Exam Q39",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 3/6 = 1/2 kg. FIB fraction answer kept plain as 1/2."
},
{
"n": 40,
"type_id": 2,
"question": "Eliza places each group of 3 balloons 4 m apart along the corridor. The corridor is 32 m long. How many balloons does Eliza need in all to decorate the corridor? [?]",
"answer0": "27",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 118,
"difficulty_id": 3,
"explanation": "Number of 4 m gaps = 32 ÷ 4 = 8. Number of groups = 8 + 1 = 9 (one at each end and between gaps). Each group has 3 balloons, so total = 9 × 3 = 27 balloons.",
"hints": [
"Find the number of 4 m gaps: 32 ÷ 4 = 8.",
"Groups = gaps + 1 = 9; each group has 3 balloons."
],
"source": "SCGS 2023 P4 End of Year Exam Q40",
"image_needed": true,
"image_options": false,
"image_file": "q40.png",
"notes": "Answer key: 32÷4=8, 8+1=9 groups, 9×3=27 balloons. Figure shows 3 groups of balloons 4 m apart.",
"image_page": 22,
"image_bbox": [
0.15,
0.18,
0.7,
0.34
],
"image_loc": "three groups of 3 balloons each, with '4 m' marked between consecutive groups, upper part of page"
},
{
"n": 41,
"type_id": 2,
"question": "There are red, blue and yellow balls. $$\\frac{1}{12}$$ of the balls are red. $$\\frac{1}{2}$$ of the balls are blue and the rest of the balls are yellow. There are 680 more yellow balls than red balls. How many balls are there altogether? [?]",
"answer0": "2040",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 122,
"difficulty_id": 3,
"explanation": "Red = $$\\frac{1}{12}$$, blue = $$\\frac{1}{2}=\\frac{6}{12}$$, so yellow = $$1-\\frac{1}{12}-\\frac{6}{12}=\\frac{5}{12}$$. Yellow − red = $$\\frac{5}{12}-\\frac{1}{12}=\\frac{4}{12}$$ of the total = 680 balls. So 4 units = 680, 1 unit = 170, and the total of 12 units = 12 × 170 = 2040 balls.",
"hints": [
"Write all fractions over 12: blue = 6/12, yellow = 5/12, red = 1/12.",
"Yellow − red = 4/12 = 680 balls; find 12/12."
],
"source": "SCGS 2023 P4 End of Year Exam Q41",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 4u → 680, 12u → 680 × 3 = 2040."
},
{
"n": 42,
"type_id": 2,
"question": "A swimming pool measures 50 m by 25 m. Find the area of the pavement around the swimming pool as shown by the shaded part. [?]",
"answer0": "896",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 138,
"difficulty_id": 3,
"explanation": "The pavement is 4 m wide along the length and 6 m wide at the ends (from the figure). Outer length = 50 + 4 + 4 = 58 m; outer breadth = 25 + 6 + 6 = 37 m. Big rectangle = 58 × 37 = 2146 m². Pool = 50 × 25 = 1250 m². Pavement = 2146 − 1250 = 896 m².",
"hints": [
"Find the outer rectangle's length and breadth by adding the pavement widths.",
"Pavement area = big rectangle − pool rectangle."
],
"source": "SCGS 2023 P4 End of Year Exam Q42",
"image_needed": true,
"image_options": false,
"image_file": "q42.png",
"notes": "Answer key: outer 58×37=2146, pool 50×25=1250, pavement 2146−1250=896 m². Pavement widths (4 m sides, 6 m ends) come from the figure; image required.",
"image_page": 24,
"image_bbox": [
0.16,
0.2,
0.7,
0.44
],
"image_loc": "shaded border rectangle (pavement) surrounding an inner 'Swimming Pool' rectangle labelled 25 m and 50m, upper part of page"
},
{
"n": 43,
"type_id": 2,
"question": "Sonya had 7 kg of cherries more than Tara. When Sonya gave away 1.5 kg of cherries and Tara gave away 0.5 kg of cherries, Sonya still had 4 times as much as Tara. How many kilograms of cherries did Tara have at first? [?]",
"answer0": "2.5",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 131,
"difficulty_id": 3,
"explanation": "After giving away, Sonya's lead over Tara = 7 − 1.5 + 0.5 = 6 kg. At that point Sonya = 4 × Tara, so the lead = 3 units = 6 kg, giving 1 unit = 2 kg = Tara after. Tara at first = 2 + 0.5 = 2.5 kg.",
"hints": [
"Track the difference after both give cherries away: 7 − 1.5 + 0.5 = 6 kg.",
"Sonya = 4 × Tara means the difference is 3 units; find 1 unit, then add back Tara's 0.5 kg."
],
"source": "SCGS 2023 P4 End of Year Exam Q43",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 7u→1.5 (model), 3u→6, 1u→2, Tara→2+0.5=2.5 kg."
}
]
}