{
"paper": {
"school": "Maha Bodhi",
"year": 2023,
"level": "P4",
"label": "End of Year Exam",
"source_prefix": "Maha Bodhi 2023 P4 End of Year Exam",
"has_answer_key": true
},
"questions": [
{
"n": 1,
"type_id": 1,
"question": "The value of the digit 2 in 72 346 is [?].",
"answer0": "20",
"answer1": "200",
"answer2": "2000",
"answer3": "20 000",
"correct_answer": 2,
"skill_id": 105,
"difficulty_id": 1,
"explanation": "In 72 346 the digit 2 is in the thousands place, so its value is 2 × 1000 = 2000.",
"hints": [
"Identify which place column the digit 2 sits in.",
"Thousands place value = digit × 1000."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q1",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Stem had a trailing blank; rendered as [?] inline. Key Q1=3 (1-based) → index 2."
},
{
"n": 2,
"type_id": 1,
"question": "28 549 rounded to the nearest hundred is [?].",
"answer0": "28 500",
"answer1": "28 550",
"answer2": "28 600",
"answer3": "29 000",
"correct_answer": 0,
"skill_id": 109,
"difficulty_id": 1,
"explanation": "Look at the tens digit (4). Since 4 < 5, round down: 28 549 → 28 500.",
"hints": [
"The hundreds digit is 5; decide using the tens digit.",
"Tens digit 4 is less than 5, so round down."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q2",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key Q2=1 → index 0."
},
{
"n": 3,
"type_id": 1,
"question": "How many one-fifths are there in 3 wholes?",
"answer0": "$$\\frac{3}{5}$$",
"answer1": "$$1\\frac{2}{3}$$",
"answer2": "5",
"answer3": "15",
"correct_answer": 3,
"skill_id": 120,
"difficulty_id": 1,
"explanation": "Each whole contains 5 one-fifths, so 3 wholes = 3 × 5 = 15 one-fifths.",
"hints": [
"1 whole = 5 fifths.",
"Multiply 5 by the number of wholes (3)."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q3",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key Q3=4 → index 3."
},
{
"n": 4,
"type_id": 1,
"question": "Find the value of $$\\frac{5}{12} - \\frac{1}{3}$$.",
"answer0": "$$\\frac{1}{12}$$",
"answer1": "$$\\frac{1}{6}$$",
"answer2": "$$\\frac{1}{3}$$",
"answer3": "$$\\frac{1}{2}$$",
"correct_answer": 0,
"skill_id": 121,
"difficulty_id": 2,
"explanation": "Make the denominators the same: $$\\frac{1}{3} = \\frac{4}{12}$$. Then $$\\frac{5}{12} - \\frac{4}{12} = \\frac{1}{12}$$.",
"hints": [
"Convert $$\\frac{1}{3}$$ to twelfths.",
"$$\\frac{1}{3} = \\frac{4}{12}$$; subtract the numerators."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q4",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key Q4=1 → index 0."
},
{
"n": 5,
"type_id": 1,
"question": "In which of the following numbers does the digit 4 stand for 4 tenths?",
"answer0": "14.53",
"answer1": "23.84",
"answer2": "30.42",
"answer3": "48.06",
"correct_answer": 2,
"skill_id": 123,
"difficulty_id": 2,
"explanation": "4 tenths = 0.4, so the digit 4 must be the first digit after the decimal point. In 30.42 the 4 is in the tenths place.",
"hints": [
"4 tenths means 0.4.",
"Find where the 4 is immediately after the decimal point."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q5",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key Q5=3 → index 2."
},
{
"n": 6,
"type_id": 1,
"question": "Which of the figures in the square grid has both parallel lines and perpendicular lines?",
"answer0": "Figure (1)",
"answer1": "Figure (2)",
"answer2": "Figure (3)",
"answer3": "Figure (4)",
"correct_answer": 2,
"skill_id": 100,
"difficulty_id": 2,
"explanation": "Figure (3) is the X-shaped figure whose lines include a pair that are parallel and a pair that meet at right angles (perpendicular). The other figures lack one of these properties.",
"hints": [
"Parallel lines never meet; perpendicular lines meet at a right angle.",
"Check each figure for BOTH properties at once."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q6",
"image_needed": true,
"image_options": true,
"image_file": "q6.png",
"image_page": 4,
"image_bbox": [
0.13,
0.62,
0.88,
0.8
],
"image_loc": "wide square-grid strip across the page below the question, showing the four labelled option figures (1)-(4)",
"notes": "Image-option MCQ: four grid figures in one strip. Key Q6=3 → index 2."
},
{
"n": 7,
"type_id": 1,
"question": "Arrange the following fractions in order, beginning with the greatest.
$$\\frac{3}{4}$$, $$\\frac{7}{12}$$, $$\\frac{7}{8}$$",
"answer0": "$$\\frac{7}{8}$$, $$\\frac{3}{4}$$, $$\\frac{7}{12}$$",
"answer1": "$$\\frac{7}{12}$$, $$\\frac{7}{8}$$, $$\\frac{3}{4}$$",
"answer2": "$$\\frac{7}{8}$$, $$\\frac{7}{12}$$, $$\\frac{3}{4}$$",
"answer3": "$$\\frac{7}{12}$$, $$\\frac{3}{4}$$, $$\\frac{7}{8}$$",
"correct_answer": 0,
"skill_id": 121,
"difficulty_id": 2,
"explanation": "Use common denominator 24: $$\\frac{3}{4}=\\frac{18}{24}$$, $$\\frac{7}{12}=\\frac{14}{24}$$, $$\\frac{7}{8}=\\frac{21}{24}$$. Greatest to least: $$\\frac{21}{24}, \\frac{18}{24}, \\frac{14}{24}$$ = $$\\frac{7}{8}, \\frac{3}{4}, \\frac{7}{12}$$.",
"hints": [
"Convert all three to a common denominator (24).",
"Compare numerators once denominators match."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q7",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key Q7=1 → index 0."
},
{
"n": 8,
"type_id": 1,
"question": "The area of a square is 100 $$cm^2$$. Find its length.",
"answer0": "10 cm",
"answer1": "20 cm",
"answer2": "25 cm",
"answer3": "40 cm",
"correct_answer": 0,
"skill_id": 137,
"difficulty_id": 1,
"explanation": "Area of a square = length × length. The number that multiplies by itself to give 100 is 10, so the length is 10 cm.",
"hints": [
"Square area = side × side.",
"Which number times itself equals 100?"
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q8",
"image_needed": true,
"image_options": false,
"image_file": "q8.png",
"image_page": 5,
"image_bbox": [
0.27,
0.4,
0.46,
0.52
],
"image_loc": "small square labelled '100 cm2' with a '?' to its right, centred below the question",
"notes": "Key Q8=1 → index 0."
},
{
"n": 9,
"type_id": 1,
"question": "The perimeter of a rectangular piece of cardboard is 40 cm. Its breadth is 8 cm. What is the length of the cardboard?",
"answer0": "5 cm",
"answer1": "12 cm",
"answer2": "24 cm",
"answer3": "32 cm",
"correct_answer": 1,
"skill_id": 136,
"difficulty_id": 2,
"explanation": "Perimeter = 2 × (length + breadth). So length + breadth = 40 ÷ 2 = 20. Length = 20 − 8 = 12 cm.",
"hints": [
"Half the perimeter equals length + breadth.",
"40 ÷ 2 = 20, then subtract the breadth 8."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q9",
"image_needed": true,
"image_options": false,
"image_file": "q9.png",
"image_page": 6,
"image_bbox": [
0.25,
0.14,
0.62,
0.27
],
"image_loc": "rectangle labelled 'Perimeter = 40 cm' inside, '?' on top edge and '8 cm' on right edge",
"notes": "Key Q9=2 → index 1."
},
{
"n": 10,
"type_id": 1,
"question": "Coreen took 50 minutes to complete her work. She finished her work at 12 00. Express her starting time using the 12-hour clock.",
"answer0": "11.10 a.m.",
"answer1": "11.50 a.m.",
"answer2": "12.50 a.m.",
"answer3": "12.50 p.m.",
"correct_answer": 0,
"skill_id": 135,
"difficulty_id": 2,
"explanation": "Finished at 12 00 (noon). Start time = 12 00 − 50 min = 11 10, which is 11.10 a.m.",
"hints": [
"Subtract 50 minutes from 12 00.",
"60 − 50 = 10 minutes before 12, so 11.10."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q10",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key Q10=1 → index 0."
},
{
"n": 11,
"type_id": 1,
"question": "What is 190 tens more than 79 090?",
"answer0": "70 990",
"answer1": "79 280",
"answer2": "80 280",
"answer3": "80 990",
"correct_answer": 3,
"skill_id": 105,
"difficulty_id": 2,
"explanation": "190 tens = 190 × 10 = 1900. So 79 090 + 1900 = 80 990.",
"hints": [
"First work out what 190 tens equals.",
"190 × 10 = 1900; add it to 79 090."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q11",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key Q11=4 → index 3."
},
{
"n": 12,
"type_id": 1,
"question": "Find the sum of 0.35 and 4 tenths.",
"answer0": "0.39",
"answer1": "0.75",
"answer2": "4.35",
"answer3": "40.35",
"correct_answer": 1,
"skill_id": 129,
"difficulty_id": 1,
"explanation": "4 tenths = 0.4. Sum = 0.35 + 0.4 = 0.75.",
"hints": [
"Write 4 tenths as a decimal (0.4).",
"Add 0.35 + 0.4."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q12",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key Q12=2 → index 1."
},
{
"n": 13,
"type_id": 1,
"question": "A tree is 5.9 m when its height is rounded to 1 decimal place. Which of the following could be the actual height of the tree?",
"answer0": "5.84 m",
"answer1": "5.88 m",
"answer2": "5.95 m",
"answer3": "5.99 m",
"correct_answer": 1,
"skill_id": 128,
"difficulty_id": 2,
"explanation": "To round to 5.9, the value must be from 5.85 up to (but not including) 5.95. Only 5.88 lies in this range (5.84 rounds to 5.8; 5.95 and 5.99 round to 6.0).",
"hints": [
"A value rounds to 5.9 if it is at least 5.85 and below 5.95.",
"Check each option against that range."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q13",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key Q13=2 → index 1."
},
{
"n": 14,
"type_id": 1,
"question": "Kumar is facing south-west. He makes a $$\\frac{3}{4}$$-turn in a clockwise direction. Then, he turns through an angle of 45° in an anti-clockwise direction. Which direction will he end up facing?",
"answer0": "North",
"answer1": "South",
"answer2": "East",
"answer3": "West",
"correct_answer": 2,
"skill_id": 452,
"difficulty_id": 3,
"explanation": "A $$\\frac{3}{4}$$-turn = 270° clockwise. From south-west, 270° clockwise lands on south-east. Then 45° anti-clockwise from south-east goes back to east.",
"hints": [
"$$\\frac{3}{4}$$-turn = 270°; each compass step is 45°.",
"SW → 270° clockwise → SE → 45° anti-clockwise → East."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q14",
"image_needed": true,
"image_options": false,
"image_file": "q14.png",
"image_page": 7,
"image_bbox": [
0.25,
0.56,
0.62,
0.78
],
"image_loc": "8-point compass diagram (North/NE/East/SE/South/SW/West/NW) centred below the question",
"notes": "8-point compass (skill 452). Key Q14=3 → index 2."
},
{
"n": 15,
"type_id": 1,
"question": "Allison drew a four-sided figure with the properties:
It has two pairs of parallel lines.
All of its angles are right angles.
All of the sides are equal.
Which figure fits these properties?",
"answer0": "Figure A",
"answer1": "Figure B",
"answer2": "Figure C",
"answer3": "Figure D",
"correct_answer": 2,
"skill_id": 143,
"difficulty_id": 2,
"explanation": "The figure with equal sides AND all right angles is a square. Figure C is the square (drawn as a tilted square on the grid). Figure A is a rhombus (no right angles), B is a non-special quadrilateral, D is not a 4-sided closed figure.",
"hints": [
"Equal sides + right angles describes a square.",
"Find the figure that is a square among A-D."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q15",
"image_needed": true,
"image_options": true,
"image_file": "q15.png",
"image_page": 8,
"image_bbox": [
0.12,
0.26,
0.86,
0.68
],
"image_loc": "four labelled grid figures A, B, C, D arranged in a 2x2 block below the property box",
"notes": "Image-option MCQ; four grid figures A-D. Key Q15=3 → index 2."
},
{
"n": 16,
"type_id": 1,
"question": "The two rectangles have the same area. What is the length of Rectangle B?",
"answer0": "15 cm",
"answer1": "21 cm",
"answer2": "38 cm",
"answer3": "40 cm",
"correct_answer": 1,
"skill_id": 136,
"difficulty_id": 2,
"explanation": "Area of A = 7 × 12 = 84 $$cm^2$$. Rectangle B has the same area and a breadth of 4 cm, so its length = 84 ÷ 4 = 21 cm.",
"hints": [
"Find the area of Rectangle A first (7 × 12).",
"Divide that area by Rectangle B's breadth (4 cm)."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q16",
"image_needed": true,
"image_options": false,
"image_file": "q16.png",
"image_page": 9,
"image_bbox": [
0.18,
0.13,
0.83,
0.31
],
"image_loc": "two rectangles: tall Rectangle A (7 cm wide, 12 cm tall) on the left, long Rectangle B (4 cm tall, '?' length) on the right",
"notes": "Key Q16=2 → index 1."
},
{
"n": 17,
"type_id": 1,
"question": "The figure shows a rectangle. Four squares of sides 3 cm are cut from the corners of the rectangle. What is the area of the remaining figure?",
"answer0": "36 $$cm^2$$",
"answer1": "74 $$cm^2$$",
"answer2": "264 $$cm^2$$",
"answer3": "300 $$cm^2$$",
"correct_answer": 2,
"skill_id": 138,
"difficulty_id": 2,
"explanation": "Rectangle area = 25 × 12 = 300 $$cm^2$$. Each corner square = 3 × 3 = 9 $$cm^2$$; four of them = 36 $$cm^2$$. Remaining area = 300 − 36 = 264 $$cm^2$$.",
"hints": [
"Find the full rectangle area (25 × 12).",
"Subtract the four 3×3 corner squares (4 × 9)."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q17",
"image_needed": true,
"image_options": false,
"image_file": "q17.png",
"image_page": 9,
"image_bbox": [
0.25,
0.52,
0.7,
0.78
],
"image_loc": "rectangle 25 cm wide by 12 cm tall with dashed 3 cm squares marked at each of the four corners",
"notes": "Key Q17=3 → index 2."
},
{
"n": 18,
"type_id": 1,
"question": "The bar graph shows the number of cupcakes sold by a baker in one morning. She bakes 40 cupcakes of each flavour. Which of the following statements is true?",
"answer0": "She sold twice as many strawberry cupcakes as blueberry cupcakes.",
"answer1": "She sold the same number of chocolate and vanilla cupcakes.",
"answer2": "She had more blueberry cupcakes than vanilla cupcakes left.",
"answer3": "She had the most number of strawberry cupcakes left.",
"correct_answer": 3,
"skill_id": 104,
"difficulty_id": 2,
"explanation": "Sold: Blueberry 36, Chocolate 29, Strawberry 18, Vanilla 30. Left (40 − sold): Blueberry 4, Chocolate 11, Strawberry 22, Vanilla 10. Strawberry has the most left (22), so statement (4) is true.",
"hints": [
"Left over = 40 − number sold for each flavour.",
"Compare the leftovers; strawberry sold the fewest so has the most left."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q18",
"image_needed": true,
"image_options": false,
"image_file": "q18.png",
"image_page": 10,
"image_bbox": [
0.13,
0.18,
0.86,
0.52
],
"image_loc": "bar graph 'Different Flavours of Cupcakes Sold' with bars for Blueberry, Chocolate, Strawberry, Vanilla (y-axis 0-40)",
"notes": "Bars: Blueberry 36, Chocolate 29, Strawberry 18, Vanilla 30. Key Q18=4 → index 3."
},
{
"n": 19,
"type_id": 1,
"question": "The line graph shows the amount of rainfall recorded in Singapore from January to May in a certain year. During which 1-month interval was there an increase of 30 cm in the amount of rainfall recorded?",
"answer0": "From January to February",
"answer1": "From February to March",
"answer2": "From March to April",
"answer3": "From April to May",
"correct_answer": 1,
"skill_id": 147,
"difficulty_id": 2,
"explanation": "Readings: Jan 230, Feb 140, Mar 170, Apr 140, May 180. Feb→Mar increases by 170 − 140 = 30 cm, the only interval with a +30 cm increase.",
"hints": [
"An 'increase' means the line goes up; rule out the down intervals.",
"Feb (140) to Mar (170) is +30 cm."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q19",
"image_needed": true,
"image_options": false,
"image_file": "q19.png",
"image_page": 11,
"image_bbox": [
0.16,
0.17,
0.83,
0.43
],
"image_loc": "line graph 'Amount of Rainfall Recorded in Singapore', months Jan-May on x-axis, rainfall (cm) 80-240 on y-axis",
"notes": "Points: Jan 230, Feb 140, Mar 170, Apr 140, May 180. Key Q19=2 → index 1."
},
{
"n": 20,
"type_id": 1,
"question": "The bar graph shows the number of pupils playing at the Parade Square during the Primary 4 recess in the week. Which of the following shows the possible number of pupils playing at the Parade Square on Wednesday and Thursday?",
"answer0": "Wednesday 25, Thursday 40",
"answer1": "Wednesday 25, Thursday 48",
"answer2": "Wednesday 32, Thursday 40",
"answer3": "Wednesday 32, Thursday 48",
"correct_answer": 1,
"skill_id": 104,
"difficulty_id": 3,
"explanation": "Gridlines mark 0, 30 and 60. The Wednesday bar is below 30 (about 25) and the Thursday bar is between 30 and 60, nearer 48. The pair that fits is Wednesday 25 and Thursday 48.",
"hints": [
"Read each bar against the 0/30/60 gridlines.",
"Wednesday is just under 30; Thursday is well above 30 but below 60."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q20",
"image_needed": true,
"image_options": false,
"image_file": "q20.png",
"image_page": 12,
"image_bbox": [
0.16,
0.18,
0.8,
0.46
],
"image_loc": "bar graph 'Pupils Playing at the Parade Square', days Mon-Fri on x-axis, number of pupils (0/30/60) on y-axis",
"notes": "Read-from-graph MCQ. Key Q20=2 → index 1."
},
{
"n": 21,
"type_id": 2,
"question": "Write six thousand and eight in figures.
[?]",
"answer0": "6008",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 106,
"difficulty_id": 1,
"explanation": "Six thousand = 6000, and eight = 8 in the ones place (no hundreds or tens). So 6000 + 8 = 6008.",
"hints": [
"Six thousand is 6000.",
"Place the 8 in the ones column with zeros for hundreds and tens."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q21",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key 21) 6008."
},
{
"n": 22,
"type_id": 2,
"question": "Measure and write down the size of $$\\angle x$$.
[?]°",
"answer0": "138",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 140,
"difficulty_id": 2,
"explanation": "Using a protractor, the angle x measures 138°.",
"hints": [
"Place the protractor centre on the vertex of angle x.",
"Read the scale that starts from the baseline (0°)."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q22",
"image_needed": true,
"image_options": false,
"image_file": "q22.png",
"image_page": 15,
"image_bbox": [
0.3,
0.39,
0.72,
0.57
],
"image_loc": "obtuse angle drawn with one ray sloping up-left and a horizontal base ray, marked x at the vertex",
"notes": "Answer must be measured from the figure; key 22) 138°. Answer stored plain (138); degree symbol kept in stem."
},
{
"n": 23,
"type_id": 2,
"question": "$$\\frac{3}{4} = \\frac{9}{[?]}$$
What is the missing number in the box?",
"answer0": "12",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 80,
"difficulty_id": 1,
"explanation": "The numerator 3 was multiplied by 3 to get 9, so multiply the denominator the same way: 4 × 3 = 12.",
"hints": [
"3 × what = 9? That factor is 3.",
"Multiply the denominator 4 by the same factor."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q23",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Equivalent-fraction fill-in; key 23) 12."
},
{
"n": 24,
"type_id": 2,
"question": "5.3 − 0.61 = [?]",
"answer0": "4.69",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 129,
"difficulty_id": 1,
"explanation": "Write 5.3 as 5.30, then subtract: 5.30 − 0.61 = 4.69.",
"hints": [
"Line up the decimal points (5.30 − 0.61).",
"Subtract column by column."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q24",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key 24) 4.69."
},
{
"n": 25,
"type_id": 2,
"question": "What is the remainder when 1120 is divided by 9?
[?]",
"answer0": "4",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 117,
"difficulty_id": 2,
"explanation": "1120 ÷ 9 = 124 remainder 4, since 9 × 124 = 1116 and 1120 − 1116 = 4.",
"hints": [
"Find the largest multiple of 9 not exceeding 1120.",
"9 × 124 = 1116; the remainder is 1120 − 1116."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q25",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key 25) 4."
},
{
"n": 26,
"type_id": 2,
"question": "Arrange these numbers from the smallest to the greatest.
0.784, 8.4, 0.804, 0.095
[?], [?], [?], [?]",
"answer0": "0.095",
"answer1": "0.784",
"answer2": "0.804",
"answer3": "8.4",
"correct_answer": null,
"skill_id": 124,
"difficulty_id": 2,
"explanation": "Compare whole-number parts first: 8.4 is largest. Among the others (all 0.something) compare tenths: 0.095 (0 tenths) < 0.784 < 0.804. Order: 0.095, 0.784, 0.804, 8.4.",
"hints": [
"8.4 is the only number with a whole part greater than 0.",
"For the rest, compare the tenths then hundredths digits."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q26",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Ordering task → 4-blank FIB. Key 26) 0.095, 0.784, 0.804, 8.4."
},
{
"n": 27,
"type_id": 2,
"question": "Some factors of 32 are 1, 2, 8 and 32. What are the other two factors of 32?
[?] and [?]",
"answer0": "4",
"answer1": "16",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 111,
"difficulty_id": 2,
"explanation": "The factors of 32 are 1, 2, 4, 8, 16, 32. The two not listed are 4 and 16 (4 × 8 = 32, 2 × 16 = 32).",
"hints": [
"List all numbers that divide 32 exactly.",
"Pair them: 1×32, 2×16, 4×8 — the missing ones are 4 and 16."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q27",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Two-blank FIB. Key 27) 16 and 4 (order interchangeable)."
},
{
"n": 28,
"type_id": 2,
"question": "Find the value of 7.52 × 8.
[?]",
"answer0": "60.16",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 130,
"difficulty_id": 2,
"explanation": "7.52 × 8 = 60.16 (752 × 8 = 6016, then place two decimal places).",
"hints": [
"Multiply as if 752 × 8 = 6016.",
"Put back two decimal places: 60.16."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q28",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key 28) 60.16."
},
{
"n": 29,
"type_id": 2,
"question": "Which two fractions are in the simplest form?
$$\\frac{3}{9}$$, $$\\frac{2}{5}$$, $$\\frac{2}{6}$$, $$\\frac{3}{8}$$
[?] and [?]",
"answer0": "2/5",
"answer1": "3/8",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 78,
"difficulty_id": 2,
"explanation": "A fraction is in simplest form when numerator and denominator share no common factor other than 1. $$\\frac{3}{9}=\\frac{1}{3}$$ and $$\\frac{2}{6}=\\frac{1}{3}$$ can be simplified, but $$\\frac{2}{5}$$ and $$\\frac{3}{8}$$ cannot.",
"hints": [
"Check whether each fraction can be reduced.",
"$$\\frac{3}{9}$$ and $$\\frac{2}{6}$$ both reduce to $$\\frac{1}{3}$$."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q29",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Two-blank FIB; answers PLAIN a/b for input. Key 29) 2/5 and 3/8."
},
{
"n": 30,
"type_id": 2,
"question": "The table shows the number of pens and files sold at a school bookshop in a week. On which day was the difference between the number of pens sold and the number of files sold the greatest?
[?]",
"answer0": "Thursday",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 147,
"difficulty_id": 2,
"explanation": "Differences (pens − files): Mon 20−8=12, Tue 12−8=4, Wed 15−4=11, Thu 18−5=13, Fri 10−6=4. The greatest is 13 on Thursday.",
"hints": [
"Find pens minus files for each day.",
"Thursday gives the biggest gap (18 − 5 = 13)."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q30",
"image_needed": true,
"image_options": false,
"image_file": "q30.png",
"image_page": 18,
"image_bbox": [
0.16,
0.15,
0.84,
0.31
],
"image_loc": "table with rows Monday-Friday and columns 'Number of pens sold' (20,12,15,18,10) and 'Number of files sold' (8,8,4,5,6)",
"notes": "Word answer Thursday — kept as FIB since the key writes a single definite word; exact-match expected. Key 30) Thursday."
},
{
"n": 31,
"type_id": 2,
"question": "Use all the digits given to form the greatest odd number.
2, 9, 4, 8, 5
[?]",
"answer0": "98425",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 107,
"difficulty_id": 2,
"explanation": "For the greatest odd number, the ones digit must be the smallest available odd digit (5). Arrange the remaining digits 9, 8, 4, 2 in descending order in front: 9842, giving 98 425.",
"hints": [
"The number is odd, so it must end in an odd digit (5 here).",
"Put the largest remaining digits first: 9, 8, 4, 2."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q31",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Digit cards 2,9,4,8,5 transcribed inline. Key 31) 98425."
},
{
"n": 32,
"type_id": 2,
"question": "Mrs Lee mixed 1.4 $$l$$ of orange syrup with 3.16 $$l$$ of water. She poured the mixture equally into 4 bottles. How many litres of the mixture were there in each bottle?
[?]",
"answer0": "1.14",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 131,
"difficulty_id": 2,
"explanation": "Total mixture = 1.4 + 3.16 = 4.56 $$l$$. Shared equally into 4 bottles: 4.56 ÷ 4 = 1.14 $$l$$ each.",
"hints": [
"Add the two volumes to get the total mixture.",
"Divide the total by 4 bottles."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q32",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer in litres; key 32) 4.56 ÷ 4 = 1.14 L."
},
{
"n": 33,
"type_id": 2,
"question": "The mass of 4 similar boxes was 5.04 kg. 2 boxes were removed. What was the mass of the new stack of boxes?
[?]",
"answer0": "2.52",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 131,
"difficulty_id": 2,
"explanation": "Removing 2 of the 4 identical boxes leaves half the mass: 5.04 ÷ 2 = 2.52 kg.",
"hints": [
"2 boxes is half of 4 boxes.",
"Half of 5.04 kg = 5.04 ÷ 2."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q33",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer in kg; key 33) 5.04 ÷ 2 = 2.52 kg."
},
{
"n": 34,
"type_id": 2,
"question": "In the figure, the dotted line XY is a line of symmetry. Name the three squares that need to be shaded to make the figure symmetrical.
Squares [?], [?], [?]",
"answer0": "A",
"answer1": "E",
"answer2": "C",
"correct_answer": null,
"skill_id": 145,
"difficulty_id": 3,
"explanation": "For symmetry about XY, each shaded square on one side must have its mirror image shaded on the other side. The squares whose mirror partners are already shaded — but which are themselves unshaded — are A, E and C; shading these completes the symmetry.",
"hints": [
"Reflect each shaded square across the line XY.",
"Find the unshaded squares that should mirror an already-shaded one."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q34",
"image_needed": true,
"image_options": false,
"image_file": "q34.png",
"image_page": 20,
"image_bbox": [
0.27,
0.18,
0.65,
0.5
],
"image_loc": "diamond grid of small squares with some shaded black, dashed vertical line of symmetry XY, lettered squares A-F",
"notes": "Three-blank FIB (letters), exact-match. Key 34) A, E, C (order interchangeable)."
},
{
"n": 35,
"type_id": 0,
"question": "In the square grid, Line PQ has been drawn. (a) Draw a line that is perpendicular to the line PQ passing through point A. (b) Draw a line that is parallel to the line PQ through point B.",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 101,
"difficulty_id": 2,
"explanation": "(a) Through A draw a line at right angles to PQ (perpendicular). (b) Through B draw a line going the same direction as PQ (parallel, never meeting). See the answer-key figure for the drawn lines.",
"hints": [
"Perpendicular lines cross at a right angle (90°).",
"Parallel lines have the same slope and never meet."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q35",
"image_needed": true,
"image_options": false,
"image_file": "q35.png",
"image_page": 21,
"image_bbox": [
0.16,
0.16,
0.8,
0.46
],
"image_loc": "square grid with diagonal line PQ drawn, plus marked points A (lower) and B (right)",
"notes": "type_id 0 — draw-on-grid task, cannot be a value/sequence answer. SKIPPED on insert. Answer: draw perpendicular through A and parallel through B (see answer key Pg2 #35)."
},
{
"n": 36,
"type_id": 0,
"question": "Benny is thinking of a two-digit number. The digit in its ones place is twice the digit in its tens place. Indicate with a tick whether the following statements about the two-digit number are true or false.
The number is an even number.
The number can be divided exactly by 5.",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 33,
"difficulty_id": 2,
"explanation": "If the ones digit is twice the tens digit (e.g. 12, 24, 36, 48), the ones digit is always even, so the number is even — True. Such numbers never end in 0 or 5, so they cannot be divided exactly by 5 — False.",
"hints": [
"The ones digit is double the tens digit, so it is always even.",
"A number divisible by 5 must end in 0 or 5."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q36",
"image_needed": true,
"image_options": false,
"image_file": "q36.png",
"image_page": 21,
"image_bbox": [
0.16,
0.66,
0.84,
0.76
],
"image_loc": "true/false table with two statement rows and 'True'/'False' tick columns",
"notes": "type_id 0 — tick true/false table, no app type. SKIPPED on insert. Answers: Even = True; divisible by 5 = False (key 36)."
},
{
"n": 37,
"type_id": 2,
"question": "A fruit seller had 170 pears and oranges altogether. After he sold $$\\frac{2}{3}$$ of the pears and 14 oranges, he had an equal number of pears and oranges left. How many oranges were there in the end?
[?]",
"answer0": "39",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 122,
"difficulty_id": 3,
"explanation": "After selling, pears left = $$\\frac{1}{3}$$ of pears and oranges left = oranges − 14, and these two are equal. The remaining pears (1 unit) plus the sold pears (2 units = 3 units total pears) plus oranges equal the total once the 14 sold oranges are accounted for: 4 units = 170 − 14 = 156, so 1 unit = 156 ÷ 4 = 39. The oranges left equal the remaining pears = 39.",
"hints": [
"Let the pears be 3 units; $$\\frac{2}{3}$$ sold leaves 1 unit.",
"After removing 14 oranges, 4 equal units make up 170 − 14 = 156."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q37",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key 37) 4 units = 170 − 14 = 156; 1 unit = 39. Oranges in the end = 39."
},
{
"n": 38,
"type_id": 2,
"question": "The figure is made up of 2 rectangles, ABEF and BCDE. $$\\angle AEB = 26°$$ and $$\\angle BEG$$ is twice of $$\\angle AEB$$. Find $$\\angle GED$$.
[?]°",
"answer0": "38",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 194,
"difficulty_id": 3,
"explanation": "BE is perpendicular to the line FED, so $$\\angle BED = 90°$$. $$\\angle BEG = 2 × 26° = 52°$$. Then $$\\angle GED = 90° − 52° = 38°$$.",
"hints": [
"$$\\angle BED$$ is a right angle (90°) since BE is vertical.",
"$$\\angle GED = 90° − \\angle BEG$$, and $$\\angle BEG = 2 × 26°$$."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q38",
"image_needed": true,
"image_options": false,
"image_file": "q38.png",
"image_page": 22,
"image_bbox": [
0.24,
0.55,
0.58,
0.78
],
"image_loc": "two joined rectangles ABEF and BCDE; lines from E to A and E to G; 26° marked at E",
"notes": "Answer in degrees; key 38) BEG=52°, 90−52=38°."
},
{
"n": 39,
"type_id": 2,
"question": "The figure is made up of 2 identical rectangles and 1 square. The length of the rectangle is 18 cm. The area of the square is 64 $$cm^2$$. Find the perimeter of the figure.
[?]",
"answer0": "84",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 138,
"difficulty_id": 3,
"explanation": "The square has area 64 $$cm^2$$, so its side = 8 cm, which is also the breadth of each rectangle. Tracing the outline: 18 + 8 + 8 + 8 + 18 + 8 + 8 + 8 = 84 cm.",
"hints": [
"Square side = the number that times itself gives 64 (which is 8).",
"Add all the outer edges of the figure (the dashed inner lines are not part of the perimeter)."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q39",
"image_needed": true,
"image_options": false,
"image_file": "q39.png",
"image_page": 23,
"image_bbox": [
0.16,
0.14,
0.46,
0.3
],
"image_loc": "L-shaped figure of two identical rectangles and a square; top edge labelled 18 cm, dashed internal lines shown",
"notes": "Answer in cm; key 39) total = 84 cm."
},
{
"n": 40,
"type_id": 2,
"question": "The bar graph shows the number of pets a class of pupils has at home. How many pets do the pupils have altogether?
[?]",
"answer0": "49",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 148,
"difficulty_id": 2,
"explanation": "Multiply the number of pets by how many pupils have that many: (0 × 11) + (1 × 14) + (2 × 13) + (3 × 3) = 0 + 14 + 26 + 9 = 49 pets.",
"hints": [
"Read each bar: 0 pets→11 pupils, 1→14, 2→13, 3→3.",
"Multiply pets by pupils for each bar, then add."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q40",
"image_needed": true,
"image_options": false,
"image_file": "q40.png",
"image_page": 23,
"image_bbox": [
0.18,
0.48,
0.82,
0.74
],
"image_loc": "bar graph 'Number of Pets The Pupils Have', x-axis 0,1,2,3 pets, y-axis 0-16 number of pupils",
"notes": "Bars: 0→11, 1→14, 2→13, 3→3. Key 40) 14+26+9 = 49."
},
{
"n": 41,
"type_id": 2,
"question": "The table shows the programme for the Children's Day celebration.
(a) How long did the whole Children's Day celebration programme last?
(b) What was the total duration of the Form Teachers' performances?
(a) [?]
(b) [?]",
"answer0": "1 h 20 min",
"answer1": "35 min",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 135,
"difficulty_id": 2,
"explanation": "(a) The programme runs from 07 30 to 08 50, a duration of 1 h 20 min (30 min to 08 00 + 40 min + 10 min). (b) Form Teachers' performances: P4 (08 00–08 10) = 10 min, P5 (08 10–08 25) = 15 min, P6 (08 40–08 50) = 10 min; total = 35 min.",
"hints": [
"(a) Find the time from the start (07 30) to the end (08 50).",
"(b) Add only the three Form Teachers' performance slots (10 + 15 + 10)."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q41",
"image_needed": true,
"image_options": false,
"image_file": "q41.png",
"image_page": 24,
"image_bbox": [
0.16,
0.24,
0.84,
0.46
],
"image_loc": "Children's Day Celebration Programme timetable: time ranges 07 30 to 08 50 with each activity",
"notes": "Two-part time problem → 2-blank FIB. Key 41a) 1h 20min; 41b) 35min."
},
{
"n": 42,
"type_id": 2,
"question": "At a bakery, muffins are sold at these prices: 1 for $1.40, 6 for $5.70, 10 for $8.90. Nareen wants to order 57 muffins for a birthday party. What is the least amount of money she will need to pay for the muffins?
[?]",
"answer0": "$51.60",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 131,
"difficulty_id": 3,
"explanation": "Cheapest per muffin is the 10-for-$8.90 deal. Buy 50 muffins = 5 × $8.90 = $44.50. The remaining 7: cheaper to buy 6 for $5.70 then 1 for $1.40. Total = $44.50 + $5.70 + $1.40 = $51.60.",
"hints": [
"Use the bulk (10 for $8.90) deal as much as possible.",
"For the leftover 7, combine the 6-pack and a single muffin."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q42",
"image_needed": true,
"image_options": false,
"image_file": "q42.png",
"image_page": 25,
"image_bbox": [
0.12,
0.11,
0.87,
0.3
],
"image_loc": "'Muffins on Sale!' poster with three price labels: 1 for $1.40, 6 for $5.70, 10 for $8.90 with muffin pictures",
"notes": "Money word problem. Key 42) 50→$44.50, +6 →$50.20, +1 →$51.60. Answer stored with $."
},
{
"n": 43,
"type_id": 2,
"question": "There were some sweets in a box. Evelyn took $$\\frac{5}{8}$$ of the sweets and Nigel took the rest. Evelyn took 76 more sweets than Nigel.
(a) What fraction of the sweets did Nigel take?
(b) How many sweets were in the box at first?
(a) [?]
(b) [?]",
"answer0": "3/8",
"answer1": "304",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 122,
"difficulty_id": 3,
"explanation": "(a) Nigel took 1 − $$\\frac{5}{8}$$ = $$\\frac{3}{8}$$. (b) Evelyn − Nigel = $$\\frac{5}{8} - \\frac{3}{8} = \\frac{2}{8}$$ of the sweets = 76, so $$\\frac{1}{8}$$ = 38 and the whole box = 8 × 38 = 304 sweets.",
"hints": [
"(a) The whole is $$\\frac{8}{8}$$; subtract Evelyn's $$\\frac{5}{8}$$.",
"(b) The difference $$\\frac{2}{8}$$ equals 76 sweets; find $$\\frac{1}{8}$$ then ×8."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q43",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Two-part fraction problem → 2-blank FIB. (a) fraction PLAIN 3/8. Key 43a) 3/8; 43b) 304."
},
{
"n": 44,
"type_id": 2,
"question": "John and Peter had a total of $540. After John gave Peter $40, he had five times as much money as Peter.
(a) How much money did Peter have in the end?
(b) How much money did John have at first?
(a) [?]
(b) [?]",
"answer0": "$90",
"answer1": "$490",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 118,
"difficulty_id": 3,
"explanation": "The total stays $540. In the end John = 5 units and Peter = 1 unit, so 6 units = $540 and 1 unit = $90. (a) Peter has $90 in the end. (b) John had $490 at first ($90 × 5 = $450 at the end, plus the $40 he gave away = $490).",
"hints": [
"The total $540 does not change when money is just moved.",
"End: John : Peter = 5 : 1, so 6 units = $540."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q44",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Two-part money model → 2-blank FIB. Key 44a) 6units=540, 1unit=$90; 44b) John end 5×90=450, +40 given = $490. Answers stored with $."
},
{
"n": 45,
"type_id": 2,
"question": "In a library, there were English, Chinese and Malay books. The number of English and Chinese books was 720. The English books were twice as many as the Chinese books and three times as many as the Malay books. Find the total number of books in the library.
[?]",
"answer0": "880",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 118,
"difficulty_id": 3,
"explanation": "Let Chinese = 3 units, then English = 6 units (twice Chinese). English + Chinese = 9 units = 720, so 1 unit = 80. Malay = English ÷ 3 = 6 ÷ 3 = 2 units. Total = 9 + 2 = 11 units = 11 × 80 = 880 books.",
"hints": [
"Make English a multiple of both 2 (Chinese) and 3 (Malay): use 6 units.",
"English + Chinese = 9 units = 720; then add the 2-unit Malay total."
],
"source": "Maha Bodhi 2023 P4 End of Year Exam Q45",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key 45) 9units=720, 1unit=80, 11units=880."
}
]
}