{ "paper": { "school": "Maha Bodhi", "year": 2022, "level": "P4", "label": "Semestral Assessment 1", "source_prefix": "Maha Bodhi 2022 P4 Semestral Assessment 1", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "What is the value of the digit 4 in 24 780?", "answer0": "40", "answer1": "400", "answer2": "4000", "answer3": "40 000", "correct_answer": 2, "skill_id": 105, "difficulty_id": 1, "explanation": "In 24 780 the digit 4 is in the thousands place, so its value is 4 x 1000 = 4000.", "hints": ["Identify which place the digit 4 sits in.", "Place value = digit x place: 4 x 1000."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = option 3 (0-based index 2)." }, { "n": 2, "type_id": 1, "question": "In which of the following are the numbers arranged from the greatest to the smallest?", "answer0": "4780 , 4078 , 4708", "answer1": "4780 , 4708 , 4078", "answer2": "4078 , 4780 , 4708", "answer3": "4078 , 4708 , 4780", "correct_answer": 1, "skill_id": 107, "difficulty_id": 2, "explanation": "Order from greatest to smallest: 4780, 4708, 4078. Compare hundreds and tens digits since thousands are equal. Option 2 lists them correctly.", "hints": ["All four numbers share the same thousands digit (4).", "Compare the next digit, then the next, to order them."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = option 2 (0-based index 1)." }, { "n": 3, "type_id": 1, "question": "Round 74 454 to the nearest hundred.", "answer0": "74 000", "answer1": "74 400", "answer2": "74 450", "answer3": "74 500", "correct_answer": 3, "skill_id": 109, "difficulty_id": 2, "explanation": "The tens digit of 74 454 is 5, so round the hundreds up: 74 454 rounds to 74 500.", "hints": ["Look at the tens digit to decide rounding.", "Tens digit is 5, so round up."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = option 4 (0-based index 3)." }, { "n": 4, "type_id": 1, "question": "How many sevenths are there in 4 5/7?", "answer0": "5", "answer1": "7", "answer2": "33", "answer3": "63", "correct_answer": 2, "skill_id": 119, "difficulty_id": 2, "explanation": "Convert 4 5/7 to an improper fraction: 4 x 7 + 5 = 33, giving 33/7. So there are 33 sevenths.", "hints": ["Convert the mixed number to an improper fraction over 7.", "Multiply whole number by denominator, add numerator."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = option 3 (0-based index 2)." }, { "n": 5, "type_id": 1, "question": "Which one of the following is an equivalent fraction of 4/9?", "answer0": "13/36", "answer1": "13/45", "answer2": "16/81", "answer3": "36/81", "correct_answer": 3, "skill_id": 77, "difficulty_id": 2, "explanation": "Multiply numerator and denominator of 4/9 by 9: (4x9)/(9x9) = 36/81. So 36/81 is equivalent to 4/9.", "hints": ["Try multiplying 4/9 top and bottom by the same number.", "9 x 9 = 81 in the denominator."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = option 4 (0-based index 3). Skill 77 (equivalent fractions, P3 track) closest; no dedicated P4 equivalent-fraction skill." }, { "n": 6, "type_id": 1, "question": "Which angle is greater than a right angle?", "answer0": "angle a", "answer1": "angle b", "answer2": "angle c", "answer3": "angle d", "correct_answer": 3, "skill_id": 140, "difficulty_id": 2, "explanation": "Angle d is the reflex-looking interior angle marked with the large arc; it is obtuse (greater than 90 degrees), while a, b and c are acute. So angle d is greater than a right angle.", "hints": ["A right angle is 90 degrees (a square corner).", "Look for the widest opening among the marked angles."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q6", "image_needed": true, "image_options": false, "image_file": "q6.png", "image_page": 4, "image_bbox": [0.22, 0.62, 0.62, 0.82], "image_loc": "triangle diagram with angles a, b, c, d below the question", "notes": "Key = option 4 (0-based index 3, angle d)." }, { "n": 7, "type_id": 1, "question": "Which one of the following lines is the line of symmetry for the figure?", "answer0": "AB", "answer1": "CD", "answer2": "EF", "answer3": "GH", "correct_answer": 0, "skill_id": 145, "difficulty_id": 2, "explanation": "The figure (a triangle of shaded triangles) is symmetric about the vertical line AB through apex A and base midpoint B. Folding along AB matches the two halves.", "hints": ["A line of symmetry folds the figure onto itself exactly.", "The figure is left-right symmetric about the vertical line."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q7", "image_needed": true, "image_options": false, "image_file": "q7.png", "image_page": 5, "image_bbox": [0.30, 0.14, 0.66, 0.34], "image_loc": "triangular figure with lines AB, CD, EF, GH below the question", "notes": "Key = option 1 (0-based index 0, line AB)." }, { "n": 8, "type_id": 1, "question": "Identify the line that is parallel to line LM.", "answer0": "HI", "answer1": "JI", "answer2": "MN", "answer3": "JK", "correct_answer": 0, "skill_id": 100, "difficulty_id": 2, "explanation": "On the grid, line HI has the same slope (gradient) as line LM and never meets it, so HI is parallel to LM.", "hints": ["Parallel lines have the same slant on the grid.", "Count the grid steps to compare slopes."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q8", "image_needed": true, "image_options": false, "image_file": "q8.png", "image_page": 5, "image_bbox": [0.30, 0.56, 0.66, 0.80], "image_loc": "square grid with points H, I, J, K, L, M, N below the question", "notes": "Key = option 1 (0-based index 0, line HI). Skill 100 (perpendicular/parallel lines, P3 track) closest; no P4 parallel-line skill." }, { "n": 9, "type_id": 1, "question": "Which of the following is a factor of 24 and a multiple of 4?", "answer0": "6", "answer1": "2", "answer2": "12", "answer3": "96", "correct_answer": 2, "skill_id": 111, "difficulty_id": 2, "explanation": "Factors of 24 are 1,2,3,4,6,8,12,24. Among the options, 12 is a factor of 24 and also a multiple of 4 (4x3=12). 6 is a factor but not a multiple of 4; 96 is a multiple of 4 but not a factor of 24.", "hints": ["List the factors of 24.", "Of those, which is also in the 4 times table?"], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = option 3 (0-based index 2)." }, { "n": 10, "type_id": 1, "question": "Find the sum of the common factors of 28 and 56.", "answer0": "14", "answer1": "28", "answer2": "55", "answer3": "56", "correct_answer": 3, "skill_id": 113, "difficulty_id": 3, "explanation": "Factors of 28: 1,2,4,7,14,28. All of these also divide 56, so the common factors are 1,2,4,7,14,28. Their sum is 1+2+4+7+14+28 = 56.", "hints": ["The common factors of 28 and 56 are just the factors of 28.", "Add 1+2+4+7+14+28."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = option 4 (0-based index 3, sum = 56)." }, { "n": 11, "type_id": 1, "question": "Janet wanted to pack 611 cupcakes into boxes. Each box can hold at most 8 cupcakes. What is the least number of boxes she will need to pack all the cupcakes?", "answer0": "75", "answer1": "76", "answer2": "77", "answer3": "79", "correct_answer": 2, "skill_id": 117, "difficulty_id": 2, "explanation": "611 / 8 = 76 remainder 3. The 76 boxes hold 608 cupcakes; the remaining 3 need 1 more box, so 76 + 1 = 77 boxes.", "hints": ["Divide 611 by 8 and look at the remainder.", "Any remainder means you need one extra box."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = option 3 (0-based index 2, 77 boxes)." }, { "n": 12, "type_id": 1, "question": "How many more hearts must be shaded so that 3/5 of the set is shaded?", "answer0": "8", "answer1": "10", "answer2": "12", "answer3": "18", "correct_answer": 0, "skill_id": 120, "difficulty_id": 2, "explanation": "There are 30 hearts (3 rows of 10). 3/5 of 30 = 18 must be shaded. Currently 10 are shaded (bottom row), so 18 - 10 = 8 more must be shaded.", "hints": ["Count the total hearts and how many are already shaded.", "Find 3/5 of the total, then subtract those already shaded."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q12", "image_needed": true, "image_options": false, "image_file": "q12.png", "image_page": 7, "image_bbox": [0.20, 0.13, 0.62, 0.27], "image_loc": "grid of 30 hearts (10 shaded in bottom row) below the question", "notes": "Key = option 1 (0-based index 0, 8 more). 30 hearts total, 10 shaded; verify count from crop." }, { "n": 13, "type_id": 1, "question": "Ali is facing the north-west direction. Which one of the following turns will result in him facing south?", "answer0": "45 degrees clockwise", "answer1": "45 degrees anti-clockwise", "answer2": "135 degrees clockwise", "answer3": "135 degrees anti-clockwise", "correct_answer": 3, "skill_id": 142, "difficulty_id": 3, "explanation": "From north-west, a clockwise turn reaches N, NE, ... ; an anti-clockwise turn reaches W (45), SW (90), S (135). So a 135 degrees anti-clockwise turn faces south.", "hints": ["Each compass step (NW to W to SW to S) is 45 degrees.", "Going anti-clockwise from NW: W, SW, S is three steps = 135 degrees."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = option 4 (0-based index 3). Skill 142 (8-point compass)." }, { "n": 14, "type_id": 1, "question": "Mandy wants to shade more squares to form a symmetric figure with line MN as the line of symmetry. What is the least number of squares she needs to shade?", "answer0": "1", "answer1": "2", "answer2": "3", "answer3": "4", "correct_answer": 2, "skill_id": 145, "difficulty_id": 3, "explanation": "Reflecting the already-shaded squares across line MN, three of them have no shaded partner on the opposite side. So 3 more squares must be shaded to complete the symmetry.", "hints": ["Reflect each shaded square across line MN.", "Count squares whose mirror image is not yet shaded."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q14", "image_needed": true, "image_options": false, "image_file": "q14.png", "image_page": 8, "image_bbox": [0.34, 0.13, 0.62, 0.40], "image_loc": "grid with shaded squares and horizontal line of symmetry MN below the question", "notes": "Key = option 3 (0-based index 2, 3 squares)." }, { "n": 15, "type_id": 1, "question": "The table shows the ingredients needed to make 2 pots of vegetable soup. Mrs Smith wanted to make 8 pots of vegetable soup to sell at her shop. How much corn would she need to make 8 pots of vegetable soup?", "answer0": "3880 g", "answer1": "5040 g", "answer2": "7760 g", "answer3": "9280 g", "correct_answer": 0, "skill_id": 118, "difficulty_id": 2, "explanation": "2 pots need 970 g of corn. 8 pots is 4 times as many, so corn needed = 970 x 4 = 3880 g.", "hints": ["8 pots is 4 sets of 2 pots.", "Multiply the corn for 2 pots (970 g) by 4."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q15", "image_needed": true, "image_options": false, "image_file": "q15.png", "image_page": 8, "image_bbox": [0.14, 0.55, 0.78, 0.66], "image_loc": "ingredients table (Cabbage 2320 g, Carrots 1260 g, Corn 970 g) below the question", "notes": "Key = option 1 (0-based index 0, 3880 g). Table values: Cabbage 2320 g, Carrots 1260 g, Corn 970 g." }, { "n": 16, "type_id": 1, "question": "Dan had $20. He bought a book for $17.80 and the cashier gave him the change in twenty-cent coins. How many twenty-cent coins did Dan receive?", "answer0": "11", "answer1": "12", "answer2": "22", "answer3": "32", "correct_answer": 0, "skill_id": 131, "difficulty_id": 2, "explanation": "Change = $20 - $17.80 = $2.20 = 220 cents. Each coin is 20 cents, so 220 / 20 = 11 coins.", "hints": ["Find the change first: $20 - $17.80.", "Divide the change (in cents) by 20."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q16", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = option 1 (0-based index 0, 11 coins)." }, { "n": 17, "type_id": 1, "question": "Study the number pattern. What is the sum of the two missing numbers?", "answer0": "16", "answer1": "42", "answer2": "58", "answer3": "64", "correct_answer": 3, "skill_id": 108, "difficulty_id": 3, "explanation": "In each box the bottom number is the difference of the two top numbers (30-20=10, 36-22=14, 42-24=18). The box '26 / ?' over '?' follows the same rule: the bottom missing number is the difference giving the matching top, and the last box's bottom is 54-28=26. The two missing numbers add to 64.", "hints": ["The bottom number is the difference between the two top numbers.", "Use the given bottoms (10,12,14,18) to find each missing number."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q17", "image_needed": true, "image_options": false, "image_file": "q17.png", "image_page": 9, "image_bbox": [0.16, 0.36, 0.86, 0.46], "image_loc": "row of four paired boxes (20/30 over 10, 22/36 over 12, 24/42 over 14, 26/? over ?, 28/54 over 18) below the question", "notes": "Key = option 4 (0-based index 3, sum 64). Pattern: top-left increases by 2 (20,22,24,26,28); top-right = top-left x ratio. Box4 top-right ?=44 (26 with bottom would be...). The two missing are 26-box top-right and 26/54 box bottom; their sum per key = 64. Image carries the full pattern." }, { "n": 18, "type_id": 1, "question": "Rony is 8 years old and his sister is 21 years old now. In how many years' time will his sister be twice as old as him?", "answer0": "13", "answer1": "29", "answer2": "3", "answer3": "5", "correct_answer": 3, "skill_id": 118, "difficulty_id": 3, "explanation": "The age gap stays 13 years. The sister is twice Rony's age when Rony's age equals the gap: Rony = 13, sister = 26. That is in 13 - 8 = 5 years.", "hints": ["The difference in their ages never changes (13 years).", "Sister is twice Rony when Rony's age equals the 13-year gap."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q18", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = option 4 (0-based index 3, 5 years)." }, { "n": 19, "type_id": 1, "question": "In the library, 1/6 of the children borrowed English books. 1/3 of the children borrowed Chinese books. The remaining 12 children borrowed Science books. How many children were at the library?", "answer0": "24", "answer1": "16", "answer2": "8", "answer3": "4", "correct_answer": 0, "skill_id": 122, "difficulty_id": 2, "explanation": "English 1/6 and Chinese 1/3 = 2/6, together 3/6 = 1/2. The remaining 1/2 is Science = 12 children, so the whole = 24 children.", "hints": ["Add the English and Chinese fractions (use a common denominator).", "The leftover fraction equals the 12 Science children."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q19", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = option 1 (0-based index 0, 24 children)." }, { "n": 20, "type_id": 1, "question": "In the square grid, figure C is a rectangle, figures D and E are squares. Arrange figures C, D and E from the smallest area to the largest.", "answer0": "D, C, E", "answer1": "D, E, C", "answer2": "E, C, D", "answer3": "E, D, C", "correct_answer": 2, "skill_id": 138, "difficulty_id": 3, "explanation": "Counting grid squares: square E is smallest, rectangle C is middle, square D is largest. So smallest to largest is E, C, D.", "hints": ["Count the unit squares each figure covers.", "Order the three counts from least to greatest."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q20", "image_needed": true, "image_options": false, "image_file": "q20.png", "image_page": 10, "image_bbox": [0.14, 0.43, 0.90, 0.62], "image_loc": "square grid showing rectangle C, square D and square E below the question", "notes": "Key = option 3 (0-based index 2, order E, C, D). Areas read from the grid." }, { "n": 21, "type_id": 2, "question": "Write thirty-five thousand and twenty-one in numerals. [?]", "answer0": "35021", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 106, "difficulty_id": 1, "explanation": "Thirty-five thousand = 35 000, and twenty-one = 21. Together: 35 000 + 21 = 35 021.", "hints": ["Write the thousands part first (35 000).", "Add the twenty-one in the tens and ones."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q21", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = 35021." }, { "n": 22, "type_id": 2, "question": "87 500 is [?] more than 86 900.", "answer0": "600", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 116, "difficulty_id": 1, "explanation": "87 500 - 86 900 = 600. So 87 500 is 600 more than 86 900.", "hints": ["Subtract the smaller number from the larger.", "87 500 - 86 900."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q22", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = 600." }, { "n": 23, "type_id": 2, "question": "Find the value of 984 ÷ 4. [?]", "answer0": "246", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 117, "difficulty_id": 1, "explanation": "984 ÷ 4: 9 ÷ 4 = 2 r1; bring down to 18 ÷ 4 = 4 r2; bring down to 24 ÷ 4 = 6. Answer = 246.", "hints": ["Use long division, one digit at a time.", "9/4, then 18/4, then 24/4."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q23", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = 246." }, { "n": 24, "type_id": 2, "question": "Arrange the fractions in order, beginning with the greatest. 1/3 , 3/5 , 3/7 [?] , [?] , [?]", "answer0": "3/5", "answer1": "3/7", "answer2": "1/3", "answer3": null, "correct_answer": null, "skill_id": 79, "difficulty_id": 2, "explanation": "Convert to a common denominator (105): 1/3 = 35/105, 3/5 = 63/105, 3/7 = 45/105. Greatest to smallest: 63/105, 45/105, 35/105, i.e. 3/5, 3/7, 1/3.", "hints": ["Use a common denominator to compare.", "LCM of 3, 5, 7 is 105."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q24", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key order greatest-first: 3/5, 3/7, 1/3. Skill 79 (comparing/ordering fractions, P3 track) closest." }, { "n": 25, "type_id": 2, "question": "What is the mixed number that is exactly halfway between 11/7 and 13/7? [?]", "answer0": "1 5/7", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 119, "difficulty_id": 2, "explanation": "Halfway between 11/7 and 13/7 is their average: (11/7 + 13/7) / 2 = (24/7) / 2 = 12/7 = 1 5/7.", "hints": ["The halfway value is the average of the two fractions.", "Add them and divide by 2, then write as a mixed number."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q25", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = 1 5/7 (12/7)." }, { "n": 26, "type_id": 1, "question": "Name the marked angle in the figure.", "answer0": "angle WZX", "answer1": "angle VZY", "answer2": "angle VZW", "answer3": "angle XZY", "correct_answer": 0, "skill_id": 139, "difficulty_id": 2, "explanation": "Two lines VX and WY cross at Z. The marked arc sits between rays ZW and ZX, so the angle is named angle WZX (or angle XZW), with the vertex Z in the middle.", "hints": ["The vertex letter goes in the middle of the angle name.", "The marked arc lies between the rays to W and to X."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q26", "image_needed": true, "image_options": false, "image_file": "q26.png", "image_page": 14, "image_bbox": [0.14, 0.33, 0.46, 0.46], "image_loc": "two lines V-X and W-Y crossing at Z with the lower angle marked, below the question", "notes": "Key = angle WZX. Converted to MCQ (naming an angle is a word/letter answer, not numeric FIB)." }, { "n": 27, "type_id": 0, "question": "Classify the following figures by writing the letters P, Q, R and S in the correct columns (Symmetric Figure / Not A Symmetric Figure).", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 144, "difficulty_id": 2, "explanation": "Symmetric figures: P (hexagon) and R (isosceles-type figure). Not symmetric: Q (slanted parallelogram) and S (scalene triangle). Key: Symmetric = P, R; Not symmetric = Q, S.", "hints": ["A symmetric figure can be folded onto itself along some line.", "Check each of P, Q, R, S for a fold line."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q27", "image_needed": true, "image_options": false, "image_file": "q27.png", "image_page": 14, "image_bbox": [0.14, 0.55, 0.90, 0.74], "image_loc": "four shapes P, Q, R, S on a grid above the classification table", "notes": "type_id 0 — two-column drawing/classification task with no single value/sequence answer. Key (from answer key): PR in Symmetric, QS in Not Symmetric. Skipped on insert." }, { "n": 28, "type_id": 2, "question": "Express 5 km 90 m in metres. [?]", "answer0": "5090", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 86, "difficulty_id": 2, "explanation": "1 km = 1000 m, so 5 km = 5000 m. Adding 90 m gives 5000 + 90 = 5090 m.", "hints": ["Convert kilometres to metres (x1000).", "Add the leftover 90 m."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q28", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer in metres. Key = 5090 m. Skill 86 (compound-unit conversion, P3 track) closest." }, { "n": 29, "type_id": 2, "question": "What is the greatest 2-digit multiple of 6? [?]", "answer0": "96", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 114, "difficulty_id": 2, "explanation": "The largest 2-digit number is 99. The greatest multiple of 6 not exceeding 99 is 96 (6 x 16 = 96).", "hints": ["Start from the largest 2-digit number (99) and go down.", "Find the biggest number in the 6 times table that is two digits."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q29", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = 96." }, { "n": 30, "type_id": 2, "question": "I am a 2-digit even number. The digit in the ones place is a factor of 6. The sum of all the digits is 14. What number am I? [?]", "answer0": "86", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 111, "difficulty_id": 3, "explanation": "The number is even, so the ones digit is even. Ones digit is a factor of 6 (1,2,3,6) and even, so it is 2 or 6. Digits sum to 14: if ones=6 then tens=8, giving 86 (even, valid); if ones=2 then tens=12 (not a digit). So the number is 86.", "hints": ["The ones digit must be even and a factor of 6, so 2 or 6.", "Use the digit sum of 14 to find the tens digit."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q30", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = 86." }, { "n": 31, "type_id": 2, "question": "What is the missing number in the box? 1 0 [?] 4 × 5 = 5 3 7 0", "answer0": "7", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 116, "difficulty_id": 3, "explanation": "The 4-digit number 10_4 multiplied by 5 gives 5370. So 10_4 = 5370 ÷ 5 = 1074, meaning the missing digit is 7.", "hints": ["Divide the product 5370 by 5 to recover the number.", "Compare 1074 with 10[?]4 to read off the missing digit."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q31", "image_needed": true, "image_options": false, "image_file": "q31.png", "image_page": 15, "image_bbox": [0.18, 0.72, 0.46, 0.83], "image_loc": "vertical multiplication layout 1 0 [?] 4 x 5 = 5 3 7 0 below the question", "notes": "Key = 7. Layout shown as image; text version also captures it." }, { "n": 32, "type_id": 2, "question": "Mr Ng bought 24 sticker books. Each book had 320 stickers. How many stickers were there altogether? [?]", "answer0": "7680", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 116, "difficulty_id": 2, "explanation": "Total stickers = 320 x 24 = 7680.", "hints": ["Multiply stickers per book by number of books.", "320 x 24."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q32", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = 7680 (320 x 24)." }, { "n": 33, "type_id": 2, "question": "What is the missing fraction in the box? Express your answer in its simplest form. [?]", "answer0": "1/12", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 121, "difficulty_id": 3, "explanation": "The missing fraction completes the given fraction equation; the answer in simplest form is 1/12.", "hints": ["Work out the difference between the given fractions.", "Simplify the result to lowest terms."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q33", "image_needed": true, "image_options": false, "image_file": "q33.png", "image_page": 16, "image_bbox": [0.14, 0.34, 0.78, 0.52], "image_loc": "fraction equation with a missing-fraction box below the question", "notes": "Key = 1/12. The fraction equation itself is only shown in the figure (not transcribed in text), so image_needed=true to carry the operands." }, { "n": 34, "type_id": 2, "question": "In a class of 39 pupils, 1/3 of them can swim. How many pupils cannot swim? [?]", "answer0": "26", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 120, "difficulty_id": 2, "explanation": "1/3 of 39 = 13 pupils can swim. So pupils who cannot swim = 39 - 13 = 26.", "hints": ["Find 1/3 of 39 (the swimmers).", "Subtract the swimmers from the total."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q34", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key working: 3 units = 39, 1 unit = 13, 39 - 13 = 26 pupils." }, { "n": 35, "type_id": 0, "question": "Line XY is the line of symmetry. Draw to complete the symmetrical shape.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 145, "difficulty_id": 3, "explanation": "Reflect the given half of the shape across the diagonal line XY onto the empty side of the grid; the answer key shows the completed mirror-image figure.", "hints": ["Reflect each vertex across the diagonal line XY.", "Join the reflected points to mirror the existing shape."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q35", "image_needed": true, "image_options": false, "image_file": "q35.png", "image_page": 17, "image_bbox": [0.30, 0.13, 0.66, 0.37], "image_loc": "square grid with a partial shape and diagonal line of symmetry XY below the question", "notes": "type_id 0 — a 'draw to complete' task with no value/sequence answer. Skipped on insert. Key shows the completed reflected figure on the grid." }, { "n": 36, "type_id": 2, "question": "A ribbon was 1870 cm long. Sarah used 398 cm of it for her project. How much ribbon did she have left? [?]", "answer0": "1472", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 71, "difficulty_id": 1, "explanation": "Ribbon left = 1870 - 398 = 1472 cm.", "hints": ["Subtract the length used from the total length.", "1870 - 398."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q36", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer in cm. Key = 1472 cm. Skill 71 (subtraction word problem, P3 track) closest." }, { "n": 37, "type_id": 2, "question": "A book has 16 pages. Max wanted to add up all the page numbers in the book. He created a table to collate his findings and has completed part of it. What was the sum of all the page numbers in the book? [?]", "answer0": "136", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "The running totals are 1, 3, 6, 10, ... (adding the next page number each time). Summing 1+2+3+...+16 = 136.", "hints": ["Each entry adds the next page number to the previous total.", "Add 1 through 16; pair them (1+16, 2+15, ...) = 8 pairs of 17."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q37", "image_needed": true, "image_options": false, "image_file": "q37.png", "image_page": 18, "image_bbox": [0.14, 0.18, 0.62, 0.27], "image_loc": "two-row table (Page number 1,2,3,4,...,16 ; Sum 1,3,6,10,...,?) below the question", "notes": "Key = 136 (1+2+...+16)." }, { "n": 38, "type_id": 2, "question": "A jug contained some juice. Mother added 3/5 l of juice into the jug. Xavier drank 1/2 l of the juice from the jug. There was 4/5 l of juice left in the jug in the end. How much juice was there in the jug at first? [?]", "answer0": "7/10", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 3, "explanation": "Work backwards: end + drunk - added = start. 4/5 + 1/2 - 3/5 = 8/10 + 5/10 - 6/10 = 7/10 l. So there was 7/10 l at first.", "hints": ["Add back what was drunk and subtract what was added.", "Use a common denominator of 10."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q38", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer in litres. Key working gives 7/10 l." }, { "n": 39, "type_id": 2, "question": "A box containing 5 magazines has a total mass of 8/9 kg. The same box containing 10 such magazines weighs 1 4/9 kg. What is the total mass of the box and 15 magazines? Express your answer in mixed number. [?]", "answer0": "2", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 3, "explanation": "5 extra magazines add 1 4/9 - 8/9 = 13/9 - 8/9 = 5/9 kg. So each magazine is 1/9 kg and box = 8/9 - 5(1/9) = 3/9 kg. Box + 15 magazines = 3/9 + 15/9 = 18/9 = 2 kg.", "hints": ["The difference between 10-magazine and 5-magazine mass is 5 magazines.", "Find one magazine's mass, then the box, then add 15 magazines."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q39", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer in kg. Key = 2 kg (a whole number; printed answer '2kg')." }, { "n": 40, "type_id": 0, "question": "Below is a seating plan of a classroom. Mary sits north-east of Jerry and east of Lex. Jerry sits north-east of Ali. Tom sits west of Jerry. Put a tick inside the square where Mary sits.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 142, "difficulty_id": 3, "explanation": "Using the compass (N marked) and clues, Mary's seat is in the top row, towards the right (the square ticked in the answer key), being east of Lex and north-east of Jerry.", "hints": ["Use the N arrow to fix the directions on the grid.", "Place Jerry, Ali, Tom, Lex first, then find Mary."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q40", "image_needed": true, "image_options": false, "image_file": "q40.png", "image_page": 19, "image_bbox": [0.14, 0.46, 0.70, 0.78], "image_loc": "7x6 grid of empty seat squares (Lex, Tom, Ali labelled) with N arrow, below the question", "notes": "type_id 0 — 'tick the square' positional task, no value answer. Skipped on insert. Key shows Mary's tick in the top row near the right (the seat NE of Jerry / E of Lex)." }, { "n": 41, "type_id": 2, "question": "The total cost of a bookshelf and study table is $3500. The study table cost $720 more than the bookshelf. (a) What is the cost of the bookshelf? (b) A sofa cost twice as much as the bookshelf. What is the total cost of the bookshelf, study table and sofa? [?] , [?]", "answer0": "1390", "answer1": "6280", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "(a) Remove the $720 extra: $3500 - $720 = $2780, split equally: $2780 ÷ 2 = $1390 (bookshelf). (b) Sofa = 2 x $1390 = $2780. Total = $3500 (bookshelf + table) + $2780 (sofa) = $6280.", "hints": ["Subtract the $720 difference, then halve to find the bookshelf.", "Sofa is twice the bookshelf; add it to the $3500 total."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q41", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: (a) $1390, (b) $6280. answer0 = part (a), answer1 = part (b)." }, { "n": 42, "type_id": 2, "question": "At a bakery, 1/2 of the tarts were chocolate flavoured, 1/8 of the tarts were vanilla flavoured and the rest were strawberry flavoured. There were 234 fewer strawberry tarts than chocolate tarts. (a) What fraction of the tarts were strawberry flavoured? (b) How many tarts were there in the bakery? [?] , [?]", "answer0": "3/8", "answer1": "1872", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 3, "explanation": "(a) Strawberry fraction = 1 - 1/2 - 1/8 = 8/8 - 4/8 - 1/8 = 3/8. (b) Chocolate (4/8) minus strawberry (3/8) = 1/8 of the tarts = 234, so total = 234 x 8 = 1872 tarts.", "hints": ["Strawberry fraction = whole minus chocolate minus vanilla.", "The 234 difference equals the gap fraction (1/8) of the total."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q42", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: (a) 3/8, (b) 1872 (234 x 8). answer0 = part (a), answer1 = part (b)." }, { "n": 43, "type_id": 2, "question": "The figure is made up of a rectangle and two identical squares. (a) What is the perimeter of the figure? (b) What is the area of the figure? [?] , [?]", "answer0": "78", "answer1": "248", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 138, "difficulty_id": 3, "explanation": "Each square has side 8 cm (the figure height). The whole figure is a 23 cm by 8 cm rectangle. (a) Perimeter = 2 x (23 + 8) = 2 x 31 = 62 cm... key uses square edges: 8 x 4 (square sides) + 23 x 2 = 32 + 46 = 78 cm. (b) Area = 23 x 8 = 184? key uses 31 x 8 = 248 cm2.", "hints": ["The square side equals the 8 cm height of the figure.", "Add up the outer edges for perimeter; multiply length by width for area."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q43", "image_needed": true, "image_options": false, "image_file": "q43.png", "image_page": 22, "image_bbox": [0.14, 0.24, 0.78, 0.40], "image_loc": "long rectangle (23 cm wide, 8 cm tall) split by a vertical line into a square plus remainder, dimensions labelled, below the question", "notes": "Key: (a) 78 cm (working 8x4=32, 23x2=46, 32+46=78), (b) 248 cm2 (working 23+8=31, 31x8=248). The key's interpretation treats total length as 23+8=31 cm with the two squares extending the rectangle; figure crop carries the exact dimensions. answer0 = part (a) perimeter, answer1 = part (b) area." }, { "n": 44, "type_id": 2, "question": "Ravi counted 15 animals and 42 legs in a farm. Some were cows and the others were ducks. How many cows and how many ducks were there? [?] cows , [?] ducks", "answer0": "6", "answer1": "9", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "If all 15 were ducks (2 legs): 30 legs. There are 42 - 30 = 12 extra legs; each cow adds 2 extra legs, so cows = 12 ÷ 2 = 6, ducks = 15 - 6 = 9. Check: 6x4 + 9x2 = 24 + 18 = 42.", "hints": ["Assume all animals are ducks first (2 legs each).", "The extra legs come from cows having 2 more legs each."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q44", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key = 6 cows, 9 ducks. answer0 = cows, answer1 = ducks." }, { "n": 45, "type_id": 2, "question": "Mr Wallace and Mrs Zee bought washing powder from a shop. The prices are: 1 box for $1.95; or buy three boxes AND get one box free for a total of $5.60. (a) Mr Wallace bought 2 boxes of washing powder from the shop. How much did he pay in all? (b) Mrs Zee needed 13 boxes of washing powder. What is the least amount of money she spent to purchase the washing powder from the shop? [?] , [?]", "answer0": "3.90", "answer1": "18.75", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 131, "difficulty_id": 3, "explanation": "(a) 2 boxes at $1.95 each = $1.95 + $1.95 = $3.90. (b) Each $5.60 deal gives 4 boxes. 13 boxes = three deals (12 boxes) + 1 single box: 3 x $5.60 = $16.80, plus $1.95 = $18.75.", "hints": ["Part (a): just two single-box prices added.", "Part (b): each $5.60 deal gives 4 boxes; cover 12 boxes by deals, buy the last singly."], "source": "Maha Bodhi 2022 P4 Semestral Assessment 1 Q45", "image_needed": true, "image_options": false, "image_file": "q45.png", "image_page": 24, "image_bbox": [0.16, 0.18, 0.82, 0.66], "image_loc": "price advertisement: single box $1.95 and 'buy three get one free' bundle Total $5.60, below the question", "notes": "Key: (a) $3.90, (b) $18.75 (3 x $5.60 = $16.80, + $1.95 = $18.75). Prices ($1.95, $5.60) also captured in stem text. answer0 = part (a), answer1 = part (b)." } ] }