{ "paper": { "school": "Henry Park", "year": 2022, "level": "P4", "label": "Semestral Assessment 1", "source_prefix": "Henry Park 2022 P4 Semestral Assessment 1", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "What is the value of digit 6 in 42 650?", "answer0": "6", "answer1": "60", "answer2": "600", "answer3": "6000", "correct_answer": 2, "skill_id": 105, "difficulty_id": 1, "explanation": "In 42 650 the digit 6 is in the hundreds place, so its value is 6 x 100 = 600.", "hints": ["Identify the place of the digit 6.", "It sits in the hundreds column: 6 x 100."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3 = 600." }, { "n": 2, "type_id": 1, "question": "What is the product of 2109 and 3?", "answer0": "73", "answer1": "703", "answer2": "6327", "answer3": "6357", "correct_answer": 2, "skill_id": 116, "difficulty_id": 1, "explanation": "2109 x 3 = 6327.", "hints": ["Product means multiply.", "Multiply 2109 by 3 column by column."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3 = 6327." }, { "n": 3, "type_id": 1, "question": "The figure is made up of identical squares. What fraction of the figure is shaded?", "answer0": "7/11", "answer1": "7/18", "answer2": "11/18", "answer3": "11/7", "correct_answer": 1, "skill_id": 120, "difficulty_id": 2, "explanation": "The figure has 3 rows x 6 columns = 18 identical squares. 7 of them are shaded, so the shaded fraction is 7/18.", "hints": ["Count the total number of squares.", "Count the shaded squares, then write shaded over total."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q3", "image_needed": true, "image_options": false, "image_file": "q3.png", "image_page": 3, "image_bbox": [0.28, 0.58, 0.50, 0.70], "image_loc": "grid of shaded/unshaded squares below the question, upper-middle of page", "notes": "Key: option 2 = 7/18. 7 shaded of 18 squares." }, { "n": 4, "type_id": 1, "question": "The rectangle has a length of 8 m and a breadth of 5 m. What is the perimeter of the rectangle?", "answer0": "13 m", "answer1": "26 m", "answer2": "32 m", "answer3": "40 m", "correct_answer": 1, "skill_id": 143, "difficulty_id": 1, "explanation": "Perimeter = 2 x (length + breadth) = 2 x (8 + 5) = 2 x 13 = 26 m.", "hints": ["Perimeter adds up all four sides.", "Use 2 x (length + breadth)."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q4", "image_needed": true, "image_options": false, "image_file": "q4.png", "image_page": 4, "image_bbox": [0.18, 0.18, 0.46, 0.30], "image_loc": "rectangle labelled 5 m and 8 m, upper-left below the question", "notes": "Key: option 2 = 26 m." }, { "n": 5, "type_id": 1, "question": "In the figure, how many of the marked angles are greater than 90 degrees?", "answer0": "1", "answer1": "2", "answer2": "3", "answer3": "4", "correct_answer": 2, "skill_id": 140, "difficulty_id": 2, "explanation": "Compare each marked interior angle of the pentagon against a right angle. Three of the five marked angles are obtuse (greater than 90 degrees).", "hints": ["A right angle is exactly 90 degrees.", "Count only the angles that open wider than a square corner."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q5", "image_needed": true, "image_options": false, "image_file": "q5.png", "image_page": 4, "image_bbox": [0.30, 0.46, 0.66, 0.63], "image_loc": "irregular pentagon with marked angles, middle of page", "notes": "Key: option 3 = 3." }, { "n": 6, "type_id": 1, "question": "Which of the following figure(s) is/are symmetric?", "answer0": "A, B and C only", "answer1": "A and D only", "answer2": "B and C only", "answer3": "D only", "correct_answer": 1, "skill_id": 144, "difficulty_id": 2, "explanation": "The aeroplane (A) and the barn (D) have a line of symmetry; the apple (B) with its slanted stalk and the bathtub (C) do not. So A and D only are symmetric.", "hints": ["A symmetric figure folds onto itself along a line.", "Check each picture for a mirror line."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q6", "image_needed": true, "image_options": false, "image_file": "q6.png", "image_page": 5, "image_bbox": [0.22, 0.14, 0.80, 0.27], "image_loc": "row of four labelled pictures A (plane), B (apple), C (bathtub), D (barn)", "notes": "Key: option 2 = A and D only. Pictures are part of the stem (not the options), so image_options false." }, { "n": 7, "type_id": 1, "question": "Lucy bought a storybook for $10.95 and a file for $2.70. She gave the cashier $20. How much change did she receive?", "answer0": "$6.35", "answer1": "$7.45", "answer2": "$7.65", "answer3": "$8.65", "correct_answer": 0, "skill_id": 131, "difficulty_id": 2, "explanation": "Total spent = $10.95 + $2.70 = $13.65. Change = $20 - $13.65 = $6.35.", "hints": ["Add the two prices first.", "Subtract the total from $20."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 1 = $6.35." }, { "n": 8, "type_id": 1, "question": "The capacity of a fish tank is 5 l 20 ml. It contains 340 ml of water. How much more water is needed to fill up the fish tank completely?", "answer0": "180 ml", "answer1": "860 ml", "answer2": "4680 ml", "answer3": "4860 ml", "correct_answer": 2, "skill_id": 131, "difficulty_id": 2, "explanation": "5 l 20 ml = 5020 ml. Water needed = 5020 - 340 = 4680 ml.", "hints": ["Convert 5 l 20 ml to millilitres.", "Subtract the 340 ml already in the tank."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3 = 4680 ml." }, { "n": 9, "type_id": 1, "question": "Jacob started working on his project at 10.45 a.m. At 1 p.m., he took an hour break and then continued working on his project until 3.30 p.m. How much time did he spend working on his project?", "answer0": "3 h 45 min", "answer1": "4 h 45 min", "answer2": "5 h 45 min", "answer3": "7 h 15 min", "correct_answer": 0, "skill_id": 135, "difficulty_id": 2, "explanation": "Morning: 10.45 a.m. to 1 p.m. = 2 h 15 min. After the 1-hour break: 2 p.m. to 3.30 p.m. = 1 h 30 min. Total work = 2 h 15 min + 1 h 30 min = 3 h 45 min.", "hints": ["Find the working time before and after the break separately.", "The break does not count as working time."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 1 = 3 h 45 min." }, { "n": 10, "type_id": 1, "question": "The figure is made up of two squares, E and F. Each side of square F is three times as long as each side of square E. What fraction of the figure is shaded?", "answer0": "1/3", "answer1": "1/4", "answer2": "1/9", "answer3": "1/10", "correct_answer": 3, "skill_id": 120, "difficulty_id": 3, "explanation": "Let square E have side 1 unit, so area E = 1. Square F has side 3 units, so area F = 9. Total area = 9 + 1 = 10. Shaded square E = 1, so the shaded fraction is 1/10.", "hints": ["Choose a side length for E, then F is 3 times longer.", "Compare the area of E to the total area of both squares."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q10", "image_needed": true, "image_options": false, "image_file": "q10.png", "image_page": 6, "image_bbox": [0.34, 0.42, 0.58, 0.56], "image_loc": "large square F with small shaded square E at its lower-left corner", "notes": "Key: option 4 = 1/10." }, { "n": 11, "type_id": 2, "question": "Round 86 594 to the nearest hundred.", "answer0": "86 600", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 109, "difficulty_id": 1, "explanation": "The tens digit is 9 (>= 5), so round the hundreds digit up: 86 594 rounds to 86 600.", "hints": ["Look at the tens digit to decide rounding.", "9 is 5 or more, so round up."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 86600." }, { "n": 12, "type_id": 2, "question": "What is the sum of 65 thousands and 49 tens?", "answer0": "65 490", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 105, "difficulty_id": 2, "explanation": "65 thousands = 65 000 and 49 tens = 490. Sum = 65 000 + 490 = 65 490.", "hints": ["65 thousands = 65 000.", "49 tens = 490, then add."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 65490." }, { "n": 13, "type_id": 2, "question": "Complete the number pattern.\n3240, 3263, 3286, [?], 3332, 3355", "answer0": "3309", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 108, "difficulty_id": 2, "explanation": "The numbers increase by 23 each time (3263 - 3240 = 23). 3286 + 23 = 3309.", "hints": ["Find the constant difference between terms.", "Add the difference to 3286."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 3309. Single missing term in the sequence." }, { "n": 14, "type_id": 2, "question": "Find the first common multiple of 6 and 8.", "answer0": "24", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 115, "difficulty_id": 2, "explanation": "Multiples of 6: 6, 12, 18, 24... Multiples of 8: 8, 16, 24... The first common multiple is 24.", "hints": ["List multiples of each number.", "Find the smallest number in both lists."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q14", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 24." }, { "n": 15, "type_id": 2, "question": "Express 27/6 as a mixed number in its simplest form.", "answer0": "4 1/2", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 119, "difficulty_id": 2, "explanation": "27 / 6 = 4 remainder 3, so 27/6 = 4 3/6 = 4 1/2 in simplest form.", "hints": ["Divide 27 by 6 to get the whole-number part.", "Simplify the remaining fraction 3/6."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q15", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 4 1/2." }, { "n": 16, "type_id": 2, "question": "How many eighths are there in 3 5/8?", "answer0": "29", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 119, "difficulty_id": 2, "explanation": "3 5/8 = (3 x 8 + 5)/8 = 29/8, so there are 29 eighths.", "hints": ["Convert the mixed number to an improper fraction over 8.", "The numerator is the number of eighths."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q16", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key working: 8x3=24, 24+5=29. Answer 29." }, { "n": 17, "type_id": 2, "question": "Find the value of 1/5 + 7/10 + 2/5. Express your answer as a mixed number in its simplest form.", "answer0": "1 3/10", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 121, "difficulty_id": 2, "explanation": "Use tenths: 1/5 = 2/10, 2/5 = 4/10. Sum = 2/10 + 7/10 + 4/10 = 13/10 = 1 3/10.", "hints": ["Convert all fractions to tenths.", "Add the numerators, then write as a mixed number."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q17", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 13/10 = 1 3/10." }, { "n": 18, "type_id": 2, "question": "What is the size of angle WAZ?", "answer0": "127", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 140, "difficulty_id": 2, "explanation": "Ray AZ lies along the 0-degree base line and ray AW is read on the inner scale at 127 degrees, so angle WAZ = 127 degrees.", "hints": ["Find which scale starts at 0 along AZ.", "Read off the mark where AW crosses the protractor."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q18", "image_needed": true, "image_options": false, "image_file": "q18.png", "image_page": 9, "image_bbox": [0.14, 0.40, 0.62, 0.62], "image_loc": "protractor with ray AW marked and base line AZ", "notes": "Key: 127 degrees. Answer in degrees (the answer line has a degree symbol)." }, { "n": 19, "type_id": 0, "question": "Angle RXN is 100 degrees. Join the marked end point X of line XN to the correct dot to get the required angle. Label the angle.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 140, "difficulty_id": 2, "explanation": "Measure 100 degrees from ray XN at X using a protractor, draw ray XR to the dot that is 100 degrees from XN, and mark the angle as 100 degrees.", "hints": ["Place the protractor centre on X with the base along XN.", "The 100-degree mark picks out the correct dot."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q19", "image_needed": true, "image_options": false, "image_file": "q19.png", "image_page": 10, "image_bbox": [0.30, 0.20, 0.70, 0.38], "image_loc": "line XN with three dots above it", "notes": "Drawing/construction task — no value answer. type_id 0, skipped on insert. Key shows ray drawn to make a 100-degree angle at X." }, { "n": 20, "type_id": 0, "question": "Shade 2 more squares to form a symmetric figure with XY as the line of symmetry.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 145, "difficulty_id": 2, "explanation": "Reflect the existing shaded squares across the vertical line XY; shade the two squares that are the mirror images of the unmatched shaded squares so the whole figure is symmetric about XY.", "hints": ["Each shaded square needs a mirror partner across XY.", "Find the shaded squares that have no partner yet."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q20", "image_needed": true, "image_options": false, "image_file": "q20.png", "image_page": 10, "image_bbox": [0.34, 0.50, 0.64, 0.74], "image_loc": "6x6 grid with some shaded squares and vertical dashed line XY through it", "notes": "Shading/colour task — no value answer. type_id 0, skipped on insert. Answer key shows the completed symmetric shading." }, { "n": 21, "type_id": 2, "question": "The bar graph shows the amount of money four students saved in a week. What was the total amount of money saved by Aini and Cindy?", "answer0": "32", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 148, "difficulty_id": 2, "explanation": "From the bar graph, Aini saved $18 and Cindy saved $14. Total = $18 + $14 = $32.", "hints": ["Read the bar heights for Aini and Cindy.", "Add the two amounts."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q21", "image_needed": true, "image_options": false, "image_file": "q21.png", "image_page": 11, "image_bbox": [0.16, 0.24, 0.70, 0.44], "image_loc": "bar graph of amount saved by Muthu, Aini, Joseph, Cindy", "notes": "Key: 18+14 = $32. Answer in dollars (answer line shows $). Same graph used for Q22." }, { "n": 22, "type_id": 2, "question": "After Muthu had given Joseph $4, how much more money would Muthu have than Joseph?", "answer0": "6", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 148, "difficulty_id": 2, "explanation": "From the graph Muthu saved $24 and Joseph saved $10. After Muthu gives $4: Muthu has $20, Joseph has $14. Difference = $20 - $14 = $6.", "hints": ["Read Muthu's and Joseph's amounts from the graph.", "Adjust both by the $4 given, then find the difference."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q22", "image_needed": true, "image_options": false, "image_file": "q22.png", "image_page": 11, "image_bbox": [0.16, 0.24, 0.70, 0.44], "image_loc": "bar graph of amount saved by Muthu, Aini, Joseph, Cindy (same graph as Q21)", "notes": "Key: 20-14 = $6. Answer in dollars. Graph is on the same page above Q21." }, { "n": 23, "type_id": 2, "question": "A number is a multiple of 3. It is also a factor of 42. It is between 14 and 27. What is the number?", "answer0": "21", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 111, "difficulty_id": 2, "explanation": "Factors of 42 between 14 and 27: 21. 21 is also a multiple of 3 (42 = 2 x 21). So the number is 21.", "hints": ["List factors of 42 that lie between 14 and 27.", "Check which one is a multiple of 3."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q23", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 42 = 2 x 21, answer 21." }, { "n": 24, "type_id": 2, "question": "After Julia donated half of her savings to charity and spent $124 on a toy, she had $102 left. How much savings did Julia have at first?", "answer0": "452", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "Half of her savings = $124 + $102 = $226. So all her savings = $226 x 2 = $452.", "hints": ["Work backwards: add back the toy cost and what was left.", "That sum is half her savings, so double it."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q24", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 124+102=226, then 226x2 = $452. Answer in dollars." }, { "n": 25, "type_id": 2, "question": "Devi bought 3 m of ribbon. She used 2/7 m of the ribbon to decorate some presents. How many metres of ribbon did she have left? Express your answer as a mixed number.", "answer0": "2 5/7", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 2, "explanation": "3 m = 21/7 m. Left = 21/7 - 2/7 = 19/7 = 2 5/7 m.", "hints": ["Write 3 m as sevenths (21/7).", "Subtract 2/7, then convert to a mixed number."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q25", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 19/7 = 2 5/7 m. Answer in metres." }, { "n": 26, "type_id": 2, "question": "Mr Tan had some apples. After selling 1/5 of his apples at a fair, he had 304 apples left. How many apples did he have at first?", "answer0": "380", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 3, "explanation": "Sold 1/5, so 4/5 remained = 304 apples. 1/5 = 304 / 4 = 76. Total 5/5 = 76 x 5 = 380 apples.", "hints": ["The 304 left is 4/5 of the total.", "Find 1/5 first, then multiply by 5."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q26", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 4/5=304, 1/5=76, total=380." }, { "n": 27, "type_id": 2, "question": "Siti and Ahmad spent a total of $200.25 at the supermarket. Siti spent $102.90. How much more did Siti spend than Ahmad?", "answer0": "5.55", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 131, "difficulty_id": 2, "explanation": "Ahmad spent $200.25 - $102.90 = $97.35. Siti spent more by $102.90 - $97.35 = $5.55.", "hints": ["Find Ahmad's amount by subtracting from the total.", "Then find the difference between Siti and Ahmad."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q27", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: A=97.35, diff=$5.55. Answer in dollars." }, { "n": 28, "type_id": 2, "question": "Ben paid $630 for a suit and a pair of shoes. The suit cost 5 times as much as the pair of shoes. How much did the pair of shoes cost?", "answer0": "105", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "Shoes = 1 unit, suit = 5 units, total = 6 units = $630. 1 unit = $630 / 6 = $105, so the shoes cost $105.", "hints": ["Let the shoes be 1 unit; the suit is 5 units.", "Total is 6 units = $630."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q28", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 6u=630, 1u=$105. Answer in dollars." }, { "n": 29, "type_id": 2, "question": "8 bins are placed at an equal distance apart along a straight road. The distance between every two bins is 36 m. What is the distance between the first bin and the last bin?", "answer0": "252", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "8 bins make 8 - 1 = 7 gaps. Distance = 7 x 36 = 252 m.", "hints": ["Number of gaps is one less than the number of bins.", "Multiply the number of gaps by 36 m."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q29", "image_needed": true, "image_options": false, "image_file": "q29.png", "image_page": 14, "image_bbox": [0.16, 0.20, 0.68, 0.36], "image_loc": "row of bins (1st and 8th) with 36 m and ? m measurement arrows", "notes": "Key: gaps=7, 7x36=252 m. Answer in metres." }, { "n": 30, "type_id": 2, "question": "Mrs Bala took 5 h 15 min to drive from Kuala Lumpur to Singapore. She arrived at Singapore at 4.05 p.m. What time did Mrs Bala leave Kuala Lumpur for Singapore?", "answer0": "10.50", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 135, "difficulty_id": 2, "explanation": "Subtract the duration from the arrival time: 4.05 p.m. - 5 h 15 min = 10.50 a.m.", "hints": ["Count back 5 h 15 min from 4.05 p.m.", "4.05 p.m. minus 5 h = 11.05 a.m., then minus 15 min."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q30", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 10.50 a.m. Answer line is followed by 'a.m.'" }, { "n": 31, "type_id": 1, "question": "Tina is standing at the Ticket Booth and facing East. She makes a 225 degree turn in a clockwise direction. What would she be facing?", "answer0": "Ferris Wheel", "answer1": "Carousel", "answer2": "Roller Coaster", "answer3": "Popcorn Booth", "correct_answer": 0, "skill_id": 142, "difficulty_id": 3, "explanation": "Facing East, a 225-degree clockwise turn = 180 + 45 = facing North-West. From the Ticket Booth (right side of the map) the North-West direction points to the Ferris Wheel.", "hints": ["225 degrees clockwise from East passes South then West.", "It ends pointing North-West; read what lies that way on the map."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q31", "image_needed": true, "image_options": false, "image_file": "q31.png", "image_page": 15, "image_bbox": [0.16, 0.22, 0.78, 0.58], "image_loc": "grid map of a fairground with North arrow and labelled attractions", "notes": "Open-ended in paper but a definite named answer; rendered as MCQ with map locations as options. Key: Ferris Wheel." }, { "n": 32, "type_id": 2, "question": "PQRS is a square and QWXY is a rectangle. Find angle YQR.", "answer0": "26", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 139, "difficulty_id": 3, "explanation": "Angle PQR is a corner of the square = 90 degrees. Angle PQY = 64 degrees is given, so angle YQR = 90 - 64 = 26 degrees.", "hints": ["The corner of the square at Q is 90 degrees.", "Subtract the 64-degree angle from 90."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q32", "image_needed": true, "image_options": false, "image_file": "q32.png", "image_page": 16, "image_bbox": [0.28, 0.21, 0.74, 0.42], "image_loc": "square PQRS with rectangle QWXY, angles 64 and 39 marked at Q", "notes": "Key: 90-64 = 26 degrees. Answer in degrees." }, { "n": 33, "type_id": 2, "question": "Form the greatest possible 4-digit number that can be divided by 5 without a remainder. Each digit can be used only once.\n8 3 9 1 0", "answer0": "9830", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 117, "difficulty_id": 3, "explanation": "Divisible by 5 means the last digit is 0 or 5; only 0 is available, so it ends in 0. Use the largest remaining digits in front: 9, 8, 3 give 9830.", "hints": ["A multiple of 5 ends in 0 or 5.", "Put the biggest digits in the highest places, ending with 0."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q33", "image_needed": false, "image_options": false, "image_file": null, "notes": "Digit tiles 8,3,9,1,0 are shown but are listed in the stem text; no figure crop needed. Key: 9830." }, { "n": 34, "type_id": 2, "question": "The fractions are arranged in decreasing order. The numerator of the second fraction has been smudged by ink. What is the missing numerator?\n7/4 (Greatest), [?]/8, 1 1/2 (Smallest)", "answer0": "13", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 124, "difficulty_id": 3, "explanation": "7/4 = 14/8 and 1 1/2 = 12/8. The middle fraction in eighths must be between 12/8 and 14/8, so its numerator is 13 (13/8).", "hints": ["Convert 7/4 and 1 1/2 to eighths.", "The missing numerator lies strictly between those two."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q34", "image_needed": true, "image_options": false, "image_file": "q34.png", "image_page": 17, "image_bbox": [0.22, 0.20, 0.62, 0.30], "image_loc": "three boxed fractions: 7/4 (Greatest), smudged ?/8, 1 1/2 (Smallest)", "notes": "Key: 13. Fraction with denominator 8." }, { "n": 35, "type_id": 0, "question": "Complete the symmetric figure with PQ as the line of symmetry. Shade the figure.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 145, "difficulty_id": 3, "explanation": "Reflect every shaded square of the given half across the diagonal line PQ and shade the reflected squares so the completed figure is symmetric about PQ.", "hints": ["PQ is a diagonal mirror line.", "Each shaded square maps to its mirror image across PQ."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q35", "image_needed": true, "image_options": false, "image_file": "q35.png", "image_page": 17, "image_bbox": [0.24, 0.44, 0.68, 0.80], "image_loc": "square grid with shaded arrow shape and diagonal line of symmetry PQ", "notes": "Shading/drawing task — no value answer. type_id 0, skipped on insert. Answer key shows the reflected shading." }, { "n": 36, "type_id": 2, "question": "Kelly bought 150 candies. She packed the candies into 18 bags. There were 7 candies in each bag. How many candies were left unpacked?", "answer0": "24", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "Candies packed = 18 x 7 = 126. Left unpacked = 150 - 126 = 24.", "hints": ["Find how many candies went into the bags first.", "Subtract that from 150."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q36", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 7x18=126, 150-126=24. [3 marks]" }, { "n": 37, "type_id": 2, "question": "There were some animals in a farm. 1/3 of them were chickens, 2/9 of them were cows and the remaining animals were goats.\n(a) What fraction of the animals were goats? Express your answer in its simplest form.\n(b) Given that there were 116 goats in the farm, how many animals were there altogether in the farm?", "answer0": "4/9", "answer1": "261", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 3, "explanation": "(a) Chickens 1/3 = 3/9, cows 2/9, so chickens + cows = 5/9. Goats = 9/9 - 5/9 = 4/9. (b) 4/9 of the total = 116 goats, so 1/9 = 116 / 4 = 29 and the total = 29 x 9 = 261 animals.", "hints": ["Express all fractions over 9 and subtract from a whole.", "For (b), 116 goats is 4/9 of the total; find 1/9 then 9/9."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q37", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two-part. answer0 = (a) 4/9, answer1 = (b) 261. Key: 1/3=3/9, goats=4/9; 4u=116, total=261." }, { "n": 38, "type_id": 2, "question": "Ali, Ben and Charlie baked some cookies for charity. Charlie baked 5490 cookies. Charlie baked 6 times as many cookies as Ben. Ali baked 1360 more cookies than Ben. How many cookies did they bake in all?", "answer0": "8680", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "Ben = 5490 / 6 = 915. Ali = 915 + 1360 = 2275. Total = 5490 + 915 + 2275 = 8680 cookies.", "hints": ["Find Ben first (Charlie is 6 times Ben).", "Add Ali (1360 more than Ben), then total all three."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q38", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: Ben 915, Ali 2275 (8u=915x8=7320 then +1360 = 8680). Total 8680. [4 marks]" }, { "n": 39, "type_id": 2, "question": "Louis made purple paint by mixing red and blue paint together. He used 5/6 l of red paint. He used 1/4 l less blue paint than red paint.\n(a) How much blue paint did he use? Express your answer in its simplest form.\n(b) How much purple paint did Louis make? Express your answer as a mixed number in its simplest form.", "answer0": "7/12", "answer1": "1 5/12", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 3, "explanation": "(a) Blue = 5/6 - 1/4 = 10/12 - 3/12 = 7/12 l. (b) Purple = red + blue = 10/12 + 7/12 = 17/12 = 1 5/12 l.", "hints": ["Use twelfths: 5/6 = 10/12, 1/4 = 3/12.", "Purple is red plus blue added together."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q39", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two-part. answer0=(a) 7/12 l, answer1=(b) 1 5/12 l. Key matches." }, { "n": 40, "type_id": 2, "question": "A rectangular piece of card, ABCD, was folded along PR. The length of RD is equal to the length of PD. RD is two times as long as PC and PC is 7 cm.\n(a) Find angle PRD.\n(b) Find the area of rectangle ABCD before it was folded.", "answer0": "45", "answer1": "924", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 138, "difficulty_id": 3, "explanation": "(a) Angle PDR = 90 degrees and PD = RD, so triangle PDR is right-angled isosceles; angle PRD = 90 / 2 = 45 degrees. (b) PC = 7 cm so breadth BC = PC + PD; RD = 2 x PC = 14 cm and PD = RD = 14 cm, giving CD-side = 7 + 14 = 21 cm; length = RD + 30 region works to length 44 cm. Area = 44 x 21 = 924 cm squared.", "hints": ["For (a), PD = RD with a right angle at D makes an isosceles right triangle.", "For (b), build the full length and breadth from the 7 cm, 14 cm and 30 cm pieces, then multiply."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q40", "image_needed": true, "image_options": false, "image_file": "q40.png", "image_page": 22, "image_bbox": [0.22, 0.20, 0.66, 0.40], "image_loc": "rectangle ABCD folded along PR, with 30 cm and 7 cm marked", "notes": "Two-part. answer0=(a) 45 degrees, answer1=(b) 924 cm^2. Key: PRD=90/2=45; 7+14=21, 14+30=44, 44x21=924 cm^2." }, { "n": 41, "type_id": 2, "question": "Matt, Nathan and Larry had a total of 386 marbles. Matt had 28 marbles more than Nathan. Larry had 4 times as many marbles as Matt. How many marbles did Matt have?", "answer0": "69", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "Let Matt = 1 unit. Nathan = 1 unit - 28, Larry = 4 units. Total = 6 units - 28 = 386, so 6 units = 414... using the key: 5 x 28 = 140 (the extra marbles from Matt and Larry over Nathan); 6 units = 386 - 140 = 246, 1 unit = 246 / 6 = 41, Matt = 41 + 28 = 69 marbles.", "hints": ["Take Nathan as the base unit.", "Express Matt and Larry in terms of Nathan, then remove the extra marbles to find the units."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q41", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 5x28=140, 6u=246, 1u=41, Matt=41+28=69. [3 marks]" }, { "n": 42, "type_id": 2, "question": "Timothy paid a total of $12 200 for 5 identical laptops and 3 identical mobile phones. Each laptop cost $720 more than each mobile phone. What was the cost of one mobile phone?", "answer0": "1075", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "The 5 laptops cost 5 x $720 = $3600 more than 5 phones. Remove this: $12 200 - $3600 = $8600 for 8 equal phone-prices. 1 phone = $8600 / 8 = $1075.", "hints": ["Replace each laptop with a phone price plus $720.", "There are 8 phone-units after removing the extra cost."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q42", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 720x5=3600, 8u=8600, 1u=$1075. [4 marks]" }, { "n": 43, "type_id": 2, "question": "In a bakery, muffins were only sold in boxes. A box of 4 big muffins cost $11 and a box of 6 mini muffins cost $8. Jenny bought the same number of big muffins and mini muffins. What was the least possible amount of money she would have paid for the muffins?", "answer0": "49", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "Smallest equal number is the LCM of 4 and 6 = 12. Big: 12 / 4 = 3 boxes x $11 = $33. Mini: 12 / 6 = 2 boxes x $8 = $16. Least total = $33 + $16 = $49.", "hints": ["Find the smallest number that is a multiple of both 4 and 6.", "Work out how many boxes of each, then add the costs."], "source": "Henry Park 2022 P4 Semestral Assessment 1 Q43", "image_needed": true, "image_options": false, "image_file": "q43.png", "image_page": 25, "image_bbox": [0.24, 0.18, 0.66, 0.32], "image_loc": "two boxes: Big Muffins (4 for $11) and Mini Muffins (6 for $8)", "notes": "Key: 12/4=3, 3x11=33; 12/6=2, 2x8=16; 16+33=$49. Answer in dollars. [4 marks]" } ] }