{ "paper": { "school": "Rosyth", "year": 2023, "level": "P5", "label": "Weighted Assessment 1", "source_prefix": "Rosyth 2023 P5 Weighted Assessment 1", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "In 9 186 320, the value of digit 1 is ____________.", "answer0": "100", "answer1": "1000", "answer2": "10 000", "answer3": "100 000", "correct_answer": 3, "skill_id": 149, "difficulty_id": 1, "explanation": "In 9 186 320 the digit 1 sits in the hundred-thousands place, so its value is 100 000. Answer: 100 000.", "hints": ["Identify which place the digit 1 occupies.", "Count places from the right: ones, tens, hundreds, thousands, ten-thousands, hundred-thousands."], "source": "Rosyth 2023 P5 Weighted Assessment 1 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 4 (100 000)." }, { "n": 2, "type_id": 1, "question": "Which one of the following fractions is nearest to 1?", "answer0": "\\(\\dfrac{4}{5}\\)", "answer1": "\\(\\dfrac{8}{9}\\)", "answer2": "\\(1\\dfrac{1}{3}\\)", "answer3": "\\(1\\dfrac{1}{4}\\)", "correct_answer": 1, "skill_id": 159, "difficulty_id": 2, "explanation": "Distances from 1: \\(\\dfrac{4}{5}\\) is 0.2 away, \\(\\dfrac{8}{9}\\) is about 0.11 away, \\(1\\dfrac{1}{3}\\) is 0.33 away, \\(1\\dfrac{1}{4}\\) is 0.25 away. \\(\\dfrac{8}{9}\\) is closest. Answer: \\(\\dfrac{8}{9}\\).", "hints": ["Find how far each fraction is from 1.", "Smaller distance from 1 means nearer to 1."], "source": "Rosyth 2023 P5 Weighted Assessment 1 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 2 (8/9). Fraction options rendered inline." }, { "n": 3, "type_id": 1, "question": "Which one of the following has the same value as \\(42 \\div 6 - 3 \\times 2\\)?", "answer0": "1", "answer1": "7", "answer2": "8", "answer3": "28", "correct_answer": 0, "skill_id": 155, "difficulty_id": 2, "explanation": "Apply order of operations: \\(42 \\div 6 = 7\\) and \\(3 \\times 2 = 6\\), then \\(7 - 6 = 1\\). Answer: 1.", "hints": ["Do multiplication and division before subtraction.", "42 ÷ 6 = 7 and 3 × 2 = 6, then subtract."], "source": "Rosyth 2023 P5 Weighted Assessment 1 Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 1 (value 1)." }, { "n": 4, "type_id": 1, "question": "The line graph shows the number of people attending a drama audition over 5 days.
On which two days was there a difference of 40 people attending the audition?", "answer0": "Day 1 and Day 2", "answer1": "Day 2 and Day 3", "answer2": "Day 3 and Day 4", "answer3": "Day 4 and Day 5", "correct_answer": 3, "skill_id": 147, "difficulty_id": 2, "explanation": "Reading the graph: Day 1 = 100, Day 2 = 80, Day 3 = 220, Day 4 = 140, Day 5 = 180. Day 4 to Day 5 differs by 180 - 140 = 40. Answer: Day 4 and Day 5.", "hints": ["Read each day's value from the line graph.", "Find the pair whose values differ by exactly 40."], "source": "Rosyth 2023 P5 Weighted Assessment 1 Q4", "image_needed": true, "image_options": false, "image_file": "q4.png", "image_page": 3, "image_bbox": [0.13, 0.13, 0.78, 0.36], "image_loc": "line graph near top of page, above the question text", "notes": "Key: option 4 (Day 4 and Day 5)." }, { "n": 5, "type_id": 1, "question": "Betty was given $15 on an outing. The graph shows how she spent some of her money.
Betty saved the remaining amount of money. What fraction of Betty's money did she save?", "answer0": "\\(\\dfrac{2}{13}\\)", "answer1": "\\(\\dfrac{11}{13}\\)", "answer2": "\\(\\dfrac{2}{15}\\)", "answer3": "\\(\\dfrac{13}{15}\\)", "correct_answer": 2, "skill_id": 64, "difficulty_id": 2, "explanation": "From the bar graph Betty spent: Drinks $2, Food $7, Transport $3, Stationery $1, total $13. She saved $15 - $13 = $2, which is \\(\\dfrac{2}{15}\\) of her money. Answer: \\(\\dfrac{2}{15}\\).", "hints": ["Add up the four amounts spent from the bar graph.", "Saved = 15 minus total spent; write it as a fraction of 15."], "source": "Rosyth 2023 P5 Weighted Assessment 1 Q5", "image_needed": true, "image_options": false, "image_file": "q5.png", "image_page": 4, "image_bbox": [0.18, 0.16, 0.80, 0.36], "image_loc": "bar graph near top of page, above the question text", "notes": "Key: option 3 (2/15). Answer is a fraction so kept as MCQ; options rendered inline. P5 graph skill (skill 64)." }, { "n": 6, "type_id": 2, "question": "What is eight million, four hundred and five thousand and twenty-six in numeral? [?]", "answer0": "8405026", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 149, "difficulty_id": 1, "explanation": "Eight million = 8 000 000; four hundred and five thousand = 405 000; twenty-six = 26. Total = 8 405 026. Answer: 8405026.", "hints": ["Break the number into millions, thousands and ones.", "8 000 000 + 405 000 + 26."], "source": "Rosyth 2023 P5 Weighted Assessment 1 Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 8405026." }, { "n": 7, "type_id": 2, "question": "A plane departed from Changi Airport. After 3 h 40 min, it arrived at its destination at 05 04 Singapore time. What time did the plane depart from Changi Airport? (Give your answer in 24h clock.) [?]", "answer0": "1324", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 135, "difficulty_id": 2, "explanation": "Arrival 05 04 minus duration 3 h 40 min. 05 04 - 3 h = 02 04, then - 40 min = 01 24 (the day before). In 24-hour clock the departure time is 1324 the previous day per the key. Working: count back 3 h 40 min from 05 04 gives 01 24; key records 13 24. Answer: 1324.", "hints": ["Subtract the flight duration from the arrival time.", "Take away the hours first, then the minutes; write in 24-hour format."], "source": "Rosyth 2023 P5 Weighted Assessment 1 Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Printed key states 13.24 P.M.; recorded answer as 24h clock 1324 to match the key. (Note: counting back 3h40min from 05 04 mathematically gives 01 24; key value used per spec.)" }, { "n": 8, "type_id": 1, "question": "Nicole mixed \\(\\dfrac{1}{4}\\) litres of orange syrup with \\(\\dfrac{5}{12}\\) litres of water to make orange drink. How many litres of orange drink did she make? (Give your answer in its simplest form)", "answer0": "\\(\\dfrac{2}{3}\\)", "answer1": "\\(\\dfrac{6}{16}\\)", "answer2": "\\(\\dfrac{8}{12}\\)", "answer3": "\\(\\dfrac{1}{2}\\)", "correct_answer": 0, "skill_id": 159, "difficulty_id": 2, "explanation": "\\(\\dfrac{1}{4} + \\dfrac{5}{12} = \\dfrac{3}{12} + \\dfrac{5}{12} = \\dfrac{8}{12} = \\dfrac{2}{3}\\) litres. Answer: \\(\\dfrac{2}{3}\\).", "hints": ["Make the denominators the same before adding.", "Convert 1/4 to twelfths, add, then simplify."], "source": "Rosyth 2023 P5 Weighted Assessment 1 Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 2/3. Answer is a fraction so converted to MCQ; options inline." }, { "n": 9, "type_id": 2, "question": "Square ABCE is divided into 2 parts, X and Y. AB = 20 cm and CD = 4 cm. What is the difference in the perimeter between Figure X and Figure Y? [?]", "answer0": "8", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 138, "difficulty_id": 3, "explanation": "The square has side 20 cm. The dividing curve is shared by both figures, so the difference in perimeter comes only from the straight edges each figure owns. Figure Y borders AB (20) and part of AE; Figure X borders ED, DC (4), CB and the rest of AE. Difference = (20 + AB-side portion) compared with X's straight edges = 8 cm. Answer: 8 cm.", "hints": ["The curved boundary is common to both figures, so it cancels in the difference.", "Compare only the straight square-edge segments belonging to each part."], "source": "Rosyth 2023 P5 Weighted Assessment 1 Q9", "image_needed": true, "image_options": false, "image_file": "q9.png", "image_page": 7, "image_bbox": [0.20, 0.13, 0.55, 0.36], "image_loc": "square ABCE diagram below the question text, upper-left of page", "notes": "Key: 8cm. Unit cm. Answer is whole number so FIB." }, { "n": 10, "type_id": 2, "question": "Use all the digits 5, 6, 1, 8 to form
a) the largest 4-digit odd number. [?]
b) the number closest to 6000. [?]", "answer0": "8651", "answer1": "5861", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 107, "difficulty_id": 2, "explanation": "(a) Largest 4-digit odd number: place the biggest digits first but end in an odd digit. Largest odd ending digit is 5 (since 1 would waste a big digit), giving 8 6 5... but to be odd it must end in 1 or 5; arranging 8,6 then odd last: 8651 is odd and largest. Answer: 8651. (b) Numbers near 6000 using these digits: 5861 (closest below) versus 6158; 6000 - 5861 = 139, 6158 - 6000 = 158, so 5861 is closest. Answer: 5861.", "hints": ["For the largest odd number, the last digit must be odd; use the rest in descending order.", "For closest to 6000, try numbers just below and just above 6000 and compare the gaps."], "source": "Rosyth 2023 P5 Weighted Assessment 1 Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: a)8651 b)5861. Two blanks, two answers in order." }, { "n": 11, "type_id": 2, "question": "Find the value of \\((30 - 17) + 4 \\times 6 - 20\\). [?]", "answer0": "17", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 155, "difficulty_id": 2, "explanation": "Brackets first: \\(30 - 17 = 13\\). Multiplication: \\(4 \\times 6 = 24\\). Then \\(13 + 24 - 20 = 17\\). Answer: 17.", "hints": ["Do the brackets first, then multiplication.", "13 + 24 - 20."], "source": "Rosyth 2023 P5 Weighted Assessment 1 Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 17." }, { "n": 12, "type_id": 2, "question": "Marie was given some money to spend at a carnival. She asked for $20 more as she needed more money. After she spent $40.85, she had $5.35 left. How much did Marie have at first? [?]", "answer0": "26.20", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 2, "explanation": "Money after asking for more = amount spent + left = $40.85 + $5.35 = $46.20. This included the extra $20, so at first she had $46.20 - $20 = $26.20. Answer: $26.20.", "hints": ["Total she had after the extra $20 = spent + left.", "Subtract the $20 she asked for to get the original amount."], "source": "Rosyth 2023 P5 Weighted Assessment 1 Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: $26.20. Money decimal answer kept as FIB." }, { "n": 13, "type_id": 2, "question": "Carrine had 18 kg of flour. She used \\(\\dfrac{5}{9}\\) of it to bake cookies. How much flour had she left? [?]", "answer0": "8", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 165, "difficulty_id": 2, "explanation": "She used \\(\\dfrac{5}{9}\\), so \\(\\dfrac{4}{9}\\) is left. \\(\\dfrac{4}{9} \\times 18 = 8\\) kg. Answer: 8 kg.", "hints": ["Fraction left = 1 - 5/9 = 4/9.", "Multiply 4/9 by 18 kg."], "source": "Rosyth 2023 P5 Weighted Assessment 1 Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 8kg. Unit kg. Whole-number answer so FIB." }, { "n": 14, "type_id": 2, "question": "Mdm Lim went to a supermarket to buy 29 oranges. The oranges were priced at $0.70 each or $5.00 per bag of 8 oranges. What was the least amount of money that Mdm Lim could have spent on the oranges? [?]", "answer0": "18.50", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 3, "explanation": "Buy 3 bags = 24 oranges for 3 x $5.00 = $15.00. Remaining 5 oranges at $0.70 each = $3.50. Buying a 4th bag ($5.00) for only 5 oranges would cost more, so the cheapest is 3 bags + 5 single = $15.00 + $3.50 = $18.50. Answer: $18.50.", "hints": ["Compare buying bags of 8 versus single oranges.", "Use as many $5 bags as sensible, then buy the rest singly and check it is cheaper than an extra bag."], "source": "Rosyth 2023 P5 Weighted Assessment 1 Q14", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: $18.50. Money decimal answer kept as FIB." }, { "n": 15, "type_id": 2, "question": "Mr Ismail started driving from Singapore to Kuala Lumpur at 05 45. After driving for 2 h 25 min, he stopped and rested for a while before continuing his journey for 3 h 30 min. He reached Kuala Lumpur at 13 30. How long did he rest? (Give your answer in hours and minutes.) [?] h [?] min", "answer0": "1", "answer1": "50", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 135, "difficulty_id": 3, "explanation": "Total time from 05 45 to 13 30 = 7 h 45 min. Driving time = 2 h 25 min + 3 h 30 min = 5 h 55 min. Rest = 7 h 45 min - 5 h 55 min = 1 h 50 min. Answer: 1 h 50 min.", "hints": ["Find the total elapsed time from start to arrival.", "Subtract the two driving durations from the total to get the rest time."], "source": "Rosyth 2023 P5 Weighted Assessment 1 Q15", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 1h 50min. Two blanks: hours then minutes." }, { "n": 16, "type_id": 2, "question": "Hafiz had twice as many stickers as Ken and 3 times as many stickers as Alan. The boys have 462 stickers altogether. How many stickers did Ken have? [?]", "answer0": "126", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 3, "explanation": "Let Alan = a. Hafiz = 3a, so Hafiz has 6 units of a/2... Using units of size 1 = Alan's smallest part: take 1 unit = (1/6) of Hafiz. Hafiz=6u, Ken=3u, Alan=2u; total = 11u = 462, so 1u = 462 ÷ 11 = 42. Ken = 3u = 3 x 42 = 126. Answer: 126.", "hints": ["Express each boy's stickers in equal units (let the smallest common unit = 1).", "Hafiz = 6u, Ken = 3u, Alan = 2u; total 11u = 462."], "source": "Rosyth 2023 P5 Weighted Assessment 1 Q16", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 11u=462, 1u=42, Ken 3u=126." }, { "n": 17, "type_id": 2, "question": "The figure is made up of 4 identical rectangles. Given that the perimeter of the figure is 112 cm, find the total area of the figure. [?]", "answer0": "768", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 138, "difficulty_id": 3, "explanation": "Let one short side = 1u. From the figure the perimeter is made of 14 such units, so 14u = 112, 1u = 8 cm. Each rectangle is 3u by 1u = 24 by 8, area = 192 cm². Four rectangles: 4 x 192 = 768 cm². Answer: 768 cm².", "hints": ["Express the perimeter in equal units from the arrangement of rectangles.", "Find one unit, then the area of one rectangle, then multiply by 4."], "source": "Rosyth 2023 P5 Weighted Assessment 1 Q17", "image_needed": true, "image_options": false, "image_file": "q17.png", "image_page": 14, "image_bbox": [0.18, 0.13, 0.50, 0.27], "image_loc": "figure of 4 rectangles below the question text, upper-left of page", "notes": "Key: 14u=112, 1u=8, one rectangle 192cm2, total 4x192=768cm2. Unit cm2." }, { "n": 18, "type_id": 2, "question": "There are three laptops for sale. The total cost of laptop A and laptop B is $2215. The total cost of laptop B and laptop C is $3709. Laptop C costs four times as much as laptop A.
a) How much more does laptop C cost than laptop A? [?]
b) How much does laptop B cost? [?]", "answer0": "1494", "answer1": "1717", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 3, "explanation": "(B+C) - (A+B) = C - A = $3709 - $2215 = $1494. (a) Answer: $1494. Since C = 4A, C - A = 3A = 1494, so A = $498 and C = $1992. Laptop B = $2215 - A = $2215 - $498 = $1717. (b) Answer: $1717.", "hints": ["Subtract the two given totals to find C - A directly.", "C = 4A means C - A = 3A; find A, then B = 2215 - A."], "source": "Rosyth 2023 P5 Weighted Assessment 1 Q18", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: a)$1494 b)$1717. Two blanks for parts (a) and (b)." }, { "n": 19, "type_id": 2, "question": "Joseph wants to make 10 small identical rabbits and 5 large identical rabbits using wire. He has made 9 small rabbits and 3 large ones using 648 cm of wire. The length of wire he used for 2 large rabbits is the same as that for 3 small rabbits.
a) What is the length of wire needed to make one large rabbit? [?]
b) What is the length of wire needed to make the remaining rabbits? Leave your answer in cm. [?]", "answer0": "72", "answer1": "192", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 3, "explanation": "Let small = s, large = l, with 2l = 3s. Made: 9s + 3l = 648. Substitute l = 1.5s: 9s + 3(1.5s) = 9s + 4.5s = 13.5s = 648, so s = 48 cm and l = 72 cm. (a) One large rabbit = 72 cm. Remaining = (10 - 9) small + (5 - 3) large = 1 small + 2 large = 48 + 2(72) = 48 + 144 = 192 cm. (b) Answer: 192 cm.", "hints": ["Use 2 large = 3 small to write large in terms of small (or vice versa).", "Solve 9 small + 3 large = 648, then find the wire for the leftover 1 small and 2 large rabbits."], "source": "Rosyth 2023 P5 Weighted Assessment 1 Q19", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: a)72cm b)192cm. Two blanks for parts (a) and (b). (PDF mislabels part b's answer line as '(a)'.)" } ] }