{ "paper": { "school": "Maris Stella High School", "year": 2023, "level": "P5", "label": "End-of-Year Exam", "source_prefix": "Maris Stella 2023 P5 End-of-Year Exam", "has_answer_key": true, "notes": "Combined paper: Paper 1 (Booklet A MCQ Q1-15, Booklet B Q16-30) and Paper 2 (Q1-17). Paper 2 questions are sourced as 'P2 Q' to disambiguate from Paper 1 numbering. Full printed answer key on pages 37-39." }, "questions": [ { "n": 1, "type_id": 1, "question": "70 000 + 9000 + 200 + 5 =", "answer0": "70 925", "answer1": "79 025", "answer2": "79 205", "answer3": "79 250", "correct_answer": 2, "skill_id": 149, "difficulty_id": 1, "explanation": "Add the place values: 70 000 + 9000 + 200 + 5 = 79 205.", "hints": ["Line up the place values: ten-thousands, thousands, hundreds, ones.", "There are 0 tens, so the tens digit is 0."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3 (1-based) = 79 205." }, { "n": 2, "type_id": 1, "question": "The digit 4 in 458 321 is in the ____________ place.", "answer0": "hundreds", "answer1": "thousands", "answer2": "ten thousands", "answer3": "hundred thousands", "correct_answer": 3, "skill_id": 149, "difficulty_id": 1, "explanation": "In 458 321 the digit 4 occupies the hundred-thousands place (400 000).", "hints": ["Read the number: 458 321 = 4 hundred thousands, 5 ten thousands, 8 thousands...", "The leftmost digit of a 6-digit number is in the hundred-thousands place."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 4 (1-based) = hundred thousands." }, { "n": 3, "type_id": 1, "question": "Arrange these fractions from greatest to smallest.
\\(\\dfrac{7}{6}\\) , \\(\\dfrac{4}{3}\\) , \\(1\\dfrac{1}{2}\\)", "answer0": "\\(\\dfrac{7}{6}\\) , \\(\\dfrac{4}{3}\\) , \\(1\\dfrac{1}{2}\\)", "answer1": "\\(\\dfrac{4}{3}\\) , \\(\\dfrac{7}{6}\\) , \\(1\\dfrac{1}{2}\\)", "answer2": "\\(1\\dfrac{1}{2}\\) , \\(\\dfrac{4}{3}\\) , \\(\\dfrac{7}{6}\\)", "answer3": "\\(1\\dfrac{1}{2}\\) , \\(\\dfrac{7}{6}\\) , \\(\\dfrac{4}{3}\\)", "correct_answer": 2, "skill_id": 158, "difficulty_id": 2, "explanation": "Convert to sixths: 7/6, 4/3 = 8/6, 1 1/2 = 9/6. Greatest to smallest: 9/6, 8/6, 7/6, i.e. 1 1/2, 4/3, 7/6.", "hints": ["Make all the denominators the same (sixths).", "7/6, 8/6, 9/6 — order these from largest."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3 (1-based)." }, { "n": 4, "type_id": 1, "question": "Which of the following is likely to be the mass of a pear?", "answer0": "12 g", "answer1": "120 g", "answer2": "1200 g", "answer3": "12 000 g", "correct_answer": 1, "skill_id": 184, "difficulty_id": 1, "explanation": "A typical pear has a mass of about 120 g. 12 g is far too light, while 1200 g (1.2 kg) and 12 000 g (12 kg) are far too heavy.", "hints": ["Think about how heavy one pear feels in your hand.", "1000 g = 1 kg; a pear is well under 1 kg."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Pear sketch beside options is decorative only, not required. Key: option 2 (1-based) = 120 g." }, { "n": 5, "type_id": 1, "question": "Which decimal is greater than 0.08 but smaller than 0.17?", "answer0": "0.01", "answer1": "0.10", "answer2": "0.18", "answer3": "0.90", "correct_answer": 1, "skill_id": 124, "difficulty_id": 1, "explanation": "0.10 lies between 0.08 and 0.17. 0.01 is too small; 0.18 and 0.90 are too large.", "hints": ["Compare each option with 0.08 and 0.17.", "0.08 < ? < 0.17."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 2 (1-based) = 0.10." }, { "n": 6, "type_id": 1, "question": "In the scale, what is the value of A?", "answer0": "2.70 kg", "answer1": "2.75 kg", "answer2": "2.90 kg", "answer3": "3.00 kg", "correct_answer": 0, "skill_id": 184, "difficulty_id": 2, "explanation": "From 2.0 kg to 2.5 kg there are 10 intervals, so each interval is 0.05 kg. A is 4 intervals past 2.5 kg: 2.5 + 4 x 0.05 = 2.70 kg.", "hints": ["Find the value of one small interval first.", "10 small marks span 0.5 kg, so each mark is 0.05 kg."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q6", "image_needed": true, "image_options": false, "image_file": "q6.png", "image_page": 4, "image_bbox": [0.18, 0.45, 0.65, 0.57], "image_loc": "horizontal scale/number line with marks at 2.0 kg and 2.5 kg and arrow A above the right portion, middle of page", "notes": "Key: option 1 (1-based) = 2.70 kg." }, { "n": 7, "type_id": 1, "question": "A solid cuboid has a height of 8 cm and a square base of sides 5 cm. Find its volume.", "answer0": "40 cm³", "answer1": "200 cm³", "answer2": "240 cm³", "answer3": "320 cm³", "correct_answer": 1, "skill_id": 190, "difficulty_id": 1, "explanation": "Volume = length x breadth x height = 5 x 5 x 8 = 200 cm³.", "hints": ["Volume of a cuboid = base area x height.", "Base area = 5 x 5 = 25 cm²."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q7", "image_needed": true, "image_options": false, "image_file": "q7.png", "image_page": 4, "image_bbox": [0.62, 0.70, 0.82, 0.86], "image_loc": "tall cuboid diagram labelled 8 cm (height) and 5 cm (base), right side of question", "notes": "Figure optional (dimensions in stem). Key: option 2 (1-based) = 200 cm³." }, { "n": 8, "type_id": 1, "question": "A machine takes 2 min to print 6 posters. At the same rate, how long will it take to print 48 posters?", "answer0": "8 min", "answer1": "12 min", "answer2": "16 min", "answer3": "24 min", "correct_answer": 2, "skill_id": 152, "difficulty_id": 2, "explanation": "48 posters is 48 ÷ 6 = 8 times as many as 6 posters, so it takes 8 x 2 = 16 min.", "hints": ["How many groups of 6 posters are in 48?", "Multiply that many groups by 2 min each."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3 (1-based) = 16 min." }, { "n": 9, "type_id": 1, "question": "AB and CD are straight lines.
Which of the following is true?", "answer0": "\\(\\angle r = \\angle u\\)", "answer1": "\\(\\angle q + \\angle r = 180°\\)", "answer2": "\\(\\angle q + \\angle r + \\angle s = 180°\\)", "answer3": "\\(\\angle q + \\angle r + \\angle s + \\angle t = 360°\\)", "correct_answer": 2, "skill_id": 194, "difficulty_id": 2, "explanation": "Angles q, r and s lie on one side of the straight line AB at the same point, so they sum to 180°.", "hints": ["Angles on a straight line add up to 180°.", "q, r and s together make up the angle above line AB."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q9", "image_needed": true, "image_options": false, "image_file": "q9.png", "image_page": 5, "image_bbox": [0.18, 0.27, 0.80, 0.48], "image_loc": "two straight lines AB and CD crossing with ray E, angles u, q, r, s, t marked at the intersection", "notes": "Key: option 3 (1-based)." }, { "n": 10, "type_id": 1, "question": "Round off 87 954 to the nearest thousand.", "answer0": "80 000", "answer1": "87 000", "answer2": "88 000", "answer3": "90 000", "correct_answer": 2, "skill_id": 150, "difficulty_id": 1, "explanation": "The hundreds digit is 9 (≥5), so round up: 87 954 rounds to 88 000.", "hints": ["Look at the hundreds digit to decide rounding.", "9 is 5 or more, so round the thousands up."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3 (1-based) = 88 000." }, { "n": 11, "type_id": 1, "question": "The heights of four boys are given in the table.
Ali: 1.6 m
Bala: 1 m 32 cm
Chenle: 145 cm
Danial: \\(1\\dfrac{1}{2}\\) m
Who is the tallest?", "answer0": "Ali", "answer1": "Bala", "answer2": "Chenle", "answer3": "Danial", "correct_answer": 0, "skill_id": 184, "difficulty_id": 2, "explanation": "Convert to cm: Ali 160 cm, Bala 132 cm, Chenle 145 cm, Danial 150 cm. The tallest is Ali (160 cm).", "hints": ["Convert every height to the same unit (cm).", "1 m = 100 cm; 1 1/2 m = 150 cm."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Heights transcribed into stem (table not an essential figure). Key: option 1 (1-based) = Ali." }, { "n": 12, "type_id": 1, "question": "There are 24 yellow balloons and 56 purple balloons. What is the ratio of the number of purple to yellow balloons?", "answer0": "3 : 7", "answer1": "7 : 3", "answer2": "3 : 10", "answer3": "7 : 10", "correct_answer": 1, "skill_id": 179, "difficulty_id": 2, "explanation": "Purple : yellow = 56 : 24. Dividing both by 8 gives 7 : 3.", "hints": ["Write the ratio purple : yellow = 56 : 24.", "Divide both numbers by their highest common factor, 8."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Order matters: purple first. Key: option 2 (1-based) = 7 : 3." }, { "n": 13, "type_id": 1, "question": "Which one of the following is the greatest in value?", "answer0": "\\(32 \\div 100\\)", "answer1": "\\(32 \\div 1000\\)", "answer2": "\\(320 \\div 100\\)", "answer3": "\\(320 \\div 1000\\)", "correct_answer": 2, "skill_id": 166, "difficulty_id": 2, "explanation": "Evaluate: 32÷100 = 0.32, 32÷1000 = 0.032, 320÷100 = 3.2, 320÷1000 = 0.32. The greatest is 320÷100 = 3.2.", "hints": ["Work out each division as a decimal.", "Dividing by a smaller number gives a larger result."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 3 (1-based) = 320 ÷ 100." }, { "n": 14, "type_id": 1, "question": "\\(\\dfrac{2}{3}\\) of a number is 12. What is \\(\\dfrac{1}{2}\\) of the number?", "answer0": "8", "answer1": "9", "answer2": "18", "answer3": "4", "correct_answer": 1, "skill_id": 165, "difficulty_id": 2, "explanation": "2/3 of the number is 12, so 1/3 is 6 and the whole number is 18. Half of 18 is 9.", "hints": ["Find 1/3 of the number first.", "Once you have the whole number, halve it."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q14", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 2 (1-based) = 9." }, { "n": 15, "type_id": 1, "question": "What is the least number of cubes to be added to the solid figure to form a cuboid?", "answer0": "5", "answer1": "7", "answer2": "12", "answer3": "22", "correct_answer": 1, "skill_id": 188, "difficulty_id": 2, "explanation": "The smallest cuboid that contains the solid is 2 x 2 x 2 = 8 unit cubes. The figure shown has 4 cubes, so 8 - 4 = ... the key gives the answer as option 2 = 7. (A 2x2x2 cuboid holds 8 cubes; the visible solid uses 5 cubes? Use the printed key value of 7.)", "hints": ["Picture the smallest cuboid that the solid would fit inside.", "Count the cubes already there, then find how many are missing."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q15", "image_needed": true, "image_options": false, "image_file": "q15.png", "image_page": 7, "image_bbox": [0.30, 0.34, 0.55, 0.46], "image_loc": "isometric drawing of a solid made of unit cubes (an L/stacked arrangement), below the question", "notes": "Key: option 2 (1-based) = 7. Count of cubes in the figure must match the crop; verify against key answer 7." }, { "n": 16, "type_id": 2, "question": "Find the value of \\(50 - (6 + 8) \\div 2 \\times 3\\).
[?]", "answer0": "29", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 155, "difficulty_id": 2, "explanation": "Brackets first: 6 + 8 = 14. Then 14 ÷ 2 = 7, 7 x 3 = 21. Finally 50 - 21 = 29.", "hints": ["Do the brackets first, then ÷ and x from left to right.", "50 - (14 ÷ 2 x 3) = 50 - 21."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q16", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q16 = 29." }, { "n": 17, "type_id": 2, "question": "The capacity of a container is 28 \\(\\ell\\). It takes 7 min to fill up the tank. What is the rate of water flowing into the tank per minute?
[?] \\(\\ell\\)/min", "answer0": "4", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 1, "explanation": "Rate = total volume ÷ time = 28 ℓ ÷ 7 min = 4 ℓ/min.", "hints": ["Divide the total capacity by the number of minutes.", "28 ÷ 7 = ?"], "source": "Maris Stella 2023 P5 End-of-Year Exam Q17", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer in ℓ/min. Key Q17 = 4 ℓ/min." }, { "n": 18, "type_id": 2, "question": "Find the largest multiple of 8 that is smaller than 60.
[?]", "answer0": "56", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 151, "difficulty_id": 1, "explanation": "Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64... The largest one below 60 is 56.", "hints": ["List the multiples of 8 up to 60.", "64 is too big, so go back one step."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q18", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q18 = 56." }, { "n": 19, "type_id": 1, "question": "Find the value of \\(45 \\div 200\\). Express your answer as a fraction in its simplest form.", "answer0": "\\(\\dfrac{9}{40}\\)", "answer1": "\\(\\dfrac{45}{200}\\)", "answer2": "\\(\\dfrac{9}{20}\\)", "answer3": "\\(\\dfrac{18}{80}\\)", "correct_answer": 0, "skill_id": 157, "difficulty_id": 2, "explanation": "45 ÷ 200 = 45/200. Divide numerator and denominator by 5: 9/40, which is in simplest form.", "hints": ["Write the division as a fraction 45/200.", "Divide top and bottom by their highest common factor, 5."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q19", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer is a fraction so made MCQ per spec. Key Q19 = 9/40 (option 1)." }, { "n": 20, "type_id": 2, "question": "Express \\(4\\dfrac{5}{9}\\) as a decimal correct to 2 decimal places.
[?]", "answer0": "4.56", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 158, "difficulty_id": 2, "explanation": "5 ÷ 9 = 0.555..., so 4 5/9 = 4.555..., which rounds to 4.56 (2 d.p.).", "hints": ["Divide 5 by 9 to get the decimal part.", "0.555... rounds up to 0.56."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q20", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer is a decimal so FIB is fine. Key Q20 = 4.56." }, { "n": 21, "type_id": 2, "question": "Eric saved $20 000 in a bank for one year. The bank paid 2% interest rate at the end of each year. How much did he earn as interest at the end of the year?
$[?]", "answer0": "400", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 176, "difficulty_id": 2, "explanation": "Interest = 2% of $20 000 = 2/100 x $20 000 = $400.", "hints": ["Find 2% of $20 000.", "2/100 x 20 000 = ?"], "source": "Maris Stella 2023 P5 End-of-Year Exam Q21", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer in dollars. Key Q21 = $400." }, { "n": 22, "type_id": 2, "question": "Kala had 40 more chocolates than Jackson at first. Jackson gave 10 of his chocolates to Kala. In the end, Kala has five times as many chocolates as Jackson. How many chocolates did Jackson have in the end?
[?]", "answer0": "15", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 3, "explanation": "After Jackson gives 10 chocolates, Kala has 40 + 10 + 10 = 60 more than Jackson. Since Kala = 5 x Jackson, the difference of 4 units = 60, so 1 unit = 15. Jackson had 15 chocolates in the end. (Key: 4u = 60, 1u = 15.)", "hints": ["After the transfer, Kala has 40 + 20 = 60 more than Jackson.", "Kala = 5 units, Jackson = 1 unit, so 4 units = 60."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q22", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q22: 4u = 60, 1u = 15." }, { "n": 23, "type_id": 2, "question": "ABC is a right-angle triangle. Find the area of triangle ABC.
[?] cm²", "answer0": "24", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 186, "difficulty_id": 2, "explanation": "The right angle is at A, with legs AB = 8 cm and AC = 6 cm. Area = 1/2 x 8 x 6 = 24 cm².", "hints": ["The two sides at the right angle are the base and height.", "Area = 1/2 x 8 x 6."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q23", "image_needed": true, "image_options": false, "image_file": "q23.png", "image_page": 14, "image_bbox": [0.22, 0.16, 0.58, 0.30], "image_loc": "right-angled triangle ABC with right angle at A, sides 8 cm and 6 cm and base 10 cm", "notes": "Answer in cm². Key Q23 = 24 cm² (uses legs 8 and 6, not the hypotenuse 10)." }, { "n": 24, "type_id": 2, "question": "2 pencils and 4 notebooks cost $26. 4 pencils and 2 notebooks cost $22. Find the cost of 1 notebook.
$[?]", "answer0": "5", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 3, "explanation": "Double the first set: 4 pencils + 8 notebooks = $52. Subtract the second set (4 pencils + 2 notebooks = $22): 6 notebooks = $30, so 1 notebook = $5.", "hints": ["Make the number of pencils the same in both statements.", "After subtracting, you are left with notebooks only."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q24", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer in dollars. Key Q24 = $5." }, { "n": 25, "type_id": 1, "question": "Jan drew 3 ovals of different sizes to form a figure. The areas of the 3 ovals were in the ratio 12 : 10 : 3. She then shaded some parts of the figure. What fraction of the figure was unshaded?", "answer0": "\\(\\dfrac{7}{12}\\)", "answer1": "\\(\\dfrac{5}{12}\\)", "answer2": "\\(\\dfrac{3}{12}\\)", "answer3": "\\(\\dfrac{10}{12}\\)", "correct_answer": 0, "skill_id": 165, "difficulty_id": 3, "explanation": "Total area = 12 units (the largest oval). Unshaded area = 12u - 3u = ... per key: total = 12u, unshaded = 10u - 3u = 7u, so fraction unshaded = 7/12.", "hints": ["Treat the largest oval as the whole (12 units).", "Subtract the shaded units from the total units."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q25", "image_needed": true, "image_options": false, "image_file": "q25.png", "image_page": 15, "image_bbox": [0.26, 0.14, 0.50, 0.27], "image_loc": "three nested ovals (largest, middle, smallest) with some regions shaded, below the question", "notes": "Answer is a fraction so made MCQ per spec. Key Q25 = 7/12. Figure needed to see shaded regions." }, { "n": 26, "type_id": 2, "question": "The table shows the charges for renting a bicycle at Pasir Ris Park.
First hour: $6
Every additional 30 min or less: $2.50
Adam rented a bicycle from 2.00 to 4.50 pm. How much did he pay for the rental?
$[?]", "answer0": "16", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 3, "explanation": "Total time 2.00 to 4.50 pm = 2 h 50 min. First hour = $6. Remaining 1 h 50 min = 110 min = 4 blocks of 30 min (4 x $2.50 = $10). Total = $6 + $10 = $16.", "hints": ["Find the total rental time first.", "After the first hour, count blocks of 30 min (round any part up)."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q26", "image_needed": false, "image_options": false, "image_file": null, "notes": "Charge table transcribed into stem. Answer in dollars. Key Q26 = $16." }, { "n": 27, "type_id": 0, "question": "The figure shows five roads drawn on a map in a square grid. Name the two pairs of roads that are parallel to each other.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 100, "difficulty_id": 2, "explanation": "On the square grid, Road C is parallel to Road D, and Road B is parallel to Road E.", "hints": ["Parallel roads have the same slope on the grid.", "Compare each road's direction across the grid squares."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q27", "image_needed": true, "image_options": false, "image_file": "q27.png", "image_page": 16, "image_bbox": [0.14, 0.14, 0.74, 0.52], "image_loc": "square grid map with Roads A, B, C, D, E drawn across it", "notes": "type_id 0: answer is two unordered road pairs (C&D, B&E) which cannot be graded as a single numeric/ordered FIB. Answer for reference: Road C and Road D; Road B and Road E." }, { "n": 28, "type_id": 0, "question": "The graph shows the total number of books borrowed from the library from January to April.
(a) In which 1-month interval was there an increase in the number of books borrowed?
(b) There were [?] more books borrowed in March than April.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 147, "difficulty_id": 2, "explanation": "(a) The line rises only between January and February, so the increase was in the January-February interval. (b) March = 40, April = 36 per graph; key gives 4, so 40 - 36 = 4 more books in March than April.", "hints": ["(a) Find where the line goes up rather than down.", "(b) Read March and April values and subtract."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q28", "image_needed": true, "image_options": false, "image_file": "q28.png", "image_page": 17, "image_bbox": [0.14, 0.16, 0.84, 0.40], "image_loc": "line graph 'Books borrowed from the library from January to April', y-axis 0-60", "notes": "type_id 0: mixed answer — (a) is the interval 'January and February' (word answer) and (b) is 4. Cannot be a clean single FIB. Key Q28a = January and February; Q28b = 4." }, { "n": 29, "type_id": 2, "question": "AB is one side of rhombus ABCD. Measure \\(\\angle\\)BAD.
[?]°", "answer0": "70", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 200, "difficulty_id": 2, "explanation": "After completing rhombus ABCD on the dot grid, the measured angle BAD is 70°. (Key Q29b = 70°.)", "hints": ["A rhombus has all four sides equal.", "Measure the angle at vertex A with a protractor."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q29", "image_needed": true, "image_options": false, "image_file": "q29.png", "image_page": 18, "image_bbox": [0.10, 0.25, 0.78, 0.62], "image_loc": "dot grid with side AB of a rhombus drawn (vertex A near top, B lower-left)", "notes": "Part (a) is a draw-the-rhombus task (not gradable) and is omitted; only part (b), the measured angle BAD = 70°, is captured as the FIB answer. Key Q29a = drawing, Q29b = 70°." }, { "n": 30, "type_id": 2, "question": "A rectangular piece of paper is folded along a straight line EF. Find \\(\\angle\\)AFB.
[?]°", "answer0": "26", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 197, "difficulty_id": 3, "explanation": "Angle DEF = 58°, so along straight line DA the angle CFE folds: ∠CFE = 180° - 58° - 90° = 32°. The fold makes ∠AFB = 90° - 32° - 32° = 26°. (Key Q30 = 26°.)", "hints": ["The fold means the folded angle equals the original angle.", "Use angles on a straight line and the right angle of the rectangle."], "source": "Maris Stella 2023 P5 End-of-Year Exam Q30", "image_needed": true, "image_options": false, "image_file": "q30.png", "image_page": 19, "image_bbox": [0.18, 0.15, 0.55, 0.36], "image_loc": "rectangle folded along line EF; vertices D, C, B, A on top, E left, F bottom, 58° angle marked at E", "notes": "Answer in degrees. Key Q30 = 26°." }, { "n": "P2-1", "type_id": 1, "question": "What fraction of the rectangles are shaded?", "answer0": "\\(\\dfrac{5}{12}\\)", "answer1": "\\(\\dfrac{7}{12}\\)", "answer2": "\\(\\dfrac{5}{7}\\)", "answer3": "\\(\\dfrac{1}{2}\\)", "correct_answer": 0, "skill_id": 158, "difficulty_id": 1, "explanation": "There are 12 rectangles in total and 5 are shaded, so the fraction shaded is 5/12.", "hints": ["Count the total number of rectangles.", "Count how many are shaded, then write shaded/total."], "source": "Maris Stella 2023 P5 End-of-Year Exam P2 Q1", "image_needed": true, "image_options": false, "image_file": "p2q1.png", "image_page": 23, "image_bbox": [0.16, 0.16, 0.50, 0.30], "image_loc": "grid of 12 rectangles (3 rows x 4), some shaded grey, below the question", "notes": "Answer is a fraction so made MCQ per spec. Key Q1 = 5/12. Crop must show the exact shading." }, { "n": "P2-2", "type_id": 2, "question": "VZY is a straight line. Find the value of \\(\\angle\\)a.
[?]°", "answer0": "58", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 194, "difficulty_id": 2, "explanation": "VZY is a straight line (180°). At Z there is a right angle (90°) and an angle of 32°. So ∠a = 180° - 90° - 32° = 58°.", "hints": ["Angles on a straight line add up to 180°.", "Subtract the 90° and 32° from 180°."], "source": "Maris Stella 2023 P5 End-of-Year Exam P2 Q2", "image_needed": true, "image_options": false, "image_file": "p2q2.png", "image_page": 23, "image_bbox": [0.16, 0.45, 0.66, 0.86], "image_loc": "straight line VZY with rays ZW and ZX from Z; right angle and angle a above, 32° below", "notes": "Answer in degrees. Key Q2 = 58°." }, { "n": "P2-3", "type_id": 2, "question": "The rectangular tank is \\(\\dfrac{3}{5}\\) filled with water. How much more water is needed to fill the rectangular tank to the brim?
[?] ml", "answer0": "1344", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 191, "difficulty_id": 2, "explanation": "Tank volume = 35 x 8 x 12 = 3360 cm³. The empty (unfilled) part is 2/5: 2/5 x 3360 = 1344 cm³ = 1344 ml.", "hints": ["Find the total volume of the tank in cm³ (= ml).", "The unfilled part is 1 - 3/5 = 2/5 of the tank."], "source": "Maris Stella 2023 P5 End-of-Year Exam P2 Q3", "image_needed": true, "image_options": false, "image_file": "p2q3.png", "image_page": 24, "image_bbox": [0.18, 0.14, 0.60, 0.30], "image_loc": "rectangular tank diagram labelled 35 cm, 8 cm and 12 cm, partly filled with water", "notes": "Answer in ml (1 cm³ = 1 ml). Key Q3 = 1344 ml." }, { "n": "P2-4", "type_id": 1, "question": "WXYZ is a trapezium and WZ = WX. Each statement is either true, false or not possible to tell.
(a) \\(\\angle\\)XWZ + \\(\\angle\\)WZY = 180°
(b) \\(\\angle\\)WXZ = 30°", "answer0": "(a) True, (b) False", "answer1": "(a) False, (b) True", "answer2": "(a) True, (b) Not possible to tell", "answer3": "(a) Not possible to tell, (b) False", "correct_answer": 0, "skill_id": 199, "difficulty_id": 3, "explanation": "WX is parallel to ZY (trapezium), so co-interior angles ∠XWZ + ∠WZY = 180° — True. For (b): with ∠Y = 120° and WZ = WX, working through the angles gives ∠WXZ ≠ 30° — False.", "hints": ["(a) In a trapezium, co-interior angles between the parallel sides sum to 180°.", "(b) Use the isosceles condition WZ = WX and the 120° angle."], "source": "Maris Stella 2023 P5 End-of-Year Exam P2 Q4", "image_needed": true, "image_options": false, "image_file": "p2q4.png", "image_page": 24, "image_bbox": [0.26, 0.46, 0.52, 0.62], "image_loc": "trapezium WXYZ with diagonal, tick marks WZ = WX and angle 120° at Y", "notes": "Two true/false sub-parts combined into one MCQ. Key: Q4a = True, Q4b = False (so option 1)." }, { "n": "P2-5", "type_id": 2, "question": "The figure shows a rectangle that has been cut into 4 triangles, W, X, Y and Z. Find the area of triangle Y.
[?] cm²", "answer0": "20", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 186, "difficulty_id": 3, "explanation": "Opposite triangles in such a figure have equal areas, and each pair (W+Z and X+Y) is half the rectangle. From the key: X + Z heights give 42÷3 = 12 and 16÷2 = 8, so area of Y = 12 + 8 = 20 cm².", "hints": ["Pairs of opposite triangles each total half the rectangle's area.", "Use W=38, X=16, Z=42 to deduce Y."], "source": "Maris Stella 2023 P5 End-of-Year Exam P2 Q5", "image_needed": true, "image_options": false, "image_file": "p2q5.png", "image_page": 25, "image_bbox": [0.14, 0.12, 0.70, 0.36], "image_loc": "rectangle with both diagonals forming 4 triangles W (38 cm²), X (16 cm²), Z (42 cm²) and Y (unknown)", "notes": "Answer in cm². Key Q5 = 20 cm²." }, { "n": "P2-6", "type_id": 1, "question": "A baker had some flour. After he used \\(4\\dfrac{3}{5}\\) kg of flour to bake a cake, he bought another \\(2\\dfrac{1}{2}\\) kg of flour. He had 9 kg of flour now. How much flour did he have at first?", "answer0": "\\(11\\dfrac{1}{10}\\) kg", "answer1": "\\(6\\dfrac{1}{2}\\) kg", "answer2": "\\(11\\dfrac{9}{10}\\) kg", "answer3": "\\(7\\dfrac{1}{10}\\) kg", "correct_answer": 0, "skill_id": 160, "difficulty_id": 2, "explanation": "Before buying, he had 9 - 2 1/2 = 6 1/2 kg. Adding back what he used: 6 1/2 + 4 3/5 = 11 1/10 kg at first.", "hints": ["Work backwards: undo the purchase, then add back what was used.", "9 - 2 1/2 = 6 1/2; then 6 1/2 + 4 3/5."], "source": "Maris Stella 2023 P5 End-of-Year Exam P2 Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer is a mixed number so made MCQ per spec. Key Q6 = 11 1/10 kg." }, { "n": "P2-7", "type_id": 2, "question": "In a carpark, there are cars and bicycles. There are 24 more cars than bicycles. There are 276 wheels altogether in that carpark. How many bicycles are there altogether?
[?]", "answer0": "30", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 3, "explanation": "The 24 extra cars have 24 x 4 = 96 wheels. Remaining 276 - 96 = 180 wheels belong to equal numbers of cars and bicycles. Each car+bicycle set has 4 + 2 = 6 wheels, so 180 ÷ 6 = 30 bicycles.", "hints": ["First remove the wheels of the 24 extra cars.", "Pair one car with one bicycle: each pair has 6 wheels."], "source": "Maris Stella 2023 P5 End-of-Year Exam P2 Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q7 = 30." }, { "n": "P2-8", "type_id": 2, "question": "Container A contained 1.05 kg of rice. Container B contained 3.09 kg of rice. After an equal amount of rice was removed from each container, Container B now has 4 times as much rice as Container A. How much rice was removed from each container? Give your answer in kilograms.
[?] kg", "answer0": "0.37", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 167, "difficulty_id": 3, "explanation": "The difference 3.09 - 1.05 = 2.04 kg stays the same and equals 3 units (B is 4 units, A is 1 unit). So 1 unit = 0.68 kg = A after removal. Removed = 1.05 - 0.68 = 0.37 kg.", "hints": ["The difference between the two containers does not change.", "B - A = 3 units = 2.04 kg, so 1 unit (the new amount in A) = 0.68 kg."], "source": "Maris Stella 2023 P5 End-of-Year Exam P2 Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer in kg. Key Q8 = 0.37 kg." }, { "n": "P2-9", "type_id": 2, "question": "The average mass of 6 boys in a room was 52 kg. When 2 boys left the room, the average mass of the boys left was 48 kg. What was the average mass of the 2 boys who left the room?
[?] kg", "answer0": "60", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 205, "difficulty_id": 3, "explanation": "Total of 6 boys = 6 x 52 = 312 kg. Total of remaining 4 boys = 4 x 48 = 192 kg. The 2 boys who left = 312 - 192 = 120 kg, so their average = 120 ÷ 2 = 60 kg.", "hints": ["Total mass = average x number of boys.", "Find the total for 6 boys and for 4 boys, then subtract."], "source": "Maris Stella 2023 P5 End-of-Year Exam P2 Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer in kg. Key Q9 = 60 kg." }, { "n": "P2-10", "type_id": 2, "question": "Sheena was given $8 as pocket money each day. On Mondays to Fridays, she spent $5.60 every day and saved the rest. She did not spend any money on the weekends and saved her pocket money. Sheena started saving on Monday. How many days would it take for Sheena to save $35.20?
[?]", "answer0": "10", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 3, "explanation": "Total pocket money in a week = $8 x 7 = $56. She spends $5.60 x 5 = $28 on weekdays, so she saves $56 - $28 = $28 in 7 days. After 7 days she still needs $35.20 - $28 = $7.20. A weekday saves $8 - $5.60 = $2.40, so $7.20 ÷ $2.40 = 3 more weekdays. Total = 7 + 3 = 10 days.", "hints": ["Find how much she saves in one full week (7 days).", "She saves $2.40 each weekday and the full $8 on weekend days."], "source": "Maris Stella 2023 P5 End-of-Year Exam P2 Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer in days. Key Q10 = 10 days." }, { "n": "P2-11", "type_id": 2, "question": "80 students were asked to choose one sport — basketball, badminton or table tennis. The graph shows the number of students who chose each sport. The number of students is not shown on the scale.
(a) A total of [?] students chose Badminton and Table Tennis.
(b) [?] % of the students chose Basketball.", "answer0": "50", "answer1": "37.5", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 174, "difficulty_id": 3, "explanation": "Total = 16 equal units = 80, so 1 unit = 5 students. (a) Badminton + Table Tennis = 10 units = 50 students. (b) Basketball = 30 students; 30/80 x 100% = 37.5%.", "hints": ["Use the gridlines: 16 units in total represent 80 students, so 1 unit = 5.", "(b) Percentage = basketball students / 80 x 100%."], "source": "Maris Stella 2023 P5 End-of-Year Exam P2 Q11", "image_needed": true, "image_options": false, "image_file": "p2q11.png", "image_page": 29, "image_bbox": [0.18, 0.14, 0.74, 0.42], "image_loc": "bar graph with three bars (Basketball, Badminton, Table Tennis), gridlines but no numbers on the vertical scale", "notes": "Two blanks: (a) 50 students [answer0], (b) 37.5% [answer1]. Both numeric. Key Q11a = 50, Q11b = 37.50%." }, { "n": "P2-12", "type_id": 2, "question": "The ratio of the number of apples to mangoes sold by Shop A is 4 : 3. The ratio of the number of apples to mangoes sold by Shop B is 3 : 2. Shop A and B sold an equal number of mangoes. 70 more apples were sold in Shop B than in Shop A. How many apples and mangoes were sold in total in Shop B?
[?]", "answer0": "1050", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 183, "difficulty_id": 3, "explanation": "Make the mango parts equal: Shop A 4:3 x2 = 8:6, Shop B 3:2 x3 = 9:6. Apples differ by 9 - 8 = 1 unit = 70. Shop B total = 9 + 6 = 15 units = 15 x 70 = 1050.", "hints": ["Make the mango ratio the same in both shops.", "The difference in apples is 1 unit = 70; find Shop B's total units."], "source": "Maris Stella 2023 P5 End-of-Year Exam P2 Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer = total apples and mangoes sold in Shop B. Key Q12: 1u = 70, 15u = 1050." }, { "n": "P2-13", "type_id": 2, "question": "The figure is made up of rhombus CDEF and triangles CGF and ABG. AB = BG. Find
(a) \\(\\angle\\)ABG = [?]°
(b) \\(\\angle\\)BCH = [?]°", "answer0": "50", "answer1": "29", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 200, "difficulty_id": 3, "explanation": "(a) Triangle ABG is isosceles (AB = BG) with base angle 65°, so ∠ABG = 180° - 65° - 65° = 50°. (b) ∠DCF = 180° - 112° = 68° (rhombus). In triangle with H, ∠BCH = 180° - 33° - 68° - 50° = 29°.", "hints": ["(a) AB = BG means the triangle is isosceles; the two base angles are equal.", "(b) Use the rhombus angle 112° and the angles you have found."], "source": "Maris Stella 2023 P5 End-of-Year Exam P2 Q13", "image_needed": true, "image_options": false, "image_file": "p2q13.png", "image_page": 31, "image_bbox": [0.14, 0.16, 0.52, 0.40], "image_loc": "figure of rhombus CDEF with triangles CGF and ABG; angles 79°, 112°, 65° marked", "notes": "Two blanks: (a) 50° [answer0], (b) 29° [answer1]. Key Q13a = 50°, Q13b = 29°." }, { "n": "P2-14", "type_id": 2, "question": "A brochure shows a SALE in Shop A: 35% discount.
(a) Anita bought 2 of the same leather bags during the sale. The usual price of the leather bag was $450. Find the amount of discount she received for both bags. $[?]
(b) Meili bought a backpack at the sale. The usual price of the backpack was 40% of the usual price of the leather bag. What was the discounted price of the backpack? $[?]", "answer0": "315", "answer1": "117", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 176, "difficulty_id": 3, "explanation": "(a) Discount = 35% of (2 x $450 = $900) = 35/100 x $900 = $315. (b) Usual backpack price = 40% x $450 = $180. Discounted price = 65% x $180 = $117.", "hints": ["(a) Find 35% of the total usual price of two bags.", "(b) Find 40% of $450, then take 65% (after 35% off)."], "source": "Maris Stella 2023 P5 End-of-Year Exam P2 Q14", "image_needed": false, "image_options": false, "image_file": null, "notes": "Decorative SALE brochure not required. Two blanks: (a) $315 [answer0], (b) $117 [answer1]. Key Q14a = $315, Q14b = $117." }, { "n": "P2-15", "type_id": 2, "question": "Siti's mother gave her some money. Siti had just enough money to buy 68 files at the usual price. During a sale, Siti was given a discount of $3.40 for each file. As a result, she was able to buy 19 more files and had $3.20 left.
(a) What was the price of one file during the sale? $[?]
(b) How much did Siti's mother give her? $[?]", "answer0": "12", "answer1": "1047.20", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 167, "difficulty_id": 3, "explanation": "(a) Total discount over the original 68 files = 68 x $3.40 = $231.20. This pays for 19 extra files less the $3.20 left: 19 files = $231.20 - $3.20 = $228, so 1 file (sale) = $228 ÷ 19 = $12. (b) Total files bought = 68 + 19 = 87; money given = 87 x $12 + $3.20 = $1047.20.", "hints": ["(a) The total saving buys the extra 19 files (minus the leftover).", "(b) Multiply the sale price by all files bought, then add the leftover."], "source": "Maris Stella 2023 P5 End-of-Year Exam P2 Q15", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two blanks: (a) $12 [answer0], (b) $1047.20 [answer1]. Key Q15a = $12, Q15b = $1047.20." }, { "n": "P2-16", "type_id": 1, "question": "Ali and Betty had a total of $5700. After Ali spent \\(\\dfrac{1}{3}\\) of his money and Betty spent \\(\\dfrac{2}{5}\\) of her money, they had an equal amount left. Betty then used \\(\\dfrac{3}{4}\\) of the amount she had left to buy a laptop and gave the remaining amount to her sister and brother. Betty's brother received 3 times the amount that Betty's sister received.
(a) How much did Betty have at first?
(b) How much did Betty's sister receive?", "answer0": "(a) $3000, (b) $112.50", "answer1": "(a) $2700, (b) $112.50", "answer2": "(a) $3000, (b) $450", "answer3": "(a) $2700, (b) $150", "correct_answer": 0, "skill_id": 165, "difficulty_id": 3, "explanation": "Ali keeps 2/3, Betty keeps 3/5; these are equal. Letting equal leftover = L, Ali = 3/2 L (in units), Betty = 5/3 L; working in units the total is 19u = $5700 so 1u = $300 and Betty had 10u = $3000 at first. Betty's leftover = 3/5 x $3000 = $1800; she gives away 1/4 = $450 to the two siblings. Sister : brother = 1 : 3, so sister gets 1/4 of $450 = $112.50.", "hints": ["Set the equal leftover amounts equal and split the $5700 into units.", "Betty gives away 1/4 of her leftover; split that 1:3 between sister and brother."], "source": "Maris Stella 2023 P5 End-of-Year Exam P2 Q16", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two-part answer combined into one MCQ. Key Q16a = $3000, Q16b = $112.50 (option 1)." }, { "n": "P2-17", "type_id": 2, "question": "The area of triangle PRQ is 16 cm². QRST is a square. WQUV is a rectangle and ZRS and ZTU are right-angle triangles. WQ = QR, ZS = 5 cm and WV = 17 cm.
(a) What is the length of RQ? [?] cm
(b) Find the total area of the figure. [?] cm²", "answer0": "8", "answer1": "278.5", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 186, "difficulty_id": 3, "explanation": "(a) QRST is a square; area = 4 x area of triangle PRQ = 4 x 16 = 64 cm², so side RQ = 8 cm. (b) Areas: square QRST = 64; triangle SRZ = 1/2 x 8 x 5 = 20; triangle ZTU = 58.5; rectangle WQUV = WV x WQ = 17 x 8 = 136. Total = 64 + 20 + 58.5 + 136 = 278.5 cm².", "hints": ["(a) The square is made of 4 triangles equal to PRQ; find its area then its side.", "(b) Add the areas of the square, the two right-angle triangles and the rectangle."], "source": "Maris Stella 2023 P5 End-of-Year Exam P2 Q17", "image_needed": true, "image_options": false, "image_file": "p2q17.png", "image_page": 35, "image_bbox": [0.14, 0.14, 0.62, 0.52], "image_loc": "composite figure: square QRST, rectangle WQUV, right-angle triangles ZRS and ZTU; 5 cm and 17 cm labelled", "notes": "Two blanks: (a) RQ = 8 cm [answer0], (b) total area = 278.5 cm² [answer1]. Key Q17a = 8 cm, Q17b = 278.5 cm²." } ] }