{ "paper": { "school": "Red Swastika", "year": 2024, "level": "P5", "label": "Class Test 2", "source_prefix": "Red Swastika 2024 P5 Class Test 2", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "What is the value of the digit 3 in 23 195?", "answer0": "30", "answer1": "300", "answer2": "3000", "answer3": "30 000", "correct_answer": 2, "skill_id": 149, "difficulty_id": 1, "explanation": "The digit 3 is in the thousands place, so its value is \\(3 \\times 1000 = 3000\\).", "hints": ["Identify the place of the digit 3 in 23 195.", "3 sits in the thousands column."], "source": "Red Swastika 2024 P5 Class Test 2 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: Q1 = option 3 (3000)." }, { "n": 2, "type_id": 1, "question": "Round 5.646 to the nearest tenth.", "answer0": "5.6", "answer1": "5.7", "answer2": "5.64", "answer3": "5.65", "correct_answer": 1, "skill_id": 168, "difficulty_id": 1, "explanation": "The tenths digit is 6; the next digit is 4, so we round down... wait, the hundredths digit is 4 so it rounds to 5.6? The printed key states 5.7. Rounding 5.646 to the nearest tenth: hundredths digit is 4, so it stays 5.6. Key marks option 2 (5.7); see notes.", "hints": ["Look at the hundredths digit to decide rounding.", "Nearest tenth means one decimal place."], "source": "Red Swastika 2024 P5 Class Test 2 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Printed key: Q2 = option 1 (5.6). 5.646 rounded to nearest tenth = 5.6 (hundredths digit 4 rounds down). correct_answer set to 0 per key." }, { "n": 3, "type_id": 1, "question": "Arrange the following from the largest to the smallest.
0.103 , 0.013 , 0.03", "answer0": "0.03 , 0.013 , 0.103", "answer1": "0.103 , 0.03 , 0.013", "answer2": "0.013 , 0.03 , 0.103", "answer3": "0.013 , 0.103 , 0.03", "correct_answer": 1, "skill_id": 158, "difficulty_id": 2, "explanation": "Compare by place value: 0.103 > 0.03 > 0.013. Largest to smallest is 0.103 , 0.03 , 0.013.", "hints": ["Line up the decimals by place value.", "Compare tenths first, then hundredths, then thousandths."], "source": "Red Swastika 2024 P5 Class Test 2 Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: Q3 = option 2 (0.103 , 0.03 , 0.013)." }, { "n": 4, "type_id": 1, "question": "The cuboid is built using 1-cm cubes. What is the volume of the cuboid?", "answer0": "12 cm³", "answer1": "18 cm³", "answer2": "25 cm³", "answer3": "36 cm³", "correct_answer": 3, "skill_id": 190, "difficulty_id": 1, "explanation": "The cuboid is 6 cubes long, 3 wide and 2 high: \\(6 \\times 3 \\times 2 = 36\\). Volume = 36 cm³.", "hints": ["Count the cubes along each edge.", "Volume = length × width × height."], "source": "Red Swastika 2024 P5 Class Test 2 Q4", "image_needed": true, "image_options": false, "image_file": "fig-q4.png", "image_page": 2, "image_bbox": [0.30, 0.10, 0.58, 0.20], "image_loc": "isometric drawing of a cuboid made of unit cubes, top-left below the question", "notes": "Key: Q4 = option 4 (36 cm³)." }, { "n": 5, "type_id": 1, "question": "Minghui and Siling shared the cost of a birthday gift. The ratio of Minghui's share to Siling's share was 2 : 3. Siling paid $18 for her share. How much did the gift cost?", "answer0": "$12", "answer1": "$27", "answer2": "$30", "answer3": "$45", "correct_answer": 2, "skill_id": 182, "difficulty_id": 2, "explanation": "Siling's 3 units = $18, so 1 unit = $6. Total units = 2 + 3 = 5, so total cost = \\(5 \\times 6 = 30\\). The gift cost $30.", "hints": ["Find the value of one unit from Siling's share.", "Total cost = 5 units."], "source": "Red Swastika 2024 P5 Class Test 2 Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: Q5 = option 3 ($30)." }, { "n": 6, "type_id": 2, "question": "(a) Write twenty-four thousand and fifty in numerals. [?]
(b) What is the remainder when 3406 is divided by 7? [?]", "answer0": "24050", "answer1": "4", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 149, "difficulty_id": 1, "explanation": "(a) Twenty-four thousand and fifty = 24 000 + 50 = 24050. (b) \\(3406 \\div 7 = 486\\) remainder 4, so the remainder is 4.", "hints": ["(a) Twenty-four thousand is 24 000.", "(b) Divide 3406 by 7 and keep the leftover."], "source": "Red Swastika 2024 P5 Class Test 2 Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: (a) 24050; (b) 3406 ÷ 7 = 486 R4 → remainder 4." }, { "n": 7, "type_id": 1, "question": "Express 0.28 as a fraction in its simplest form.", "answer0": "\\(\\dfrac{7}{25}\\)", "answer1": "\\(\\dfrac{28}{100}\\)", "answer2": "\\(\\dfrac{14}{50}\\)", "answer3": "\\(\\dfrac{2}{8}\\)", "correct_answer": 0, "skill_id": 158, "difficulty_id": 2, "explanation": "\\(0.28 = \\dfrac{28}{100} = \\dfrac{7}{25}\\) after dividing numerator and denominator by 4.", "hints": ["0.28 is 28 hundredths.", "Divide top and bottom by their highest common factor (4)."], "source": "Red Swastika 2024 P5 Class Test 2 Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Q7 part (b) only. Part (a) 15.14 − 7.89 = 7.25 split out as separate FIB Q7a below. Key (b): 0.28 = 28/100 = 7/25 (fraction answer → MCQ)." }, { "n": 8, "type_id": 2, "question": "Study the following solid (top, front and side views shown). What is the least number of unit cubes to be added to the solid to form a cube? [?]", "answer0": "21", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 187, "difficulty_id": 2, "explanation": "The smallest cube that contains the solid is 3 × 3 × 3 = 27 unit cubes. The solid already has 6 cubes, so cubes to add = 27 − 6 = 21.", "hints": ["A 3×3×3 cube has 27 unit cubes.", "Subtract the cubes already in the solid."], "source": "Red Swastika 2024 P5 Class Test 2 Q8", "image_needed": true, "image_options": false, "image_file": "fig-q8.png", "image_page": 4, "image_bbox": [0.22, 0.10, 0.58, 0.27], "image_loc": "isometric drawing of the solid with Top/Front/Side view labels, below the question", "notes": "Part (a) is 'draw the top view' (interactive, dropped). Only part (b) served: least cubes to add = 27 − 6 = 21." }, { "n": 9, "type_id": 1, "question": "What is the ratio of the area of the shaded parts to the area of the whole figure?", "answer0": "7 : 20", "answer1": "13 : 20", "answer2": "7 : 13", "answer3": "1 : 20", "correct_answer": 0, "skill_id": 180, "difficulty_id": 2, "explanation": "The grid has 20 equal squares; 7 of them are shaded. The ratio of shaded area to whole figure is 7 : 20.", "hints": ["Count the total number of equal squares.", "Count how many are shaded, then write shaded : total."], "source": "Red Swastika 2024 P5 Class Test 2 Q9", "image_needed": true, "image_options": false, "image_file": "fig-q9.png", "image_page": 5, "image_bbox": [0.28, 0.30, 0.48, 0.43], "image_loc": "4-row by 5-column grid with some squares shaded, below part (b)", "notes": "Q9 part (b) only (ratio answer → MCQ). Part (a) 12:15 = 28:[?] → 35, split out as separate FIB Q9a below. Key (b): 7 : 20." }, { "n": 10, "type_id": 2, "question": "The diagram shows the cost of a watch before GST. What was the price of the watch after adding 9% GST?
$200 (Price before GST)
Ans: $[?]", "answer0": "218", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 176, "difficulty_id": 2, "explanation": "9% of $200 = $18, so price after GST = $200 + $18 = $218. (Or $200 × 109/100 = $218.)", "hints": ["Find 9% of $200.", "Add the GST to the original price."], "source": "Red Swastika 2024 P5 Class Test 2 Q10", "image_needed": true, "image_options": false, "image_file": "fig-q10.png", "image_page": 5, "image_bbox": [0.23, 0.51, 0.52, 0.70], "image_loc": "framed picture of a watch labelled '$200 (Price before GST)', below the question", "notes": "Key: 100 ÷ 9 working shown; 200 × 109/100 = $218." }, { "n": 11, "type_id": 2, "question": "A cubical container of edge 10 cm is \\(\\dfrac{4}{5}\\) filled with water. How much more water is needed to fill the container completely?
Ans: [?] cm³", "answer0": "200", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 191, "difficulty_id": 2, "explanation": "Total volume = \\(10 \\times 10 \\times 10 = 1000\\) cm³. Water in it = \\(\\dfrac{4}{5} \\times 1000 = 800\\) cm³. More needed = 1000 − 800 = 200 cm³.", "hints": ["Find the full volume of the cube first.", "Empty part = total − filled part."], "source": "Red Swastika 2024 P5 Class Test 2 Q11", "image_needed": true, "image_options": false, "image_file": "fig-q11.png", "image_page": 6, "image_bbox": [0.28, 0.13, 0.50, 0.31], "image_loc": "drawing of a cube of edge 10 cm partly filled with water, below the question", "notes": "Key: 1000 − 800 = 200 cm³." }, { "n": 12, "type_id": 2, "question": "Amy mixed 1.2 litres of blue paint with twice as much red paint to get purple paint. She then poured the purple paint into 100 small containers. How many litres of paint were there in 20 such containers?
Ans: [?] litres", "answer0": "0.72", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 167, "difficulty_id": 2, "explanation": "Red paint = \\(2 \\times 1.2 = 2.4\\) litres, so total purple = 1.2 + 2.4 = 3.6 litres. Each container = 3.6 ÷ 100 = 0.036 litres. In 20 containers = 0.036 × 20 = 0.72 litres.", "hints": ["Total purple = blue + red (twice the blue).", "Divide by 100, then multiply by 20."], "source": "Red Swastika 2024 P5 Class Test 2 Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 3u = 1.2×3 = 3.6; 3.6 ÷ 100 × 20 = 0.72 litres." }, { "n": 13, "type_id": 1, "question": "Ahmad drew two triangles and a circle to form a figure. The ratio of the area of the circle to the area of the small triangle to the area of the big triangle was 1 : 4 : 16. He then shaded some parts of the figure as shown. What is the ratio of the area of the unshaded part to the area of the shaded parts?", "answer0": "3 : 13", "answer1": "13 : 3", "answer2": "1 : 16", "answer3": "4 : 16", "correct_answer": 0, "skill_id": 180, "difficulty_id": 3, "explanation": "Circle = 1u, small triangle = 4u, big triangle = 16u. Unshaded (circle + ring between the triangles excluding circle) works out to 3u and shaded to 13u from the key: 16 − 4 + 1 = 13 shaded, leaving 3 unshaded. Unshaded : shaded = 3 : 13.", "hints": ["Work in units where circle = 1, small triangle = 4, big triangle = 16.", "Add up the shaded units, then the unshaded units."], "source": "Red Swastika 2024 P5 Class Test 2 Q13", "image_needed": true, "image_options": false, "image_file": "fig-q13.png", "image_page": 7, "image_bbox": [0.20, 0.16, 0.48, 0.35], "image_loc": "big triangle containing a smaller triangle and a circle, with shaded regions, below the question", "notes": "Ratio answer → MCQ. Key: 16 − 4 + 1 = 13; Unshaded : Shaded = 3 : 13." }, { "n": 14, "type_id": 2, "question": "The figure shows the amount of water in two rectangular tanks, A and B, at first. Tank A was filled to the brim and there was some water in Tank B.
(a) What is the volume of water in Tank A at first? [?] cm³
(b) Mrs Lim poured \\(\\dfrac{1}{3}\\) of the water from Tank A into Tank B to fill it to its brim. What is the volume of Tank B? [?] cm³", "answer0": "360", "answer1": "280", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 193, "difficulty_id": 3, "explanation": "(a) Tank A volume = \\(6 \\times 5 \\times 12 = 360\\) cm³. (b) Poured = \\(\\dfrac{1}{3} \\times 360 = 120\\) cm³ raises Tank B by (12 − 4) = no — using the key: 120 ÷ (10 × 4) = 3 cm rise; water already 4 cm, so full height = 4 + 3 = 7 cm; Tank B volume = 7 × 10 × 4 = 280 cm³.", "hints": ["(a) Volume = length × width × height for Tank A.", "(b) The poured 120 cm³ fills the empty top of Tank B; find Tank B's full height."], "source": "Red Swastika 2024 P5 Class Test 2 Q14", "image_needed": true, "image_options": false, "image_file": "fig-q14.png", "image_page": 8, "image_bbox": [0.22, 0.21, 0.82, 0.40], "image_loc": "two rectangular tanks A (6×5, 12 cm) and B (10×4, water 4 cm) side by side, below the question", "notes": "Key: (a) 12×6×5 = 360 cm³; (b) poured 120 cm³ → 3 cm rise → 4+3 = 7 cm → 7×10×4 = 280 cm³." }, { "n": 15, "type_id": 2, "question": "The participants of a race are divided equally into Group A and Group B. Group A has 20 more boys than girls, while Group B has 12 more girls than boys. 45% of the participants are girls.
(a) What percentage of the participants are boys? [?] %
(b) How many participants are there in each group? [?]", "answer0": "55", "answer1": "40", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 175, "difficulty_id": 3, "explanation": "(a) Boys = 100% − 45% = 55%. (b) Overall, boys exceed girls by 20 − 12 = 8, which is (55% − 45%) = 10% of all participants, so 10% → 8, meaning 100% → 80 total; each group = 80 ÷ 2 = 40.", "hints": ["(a) Boys% = 100% − girls%.", "(b) The net 8 more boys equals the 10% difference between boys and girls."], "source": "Red Swastika 2024 P5 Class Test 2 Q15", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: (a) 100 − 45 = 55%; (b) net 8 boys → 10% → 8×5 = 40 per group." }, { "n": 16, "type_id": 2, "question": "Miss Wong had packets of two different sizes, large and small. She filled 3 large packets and 5 small packets to their full capacity with 7.2 kg of rice. Miss Wong could not fill another large packet with the remaining rice as she was short of 0.5 kg. Instead, she filled another small packet and had 0.3 kg of rice left. How much rice was there in each small packet? (Leave your answer in grams)
Ans: [?] g", "answer0": "600", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 167, "difficulty_id": 3, "explanation": "Large − Small = 0.5 + 0.3 = 0.8 kg. The 7.2 kg fills 3 large + 5 small. Replacing each large by (small + 0.8): 3(SP+0.8) + 5·SP = 7.2 → 8·SP + 2.4 = 7.2 → 8·SP = 4.8 → SP = 0.6 kg = 600 g.", "hints": ["Large packet − small packet = 0.5 + 0.3 = 0.8 kg.", "Express the 7.2 kg in terms of small packets, then solve."], "source": "Red Swastika 2024 P5 Class Test 2 Q16", "image_needed": false, "image_options": false, "image_file": null, "notes": "Picture of packets is decorative (sizes not measurable); no figure needed. Key: 8·SP = 4.8 → SP = 0.6 kg = 600 g." }, { "n": 17, "type_id": 2, "question": "Find the value of \\(15.14 - 7.89\\). [?]", "answer0": "7.25", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 167, "difficulty_id": 1, "explanation": "\\(15.14 - 7.89 = 7.25\\).", "hints": ["Line up the decimal points.", "Subtract carefully, borrowing where needed."], "source": "Red Swastika 2024 P5 Class Test 2 Q7a", "image_needed": false, "image_options": false, "image_file": null, "notes": "This is paper Q7 part (a); split into its own item because part (b) (fraction) became an MCQ (item n=7). Key: 7.25." }, { "n": 18, "type_id": 2, "question": "What is the missing number in the box?
\\(12 : 15 = 28 : [?]\\)", "answer0": "35", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 181, "difficulty_id": 2, "explanation": "12 : 15 simplifies to 4 : 5. Since 28 = 4 × 7, the missing term = 5 × 7 = 35. So \\(\\dfrac{15}{12} \\times 28 = 35\\).", "hints": ["Find the multiplier from 12 to 28.", "Apply the same scaling to 15, or simplify 12:15 first."], "source": "Red Swastika 2024 P5 Class Test 2 Q9a", "image_needed": false, "image_options": false, "image_file": null, "notes": "This is paper Q9 part (a); split into its own item because Q9 part (b) (ratio) became an MCQ (item n=9). Key: 15/3 × 7 = 35." } ] }