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Primary 3 Mathematics Measurement Quiz
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Primary 3 Mathematics Quiz - Measurement: Answer Key
Total Marks: 60
Answer 1.
Answer: 3250 m [2]
- Key idea: 1 km = 1000 m. A compound measurement like 3 km 250 m means 3 full kilometres plus 250 extra metres.
- Working: 3 km = 3 × 1000 m = 3000 m. Then 3000 m + 250 m = 3250 m.
- Common mistake: writing 325 m (dropping a zero) or 30 250 m (adding an extra zero). Always convert the kilometres first, then add the metres.
Answer 2.
Answer: 4080 g [2]
- Key idea: 1 kg = 1000 g.
- Working: 4 kg = 4 × 1000 g = 4000 g. Then 4000 g + 80 g = 4080 g.
- Common mistake: writing 4800 g. The 80 g stays as 80; only the kilograms are converted.
Answer 3.
Answer: 2600 ml [2]
- Key idea: 1 ℓ = 1000 ml.
- Working: 2 ℓ = 2 × 1000 ml = 2000 ml. Then 2000 ml + 600 ml = 2600 ml.
Answer 4.
Answer: 570 cm [2]
- Key idea: 1 m = 100 cm.
- Working: 5 m = 5 × 100 cm = 500 cm. Then 500 cm + 70 cm = 570 cm.
Answer 5.
Answer: 4 km 500 m [2]
- Key idea: To split metres into km and m, group the metres in thousands.
- Working: 4500 m = 4000 m + 500 m. Since 4000 m = 4 km, the answer is 4 km 500 m.
- Marking: 1 mark for 4 km, 1 mark for 500 m.
Answer 6.
Answer: 7 kg 250 g [3]
- Key idea: To change grams into kg and g, separate the thousands.
- Working: 7250 g = 7000 g + 250 g. Since 7000 g = 7 kg, the mass is 7 kg 250 g.
- Marking: 1 mark for correct method (splitting 7000 g), 1 mark for 7 kg, 1 mark for 250 g.
Answer 7.
Answer: 625 cm [3]
- Key idea: Convert both ribbons to the same unit (cm) before adding.
- Working: Blue ribbon: 3 m 45 cm = 300 cm + 45 cm = 345 cm. Red ribbon: 2 m 80 cm = 200 cm + 80 cm = 280 cm. Total = 345 cm + 280 cm = 625 cm.
- Common mistake: adding 3 m 45 cm and 2 m 80 cm as 5 m 125 cm without converting. Always work in one unit.
Answer 8.
Answer: 1 h 35 min [3]
- Key idea: Duration = finishing time − starting time. Count on from the start time.
- Working: From 2:45 p.m. to 3:45 p.m. is 1 h. From 3:45 p.m. to 4:00 p.m. is 15 min. From 4:00 p.m. to 4:20 p.m. is 20 min. Total = 1 h + 15 min + 20 min = 1 h 35 min.
- Marking: 1 mark for method (counting on or subtracting), 1 mark for 1 h, 1 mark for 35 min.
Answer 9.
Answer: 2115 (or 21 15) [3]
- Key idea: 24-hour time keeps counting past 12:00 noon. For p.m. times from 1:00 p.m. onwards, add 12 to the hour.
- Working: 9:15 p.m. → hour: 9 + 12 = 21. Minutes stay the same: 15. So the time is 2115 hours.
- Common mistake: writing 915 (that is 9:15 a.m.) or 0915. Check whether the time is a.m. or p.m. first.
Answer 10.
Answer: 2 h 25 min [3]
- Key idea: Find the duration by counting from the start time to the end time.
- Working: From 08 40 to 10 40 is 2 h. From 10 40 to 11 05 is 25 min. Total = 2 h 25 min.
- Alternative method: 11 05 − 08 40. Subtract the minutes first: 05 min − 40 min is not possible, so rename 1 h as 60 min: 65 min − 40 min = 25 min. Hours: 10 − 8 = 2. Duration = 2 h 25 min.
- Marking: 1 mark for method, 1 mark for 2 h, 1 mark for 25 min.
Answer 11.
Answer: 26 cm [3]
- Key idea: Perimeter is the total distance around the outside of a shape. For a rectangle, Perimeter = 2 × (length + breadth).
- Working: Perimeter = 2 × (8 cm + 5 cm) = 2 × 13 cm = 26 cm.
- Common mistake: finding the area (8 × 5 = 40) instead of the perimeter. Perimeter adds the sides; area covers the inside.
Answer 12.
Answer: 7 cm² [3]
- Expected visual: The figure shows an L-shape shaded on a 1-cm grid, made of exactly 7 unit squares (a top row of 4 squares and a column of 3 squares below the left end).
- Key idea: Area is the number of unit squares covering a shape. Each grid square here is 1 cm by 1 cm, so each has an area of 1 cm².
- Working: Count the shaded squares: 4 squares in the top row + 3 squares in the column below = 7 squares. Area = 7 × 1 cm² = 7 cm².
- Marking: 1 mark for counting method, 1 mark for 7 squares, 1 mark for correct unit cm².
Answer 13.
Answer: 650 ml [3]
- Key idea: Convert to one unit, then subtract to find what is missing.
- Working: Capacity of jug = 1 ℓ 500 ml = 1000 ml + 500 ml = 1500 ml. Water needed = 1500 ml − 850 ml = 650 ml.
- Check: 850 ml + 650 ml = 1500 ml. ✓
Answer 14.
Answer: 700 g [3]
- Key idea: "How much more" means find the difference, so subtract. Convert both bags to grams first.
- Working: Bag A = 2 kg 500 g = 2500 g. Bag B = 1 kg 800 g = 1800 g. Difference = 2500 g − 1800 g = 700 g.
- Common mistake: subtracting 2 kg 500 g − 1 kg 800 g directly and getting a negative or wrong compound answer. Convert first.
Answer 15.
Answer: 9:45 a.m. [3]
- Key idea: Starting time = finishing time − duration. Count backwards from the end time.
- Working: 10:30 a.m. minus 30 min = 10:00 a.m. Then 10:00 a.m. minus the remaining 15 min = 9:45 a.m.
- Marking: 1 mark for method (counting back), 1 mark for correct hour, 1 mark for correct minutes with a.m.
Answer
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Primary 3 Mathematics Quiz - Measurement: Answer Key
Total Marks: 60
Answer 1.
Answer: 3250 m [2]
- Key idea: 1 km = 1000 m. A compound measurement like 3 km 250 m means 3 full kilometres plus 250 extra metres.
- Working: 3 km = 3 × 1000 m = 3000 m. Then 3000 m + 250 m = 3250 m.
- Common mistake: writing 325 m or 30 250 m. Always convert the kilometres first, then add the metres.
Answer 2.
Answer: 4080 g [2]
- Key idea: 1 kg = 1000 g.
- Working: 4 kg = 4 × 1000 g = 4000 g. Then 4000 g + 80 g = 4080 g.
- Common mistake: writing 4800 g. The 80 g stays as 80; only the kilograms are converted.
Answer 3.
Answer: 2600 ml [2]
- Key idea: 1 ℓ = 1000 ml.
- Working: 2 ℓ = 2 × 1000 ml = 2000 ml. Then 2000 ml + 600 ml = 2600 ml.
Answer 4.
Answer: 570 cm [2]
- Key idea: 1 m = 100 cm.
- Working: 5 m = 5 × 100 cm = 500 cm. Then 500 cm + 70 cm = 570 cm.
Answer 5.
Answer: 4 km 500 m [2]
- Key idea: To split metres into km and m, group the metres in thousands.
- Working: 4500 m = 4000 m + 500 m. Since 4000 m = 4 km, the answer is 4 km 500 m.
- Marking: 1 mark for 4 km, 1 mark for 500 m.
Answer 6.
Answer: 7 kg 250 g [3]
- Key idea: To change grams into kg and g, separate the thousands.
- Working: 7250 g = 7000 g + 250 g. Since 7000 g = 7 kg, the mass is 7 kg 250 g.
- Marking: 1 mark for method, 1 mark for 7 kg, 1 mark for 250 g.
Answer 7.
Answer: 625 cm [3]
- Key idea: Convert both ribbons to the same unit (cm) before adding.
- Working: Blue ribbon: 3 m 45 cm = 300 cm + 45 cm = 345 cm. Red ribbon: 2 m 80 cm = 200 cm + 80 cm = 280 cm. Total = 345 cm + 280 cm = 625 cm.
- Common mistake: adding as 5 m 125 cm without converting. Always work in one unit.
Answer 8.
Answer: 1 h 35 min [3]
- Key idea: Duration = finishing time − starting time. Count on from the start time.
- Working: From 2:45 p.m. to 3:45 p.m. is 1 h. From 3:45 p.m. to 4:00 p.m. is 15 min. From 4:00 p.m. to 4:20 p.m. is 20 min. Total = 1 h 35 min.
- Marking: 1 mark for method, 1 mark for 1 h, 1 mark for 35 min.
Answer 9.
Answer: 2115 (or 21 15) [3]
- Key idea: For p.m. times from 1:00 p.m. onwards, add 12 to the hour.
- Working: 9:15 p.m. → hour: 9 + 12 = 21. Minutes stay the same: 15. Time is 2115 hours.
- Common mistake: writing 915 or 0915 (that is a.m.). Check a.m./p.m. first.
Answer 10.
Answer: 2 h 25 min [3]
- Key idea: Find the duration by counting from start time to end time.
- Working: From 08 40 to 10 40 is 2 h. From 10 40 to 11 05 is 25 min. Total = 2 h 25 min.
- Alternative: Rename 1 h as 60 min: 65 min − 40 min = 25 min; hours 10 − 8 = 2.
- Marking: 1 mark for method, 1 mark for 2 h, 1 mark for 25 min.
Answer 11.
Answer: 26 cm [3]
- Key idea: Perimeter is the distance around a shape. For a rectangle, Perimeter = 2 × (length + breadth).
- Working: Perimeter = 2 × (8 cm + 5 cm) = 2 × 13 cm = 26 cm.
- Common mistake: finding the area (8 × 5 = 40) instead of the perimeter.
Answer 12.
Answer: 7 cm² [3]
- Expected visual: An L-shape shaded on a 1-cm grid, made of exactly 7 unit squares (a top row of 4 squares and a column of 3 squares below the left end).
- Key idea: Area is the number of unit squares covering a shape. Each grid square here has an area of 1 cm².
- Working: Count the shaded squares: 4 in the top row + 3 in the column below = 7 squares. Area = 7 × 1 cm² = 7 cm².
- Marking: 1 mark for counting method, 1 mark for 7 squares, 1 mark for correct unit cm².
Answer 13.
Answer: 650 ml [3]
- Key idea: Convert to one unit, then subtract to find what is missing.
- Working: Capacity of jug = 1 ℓ 500 ml = 1500 ml. Water needed = 1500 ml − 850 ml = 650 ml.
- Check: 850 ml + 650 ml = 1500 ml. ✓
Answer 14.
Answer: 700 g [3]
- Key idea: "How much more" means find the difference, so subtract. Convert both bags to grams first.
- Working: Bag A = 2 kg 500 g = 2500 g. Bag B = 1 kg 800 g = 1800 g. Difference = 2500 g − 1800 g = 700 g.
- Common mistake: subtracting compound units directly. Convert first.
Answer 15.
Answer: 9:45 a.m. [3]
- Key idea: Starting time = finishing time − duration. Count backwards from the end time.
- Working: 10:30 a.m. minus 30 min = 10:00 a.m. Then 10:00 a.m. minus the remaining 15 min = 9:45 a.m.
- Marking: 1 mark for method, 1 mark for correct hour, 1 mark for correct minutes with a.m.
Answer 16.
Answer: 1850 m [4]
- Key idea: "How much further left" means find the difference. Convert both distances to metres first.
- Working: Whole trail = 4 km 800 m = 4000 m + 800 m = 4800 m. Distance walked = 2 km 950 m = 2000 m + 950 m = 2950 m. Remaining = 4800 m − 2950 m = 1850 m.
- Marking: 1 mark for correct conversions, 1 mark for choosing subtraction, 1 mark for correct value, 1 mark for answer in metres with unit.
Answer 17.
(a) Answer: 200 m [2]
- Key idea: Perimeter of a rectangle = 2 × (length + breadth).
- Working: Perimeter = 2 × (60 m + 40 m) = 2 × 100 m = 200 m.
(b) Answer: 1 km 0 m [2]
- Key idea: Total distance = perimeter × number of rounds. Then convert metres to kilometres.
- Working: Total distance = 200 m × 5 = 1000 m. Since 1000 m = 1 km, Mr Lim ran 1 km 0 m.
- Marking: 1 mark for 1000 m, 1 mark for correct conversion to km and m.
Answer 18.
Answer: 116 cm² [4]
- Key idea: Uncovered area = area of frame − area covered by photo.
- Working: Area of frame = 18 cm × 12 cm = 216 cm². Area of square photo = 10 cm × 10 cm = 100 cm². Uncovered area = 216 cm² − 100 cm² = 116 cm².
- Marking: 1 mark for frame area, 1 mark for photo area, 1 mark for subtraction, 1 mark for correct answer with unit.
Answer 19.
Answer: 20 10 [4]
- Key idea: Add each duration in turn to the starting time, keeping track of minutes past 60.
- Working: Start at 18 45. After first item: 18 45 + 30 min = 19 15. After interval: 19 15 + 15 min = 19 30. After second item: 19 30 + 40 min = 20 10. The concert ended at 20 10.
- Check: Total duration = 30 + 15 + 40 = 85 min = 1 h 25 min. 18 45 + 1 h 25 min = 20 10. ✓
- Marking: 1 mark for adding durations correctly, 1 mark for intermediate times, 1 mark for final time, 1 mark for 24-hour notation.
Answer 20.
Answer: 1 ℓ 950 ml [4]
- Key idea: Work step by step: subtract the water used, then add the water poured in. Keep one unit throughout.
- Working: Water at first = 3 ℓ 200 ml = 3200 ml. Water used = 1 ℓ 750 ml = 1750 ml. Water left = 3200 ml − 1750 ml = 1450 ml. After adding 500 ml: 1450 ml + 500 ml = 1950 ml. Convert back: 1950 ml = 1 ℓ 950 ml.
- Marking: 1 mark for correct subtraction, 1 mark for adding 500 ml, 1 mark for 1950 ml, 1 mark for correct conversion to litres and millilitres.