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Primary 6 PSLE Mathematics Addition Subtraction Quiz
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Questions
Primary 6 PSLE Mathematics Quiz - Addition Subtraction
Name: __________________________
Class: __________________________
Date: __________________________
Score: ________ / 50
Duration: 1 hour 15 minutes
Total Marks: 50
Instructions to Candidates:
- This quiz consists of 20 questions.
- Answer all questions.
- Write your answers in the spaces provided.
- For questions requiring working, show your working clearly. Marks may be awarded for method marks even if the final answer is incorrect.
- Unless otherwise stated, give your answers in the simplest form or to 2 decimal places where appropriate.
- The use of calculators is not allowed.
Section A: Whole Numbers and Decimals (Questions 1–5)
Each question carries 2 marks.
1. Find the sum of 45,098 and 12,305. Give your answer in the nearest thousand.
Answer: __________________________
2. Subtract 8,009 from 50,000.
Answer: __________________________
3. Calculate 14.5−3.28+0.7.
Answer: __________________________
4. What is the difference between the value of the digit 6 in 64,210 and the value of the digit 6 in 16,905?
Answer: __________________________
5. A warehouse had 12,500 boxes of apples. In the morning, 3,450 boxes were sold. In the afternoon, 2,180 more boxes were sold. How many boxes were left?
Answer: __________________________
Section B: Fractions (Questions 6–12)
Questions 6–9 carry 2 marks each. Questions 10–12 carry 3 marks each.
6. Express 43+52 as a mixed number in its simplest form.
Answer: __________________________
7. Subtract 231 from 521. Give your answer as a mixed number in its simplest form.
Answer: __________________________
8. Mrs. Tan had 65 kg of flour. She used 41 kg to bake a cake and 31 kg to make cookies. How much flour did she have left?
Answer: __________________________
9. Find the value of 87−(21+41).
Answer: __________________________
10. There were some students in a hall. 52 of them were boys. After 12 boys and 8 girls left the hall, the number of boys and girls remaining was equal. How many students were there in the hall at first?
Answer: __________________________
11. Ali saved 83 of his allowance. He spent 41 of the remaining money on a book and the rest on food. If he spent $15 on food, how much was his total allowance?
Answer: __________________________
12. Container A had 12 litres of water. Container B had 8 litres of water. Some water was poured from Container A to Container B until Container B had twice as much water as Container A. How much water was poured from Container A to Container B?
Answer: __________________________
Section C: Percentage and Ratio (Questions 13–17)
Each question carries 3 marks.
13. In a school library, 40% of the books are fiction. The rest are non-fiction. If there are 360 non-fiction books, how many fiction books are there?
Answer: __________________________
14. The price of a watch was $200. During a sale, the price was reduced by 15%. After the sale, the price was increased by 10% of the sale price. What was the final price of the watch?
Answer: __________________________
15. The ratio of the number of red marbles to blue marbles was 3:5. After 10 red marbles were added and 5 blue marbles were removed, the ratio became 2:3. How many red marbles were there at first?
Answer: __________________________
16. Mr. Lim spent 30% of his salary on rent and 41 of the remainder on food. He saved the rest. If he saved $2,100, what was his total salary?
Answer: __________________________
17. Box A and Box B contained some beads. The number of beads in Box A was 60% of the number of beads in Box B. After 20 beads were transferred from Box B to Box A, both boxes had an equal number of beads. How many beads were there in Box B at first?
Answer: __________________________
Section D: Advanced Problem Solving (Questions 18–20)
Each question carries 4 marks.
18. The total age of Amy, Ben, and Cindy is 45 years. Amy is 3 years older than Ben. Cindy is twice as old as Ben. How old is Amy?
Answer: __________________________
19. A tank was 31 filled with water. After adding 10 litres of water, the tank became 21 filled. What is the capacity of the tank?
Answer: __________________________
20.

Generated diagram for Q20.
In the figure above, ABCD is a rectangle. E is a point on CD. The area of the unshaded region is 48 cm². What is the area of the shaded triangle ABE?
Answer: __________________________
Answers
Primary 6 PSLE Mathematics Quiz - Addition Subtraction (Answer Key)
General Note: This answer key provides step-by-step working and explanations. Students should be encouraged to show their logical steps, especially for word problems.
Section A: Whole Numbers and Decimals
1. Find the sum of 45,098 and 12,305. Give your answer in the nearest thousand.
- Step 1: Calculate the exact sum. 45,098+12,305=57,403
- Step 2: Round to the nearest thousand. The hundreds digit is 4, which is less than 5, so we round down. 57,403≈57,000
- Answer: 57,000
- Marks: 2 (1 for correct sum, 1 for correct rounding)
2. Subtract 8,009 from 50,000.
- Step 1: Set up the subtraction. Note the borrowing across zeros. 50,000−8,009
- Step 2: Calculate. 50,000−8,000=42,000 42,000−9=41,991
- Answer: 41,991
- Marks: 2
3. Calculate 14.5−3.28+0.7.
- Step 1: Align decimal points. 14.50−3.28=11.22
- Step 2: Add 0.7. 11.22+0.70=11.92
- Answer: 11.92
- Marks: 2
4. What is the difference between the value of the digit 6 in 64,210 and the value of the digit 6 in 16,905?
- Step 1: Identify values. In 64,210, the 6 is in the ten-thousands place: 60,000. In 16,905, the 6 is in the thousands place: 6,000.
- Step 2: Find the difference. 60,000−6,000=54,000
- Answer: 54,000
- Marks: 2
5. A warehouse had 12,500 boxes of apples. In the morning, 3,450 boxes were sold. In the afternoon, 2,180 more boxes were sold. How many boxes were left?
- Method 1: Subtract sequentially. 12,500−3,450=9,050 9,050−2,180=6,870
- Method 2: Add sales first. Total sold = 3,450+2,180=5,630 Left = 12,500−5,630=6,870
- Answer: 6,870
- Marks: 2
Section B: Fractions
6. Express 43+52 as a mixed number in its simplest form.
- Step 1: Find common denominator (LCM of 4 and 5 is 20). 203×5+202×4=2015+208
- Step 2: Add numerators. 2023
- Step 3: Convert to mixed number. 1203
- Answer: 1203
- Marks: 2
7. Subtract 231 from 521. Give your answer as a mixed number in its simplest form.
- Step 1: Convert to improper fractions or use common denominators. LCM of 2 and 3 is 6. 521=563 231=262
- Step 2: Subtract whole numbers and fractions. 5−2=3 63−62=61
- Step 3: Combine. 361
- Answer: 361
- Marks: 2
8. Mrs. Tan had 65 kg of flour. She used 41 kg to bake a cake and 31 kg to make cookies. How much flour did she have left?
- Step 1: Calculate total used. LCM of 4 and 3 is 12. 41+31=123+124=127 kg
- Step 2: Subtract from initial amount. Initial: 65=1210 Left: 1210−127=123
- Step 3: Simplify. 123=41 kg
- Answer: 41 kg
- Marks: 2
9. Find the value of 87−(21+41).
- Step 1: Solve brackets first. 21+41=42+41=43
- Step 2: Subtract from 87. Convert 43 to eighths: 86. 87−86=81
- Answer: 81
- Marks: 2
10. There were some students in a hall. 52 of them were boys. After 12 boys and 8 girls left the hall, the number of boys and girls remaining was equal. How many students were there in the hall at first?
- Step 1: Define units. Let total students be 5u. Boys = 2u, Girls = 3u.
- Step 2: Apply changes. Boys remaining = 2u−12 Girls remaining = 3u−8
- Step 3: Equate remaining amounts. 2u−12=3u−8 3u−2u=12−8 1u=4
- Step 4: Find total. Total = 5u=5×4=20
- Answer: 20 students
- Marks: 3
11. Ali saved 83 of his allowance. He spent 41 of the remaining money on a book and the rest on food. If he spent $15 on food, how much was his total allowance?
- Step 1: Analyze fractions. Saved = 83. Remaining = 1−83=85.
- Step 2: Analyze spending from remainder. Spent on book = 41 of remainder. Spent on food = 43 of remainder.
- Step 3: Calculate value of remainder. 43 of Remainder = 15 41 of Remainder = 15÷3=5 Total Remainder = 5×4=20
- Step 4: Calculate total allowance. 85 of Total = 20 81 of Total = 20÷5=4 Total = 4×8=32
- Answer: $32
- Marks: 3
12. Container A had 12 litres of water. Container B had 8 litres of water. Some water was poured from Container A to Container B until Container B had twice as much water as Container A. How much water was poured from Container A to Container B?
- Step 1: Total water is constant. Total = 12+8=20 litres.
- Step 2: Determine final ratio. Ratio A : B = 1 : 2. Total units = 3.
- Step 3: Calculate final amounts. 1 unit = 20÷3=320 litres. Final A = 320 litres.
- Step 4: Calculate amount poured. Poured = Initial A - Final A Poured = 12−320=336−320=316=531 litres.
- Answer: 531 litres
- Marks: 3
Section C: Percentage and Ratio
13. In a school library, 40% of the books are fiction. The rest are non-fiction. If there are 360 non-fiction books, how many fiction books are there?
- Step 1: Find percentage of non-fiction. 100%−40%=60%
- Step 2: Find value of 1%. 60%=360 1%=360÷60=6
- Step 3: Find fiction books (40%). 40×6=240
- Answer: 240
- Marks: 3
14. The price of a watch was $200. During a sale, the price was reduced by 15%. After the sale, the price was increased by 10% of the sale price. What was the final price of the watch?
- Step 1: Calculate sale price. Discount = 15% of 200=0.15×200=30 Sale Price = 200−30=170
- Step 2: Calculate increased price. Increase = 10% of 170=17 Final Price = 170+17=187
- Answer: $187
- Marks: 3
15. The ratio of the number of red marbles to blue marbles was 3:5. After 10 red marbles were added and 5 blue marbles were removed, the ratio became 2:3. How many red marbles were there at first?
- Step 1: Set up equation with units. Red = 3u, Blue = 5u. New Red = 3u+10, New Blue = 5u−5.
- Step 2: Use new ratio. 5u−53u+10=32
- Step 3: Cross multiply. 3(3u+10)=2(5u−5) 9u+30=10u−10 10u−9u=30+10 1u=40
- Step 4: Find initial red marbles. Red = 3u=3×40=120
- Answer: 120
- Marks: 3
16. Mr. Lim spent 30% of his salary on rent and 41 of the remainder on food. He saved the rest. If he saved $2,100, what was his total salary?
- Step 1: Analyze remainder after rent. Rent = 30%. Remainder = 70%.
- Step 2: Analyze food and savings from remainder. Food = 41 of Remainder. Savings = 43 of Remainder.
- Step 3: Calculate value of Remainder. 43 of Remainder = 2,100 41 of Remainder = 700 Total Remainder = 2,800
- Step 4: Calculate total salary. 70% of Salary = 2,800 10% of Salary = 400 100% of Salary = 4,000
- Answer: $4,000
- Marks: 3
17. Box A and Box B contained some beads. The number of beads in Box A was 60% of the number of beads in Box B. After 20 beads were transferred from Box B to Box A, both boxes had an equal number of beads. How many beads were there in Box B at first?
- Step 1: Set up ratio/units. A=0.6B or A:B=3:5. Let A=3u, B=5u.
- Step 2: Apply transfer. New A = 3u+20 New B = 5u−20
- Step 3: Equate. 3u+20=5u−20 2u=40 1u=20
- Step 4: Find initial B. B=5u=5×20=100
- Answer: 100
- Marks: 3
Section D: Advanced Problem Solving
18. The total age of Amy, Ben, and Cindy is 45 years. Amy is 3 years older than Ben. Cindy is twice as old as Ben. How old is Amy?
- Step 1: Define variables based on Ben. Let Ben's age = b. Amy's age = b+3. Cindy's age = 2b.
- Step 2: Form equation. b+(b+3)+2b=45 4b+3=45 4b=42 b=10.5
- Step 3: Find Amy's age. Amy = 10.5+3=13.5
- Answer: 13.5 years old
- Marks: 4
19. A tank was 31 filled with water. After adding 10 litres of water, the tank became 21 filled. What is the capacity of the tank?
- Step 1: Find the fraction represented by 10 litres. Difference in fraction = 21−31 LCM of 2 and 3 is 6. 63−62=61
- Step 2: Calculate capacity. 61 of Capacity = 10 litres Capacity = 10×6=60 litres
- Answer: 60 litres
- Marks: 4
20. In the figure above, ABCD is a rectangle. E is a point on CD. The area of the unshaded region is 48 cm². What is the area of the shaded triangle ABE?
- Step 1: Calculate Area of Rectangle ABCD. Length = 12 cm, Width = 8 cm. Area = 12×8=96 cm2.
- Step 2: Understand the relationship between Triangle ABE and Rectangle ABCD. Base of Triangle = AB = 12 cm. Height of Triangle = Perpendicular distance from E to AB = Width of rectangle = 8 cm. Area of Triangle ABE = 21×Base×Height=21×12×8=48 cm2.
- Step 3: Verify with unshaded region. Unshaded Area = Total Area - Shaded Area 48=96−Shaded Area Shaded Area = 96−48=48 cm2. (Note: The question states unshaded is 48, which confirms the geometry. The triangle area is always half the rectangle area if the base is the full side and the vertex is on the opposite side.)
- Answer: 48 cm²
- Marks: 4
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