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Primary 5 Mathematics Decimals Quiz

Free P5 Maths Decimals quiz, Exam version, with questions, answers, and syllabus-aligned practice for Singapore students.

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Primary 5 Mathematics From Real Exams Generated by DeepSeek V4 Flash Sample 03 Updated 2026-08-17

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Questions

Primary 5 Mathematics Quiz - Decimals

Name: _________________________________________ Class: ________ Date: ________

Duration: 45 minutes Total Marks: 40

Instructions:

This quiz consists of 20 questions on Decimals.
Answer all questions.
Show your working clearly, as marks may be awarded for correct working.
Write your answers in the spaces provided.

Section A: Multiple-Choice Questions (5 × 2 marks = 10 marks) Circle the correct answer for each question.

Which of the following is the largest? A. 0.123 B. 0.132 C. 0.231 D. 0.213

Answer: ______
34.56 ÷ 10 = ? A. 0.3456 B. 3.456 C. 345.6 D. 3456

Answer: ______
What is the value of the digit 7 in the number 0.274? A. 7 B. 0.7 C. 0.07 D. 0.007

Answer: ______
Which expression is equal to 0.05? A. $\frac{5}{10}$ B. $\frac{5}{100}$ C. $\frac{5}{1000}$ D. $\frac{5}{1}$

Answer: ______
A ribbon is 2.8 m long. It is cut into 4 equal pieces. How long is each piece? A. 0.7 m B. 0.07 m C. 1.12 m D. 7.0 m

Answer: ______

Section B: Short-Answer Questions (5 × 3 marks = 15 marks) Show your working clearly in the space provided. Write your final answer in the box.

Express $\frac{7}{20}$ as a decimal.

Answer:
Find the sum of 2.35, 1.07, and 0.8.

Answer:
A bottle contains 0.65 litres of water. How much water is there in 8 such bottles?

Answer:
Arrange these decimals in order, beginning with the smallest. 0.909, 0.99, 0.099, 0.9

Answer:
A piece of wire is 5.4 m long. Sam cuts off a piece that is 2.65 m long. What is the length of the remaining wire?

Answer:

Section C: Problem-Solving Questions (5 × 3 marks = 15 marks) Show your working clearly. Write your final answer in the box.

Mr. Tan bought 3.5 kg of apples. The apples cost $2.40 per kg. How much did Mr. Tan pay for the apples?

Answer:
A rectangular field is 12.6 m long and 8.5 m wide. What is the perimeter of the field?

Answer:
A tin of paint has a mass of 2.75 kg. After using some paint, the tin and remaining paint have a mass of 1.08 kg. What is the mass of the paint used?

Answer:
A packet of flour weighs 1.25 kg. Mrs. Lee uses 0.75 kg of the flour to bake a cake. She then buys another 0.5 kg of flour. What is the total mass of flour Mrs. Lee has now?

Answer:
The cost of 3 similar books is $17.70. What is the cost of 8 such books?

Answer:

Section D: Challenge Questions (5 × 2 marks each = 10 marks – Bonus Section) Total Marks Including Bonus: 50

These questions are for students who want a greater challenge. Show your working clearly.

A truck is loaded with 5 crates. Each crate contains 10.5 kg of sand. The empty truck weighs 1500.8 kg. What is the total weight of the loaded truck?

Answer:
A baker uses 0.45 kg of sugar to make one batch of cookies. If he has 5.4 kg of sugar, how many batches of cookies can he make?

Answer:
A plot of land is in the shape of a rectangle. The length is 15.3 m and the width is 8.7 m. The land is divided into 3 equal rectangular plots. What is the area of one of the smaller plots?

Answer:
A swimming pool is filled with water. It contains 0.65 of its total capacity. The total capacity of the pool is 4800 litres. How many litres of water are in the pool?

Answer:
The cost of 3 pens and 5 pencils is $8.35. A pen costs$ 1.20. What is the cost of one pencil?

Answer:

End of Quiz

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Answers

Answer Key - Primary 5 Mathematics Quiz - Decimals

Section A: Multiple-Choice Questions (5 × 2 marks = 10 marks)

Answer: C (0.231) Working: Compare the digits in the tenths place: 0.1, 0.1, 0.2, 0.2. Options C (0.231) and D (0.213) both have 2 in the tenths place. Next, compare the hundredths place: 0.23 and 0.21. 3 is larger than 1, so 0.231 is the largest. Marks: 2 marks for correct answer; 1 mark for correct comparison of tenths.
Answer: B (3.456) Working: Dividing a decimal by 10 moves the decimal point one place to the left. 34.56 ÷ 10 = 3.456 Marks: 2 marks for correct answer; 1 mark for understanding moving decimal point.
Answer: C (0.07) Working: In 0.274, the digit 7 is in the hundredths place. The value of a digit in the hundredths place is that digit divided by 100. 7 ÷ 100 = 0.07. Marks: 2 marks for correct answer; 1 mark for identifying place value.
Answer: B ( $\frac{5}{100}$ ) Working: A decimal represents a fraction out of 10, 100, or 1000. The decimal 0.05 means 5 hundredths, which is $\frac{5}{100}$ . Marks: 2 marks for correct answer; 1 mark for understanding decimal to fraction conversion.
Answer: A (0.7 m) Working: To find the length of each piece, divide the total length by the number of pieces. 2.8 m ÷ 4 = 0.7 m. Marks: 2 marks for correct answer; 1 mark for correct operation.

Section B: Short-Answer Questions (5 × 3 marks = 15 marks)

Answer: 0.35 Working: To express a fraction as a decimal, divide the numerator by the denominator. $\frac{7}{20}$ = 7 ÷ 20 = 0.35. Alternatively, multiply the numerator and denominator by 5 to get a denominator of 100: $\frac{7 \times 5}{20 \times 5} = \frac{35}{100} = 0.35$ . Marks: 3 marks for correct answer; 2 marks for correct method (e.g., showing 7 ÷ 20); 1 mark for conceptual understanding.
Answer: 4.22 Working: Align the decimal points and add: 2.35 + 1.07 + 0.80 = 4.22. (Note: 0.8 is written as 0.80 to make addition easier). Marks: 3 marks for correct answer; 2 marks for correct working; 1 mark for aligning decimal points.
Answer: 5.2 litres Working: Multiply the volume of one bottle by the number of bottles: 0.65 litres × 8 = 5.20 litres. Marks: 3 marks for correct answer; 2 marks for correct method and working; 1 mark for correct unit.
Answer: 0.099, 0.9, 0.909, 0.99 Working: Compare the digits:
- 0.099 has 0 tenths.
- 0.9 has 9 tenths.
- 0.909 has 9 tenths.
- 0.99 has 9 tenths. After tenths, compare hundredths for the ones with 9 tenths: 0.90, 0.90, 0.99. 0.9 is the smallest, then 0.909, then 0.99. Marks: 3 marks for correct order; 2 marks for correct comparison; 1 mark for some progress.
Answer: 2.75 m Working: Subtract the length of the cut piece from the original length: 5.40 m - 2.65 m = 2.75 m. Marks: 3 marks for correct answer; 2 marks for correct method and working; 1 mark for correct unit.

Section C: Problem-Solving Questions (5 × 3 marks = 15 marks)

**Answer: $8.40** **Working:** Multiply weight by cost per kg: 3.5 kg ×$ 2.40/kg = $8.40. Step 1: 35 × 24 = 840. Step 2: There are 2 decimal places total, so the product is 8.40. Marks: 3 marks for correct answer; 2 marks for correct method; 1 mark for accurate multiplication.
Answer: 42.2 m Working: Perimeter of a rectangle = 2 × (length + width). Length + width = 12.6 + 8.5 = 21.1 m. Perimeter = 2 × 21.1 = 42.2 m. Marks: 3 marks for correct answer; 2 marks for correct working; 1 mark for formula.
Answer: 1.67 kg Working: Subtract the mass after use from the original mass: 2.75 kg - 1.08 kg = 1.67 kg. Marks: 3 marks for correct answer; 2 marks for correct method; 1 mark for correct unit.
Answer: 1.0 kg Working: Start with 1.25 kg. Use 0.75 kg: 1.25 - 0.75 = 0.50 kg. Then buy 0.5 kg: 0.50 + 0.50 = 1.00 kg. Marks: 3 marks for correct answer; 2 marks for correct method; 1 mark for both steps.
**Answer: $47.20** **Working:** Cost of 1 book:$ 17.70 ÷ 3 = $5.90. Cost of 8 such books:$ 5.90 × 8 = $47.20. Marks: 3 marks for correct answer; 2 marks for correct method; 1 mark for finding cost per book.

Section D: Challenge Questions (5 × 2 marks each = 10 marks – Bonus Section)

Answer: 1553.3 kg Working: Total weight of sand = 5 crates × 10.5 kg/crate = 52.5 kg. Total weight of loaded truck = empty truck weight + sand weight = 1500.8 kg + 52.5 kg = 1553.3 kg. Marks: 2 marks for correct answer; 1 mark for correct method.
Answer: 12 batches Working: Divide the total amount of sugar by the amount needed per batch: 5.4 kg ÷ 0.45 kg/batch = 12 batches. (Hint: 540 ÷ 45 = 12). Marks: 2 marks for correct answer; 1 mark for correct division.
Answer: 44.37 m² Working: Area of the whole plot = length × width = 15.3 m × 8.7 m = 133.11 m². Area of one smaller plot = 133.11 ÷ 3 = 44.37 m². Marks: 2 marks for correct answer; 1 mark for correct working.
Answer: 3120 litres Working: Multiply the total capacity by the decimal fraction: 4800 litres × 0.65 = 3120 litres. (4800 × 65 / 100 = 4800 × 0.65). Marks: 2 marks for correct answer; 1 mark for correct method.
**Answer: $0.95** **Working:** Cost of 3 pens: 3 ×$ 1.20 = $3.60. Cost of 5 pencils:$ 8.35 - $3.60 =$ 4.75. Cost of 1 pencil: $4.75 ÷ 5 =$ 0.95. Marks: 2 marks for correct answer; 1 mark for correct method.

End of Answer Key