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Primary 4 Maths Worksheets with Answers: Free PDF

This is a free sample set of Primary 4 Maths worksheets: 8 topics, 80 questions, with answers. There is one sheet of 10 questions for each of eight P4 topics: numbers up to 100 000, factors and multiples, multiplication and division, mixed numbers and improper fractions, fraction of a set, decimals, the four operations on decimals, and area and perimeter. Worked examples show how to list factors, multiply by a 2-digit number, find a fraction of a set with a bar model and divide a decimal. The pack is a sample of the TSS Primary 4 Maths Assessment Book, which has 13 chapters.

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Numbers up to 100 000

Syllabus: Numbers up to 100 000: place value, numbers in words, comparing, ordering, number patterns and rounding.

Write your answer on the line.

  1. Write 45 208 in words.

  2. Write seventy thousand and sixty-three in numerals.

  3. In 86 419, the digit 6 stands for ____.

  4. 30 000 + 7000 + 50 + 2 = ____

  5. Arrange these numbers in order. Begin with the smallest.

    54 310, 45 310, 54 130, 45 031

  6. What number is 10 000 more than 28 650?

  7. Fill in the missing number: 61 500, 62 000, 62 500, ____

  8. Round 47 386 to the nearest 100.

  9. Round 63 512 to the nearest 1000.

  10. A whole number is 25 000 when rounded to the nearest 1000. What is the smallest number it could be?

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Factors and multiples

Syllabus: Factors, multiples, common factors and common multiples of whole numbers up to 100.

A factor divides a number exactly. A multiple is what you get when you multiply a number by 1, 2, 3 and so on.

Worked example

List all the factors of 28.

  1. Find pairs of numbers that multiply to give 28. Start from 1.
  2. 1 × 28 = 28, 2 × 14 = 28 and 4 × 7 = 28.
  3. 3, 5 and 6 do not divide 28 exactly, so there are no more pairs.
  4. Write the factors in order.

Answer: 1, 2, 4, 7, 14, 28

  1. List all the factors of 18.

  2. List all the factors of 40.

  3. Is 7 a factor of 91?

  4. Write the first five multiples of 6.

  5. What is the 8th multiple of 9?

  6. List the common factors of 12 and 30.

  7. What is the greatest common factor of 24 and 36?

  8. Write the first two common multiples of 4 and 6.

  9. Which of these numbers is a multiple of both 3 and 5?

    1. 25
    2. 27
    3. 45
    4. 50

  10. Ali thinks of a number between 40 and 60. It is a multiple of 8 and a factor of 96. What is his number?

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Multiplication and division

Syllabus: Multiplying up to 4 digits by 1 digit and up to 3 digits by 2 digits, and dividing up to 4 digits by 1 digit.

Use the column method and long division. Write a remainder like this: 7 R 5

Worked example

Work out 47 × 36.

  1. Split 36 into 30 and 6.
  2. 47 × 6 = 282
  3. 47 × 30 = 1410
  4. Add the two parts: 282 + 1410 = 1692.
  5. Check with an estimate: 50 × 36 = 1800, which is close.

Answer: 47 × 36 = 1692

  1. 2314 × 3 = ____

  2. 1608 × 7 = ____

  3. 46 × 30 = ____

  4. 58 × 24 = ____

  5. 237 × 45 = ____

  6. 8436 ÷ 4 = ____

  7. 5215 ÷ 7 = ____

  8. 3050 ÷ 6 = ____

  9. A factory packs 1250 biscuits into each carton. How many biscuits are there in 8 cartons?

  10. A baker packs 1350 buns into boxes of 8. How many full boxes does he get? How many buns are left over?

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Mixed numbers and fractions

Syllabus: Mixed numbers, improper fractions, and adding and subtracting fractions with denominators up to 12.

Give each answer in its simplest form.

Worked example

Write 114 as a mixed number.

  1. 4 quarters make 1 whole, so divide 11 by 4.
  2. 11 ÷ 4 = 2 R 3. That is 2 wholes and 3 quarters left over.
  3. Write the wholes first, then the fraction.

Answer: 2 34

  1. Write 73 as a mixed number.

  2. Write 175 as a mixed number.

  3. Write 2 34 as an improper fraction.

  4. Write 4 56 as an improper fraction.

  5. Write 188 as a mixed number in its simplest form.

  6. Which is greater, 2 13 or 94?

  7. 35 + 45 = ____

  8. 56 + 23 = ____

  9. 2 − 38 = ____

  10. 74 − 512 = ____

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Fraction of a set

Syllabus: Fraction as part of a set of objects, and word problems on fractions.

Find the value of 1 unit first.

Worked example

Mei had 24 stickers. She gave 38 of them to her brother. How many stickers did she give away?

Bar model
Stickers3 units given5 units left
Total8 units = 24
  1. Draw one bar for all the stickers and cut it into 8 equal units.
  2. 8 units = 24, so 1 unit = 24 ÷ 8 = 3.
  3. She gave away 3 units: 3 × 3 = 9.

Answer: Mei gave away 9 stickers.

  1. 14 of 20 = ____

  2. 23 of 18 = ____

  3. 58 of 40 = ____

  4. 37 of 63 = ____

  5. There are 12 fruits in a basket. 5 of them are apples. What fraction of the fruits are apples?

  6. A box has 6 red pens and 10 blue pens. What fraction of the pens are red? Give your answer in its simplest form.

  7. There are 36 pupils in a class. 49 of them are boys. How many girls are there?

  8. Siti had $45. She spent 25 of it on a book. How much money did she have left?

  9. Ravi read 34 of a book. He read 90 pages. How many pages are there in the book?

  10. Mrs Tan baked 48 tarts. She sold 56 of them and gave 14 of the remaining tarts to a neighbour. How many tarts did she give to the neighbour?

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Decimals

Syllabus: Decimals up to 3 decimal places: place value, comparing, ordering, rounding, and changing between fractions and decimals.

Write your answer on the line.

  1. Write 7 tenths and 3 hundredths as a decimal.

  2. In 5.482, the digit 8 stands for ____.

  3. Write 34 as a decimal.

  4. Write 0.6 as a fraction in its simplest form.

  5. Write 2 9100 as a decimal.

  6. Which is greater, 0.305 or 0.35?

  7. Arrange these decimals in order. Begin with the smallest.

    1.52, 1.205, 1.25, 1.5

  8. What number is 0.01 more than 4.39?

  9. Round 6.47 to the nearest whole number.

  10. Round 12.385 to 1 decimal place.

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Four operations on decimals

Syllabus: Adding and subtracting decimals up to 2 decimal places, and multiplying and dividing them by a 1-digit whole number.

Line up the decimal points before you add or subtract.

Worked example

7.5 ÷ 6 = ____

  1. Divide the ones: 7 ones ÷ 6 = 1 one R 1 one.
  2. Rename the 1 one as 10 tenths. 10 tenths and 5 tenths make 15 tenths.
  3. Divide the tenths: 15 tenths ÷ 6 = 2 tenths R 3 tenths.
  4. Rename the 3 tenths as 30 hundredths. 30 hundredths ÷ 6 = 5 hundredths.
  5. Check: 1.25 × 6 = 7.5.

Answer: 1.25

  1. 3.46 + 2.7 = ____

  2. 8.05 + 4.98 = ____

  3. 9.3 − 4.65 = ____

  4. 10 − 3.28 = ____

  5. 2.47 × 6 = ____

  6. 0.85 × 4 = ____

  7. 7.35 ÷ 5 = ____

  8. 9 ÷ 4 = ____

  9. A ribbon 6.3 m long is cut into 7 equal pieces. How long is each piece?

  10. A pen costs $1.85. Mei buys 4 pens and pays with a $10 note. How much change does she get?

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Area and perimeter

Syllabus: Finding one side of a rectangle or square from its area or perimeter, and the area and perimeter of figures made of rectangles and squares.

Sketch each figure and label its sides before you start.

  1. A rectangle has an area of 84 cm². Its length is 12 cm. Find its breadth.

  2. A square has an area of 64 m². Find the length of one side.

  3. The perimeter of a rectangle is 46 cm. Its length is 15 cm. Find its breadth.

  4. The perimeter of a square is 52 cm. Find its area.

  5. A square has an area of 81 cm². Find its perimeter.

  6. A rectangle is 14 m long. Its breadth is half its length. Find its area.

  7. A wire 60 cm long is bent to form a rectangle 18 cm long. Find the breadth of the rectangle.

  8. A square of side 3 cm is cut out from one corner of a rectangle 10 cm long and 6 cm wide. What is the area of the figure that is left?

  9. What is the perimeter of the figure that is left in question 8?

  10. A garden is 12 m long and 9 m wide. A path 1 m wide runs all the way around the outside of the garden. Find the area of the path.

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For parents

How to use this pack

  1. Pick the topic the school is teaching now. Each topic is one worksheet of 10 questions with its answers.
  2. Read the worked example together where there is one, then let your child try the questions alone.
  3. Ask your child to show the working for every word problem, not just the answer.
  4. Mark the worksheet with the answer key. Ask your child to explain each wrong answer, then redo it a few days later.

How Primary 4 Maths is assessed in school

  • A school sets no more than one weighted assessment per subject in each school term.
  • There is no mid-year exam. MOE removed mid-year exams at every primary level by 2023.
  • Report books do not show class or level position, and marks are shown as whole numbers.
  • Ask the Maths teacher for the dates and topics of each assessment, then use the matching worksheet in the week before.

If your child finds Primary 4 Maths hard

  • Signs to watch: slow times tables, mixing up factors and multiples, or lining up decimals by the last digit and not by the decimal point.
  • Go back to the times tables first. Factors, multiples, long division and fractions all lean on them.
  • For fraction word problems, draw the bar and find 1 unit before anything else.
  • Talk to your child's Maths teacher early. MOE's Learning Support for Mathematics (LSM) gives extra lessons in small groups, led by trained teachers, from Primary 1 to Primary 4. Children are identified at the start of Primary 1, and others can join in Primary 2, 3 or 4 if needed.

Primary 4 Maths tuition

When your child wants more practice

  • This pack is a free sample. It has one worksheet for 8 of the 13 chapters in the TSS Primary 4 Maths Assessment Book.
  • The book is a printable PDF of 436 pages. It has notes with worked examples for every chapter, 332 questions, answers that show the working, and the End-of-Year Practice Examination.
  • Read real questions from the book on its sample questions page before you decide.

Primary 4 Maths book: sample questions · Primary 4 Maths Assessment Book

Sources: MOE, Learn for Life press release (28 September 2018), MOE, forum reply on removing mid-year exams (8 February 2023), MOE, learning support programmes.

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Answer key

Mark each worksheet, then go over any wrong answer together.

1. Numbers up to 100 000

  1. forty-five thousand, two hundred and eight
  2. 70 063
  3. 6000 (6 thousands)
  4. 37 052
  5. 45 031, 45 310, 54 130, 54 310
  6. 38 650
  7. 63 000
  8. 47 400
  9. 64 000
  10. 24 500

2. Factors and multiples

  1. 1, 2, 3, 6, 9, 18
  2. 1, 2, 4, 5, 8, 10, 20, 40
  3. yes, because 91 ÷ 7 = 13
  4. 6, 12, 18, 24, 30
  5. 72
  6. 1, 2, 3, 6
  7. 12
  8. 12, 24
  9. 45
  10. 48

3. Multiplication and division

  1. 6942
  2. 11 256
  3. 1380
  4. 1392
  5. 10 665
  6. 2109
  7. 745
  8. 508 R 2
  9. 10 000
  10. 168 boxes, 6 buns left over

4. Mixed numbers and fractions

  1. 2 13
  2. 3 25
  3. 114
  4. 296
  5. 2 14
  6. 2 13 (94 is 2 14)
  7. 1 25
  8. 1 12
  9. 1 58
  10. 1 13

5. Fraction of a set

  1. 5
  2. 12
  3. 25
  4. 27
  5. 512
  6. 38
  7. 20
  8. $27
  9. 120
  10. 2

6. Decimals

  1. 0.73
  2. 0.08 (8 hundredths)
  3. 0.75
  4. 35
  5. 2.09
  6. 0.35
  7. 1.205, 1.25, 1.5, 1.52
  8. 4.4
  9. 6
  10. 12.4

7. Four operations on decimals

  1. 6.16
  2. 13.03
  3. 4.65
  4. 6.72
  5. 14.82
  6. 3.4
  7. 1.47
  8. 2.25
  9. 0.9 m
  10. $2.60

8. Area and perimeter

  1. 7 cm
  2. 8 m
  3. 8 cm
  4. 169 cm²
  5. 36 cm
  6. 98 m²
  7. 12 cm
  8. 51 cm²
  9. 32 cm, the same as the rectangle
  10. 46 m²

Next steps

Inside the PDF

9 A4 pages, ready to print. Tap a page to open the PDF there.

Download the free PDFPDF · 9 pages · A4 portrait · free, no sign-up

  1. Primary 4 Maths Worksheets PDF, page 1 of 9: Numbers up to 100 000Page 1
  2. Primary 4 Maths Worksheets PDF, page 2 of 9: Factors and multiplesPage 2
  3. Primary 4 Maths Worksheets PDF, page 3 of 9: Multiplication and divisionPage 3
  4. Primary 4 Maths Worksheets PDF, page 4 of 9: Mixed numbers and fractionsPage 4
  5. Primary 4 Maths Worksheets PDF, page 5 of 9: Fraction of a setPage 5
  6. Primary 4 Maths Worksheets PDF, page 6 of 9: DecimalsPage 6
  7. Primary 4 Maths Worksheets PDF, page 7 of 9: Four operations on decimalsPage 7
  8. Primary 4 Maths Worksheets PDF, page 8 of 9: Area and perimeterPage 8
  9. Primary 4 Maths Worksheets PDF, page 9 of 9: Area and perimeter (continued)Page 9

Questions students ask

What is in the Primary 4 Maths worksheets?

Eight worksheets of 10 questions each: numbers up to 100 000, factors and multiples, multiplication and division, mixed numbers and improper fractions, fraction of a set, decimals, the four operations on decimals, and area and perimeter. A full answer key comes at the end.

Do the Primary 4 Maths worksheets come with answers?

Yes. The answer key lists every answer, one list per worksheet. It is on this page and on the last page of the PDF.

Are these worksheets from MOE or a school?

No. They are The Singapore Syllabus's own practice questions, written for the Primary 4 topics in the MOE 2021 Primary Mathematics syllabus. They are not school papers and MOE did not issue them.

How is this free pack different from the TSS Primary 4 Maths book?

The pack is a sample: one sheet of 10 questions for 8 topics. The TSS Primary 4 Maths Assessment Book is a printable PDF of 436 pages with 13 chapters, notes with worked examples, 332 questions, answers that show the working and a practice examination. The questions in this pack are not taken from the book.

Why are there no worksheets on angles, symmetry, nets or graphs?

Those topics need drawn figures, and this sample pack is text only. The TSS Primary 4 Maths book has a chapter for each of them.

What is the difference between a factor and a multiple?

A factor divides a number exactly, so the factors of 12 are 1, 2, 3, 4, 6 and 12. A multiple is the number times 1, 2, 3 and so on, so the first multiples of 12 are 12, 24 and 36.

How should my child use these worksheets?

Do one topic at a time, after the school has taught it. Mark with the answer key, ask your child to explain each wrong answer, and redo it a few days later. The PDF is free, with no sign-up.

Keep revising

More for this stage: PSLE Science Keywords, Primary English Oral Practice (P3 to PSLE), Primary English Listening Comprehension Practice (P3 to PSLE), Primary English Composition Topics (P3 to PSLE), Primary 1 Maths Worksheets, Primary 2 Maths Worksheets, Primary 3 Maths Worksheets, Primary 5 Maths Worksheets, Primary 6 Maths Worksheets, Primary 1 English Worksheets, Primary 2 English Worksheets, Primary 3 English Worksheets, Primary 1 Spelling and Vocabulary List, Primary 2 Spelling and Vocabulary List, Primary 3 Spelling and Vocabulary List, Primary 4 Spelling and Vocabulary List, Primary 5 Spelling and Vocabulary List, PSLE Vocabulary List (Primary 6).

Source

The worksheets are our own practice material, written for the MOE 2021 Primary Mathematics syllabus. They are not issued by MOE. If a topic here differs from the MOE document, the MOE document is right. Tell us and we will fix it.