eduKate Singapore

VIEW THIS AS

Auto mode follows the Route Engine until you choose a viewpoint.

YOU ARE HERE

ROUTE CHECK

CONNECTED TO

WHAT NEXT

Use the canonical route for this room, or HELP if you are unsure.

Next useful routeCanonical hubHELP

Top 200 Vocabulary for Primary 3 Mathematics | MOE P3 Maths Fractions, Area, Perimeter and Bar Graphs

—

by

eduKate Asia
Three students in school uniforms work through open books at a classroom table, with textbooks and stationery nearby and study notes on the whiteboard behind them.

Quick answer: Primary 3 Mathematics vocabulary is the language children use to read four-digit numbers, divide with remainders, compare equivalent fractions, convert units, work with time, calculate area and perimeter, recognise angles, and interpret bar graphs. This reader-first guide collects 200 numbered terms and phrases with plain-English meanings and worked Singapore-style questions.

The current MOE Primary Mathematics syllabus (2021 syllabus, updated October 2025) covers numbers up to 10,000; multiplication tables of 6 to 9; division with remainder; equivalent and related fractions; money calculations; compound measurements, seconds and the 24-hour clock; area, perimeter, lines and angles; and bar graphs. The list below includes terms from these topics and useful problem-solving language. It is an independent learning resource, not an MOE-mandated list of 200 examination words.

Find what you need:

Top 200 Primary 3 Maths vocabulary words and phrases

Use this list as a reference rather than a spelling test. A child needs to recognise a term in a question, explain its meaning, draw or model its relationship and apply it in an unfamiliar setting. Terms in two or more words are included deliberately because phrases often determine how a real word problem works.

1. Four-digit numbers and mathematical patterns (words 1–20)

  1. thousands place — The position whose digit counts complete groups of 1,000.
  2. four-digit number — A whole number written with four digits, such as 6,208.
  3. ten thousand — The quantity 10,000, immediately after 9,999.
  4. thousand-block — A model representing a group of one thousand units.
  5. four-place chart — A table showing thousands, hundreds, tens and ones.
  6. number up to 10,000 — The number range used for Primary 3 whole-number work.
  7. expanded notation — Writing 6,208 as 6,000 + 200 + 8.
  8. digit position — Where a numeral appears and therefore what it represents.
  9. value of the thousands digit — The number of complete thousands contributed by the first place.
  10. zero hundreds — A hundreds place containing no hundreds.
  11. count in thousands — Move through the number sequence by steps of 1,000.
  12. count in hundreds — Move through the sequence by steps of 100.
  13. predecessor — The whole number immediately before another.
  14. successor — The whole number immediately after another.
  15. increasing sequence — A number pattern whose values rise.
  16. decreasing sequence — A number pattern whose values fall.
  17. constant step — The same amount added or subtracted each time.
  18. pattern gap — A missing value determined by the sequence’s rule.
  19. compare four-digit values — Examine place values from left to right.
  20. ordered numerical sequence — A list arranged according to a stated rule.

2. Four operations and division with remainders (words 21–40)

  1. six-times table — A set of products involving multiplication by six.
  2. seven-times table — A set of products involving multiplication by seven.
  3. eight-times table — A set of products involving multiplication by eight.
  4. nine-times table — A set of products involving multiplication by nine.
  5. multiplicand — The number being multiplied in a multiplication statement.
  6. multiplier — The number specifying how many copies are taken.
  7. dividend — The quantity being divided.
  8. divisor — The number by which the dividend is divided.
  9. remainder — The amount left after making the greatest possible equal groups.
  10. division with remainder — A division result that includes leftover units.
  11. remainder rule — The remainder must be smaller than the positive divisor.
  12. multiplication algorithm — A reliable written procedure for multiplying numbers.
  13. division algorithm — A reliable written procedure for dividing numbers.
  14. three-digit by one-digit multiplication — A calculation such as 243 × 4.
  15. three-digit by one-digit division — A calculation such as 936 ÷ 3.
  16. four-digit addition — Combining whole numbers with up to four digits.
  17. four-digit subtraction — Finding a difference using numbers with up to four digits.
  18. partial product — One component of an overall multiplication result.
  19. check by reverse operation — Use division to test multiplication, or the reverse.
  20. calculation remainder check — Confirm dividend = divisor × quotient + remainder.

3. Equivalent fractions and fraction comparisons (words 41–60)

  1. equivalent fractions — Fractions showing the same quantity with differently sized parts.
  2. simplest form — A fraction with numerator and denominator having no common factor other than one.
  3. simplify a fraction — Divide numerator and denominator by the same common factor.
  4. unlike fractions — Fractions whose denominators are different.
  5. related denominators — Denominators where one is a multiple of the other.
  6. common denominator — One denominator used to express two fractions in equal-sized parts.
  7. equivalent fraction strip — A strip showing different fraction names for the same length.
  8. fraction comparison — Determine which of two fractional quantities is larger.
  9. compare unlike fractions — First express fractions using comparable equal parts.
  10. denominator not above twelve — The stated limit for given fractions in these P3 syllabus comparisons.
  11. numerator transformation — Change the numerator when converting to an equivalent fraction.
  12. denominator transformation — Change the denominator while keeping the fraction value fixed.
  13. multiply numerator and denominator — Scale both parts by the same non-zero number.
  14. divide numerator and denominator — Reduce both by the same common factor.
  15. fraction benchmark — A familiar fraction such as one-half used to judge other fractions.
  16. fraction in lowest terms — Another name for a fraction already in simplest form.
  17. related fraction addition — Add fractions whose denominators can be readily aligned.
  18. related fraction subtraction — Subtract fractions after making their parts comparable.
  19. one whole limit — The P3 work here keeps specified fraction sums and differences within one whole.
  20. equivalent representation — Different drawings or numerals that describe the same fraction.

4. Money calculations in decimal notation (words 61–80)

  1. add dollars and cents — Combine prices while aligning the decimal points.
  2. subtract dollars and cents — Find the monetary difference or remaining cash.
  3. money decimal column — A place-value position in a money calculation.
  4. cents column — The two decimal places that represent cents.
  5. carry one dollar — Regroup 100 cents as one dollar during addition.
  6. exchange a dollar — Rename one dollar as 100 cents when subtracting.
  7. purchase total — The combined cost of chosen products.
  8. price increase — A rise in cost between the old and new price.
  9. price reduction — A decrease in cost between the old and new price.
  10. money remaining after purchase — The starting amount minus the cost paid.
  11. shopping list calculation — Add several listed prices without omitting an item.
  12. two-item difference — Subtract the lower price from the higher price.
  13. price comparison table — A display that makes amounts easy to compare.
  14. decimal alignment for money — Place dollars above dollars and cents above cents.
  15. check the change — Add the price and change to recover the amount paid.
  16. cash balance — The money left after the transaction.
  17. refund — Money returned for a purchase.
  18. cash deposit — Money added to a stored amount.
  19. withdrawal — Money taken out of a stored amount.
  20. spending total — The amount of money used over several purchases.

5. Compound measurement and unit conversion (words 81–100)

  1. kilometre — A unit of length equal to 1,000 metres.
  2. km — The abbreviation for kilometre.
  3. millilitre — A unit of liquid volume equal to one-thousandth of a litre.
  4. ml — The abbreviation for millilitre.
  5. compound unit — A measurement written with two related units.
  6. kilometres and metres — A combined expression such as 2 km 300 m.
  7. metres and centimetres — A combined expression such as 4 m 25 cm.
  8. kilograms and grams — A combined expression such as 3 kg 150 g.
  9. litres and millilitres — A combined expression such as 1 L 600 ml.
  10. smaller unit — The unit whose single step represents a smaller measurement.
  11. larger unit — The unit whose single step represents a larger measurement.
  12. unit conversion — Express the same quantity in a different unit.
  13. convert km to m — Multiply kilometres by 1,000.
  14. convert m to cm — Multiply metres by 100.
  15. convert kg to g — Multiply kilograms by 1,000.
  16. convert L to ml — Multiply litres by 1,000.
  17. mixed measurement — A quantity written using both larger and smaller units.
  18. convert to smaller units — Rewrite all parts in one smaller unit for comparison.
  19. measurement equivalence — Two different unit expressions naming the same quantity.
  20. unit-consistency check — Make sure values use compatible units before combining them.

6. Seconds and 24-hour time (words 101–120)

  1. second — A time unit; sixty seconds make one minute.
  2. seconds abbreviation — The letter s used for seconds.
  3. 24-hour clock — A time system using 00:00 through 23:59.
  4. twelve-hour clock — A system using am and pm for times within two daily cycles.
  5. midday — Twelve noon, written 12:00 in 24-hour notation.
  6. midnight — The transition at the start of a new day; 00:00.
  7. thirteen hundred hours — A spoken military-style reading corresponding to 13:00.
  8. 14:30 — Twenty-four-hour notation for 2:30 pm.
  9. 23:45 — Twenty-four-hour notation for 11:45 pm.
  10. convert pm to 24-hour time — Add twelve to the hour for 1 pm through 11 pm.
  11. convert 24-hour time to pm — Subtract twelve from hours 13 through 23.
  12. start–finish–duration triangle — A reminder that any two determine the third.
  13. end-time calculation — Add a duration to a starting time.
  14. start-time calculation — Subtract a duration from the ending time.
  15. elapsed seconds — The number of seconds between two moments.
  16. minutes and seconds — A combined measurement of a short duration.
  17. time across the hour — An interval extending through one clock-hour boundary.
  18. time across noon — An interval extending from morning into afternoon.
  19. timeline method — Draw the chronological jumps that add up to a duration.
  20. time result check — Add the found duration back to verify the stated finish.

7. Area, perimeter and square units (words 121–140)

  1. area — How much two-dimensional surface a figure covers.
  2. perimeter — The total distance around a shape’s boundary.
  3. square unit — The area of a unit square used in covering a region.
  4. square centimetre — The area covered by a square one centimetre on each side.
  5. cm² — The abbreviation for square centimetre.
  6. square metre — The area covered by a square one metre on each side.
  7. m² — The abbreviation for square metre.
  8. unit-square grid — A grid made of equal squares for counting area.
  9. area model — A drawing showing how a surface is covered or partitioned.
  10. rectangle length — One side measurement of a rectangle.
  11. rectangle breadth — The perpendicular side measurement of a rectangle.
  12. length times breadth — The rule for finding a rectangle’s area.
  13. square side length — The equal side measurement used for square area and perimeter.
  14. four equal sides — A property used to calculate the perimeter of a square.
  15. boundary walk — Tracing a figure’s edges to understand perimeter.
  16. rectilinear figure — A shape whose sides meet at right angles.
  17. missing boundary segment — An unlabeled side whose length must be inferred.
  18. perimeter calculation — Adding the lengths of all sides around a figure.
  19. area calculation — Counting square units or using a correct area formula.
  20. area-versus-perimeter check — Distinguish square units of coverage from linear boundary units.

8. Angles and relationships between lines (words 141–160)

  1. angle — The amount of turn between two rays sharing an endpoint.
  2. vertex of an angle — The common endpoint of an angle’s arms.
  3. arm of an angle — One ray forming an angle.
  4. right angle — A quarter turn, measuring 90 degrees.
  5. smaller than a right angle — An angle with less than a quarter turn.
  6. greater than a right angle — An angle wider than a quarter turn.
  7. quarter turn — A rotation through one-fourth of a full revolution.
  8. half turn — A rotation through one-half of a full revolution.
  9. full turn — A complete revolution returning to the starting direction.
  10. parallel lines — Straight lines in a plane that remain the same distance apart.
  11. perpendicular lines — Straight lines that meet at right angles.
  12. line intersection — A point at which lines cross.
  13. right-angle marker — A small square symbol showing a 90-degree angle.
  14. horizontal direction — Across, like a level shelf in a diagram.
  15. vertical direction — Up and down relative to the page or ground.
  16. angle opening — The spread between the arms, not their lengths.
  17. draw a parallel line — Construct a straight line that will not meet the given one.
  18. draw a perpendicular line — Construct a straight line meeting the given one at 90 degrees.
  19. square-grid geometry — Using grid lines to draw and inspect geometric relationships.
  20. orientation-independent angle — An angle’s size does not change when the diagram is rotated.

9. Bar graphs, axes and data scales (words 161–180)

  1. bar graph — A display using bars of measured lengths to show quantities.
  2. bar height — How far a vertical bar rises on the numbered axis.
  3. bar length — How far a horizontal bar extends on the numbered axis.
  4. horizontal axis — The axis normally drawn from left to right.
  5. vertical axis — The axis normally drawn from bottom to top.
  6. axis label — Words or numbers identifying an axis.
  7. axis scale — The numerical steps marked along an axis.
  8. scale interval — The value separating neighbouring marked points.
  9. bar category — The group named underneath or beside a bar.
  10. bar value — The quantity represented by a bar.
  11. read the vertical scale — Convert bar height into the labelled numerical value.
  12. read the horizontal scale — Read the quantities along a horizontal bar graph.
  13. compare two bars — Find which bar represents more and by how much.
  14. bar-chart title — A heading describing the dataset shown.
  15. highest bar — The bar representing the greatest displayed value.
  16. lowest bar — The bar representing the least displayed value.
  17. scale of five — An axis that increases in steps of five units.
  18. scale of ten — An axis that increases in steps of ten units.
  19. data total — The sum of all represented category values.
  20. data-based conclusion — A statement supported by values shown in the graph.

10. Primary 3 problem-solving language (words 181–200)

  1. number relationship — A rule connecting two or more quantities.
  2. given information — Facts supplied in the wording or diagram.
  3. unknown quantity — The value the question requires us to determine.
  4. question target — The precise value requested by the final sentence.
  5. important unit — The measurement label that must accompany the answer.
  6. representation choice — Deciding whether a table, model or equation best shows the story.
  7. bar model — A rectangle-based drawing representing part–whole or comparison relationships.
  8. comparison bar — A bar-model arrangement showing a gap between two quantities.
  9. part–whole bar — A model splitting a total into components.
  10. equal-unit bar — A model whose equal segments represent equal quantities.
  11. repeated-group story — A real-life setting containing equal groups.
  12. before-and-after story — A question where a quantity changes over time.
  13. unit mismatch — An error caused by combining incompatible units.
  14. remainder interpretation — Explaining what leftover objects mean in the story.
  15. remainder too large — A signal that the division needs correction.
  16. inverse check — Testing a calculation through the reverse relationship.
  17. reasonable range — The approximate size within which an answer should fall.
  18. explain the representation — Describe what each drawn bar or number stands for.
  19. write the final unit — Express a result as books, metres, dollars or another relevant unit.
  20. transfer to a new story — Use the same mathematical relationship with changed surface details.

Six worked examples that make the language useful

1. A remainder is a relationship, not a leftover guess

Question: A teacher has 29 pencils and puts 6 pencils in each pack. How many full packs can be made, and how many pencils are left? Divide: 29 ÷ 6 = 4 remainder 5. Four complete packs use 24 pencils; five remain. Check with the relationship 6 × 4 + 5 = 29. The remainder is smaller than the divisor 6, so no further full pack can be made. If the question instead asks how many packs are required for all pencils, five packs are needed. Read what the story actually asks before interpreting the remainder.

2. Equivalent fractions let us compare unlike parts

Question: Which is larger, 3/4 or 2/3? The denominators are different, so the pieces are different sizes. Rename 3/4 as 9/12 and 2/3 as 8/12. Nine twelfths is larger than eight twelfths, so 3/4 is larger. The fractions have not changed value; their representations have changed. Another question: 1/2 + 1/4 = 2/4 + 1/4 = 3/4. The resulting fraction stays within one whole, matching the focus of the P3 work described in the syllabus.

3. Compare compound measurements in a common unit

A hiking path is 2 km 350 m and another is 1 km 900 m. Rewrite them as 2,350 m and 1,900 m. The first is 450 m longer. A child who subtracts “2 − 1” and “350 − 900” separately without regrouping will run into trouble. The correct first move is choosing one unit, not choosing a subtraction algorithm.

4. Start time, end time and duration are three different roles

A class begins at 14:35 and ends at 15:20. It lasts 25 minutes to 15:00 and another 20 minutes after that, for 45 minutes. The times on the clock are points in the day; 45 minutes is a duration. If 45 is added to the hour digits directly, the mathematical meaning is lost. A timeline makes the distinction visible.

5. Area versus perimeter: the same rectangle, two questions

A rectangle is 8 cm long and 3 cm wide. The area is 8 × 3 = 24 cm², measuring the surface covered. The perimeter is 8 + 3 + 8 + 3 = 22 cm, measuring the boundary. Draw a grid of 24 small squares, then trace the outer edge. Ask the child why one unit is squared and the other is not. Formula memorisation without this distinction creates avoidable errors.

6. Bar graphs: the height is not automatically the number

Imagine a bar graph with marks 0, 5, 10, 15 and 20 on its vertical axis. A bar reaches the third marked step above zero, representing 15 pupils, not three pupils. Before comparing bars, ask the child to locate the axis, its label and its scale interval. Then request a sentence citing the values displayed: “The blue group has 15 pupils, five more than the red group’s ten.”

Why Primary 3 feels different even when the arithmetic is familiar

In the earlier years, many problems can be solved by counting and by working with direct quantities. At Primary 3, the child must often work with representations of relationships: a number can be exchanged between place values, a fraction renamed in equivalent parts, a distance expressed in two unit systems and an area represented by a grid. The written question may be short while the reasoning underneath it is not.

This is why vocabulary is not a decorative supplement to Mathematics. Words such as equivalent, perimeter, remainder, scale and duration carry instructions about what is preserved, what is measured and what is unknown. The better a student can explain those distinctions, the less often the student must guess which familiar worksheet method to imitate.

Seven high-value misunderstandings to repair

  1. Remainder equals extra full group: Build actual groups and inspect whether enough pieces remain to make another complete group.
  2. All fractions with bigger denominators are bigger: Fold equal paper strips and compare the sizes of thirds, fourths and sixths.
  3. Add numerators and denominators independently: Convert to a common partition, then count the selected parts.
  4. Area and perimeter use the same units: Cover a rectangle with squares and trace the edge with a string.
  5. Vertical lines are always perpendicular: Look for a right angle at the intersection; vertical describes orientation, not every pair’s relationship.
  6. 24-hour time is a calculation involving 24: Show the same afternoon event on two clock formats, such as 2:30 pm and 14:30.
  7. Every graph bar unit is one: Read the labelled axis scale before deciding the actual bar value.

When correcting, ask one question at a time: What does this word represent? Which quantities are related? Which part of the representation does the answer use? The first answer reveals whether the difficulty is vocabulary, concept knowledge, a calculation, or the final unit.

How to use this glossary without creating another 200-word homework burden

Pick the five to ten terms that appear in the next school topic. Start with objects or diagrams. Have the child speak an explanation, complete one familiar example, then try one changed example. Revisit a few days later. Short retrieval sessions spaced across the week are more useful than copying all definitions in one long sitting.

Vocabulary should also cross into life. Measure a plant pot’s perimeter with string, estimate its rectangular footprint using a grid, compare two shopping bills, or read the travel time shown on a bus schedule using 24-hour notation. The activity changes; the mathematical meaning remains. That is the transfer we want.

A calm four-week Primary 3 Mathematics vocabulary plan

Week 1 — Number structures and division

Build four-digit numbers; use the 6, 7, 8 and 9 multiplication tables in equal-group stories. Give remainders a physical meaning and check division through multiplication.

Week 2 — Fractions and money

Fold strips to show equivalent fractions and simplify by equal subdivisions. Compare fractions using a common denominator. Use shopping receipts for aligned dollar-and-cent addition and subtraction.

Week 3 — Measurement and geometry

Convert between compatible units with easy examples, work from 24-hour time to duration, then measure a rectangle’s area and perimeter. Build angles and draw parallel and perpendicular lines on square paper.

Week 4 — Graphs and unfamiliar word problems

Construct a small bar graph with a clearly labelled axis and scale of five. Ask the child to write a question from the graph. Finish with mixed problems that require the child to choose a representation without being told the chapter.

What parents, students and teachers should look for

Parents: watch for clarity of explanation and ask where the child first becomes uncertain. Students: circle the question target, write the necessary units, and check whether the final sentence answers that target. Teachers and tutors: compare performance on a familiar question with one that changes the context or the diagram. Improvement on both is stronger evidence than a high score on a rehearsed pattern.

A child who repeatedly confuses the two units of a compound measure needs unit sense, not a larger number of mixed worksheets. A child who understands an area grid but forgets the multiplication step may need calculation fluency. Identify the starting position before selecting tuition or additional practice: sign up for Mathematics tuition only after that position is clear.

Frequently asked questions

Is Primary 3 a big change in Singapore Mathematics?

It increases the range of numbers, adds formal equivalent-fraction work and expands measurement, area, perimeter, line relationships and graph interpretation. These require accurate understanding of mathematical language alongside arithmetic.

Does the 2026 syllabus include division with remainders in P3?

Yes. The current official syllabus lists division with remainder in Primary 3. The interpretation must still be matched to the real question: how many full groups, how many leftover objects, or how many containers are required.

Should my child convert between cm² and m²?

The Primary 3 syllabus explicitly excludes conversion between square centimetres and square metres in its area measurement section. Focus instead on understanding area units and converting the length, mass and volume units specified for the year.

Does Primary 3 teach angles in degrees?

Primary 3 introduces the concept of angles and comparison with a right angle. Formal measuring and drawing given degree sizes is part of later learning, particularly Primary 4.

How do I know if a word is actually understood?

Ask for a drawing, a spoken definition and a new example. If the child can explain why a remainder of 6 is impossible when dividing by 6, the concept is becoming stable.

Source and next learning routes

Use MOE’s October 2025 Primary Mathematics syllabus for exact year-by-year learning outcomes. See the eduKate guide to the Primary 1–6 Mathematics syllabus, the Primary 2 Mathematics vocabulary foundation and the guide to exam command words and notation. These are complementary resources, not replacements for school teaching.