For an international student entering Singapore Primary 4 in 2027 through AEIS, Mathematics advances to numbers up to 100,000, factors and multiples, mixed numbers, decimals up to three decimal places, angles, symmetry, nets and data interpretation. The Primary 4 Science syllabus includes plant systems, the human digestive system, matter, light and heat. These are subjects studied after joining the school, not additional entrance examination papers. Under SEAB’s published AEIS format, a Primary 4 applicant must meet the accepted Cambridge English qualification requirement and sit the Primary 4/5 Mathematics entrance test, which assesses readiness based on the Singapore curriculum at the preceding level, Primary 3.

For a Punggol family, the practical challenge is to move from one school system to another without confusing entry-test preparation, Primary 4 classroom learning and the later Primary 5–6/PSLE pathway. A child may have excellent number fluency but have never learned the Singapore conventions for bar graphs, composite figures or scientific explanations. Another may know Science topics but find English academic vocabulary difficult. Good teaching begins with a small diagnostic, connects what the student has already learned to the correct current syllabus and allows time for friendships, Mother Tongue arrangements and the ordinary school day. This guide provides a verified topic map, original worked questions and a first-month plan, without presenting private exercises as official AEIS papers.

Quick answers:

• Primary 4 AEIS entrance: the Primary 4/5 Maths test—30 MCQs in 35 minutes, then 8 short-answer and 6 open-ended questions in 50 minutes.
• Calculator: not allowed in the published AEIS Primary test; written working matters.
• Entrance revision: Singapore Primary 3 Mathematics, the year preceding intended Primary 4 entry.
• P4 Maths after admission: numbers to 100,000; rounding; factors/multiples; mixed and improper fractions; decimals to three places; geometry and data.
• P4 Science after admission: plant parts and functions, digestion, matter, light and heat.
• Assessments: weighted school assessments may apply, but MOE removed mid-year examinations at all primary levels by 2025.
• Next years: Primary 4 builds foundations for Primary 5 and eventual Primary 6 PSLE, but P4 itself is not the PSLE year.
• First action: confirm the actual offered school’s current Maths, Science and English topics before buying extra lessons.

Editorial check: 13 November 2026. Primary Mathematics topics have been checked against MOE’s October 2025 syllabus update and Science topics against the May 2024 Primary Science syllabus; AEIS paper structure follows SEAB’s July 2026 test details. Actual school assessment weights and topic order are set by the receiving school. The worked problems below are original teaching activities, not SEAB past papers.

1. The Primary 4/5 AEIS entrance paper is not the Primary 4 year-end test

International families sometimes search for “Primary 4 AEIS papers” and end up studying entire Singapore Primary 4 or 5 textbooks before understanding which test the child will actually sit. SEAB’s current test-details page says that Primary 4 and Primary 5 applicants use the Primary 4/5 Mathematics test structure. The content preparation guidance remains the level immediately preceding the one sought.

For Primary 4 entry, that means a strong grasp of relevant Primary 3 Mathematics—such as whole numbers up to 10,000, tables 6–9, equivalent fractions, area/perimeter, time and scaled bar graphs. The child should be comfortable reading unfamiliar word problems and showing steps without a calculator. A student who studies advanced Primary 5 topics while still misunderstanding place value is investing in the wrong preparation sequence.

The published test has two parts. Part 1 consists of 30 MCQs completed in 35 minutes, recorded on an Optical Answer Sheet. Part 2 has eight short-answer and six open-ended items completed in 50 minutes. Working steps are required for the written-response questions. Those are entrance-test conditions, distinct from the receiving school’s later class assessments.

What English document is required?

Primary candidates need the appropriate Cambridge English Qualification Statement of Results according to their age and the actual AEIS or S-AEIS exercise. This might involve A2 Key for Schools or B1 Preliminary for Schools under the relevant official eligibility rules. Do not infer the correct qualification from a friend’s age or from a commercial placement test; check MOE’s actual age-specific requirements.

A qualifying Cambridge result does not itself secure a school place. AEIS also requires the Mathematics assessment and is subject to eligibility and vacancies. A Punggol residential address or excellent private mock score does not guarantee admission to a named school in the estate.

AEIS and S-AEIS have different Primary 4 paper labels

The main AEIS exercise publishes a combined Primary 4/5 test format. The supplementary S-AEIS exercise separately publishes a Primary 4 test and does not offer Primary 5 entry. Parents should check which exercise and school start are intended before using the relevant test specification. They cannot assume that the supplementary examination has an identical label or that eligibility transfers automatically.

2. Primary 4 assessment is school-based, not another AEIS attempt

MOE’s Education Conversations page explains that weighted assessments and examinations were removed for Primary 1 and 2 from 2019, while mid-year examinations were removed at all primary levels by 2025. Primary 4 schools may still have weighted assessments and other feedback tasks, subject to their own plans. A family should not prepare for an obsolete national P4 mid-year examination because an older website lists it.

Ask the receiving school how and when the child will be assessed. Some class activities may provide formative feedback without contributing to a reported grade. A school-based weighted assessment may test the current term’s topics and require a different preparation schedule. The school, not a general AEIS article, provides the actual weighting and school calendar.

What should the first school assessment tell parents?

One low result can identify a knowledge or language gap, but it does not prove the child lacks ability. The learner may have mastered fractions in another method yet be unfamiliar with a Singapore diagram, or may know a Science concept but not the precise English used to explain it.

Ask which steps were wrong, whether the child could correct them independently, and whether the concept transfers to a new example. A specific correction is more useful than repeatedly asking for a target percentage unrelated to the student’s present learning needs.

3. What is in the Singapore Primary 4 Mathematics syllabus?

MOE’s 2021 Primary Mathematics syllabus, updated October 2025, describes Primary 4 across Number and Algebra, Measurement and Geometry, and Statistics. The curriculum becomes more demanding in number size, symbolic representation, decimal precision and multistep problem interpretation.

One important distinction is that the syllabus covers decimals with up to three decimal places for notation, representation and comparison, but specific arithmetic operations are introduced within stated limits. Do not assume every three-decimal calculation is automatically a P4 expectation. Use MOE’s exact syllabus and the school’s current learning objectives.

Whole numbers become larger, but understanding should remain visible

In 58,407, the digit eight means 8,000, not 800. A student who reads the number correctly but misinterprets a digit’s position may later struggle with rounding and estimation. Use expanded form and compare close numbers to reveal whether place value is secure.

Rounding should involve an explanation of the chosen place. To round 58,407 to the nearest thousand, inspect the hundreds digit, four. The result is 58,000. The child should explain why it does not become 59,000. A memorised rule without understanding can fail when a zero appears.

Factors and multiples connect to patterns and divisibility

A factor divides a number exactly; a multiple is produced by multiplying the number by a whole number. For example, six is a factor of 24 because 24 ÷ 6 = 4; 24 is a multiple of six. Teach this relationship through arrays and grouping, not just a list of definitions.

Comparing two numbers can reveal common factors and multiples. The goal is to see their mathematical relationship and use it in suitable problems, not to memorise long unrelated tables.

Fractions and decimals need a shared concept of the whole

A fraction of a set means applying a stated proportion to a collection. A mixed number combines a whole number and a fraction; an improper fraction can express the same quantity. A decimal extends place value to tenths, hundredths and thousandths. These are different representations of numerical relationships, not three unrelated chapters.

Ask the child to show 1.5 as one and a half, 3/2 or 1 1/2 in an appropriate context. Then change the number to 1.25 and see if the learner can explain the quarter. Avoid forcing a conversion technique before the meaning is understood.

4. Primary 4 Science: systems, matter, light and heat

MOE’s Primary Science syllabus identifies five areas in its Primary 4 overview: plant parts and functions; the human digestive system; matter; light; and heat. This builds on Primary 3’s diversity, life cycles and magnets. A child entering P4 should understand enough earlier Science to participate meaningfully in current lessons without necessarily repeating all of Primary 3.

Plant system: structure is linked to function

Knowing the word “stem” is not enough if the question asks what the stem helps the plant do. Students learn to explain functions of plant parts in terms appropriate to the curriculum. Ask the child to connect a labelled structure to what it does, rather than merely identifying it in a diagram.

Home observation can help: look at a familiar plant safely and identify visible parts. Do not pull up living plants from shared public spaces or make claims about functions that require an experiment the child has not conducted.

Human digestive system: sequence and roles

A student needs to understand how food moves through the digestive system and the relevant functions of organs at the prescribed level. A common mistake is listing organ names without explaining what happens in the process. Encourage a labelled diagram and a verbal description of the sequence.

Use the school’s official diagrams and terminology rather than a university-level anatomy resource. More detail is not always better if it distracts from what the child is expected to learn.

Matter: distinguish a material from a change in its state

A child may see ice melt or water evaporate but need help explaining how matter changes form under certain conditions. Teach accurate observation first, then the relevant model. Do not claim a substance has disappeared simply because it is no longer visible in the same state.

Light: what is observed and what is inferred?

A shadow can be observed, measured and compared. Asking why it changes requires the child to consider the position of the light source, object and screen. Encourage careful descriptions and safe demonstrations. Never ask a child to look directly at the sun or use unsafe bright light equipment.

Heat: use safe examples and correct language

Students may explore heat-related changes in everyday life. They should learn relevant concepts through school-approved materials, diagrams and supervised observations. Do not ask a primary child to heat chemicals or handle boiling liquids without appropriate adult and school safety procedures.

5. English and Mother Tongue remain part of the P4 transition

A child’s Cambridge English score satisfies a particular admission evidence requirement where applicable. It does not automatically show that the child can write a school composition, infer the meaning of a factual passage or explain a Science conclusion. Teach classroom academic words such as compare, classify, justify, interpret, infer and conclude through actual schoolwork.

For a P4 learner, writing increasingly requires organisation and relevant development. A short story should have an event sequence and cause-and-effect relationship; an explanatory answer should contain a clear point and supporting evidence. A child who writes many impressive words but never answers the question needs help with task relevance.

The Mother Tongue arrangement should be clarified with the receiving school. Do not assume international nationality automatically means exemption, or that the family’s home language becomes the assigned school language without an approved arrangement. Gather accurate prior language-learning information and ask about applicable options before purchasing specialist materials.

6. Ten original P4 Mathematics and Science examples

These examples illustrate curriculum concepts and teach reasoning. They are not official AEIS, SEAB, MOE school or PSLE questions. They should be used to identify and repair gaps, not to predict an entrance score.

Example 1: place value and rounding

Question: Round 67,482 to the nearest thousand. Answer: 67,000 because the hundreds digit is four. Ask why it does not round to 68,000, then change the number to 67,582 to check whether the student applies the rule.

Example 2: factors and common factors

Question: List the common factors of 18 and 24. Working: Factors of 18 include 1, 2, 3, 6, 9, 18. Factors of 24 include 1, 2, 3, 4, 6, 8, 12, 24. The common factors are 1, 2, 3 and 6. Ask why 12 cannot be a factor of 18.

Example 3: mixed and improper fractions

Question: Express 1 3/4 as an improper fraction. Answer: 7/4, because one whole is 4/4 and 4/4 + 3/4 = 7/4. Ask the learner to draw a model and explain why the denominator stays four.

Example 4: fraction of a set

Question: Three fifths of 45 stickers are blue. How many are not blue? Working: 3/5 × 45 = 27 blue, leaving 45 − 27 = 18. Alternatively, the non-blue fraction is 2/5, so 2/5 × 45 = 18. The final answer must address not blue, not the intermediate blue count.

Example 5: compare decimal place values

Question: Which is larger: 1.375 or 1.37? Answer: 1.375 is larger because 1.370 and 1.375 share the same tenths and hundredths, but 1.375 has five more thousandths. Ask why counting digits without aligning place values is misleading.

Example 6: rounding a decimal

Question: Round 3.486 to two decimal places. Answer: 3.49 because the third decimal digit is six, which rounds the hundredths digit up. The learner should identify the place being rounded before performing the operation.

Example 7: unknown dimension of a rectangle

Question: A rectangle has area 96 cm² and length 12 cm. Find its width and perimeter. Working: Width = 96 ÷ 12 = 8 cm. Perimeter = 2(12 + 8) = 40 cm. Ask the student to check whether the answer is about area or boundary length.

Example 8: a composite figure

Question: A 10 cm by 6 cm rectangle has a 2 cm by 3 cm corner cut away. Find the remaining area. Answer: 10 × 6 − 2 × 3 = 60 − 6 = 54 cm². This is an original diagram-free description; ask the child to draw and label the cut-out before calculating.

Example 9: reading a line-graph change

Question: A graph shows 12 books borrowed on Monday and 19 on Tuesday. What is the change? Answer: An increase of seven books, not “Tuesday is seven times Monday”. The child should distinguish a difference from a ratio and inspect graph labels and scales.

Example 10: observation versus inference in Science

Question: A cup of ice water has droplets on its outside surface. Is “droplets are visible outside” an observation or inference? Answer: Observation. A claim about how the water appeared is an explanation that should connect to the relevant taught concept. Teach the student to separate what they saw from why it happened.

After each worked example, change a value, condition or requested quantity and ask the child to solve independently. A method that works only when the model answer is open has not yet been transferred to new learning.

7. Diagnose the earliest error rather than assigning the whole previous syllabus

An incoming student may have covered a different set of topics overseas. For example, they may understand fractions but not Singapore-style composite area problems, or they may know heat concepts but struggle with diagrams in English. The first question is what has already been learned and demonstrated independently.

A useful four-column diagnostic records the current topic, evidence of prior understanding, earliest error and next teaching action. If the child can calculate 96 ÷ 12 but cannot recognise that area divided by length gives width, the gap is the geometric relationship, not basic division. If they can explain the science idea orally but not write it accurately, the gap may be scientific English.

Do not treat the child’s overseas school as inherently easier or harder. Curricula allocate topics differently, and a capable learner may need a bridge in both directions. Teach the specific missing link and check transfer with a new situation.

8. First month: school organisation and belonging are part of the plan

Confirm the reporting instructions, class, subject schedule, daily arrival and dismissal, homework system and approved parent communication route. A family in Punggol should plan from the actual offered school rather than assume the nearest campus. Young students may need an accompanying adult and a reliable backup route.

A child can be academically prepared yet feel uncertain at recess or during group work. Encourage a manageable social goal: learn a classmate’s name, ask a teacher for clarification or join a suitable activity. The student should know which adult to approach for help. Academic tutoring is not a replacement for safe routines or a sense of belonging.

Parents Gateway and SLS may be used for communication or learning. An international parent without Singpass may need an alternative arrangement from the receiving school. Do not share government logins with unverified intermediaries or expect the AEIS Candidates Portal to become the daily homework account.

9. How P4 connects to Primary 5 without pretending it is already PSLE year

Primary 4 builds arithmetic, fractions, decimal precision, reading comprehension, scientific explanation and independent study habits that will help in later years. But P4 itself is not the national Primary School Leaving Examination year. Parents should not force the child into full PSLE exam routines before understanding P4 foundations and school wellbeing.

Ask whether the student can explain a Maths method, write a coherent answer and distinguish Science observation from inference. These skills transfer to P5 and P6. A weak foundational concept can be repaired now more efficiently than by waiting until a harder problem exposes it later.

The PSLE Achievement Level scoring system will matter at the appropriate Primary 6 stage. It is not a conversion table for a Primary 4 AEIS entrance score, and the family should not treat a private mock Maths mark as a PSLE AL prediction.

10. Four-week curriculum bridge for a P4 entrant

Week one: separate entrance readiness from class readiness

Check the actual age-eligible AEIS route and the preceding P3 content if the child is still preparing for admission. If the school offer has arrived, ask what the class is teaching now, gather independent work samples and confirm the assessment schedule.

Week two: focus on two mathematical foundations

Choose the most consequential number or problem-solving gaps—perhaps place value, factors/multiples, fractions or decimal representation. Use clear worked examples and then new independent questions. Avoid assigning an entire textbook before identifying the bottleneck.

Week three: strengthen scientific explanation and academic English

Use a relevant plant, digestive, matter, light or heat topic from the actual class. Teach the precise vocabulary and claim–evidence–reason structure appropriate to the student’s level. Use safe diagrams and school-approved observations rather than unsafe household experiments.

Week four: review transfer, assessment and routines

Check whether the child solves new problems independently and explains them clearly. Review teacher comments, classroom participation and any necessary Mother Tongue arrangements. Preserve time for play, rest and friendships. Four weeks is a planning framework, not a universal promise of complete adaptation.

11. Choosing additional tuition with evidence

Small-group teaching can help when a student needs responsive feedback and a manageable number of targeted tasks. But there is no reason to pay for repeated chapters that the child has already mastered. A tutor should be able to explain which concept is weak, how the lesson will repair it and what independent performance will show progress.

For example, a child who knows decimal notation but consistently chooses the wrong operation in word problems needs task interpretation, not endless column arithmetic. A child who understands Science but writes incomplete explanations needs language support linked to the actual subject content. Align teaching with the receiving school’s work rather than a generic commercial “P4 distinction programme”.

Parents should also avoid claims that one course guarantees a particular Primary 5 stream, an immediate AL score or a named Punggol school. School admissions, classroom assessment and later examinations have their own official requirements.

Frequently asked questions

Which Maths paper is used for AEIS Primary 4 admission?

SEAB’s Primary 4/5 Mathematics test for the main AEIS exercise, comprising 30 MCQs and 14 written-response questions under the published format.

Should an AEIS P4 applicant study P3 or P4 Mathematics?

SEAB advises the Singapore level preceding the intended entry—P3 for a Primary 4 applicant.

Are calculators allowed in the AEIS Primary 4/5 test?

No, according to SEAB’s current test details.

What numbers are covered in school P4 Maths?

MOE lists numbers up to 100,000, along with factors, multiples and broader operations.

Do P4 students learn decimals up to three decimal places?

Yes for notation and representation. The syllabus specifies separate limits for particular operations and rounding tasks.

What Science topics are taught in P4?

The official overview includes plant parts/functions, human digestion, matter, light and heat.

Are there weighted assessments in Primary 4?

School-based weighted assessments may apply. Check the actual school’s current weighting and timetable.

Are there mid-year exams in Primary 4?

MOE removed mid-year examinations at all primary levels by 2025, though other assessments and feedback remain.

Does an AEIS result guarantee a particular Punggol primary school?

No. MOE’s admission process and available vacancies determine school offers.

Must international students automatically study Chinese, Malay or Tamil?

The receiving school should clarify the child’s applicable Mother Tongue arrangement, including any official options. Do not assume automatic exemption.

Does Primary 4 determine the child’s PSLE Achievement Level?

No. PSLE is a later Primary 6 examination; a P4 school assessment or AEIS practice mark cannot be converted into an official future AL.

What is the most useful first-month priority?

Identify the current school topics, repair a few consequential Maths and Science gaps, and establish safe routines and independent learning habits.

Official sources and connected reading

• SEAB: AEIS Primary 4/5 Test Structure
• SEAB: Separate S-AEIS Primary 4 Test
• MOE Primary Mathematics Syllabus, October 2025
• MOE Primary Science Syllabus, May 2024
• MOE: Current Assessment Policy
• AEIS Primary 4/5 Mathematics Entrance Test Worked Solutions
• Joining Primary 3 in 2027: Earlier Curriculum Bridge
• Joining Primary 5: Future PSLE Planning
• AEIS Singapore Parent Hub

A useful next action: prepare P3 Mathematics for the AEIS Primary 4 entry test, but plan the P4 Maths and Science subjects as the separate school curriculum after admission. Correct a small number of real learning gaps, then use classroom feedback to guide progress towards Primary 5.