Did you know that “hence” in a Maths question is a route instruction? It usually tells the student to use a result, form or relationship established earlier to reach the next answer. A child who restarts with an unrelated method may miss the intended connection even when the mathematics is familiar.
Ask your child to draw an arrow from the earlier result to the word “hence,” then finish this sentence: “I can use the earlier result because…” If they cannot name the bridge, stop before calculating and compare the two parts of the question.
Bring both question parts and the child’s first attempt to tuition. The tutor should check whether the difficulty is the command word, algebraic substitution, recognising an equivalent form or carrying a valid result forward—not simply give the final steps.
eduKateSG · Bukit Timah · Parent learning guide
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Locate the earlier result, name the bridge and keep the dependency visible.
SECTION 1 OF 5
Read “hence” as a connection
In ordinary English, “hence” can mean “for this reason” or “from this point.” In a mathematical task, the useful reading is: use what has just been shown, found or given to obtain the next result.
Circle the exact earlier result that the next part depends on. It may be a factorised expression, an identity, a value, a gradient, a ratio or a geometric relationship. Do not assume that every previous line is equally relevant.
Then ask what the new part changes. It may replace a variable, request a related value or ask for an interpretation. The connection should be explainable before the calculation begins.
SECTION 2 OF 5
Keep “show that” and “hence” separate
A “show that” part supplies a target that the student must justify. A following “hence” part often treats that established result as a tool. Copying the target without valid working does not establish the bridge.
If the child could not complete the earlier part, the teacher or tutor may still use the stated result to teach the later dependency. Mark clearly that this is supported continuation, not an independently proved result.
When reviewing, return to the missing earlier reasoning. Otherwise the student may learn to imitate the later steps without understanding why the result was available.
SECTION 3 OF 5
Try an original algebra illustration
Original teaching illustration: Suppose a question establishes that x² − 5x + 6 = (x − 2)(x − 3), and then asks, “Hence solve x² − 5x + 6 = 0.” The bridge is the factorised form.
Using the earlier result gives (x − 2)(x − 3) = 0. Therefore x − 2 = 0 or x − 3 = 0, so x = 2 or x = 3. The new task is solving the equation; the earlier part has already supplied the useful structure.
A tutor can test transfer by changing the coefficients and asking the student first to identify what result a future “hence” part would need. The aim is to see the dependency, not memorise this particular factorisation.
SECTION 4 OF 5
Show the bridge in the written solution
Write the earlier result again when it helps the reader follow the solution. Then show the substitution, equivalence or consequence that turns it into the next step. A bare answer may hide whether the child used the intended relationship.
If several previous results exist, label the one being used: “From part (a)…” or “Using the factorised form…” Clear mathematical writing also helps the child check that the carried result was copied correctly.
Do not force a long explanation when concise notation is enough. The needed amount of working depends on the task and assessment instructions, so use the relevant school and syllabus guidance.
SECTION 5 OF 5
Diagnose why the connection was missed
If the child ignores “hence,” teach command-word reading. If they recognise the instruction but cannot use the result, inspect the specific algebra, geometry or data connection. If they copy the result incorrectly, use a transcription check before continuing.
At secondary level, the examples must match the student’s actual Mathematics or Additional Mathematics course and subject level. Not every subject is available at every G level, and school offerings can differ.
The SEC begins in 2027. SEAB states that candidates sit subjects at their respective G1, G2 or G3 levels. Match practice to the correct subject, examination year and candidate type rather than treating “SEC Maths” as one undifferentiated paper.
Contents · Previous · Discuss your next step
Bring one useful example to a consultation
Bring one linked, multi-part Maths question. Ask the tutor to mark the earlier result, the bridge and the first dependent step separately. Then use a fresh question to check whether the student recognises “hence” without prompting. Confirm suitable 3-pax placement and current arrangements directly.
Continue with the closest guide
- Bukit Timah Primary to SEC decision guide
- Why Does My Child Get Part (a) Right but Struggle With Part (b)?
- How Mathematics Examination Works: Command Words and Notation
- Should My Child Show Full Working for Tuition Homework?
Sources and scope
The algebra example is an original teaching illustration and its solutions have been checked. “Hence” can be used in different mathematical contexts; this guide gives a reading routine rather than a universal marking rule. SEC information was checked against SEAB on 11 October 2026. Use the actual syllabus and school instructions for the student’s subject and examination year.