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MYP Maths: Decimals & Percentages — What Students Need to Know

Answered by RevisionPrep's IB Educators

Decimals and percentages sit inside MYP Criterion A (Knowing and Understanding) and Criterion C (Communicating), and they trip up more MYP 1-3 students than any other number topic. Here's what you actually need to know, the mistakes I see every year, and how to fix them before they cost you marks.

Core concepts & skills

Decimals & percentages: what do MYP Maths students need to know?

MYP 1-3 students need to convert fluently between fractions, decimals and percentages, round to significant figures and decimal places, calculate percentage increase/decrease, and apply this to real contexts like discounts, tax and interest. It falls under Criterion A (Knowing and Understanding) and appears constantly in Criterion D investigations too.

Core skills checklist:

  1. Convert fraction ↔ decimal ↔ percentage without a calculator for common values (1/4, 3/5, etc.)
  2. Round correctly to a stated number of decimal places or significant figures
  3. Find a percentage of an amount
  4. Calculate percentage change: (change ÷ original) × 100
  5. Reverse percentage problems — find the original amount before an increase/decrease

How do you convert a fraction to a decimal and a percentage?

Divide the numerator by the denominator to get a decimal, then multiply by 100 to get a percentage. For 3/8, that's 3 ÷ 8 = 0.375, so 0.375 × 100 = 37.5%. This three-step chain — fraction, decimal, percentage — is the single most-tested conversion skill in MYP 1-2.

Worked example: Convert 5/8 to a percentage.

  1. 5 ÷ 8 = 0.625
  2. 0.625 × 100 = 62.5%

Quick tip: memorise eighths (12.5%, 25%, 37.5%...) and you'll convert most exam fractions in seconds without a calculator.

How do you calculate a percentage increase or decrease?

Find the actual change (new value minus original), divide by the original value, then multiply by 100. A price rising from 40 to 50 is a change of 10, so 10 ÷ 40 × 100 = 25% increase. Always divide by the ORIGINAL value, not the new one — that's the most common error.

Worked example — decrease: A jacket drops from 80 to 60.

  1. Change = 80 − 60 = 20
  2. 20 ÷ 80 = 0.25
  3. 0.25 × 100 = 25% decrease

Common mistake: dividing 20 by 60 (the new price) instead of 80. That gives 33.3%, which is wrong because it compares the change to the wrong base.

What's the difference between percentage change and reverse percentages?

Percentage change tells you how much a value moved, given both the before and after figures. Reverse percentages work backwards — you're given the final amount after an increase or decrease and need to find the original. Reverse problems trip up more students because you can't just multiply by the percentage directly.

Worked example (reverse percentage): A shirt costs 45 after a 25% discount. Find the original price.

  1. 45 represents 75% of the original (100% − 25%)
  2. 45 ÷ 0.75 = 60

Students who instead calculate 45 × 1.25 = 56.25 get it wrong — that formula only works for reversing an increase, not a discount.

Common mistakes & how to fix them

Why do students struggle with decimals and percentages in MYP maths?

Most struggles come from treating decimals and percentages as separate topics rather than one system of representing the same value. Students memorise a conversion rule without understanding why it works, so they can't adapt when a question phrases things unfamiliarly — like a reverse percentage or a compound change over two steps.

Three warning signs I see in tutoring sessions:

  1. Dividing by the wrong base number in percentage-change questions
  2. Forgetting to convert a percentage to a decimal before multiplying (using 25 instead of 0.25)
  3. Rounding too early in a multi-step calculation, which throws off the final answer

Fixing habit #3 alone often lifts a Criterion A response from the 3-4 band to the 5-6 band, because the IB rewards accurate, fully-worked methods.

What are the most common mistakes MYP students make with percentages?

The top three: dividing by the new value instead of the original in percentage-change questions, forgetting to convert a percentage into its decimal form before multiplying, and rounding intermediate steps too early. Each one is fixable with a checklist habit rather than more practice questions alone.

Quick tip: Before submitting any percentage answer, ask yourself — did I divide by the original value? Did I keep at least 4 decimal places until the final step? A ten-second check like this catches most careless errors examiners penalise under Criterion A's 'accurate' descriptor.

How can I get a level 7-8 in MYP maths percentage questions?

Top bands (7-8) in Criterion A require you to apply mathematical concepts and skills in both familiar AND unfamiliar situations with a considerable degree of accuracy. For percentages, that means handling multi-step or reverse problems correctly, showing full working, and justifying which method you chose — not just getting the right number.

MYP assessment criteria (per the MYP: From Principles into Practice guide) reward selecting an appropriate strategy, not just applying one. For a reverse-percentage question, that means explicitly stating why you divided by 0.75 rather than multiplying by 1.25 — showing the examiner you understood the direction of the change, not just recalled a formula.

Real-world application & exam skills

Why are decimals and percentages used so much in real-life MYP maths problems?

Because MYP assessment is built around real-life contexts — discounts, currency exchange, tax, interest, population growth — and percentages are the natural language for describing proportional change in all of them. Criterion D (Applying Mathematics in Real-Life Contexts) almost always involves at least one percentage calculation.

Typical MYP unit contexts include: sale discounts, simple/compound interest on savings, tax on income, and statistical change (e.g. population or exam-result trends). Practising percentages purely as abstract numbers won't prepare you for how they're actually assessed — you need to practise reading a word problem and identifying which quantity is the 'original' value.

How is simple interest different from compound interest?

Simple interest is calculated only on the original amount each year, so the interest earned stays the same every year. Compound interest is calculated on the original amount plus any interest already earned, so it grows faster over time. MYP 2-3 students meet both, usually through savings-account or loan-style word problems.

Worked example: Invest 200 at 5% for 2 years.

Simple: 200 × 0.05 = 10 per year → 20 total interest

Compound: Year 1: 200 × 1.05 = 210. Year 2: 210 × 1.05 = 220.50 → 20.50 total interest

The gap between the two grows every extra year — that's the concept examiners want you to explain, not just calculate.

Support, resources & progression (parent-focused)

How can I help my child with MYP decimals and percentages at home?

The most useful thing you can do is turn everyday moments into practice — a supermarket discount sign, a restaurant bill with a service charge, a bank statement — and ask your child to calculate the actual numbers. This builds the real-life fluency MYP Criterion D rewards, far more than repeating worksheet drills.

Three low-effort home habits:

  1. Ask them to work out a sale discount before you check out
  2. Have them calculate a tip or service charge on a restaurant bill
  3. Once a week, ask them to explain a method out loud — MYP marks communication (Criterion C) as heavily as accuracy

Does struggling with percentages in MYP affect a student's DP maths options later?

Yes, in a real way. Percentages and proportional reasoning underpin DP topics like compound growth, statistics and financial mathematics in both Applications and Interpretation (AI) and Analysis and Approaches (AA). A shaky foundation in MYP 1-3 tends to resurface as a struggle with exponential functions and financial maths in DP Year 1.

Students heading toward Maths AI in particular rely on solid percentage fluency, since AI's syllabus leans into financial and statistical applications. If your child is inconsistent with reverse-percentage or compound-interest problems now, it's worth addressing before MYP 4-5, not after.

What extra resources or tutoring help with MYP decimals and percentages?

Look for resources that mirror actual MYP command terms and criterion language — not generic percentage worksheets — since MYP assessment rewards justified method as much as the right answer. One-to-one tutoring is particularly effective here because reverse-percentage and multi-step problems need real-time correction of why a step is wrong, not just that it is.

On RevisionPrep's MYP Mathematics hub you'll find topic breakdowns organised by MYP phase and criterion, so you can target exactly where percentages sit in your child's current unit rather than working through unrelated content.

Percentage Change vs Reverse Percentage

FeaturePercentage ChangeReverse Percentage
GivenOriginal & new valueFinal value only
Find% increase/decreaseOriginal value
Method(change ÷ original) × 100Final ÷ (1 ± rate)
Common errorDividing by new valueMultiplying instead of dividing

Want your child's exact MYP unit and criterion covered, not just generic worksheets? Explore the full breakdown by phase on RevisionPrep's MYP Mathematics hub.

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