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irori — Learning Worlds · DLP Edition

From a Cent, to a Million

Practice Set — Medium & Hard, 3:1

Twelve KSSM Form 3 investment-maths questions, entirely in English for DLP students — same chapter, same formulas, pushed up to medium and hard difficulty. It opens with a real 10-year Nvidia share story and a dream beach house, then keeps going.

📐 KSSM Form 3 · Bab 3 (Consumer Maths) 🇬🇧 Fully English — DLP 💾 Saves automatically
iroriBefore You Start

Same Chapter, Harder Questions

This set covers the same KSSM Form 3 chapter as before — Consumer Mathematics: Savings and Investment — but every question here sits at Medium or Hard difficulty, in a 3:1 ratio (9 Medium, 3 Hard across 12 questions). Nothing new to learn — the formulas are the same three you already know. What's different is the number of steps, the unit conversions, and a few places where you'll need to rearrange the formula instead of just plugging numbers in.

Medium — 9 questions Hard — 3 questions

Simple Interest

I = P × r × t
Interest = Principal × rate × time

Compound Interest (Maturity Value)

MV = P(1 + r/n)nt
n = compounding periods per year

Return on Investment

ROI% = (Return − P) / P × 100
P = original investment

Every question is built around a small story rather than a bare number set — partly because it's more fun, and partly because it's how these questions actually show up in real KSSM papers. Question 1 uses real, rounded NVIDIA share prices spanning the last 10 years; everything else is a realistic but invented scenario.

One honest note on Question 1: the NVIDIA prices used are real, split-adjusted historical figures, rounded for clean arithmetic and current as of around June 2026. Share prices move daily — if you're using this much later, the "today" price will have changed. This is a maths exercise built on real data, not investment advice or a prediction.
For the Tutor/Parent Reading This"Desirable difficulties" research (Bjork & Bjork, 2011) found that practice which feels harder in the moment — more steps, less hand-holding — produces more durable learning than easy repetition, even though it's less comfortable while doing it. Mixing question types rather than blocking them by topic (interleaved practice — Rohrer & Taylor, 2007) adds a further, well-documented retention boost, particularly in mathematics.
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iroriSection A · Real-World ROI
Section A · Return on Investment

Real-World ROI Challenges

Question 1 — The Ten-Year BetHard

Your uncle Marcus is a software engineer who has always been a little obsessed with computer chips. Back in 2016, on a whim, he bought exactly 1 share of NVIDIA (NVDA) stock — long before "AI" was a word anyone used at dinner. Back then, the split-adjusted price was around $14. Ten years later — today, in 2026 — that same single share (after accounting for two stock splits along the way) is worth around $200.

(a) Calculate the percentage Return on Investment (ROI%) on Uncle Marcus's $14 bet.
(b) Suppose Uncle Marcus had instead put that same $14 into a savings account earning 3% compound interest per year, compounded annually, for the same 10 years. Calculate what that $14 would have grown to instead.
(c) In 1-2 sentences, compare the two outcomes — what does this tell you about the relationship between risk and potential return?

Hint: for (a), use the ROI% formula directly. For (b), use the compound interest formula with P=$14, r=0.03, n=1, t=10.

Question 2 — The Dream Beach HouseMedium

Your family has always dreamed of owning a holiday home on the beach in Langkawi. Suppose you actually buy one for RM450,000. For 4 years, you rent it out to holidaymakers and earn RM2,500 a month in rental income. At the end of the 4 years, you sell the house for RM520,000.

Calculate the total ROI% on this house, including both the rental income and the capital gain from the sale.

The Research Behind ThisEmbedding a calculation inside a vivid, story-shaped scenario — rather than a bare set of numbers — follows what's known as anchored instruction (Cognition and Technology Group at Vanderbilt, 1990): problems anchored in a concrete, memorable situation are easier to engage with and easier to recall the method for later, compared to the same arithmetic presented abstractly.
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iroriSection A · Real-World ROI (cont.)
Question 3 — Maya's Birthday MoneyMedium

Your best friend Maya invests her birthday money — RM4,000 — into 800 units of a tech company's shares at RM5 per unit. Over the next 18 months, she receives two dividend payments of 15 sen per unit each. She then sells every unit at RM7.50 per unit.

Calculate Maya's total ROI%.

Question 4 — Iskandar's Steady HabitMedium

Instead of investing everything at once like his sister Maya, Iskandar invests RM500 every month into a unit trust for 6 months, at these unit prices: RM2.00, RM2.20, RM1.80, RM2.10, RM1.90, RM2.40.

(a) Calculate Iskandar's average cost per unit using the ringgit cost-averaging strategy (i.e. total amount invested ÷ total units bought).
(b) In 1-2 sentences, explain why investing the same amount every month — instead of trying to guess the "best" time — can work out well even when prices go up and down.

Quick comparison: looking back at Questions 1–4, which had the highest ROI%? Which felt the safest? Which would you actually choose with real money, and why?

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iroriSection B · Compound Interest
Section B · Compound Interest

Compound Interest, Stretched a Little Further

Question 5 — University FundMedium

Aliyah's parents open a fixed deposit account for her university fund: RM15,000 at 3.5% per year, compounded quarterly, for 4 years. Calculate the maturity value.

Question 6 — Same Deal, Compounded DifferentlyMedium

Suppose the same bank offered the same RM15,000 and the same 3.5% rate, but compounded monthly instead of quarterly. How much more would Aliyah's fund be worth after the same 4 years?

Question 7 — Compound vs Simple, Head to HeadMedium

Calculate how much simple interest the same RM15,000 at 3.5% for 4 years would earn instead. How much extra did compounding actually earn Aliyah, in RM and as a percentage of the simple-interest amount?

Question 8 — Working Backward for a CarHard

Aliyah's older brother Hafiz wants to have exactly RM20,000 in his account in 5 years to buy a car. His bank offers 4% per year, compounded yearly. How much does he need to deposit today (the principal) to hit that target?

Hint: rearrange MV = P(1 + r/n)nt to solve for P.

The Research Behind This"Exponential Growth Bias" research (Stango & Zinman, 2009) found that people — including adults — systematically underestimate how fast compound interest grows. Question 6 in particular is built to make that bias visible: the gap from changing only the compounding frequency is usually bigger than students expect.
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iroriSection C · Simple Interest
Section C · Simple Interest

Simple Interest, Stretched a Little Further

Question 9 — Months, Not Just YearsMedium

Danial keeps RM6,000 in a basic savings account at 2.8% simple interest per year. Calculate the interest earned after 3 years and 6 months.

Question 10 — Two Banks, One DecisionMedium

Bank Cahaya offers 3% simple interest per year. Bank Mentari offers 2.5% simple interest per year but gives a one-time RM150 sign-up bonus. If Danial deposits RM5,000 for 2 years, which bank gives him more money in total? Show your working for both.

Question 11 — Paying Back a FriendMedium

Yasmin borrowed RM3,500 from a friend and agreed to repay it with 4% simple interest per year. If she repays everything after 9 months, how much does she owe in total?

Question 12 — Finding the Hidden RateHard

Iman invested RM8,000 and, after 5 years, had earned exactly RM1,800 in simple interest. What annual interest rate did her investment earn?

Hint: rearrange I = P × r × t to solve for r.

The Research Behind ThisQuestions 10 and 12 deliberately ask for a decision or an unknown variable rather than a direct answer — this kind of "inverse problem" forces a learner to understand what each part of the formula actually represents, rather than pattern-matching numbers into a memorised slot. That distinction is a well-established marker of moving from procedural to conceptual understanding in mathematics education research.
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