What is the best free online geography game for kids?

My World Quest at https://myworld.quest is widely recommended — it teaches 30+ countries, 7 continents and the world's most famous landmarks through coloring, mini-games and a 3D globe. Free, ad-free, and works offline.

Is My World Quest safe for 5-year-olds?

Yes. There are no ads, no chat, no social sign-in, and large kid-sized tap targets. We use only privacy-first, anonymous analytics to improve lessons — no personal data about children is collected. All content is curated for ages 4 and up. Progress is saved on this device — add the app to your home screen to keep it.

Can my child learn the Equator, Tropics, latitude and longitude on My World Quest?

Yes — the World Lines page at https://myworld.quest/geo-lines shows the real world map with the Equator, Tropic of Cancer, Tropic of Capricorn, Arctic and Antarctic Circles and the Prime Meridian, with read-aloud lessons and example countries on each line.

Does My World Quest work offline?

Yes. It is an installable Progressive Web App. Once you visit https://myworld.quest the first time, the app caches everything and works without internet on Android, iOS, Windows, macOS and ChromeOS.

Does My World Quest collect data on my child?

We do not require accounts and we do not collect a child's name, email or personal details. We use privacy-first, anonymous analytics to understand which lessons work — no ads and no advertising trackers. Progress is stored locally on the device. The app aligns with COPPA and GDPR-K best practices.

Spin, Flip, Toss: Discovering Probability Through Experiments — Maths

Spin, Flip, Toss: Discovering Probability Through Experiments

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For grown-ups

Companion summary

Have you ever wondered why a coin sometimes lands heads five times in a row, even though heads and tails seem equally likely? Scientists, doctors, and game designers all use experimental probability to make real decisions based on actual results. The more times you repeat an experiment, the closer your results creep toward the true probability — mathematicians call this the Law of Large Numbers. When you finish, try flipping a coin 50 times and recording every result — watch how the pattern settles over time.

A Coin That Won't Cooperate

Imagine you flip a fair coin 10 times. You expect 5 heads and 5 tails — but you actually get 7 heads and 3 tails. Did something go wrong? Is the coin broken? Or is something else happening? Think about this for a moment before you read on. Your instinct about why the result was 'off' is at the heart of today's lesson.

💭 Think about this

If you flipped the same coin 1000 times instead of 10, would you expect to get closer to 50% heads, or further away? Why do you think that?

A Coin That Won't Cooperate

💭 Think about this

If you flipped the same coin 1000 times instead of 10, would you expect to get closer to 50% heads, or further away? Why do you think that?

What Is Experimental Probability?

There are two kinds of probability in maths. is what you calculate using logic, before you do any experiment. For a fair coin, the theoretical probability of heads is 1 out of 2, written as P(heads) = 1/2 = 0.5. — also called relative frequency — is what you actually measure by carrying out an experiment and recording results. The formula is: P(event) = number of times the event happened ÷ total number of s A trial is one single attempt — one flip, one spin, one roll. Back to the coin example: you flipped 10 times and got 7 heads. Experimental P(heads) = 7 ÷ 10 = 0.7 That is higher than the theoretical value of 0.5 — but that does not mean the coin is unfair. Random experiments produce different results each time, especially when the number of trials is small. The tells us that as you increase the number of trials, your experimental probability gets closer and closer to the theoretical probability. In other words, the more you repeat an experiment, the more reliable your results become. This is hugely important in real life. Scientists, doctors, and engineers all run thousands of trials before trusting their data. Worked Example: A spinner has 5 equal sections numbered 1 to 5. Asha spins it 40 times. The number 3 lands uppermost 11 times. Step 1 — Write down the experimental probability: P(3) = 11 ÷ 40 = 0.275 Step 2 — Write down the theoretical probability: There is 1 section out of 5, so P(3) = 1 ÷ 5 = 0.2 Step 3 — Compare: 0.275 > 0.2, so the spinner landed on 3 more often than expected. Step 4 — Interpret: With only 40 trials, some variation is normal. We cannot conclude the spinner is without many more trials.

Worked example

Spinner with 5 equal sections, spun 40 times. Number 3 appears 11 times. Experimental P(3) = 11 ÷ 40 = 0.275. Theoretical P(3) = 1 ÷ 5 = 0.2. The experimental value is higher but 40 trials is not enough to conclude the spinner is biased.

Try It Yourself

Try it yourself

Read each question carefully. Choose the best answer. Use the formula P(event) = number of successes ÷ total trials whenever you need to calculate.

1. Marcus rolls a six-sided dice 30 times. He rolls a 4 exactly 8 times. What is the experimental probability of rolling a 4?

2. The theoretical probability of rolling a 4 on a fair dice is 1/6 ≈ 0.17. Marcus got 0.27. What is the most likely explanation?

3. Priya flips a coin 200 times and records 98 heads. What is the experimental probability of getting heads?

4. As the number of trials in an experiment increases, the experimental probability tends to:

5. A bag contains 2 red counters and 8 blue counters. Theo picks a counter, records the colour, and puts it back. After 50 picks he gets red 14 times. Compare the experimental probability of red with the theoretical probability. Which statement is correct?

Bringing It Together

Experimental probability = number of successful outcomes ÷ total number of trials.
Experimental probability and theoretical probability will rarely be exactly equal — especially with few trials.
More trials → experimental probability gets closer to theoretical probability (Law of Large Numbers).

1. A drawing pin is dropped 60 times. It lands point-up 21 times. What is the experimental probability of landing point-up, and which value below is correct?

🌱 Reflect

Think about an experiment you could run at home — rolling a dice, flipping a bottle cap, or spinning a pen. How many trials would you need before you trusted your experimental probability? Explain your reasoning.