You think you're good at math. Most people do. Most people are about to find out they're good at easy math.

This quiz runs 10 questions from dead simple to legitimately tricky — covering BODMAS, fractions, and some classic trick questions that have been catching people out for years. The early questions will feel like a warm-up. The later ones will make you question everything you learned in school.

The goal isn't to embarrass you. Okay — it's a little bit to embarrass you. But mostly it's to show you exactly where your mental math breaks down, and why. Stick around for the science section after, and you'll understand your own brain a lot better by the end.

Ready? Let's go.

The Rules — How to Play

Ten questions. All text-based — no multiple choice, no safety net. Work out the answer yourself before reading the explanation.

Write your answer before scrolling. The answer and explanation follow each question immediately below it, so discipline is entirely on you.

Give yourself 45 seconds per question for the first five. The last five get 90 seconds each — you'll want the time. No calculator. If you reach for one on the first five questions, that's already telling you something.

The Quiz

Question 1

What is 9 + 6 ÷ 3?

BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) requires division before addition. So: 6 ÷ 3 = 2, then 9 + 2 = 11. If you got 5, you added first and then divided — that's the most common wrong answer, and it's the first thing this quiz is checking.

Answer: 11

Question 2

A bat and a ball together cost $1.10. The bat costs $1 more than the ball. How much does the ball cost?

Almost everyone instinctively says 10 cents — but if the ball costs 10 cents, the bat costs $1.10, and together that's $1.20. For the total to be $1.10 with the bat costing exactly $1 more, the ball must be 5 cents and the bat $1.05. This is one of the most-failed questions in cognitive psychology research. If you got 10 cents, you're in very good company.

Answer: $0.05 (5 cents)

Question 3

What is ½ of ¾?

Multiply straight across: 1 × 3 = 3 (numerator), 2 × 4 = 8 (denominator). Result: 3/8. People who haven't worked with fractions in a while often try to add the numerators or denominators separately — which gives a nonsense answer. Multiplying fractions means multiplying both parts. That's it.

Answer: 3/8

Question 4

What is 2 + 2 × 2?

Again, BODMAS: multiplication before addition. 2 × 2 = 4, then 4 + 2 = 6. Not 8. If you added first, you treated the expression as (2 + 2) × 2 — which would require brackets to be legitimate. Without brackets, multiplication wins every time.

Answer: 6

Question 5

If you have 3 apples and you take away 2, how many apples do you have?

You have the 2 you took. The question asks how many you have — not how many are left in the pile. The phrasing is the entire puzzle. Your brain automatically frames "how many do you have" as asking about the remaining pile, not about the ones you physically picked up. Read it again. You took 2. You have 2.

Answer: 2

Question 6

What is 100 ÷ 4 × 5?

Left to right when division and multiplication appear at the same level of BODMAS. So: 100 ÷ 4 = 25, then 25 × 5 = 125. If you did 4 × 5 first to get 20 and then divided 100 by 20 to get 5, you broke the left-to-right rule. Operators of equal precedence are always solved left to right.

Answer: 125

Question 7

A snail climbs 3 metres up a wall during the day and slides back 2 metres at night. The wall is 10 metres tall. How many days does it take the snail to reach the top?

During the day, the snail gains a net 1 metre per full day/night cycle — but on the final day, it doesn't slide back. By the end of Day 7's daytime, the snail is at 7 metres (having netted 1 metre per day for 7 days). On Day 8, it climbs 3 metres to reach 10 metres — and it's done. It never slides back on the day it reaches the top. Most people answer 10 days by applying the net-1-metre logic all the way through without accounting for the final climb.

Answer: 8 days

Question 8

What is 0.1 + 0.2?

In everyday math: 0.3. In binary floating-point arithmetic — the system computers use — 0.1 and 0.2 can't be represented exactly, and the sum produces a tiny rounding error. If you've ever seen that bizarre result in a spreadsheet or coding environment and wondered why, now you know. The mathematical answer is 0.3. The computational answer is a fun reminder that computers aren't perfect.

Answer: 0.3 (but computers say 0.30000000000000004)

Question 9

If 5 machines take 5 minutes to make 5 widgets, how long does it take 100 machines to make 100 widgets?

Each machine makes 1 widget in 5 minutes. 100 machines each making 1 widget = 100 widgets in 5 minutes. The number of machines scales with the number of widgets, so the time stays constant. Most people say 100 minutes because they scale the time proportionally — but that's only correct if you're keeping the number of machines fixed.

Answer: 5 minutes

Question 10

A farmer has 17 sheep. All but 9 die. How many sheep does he have left?

"All but 9" means all except 9. Nine sheep survive. This question fails almost everyone the first time because "all but" is a phrase the brain processes as "all — subtract a number," which makes "8" feel right. Read it again, slowly. All but 9 die. 9 survive.

Answer: 9

The Science Behind It

Why do smart people fail math quiz questions that look simple? The answer isn't that they're bad at math — it's that their brains are working exactly as designed, just in the wrong direction.

The biggest culprit is cognitive bias — specifically what psychologists call the "availability heuristic." When you see a math question, your brain reaches for the most familiar, recently used calculation method. BODMAS questions trip people up not because the rule is hard, but because left-to-right arithmetic feels more natural. The brain defaults to it automatically.

Functional fixedness hits hardest on the trick questions — the apple question, the sheep question. Your brain locks onto one interpretation of the words and refuses to consider alternatives. "How many do you have" means "what's left in the pile" to most brains, because that's the context where you've always heard that question. Releasing that fixed frame takes conscious effort.

Working memory is taxed heavily on the multi-step problems like the snail and the widgets. You're tracking conditions (slides back at night, machines scale with widgets) while simultaneously running calculations. When working memory gets full, the brain starts dropping conditions — and that's when the wrong answer feels completely right.

Pattern recognition is both the hero and the villain here. It's why you could solve Questions 1 and 2 quickly if you'd seen them before — your brain recognized the type. But it's also why Question 9 feels like it should scale linearly. You've seen "more things = more time" patterns so often that the brain applies it even when the logic says otherwise.

And lateral thinking — considering an unconventional angle on the problem — is what the trick questions actually demand. They're not testing arithmetic. They're testing whether you can pause your automatic interpretation and ask "wait, am I reading this right?"

Ready for Another One?

Ten questions, and somewhere in there your brain hit a wall. The good news: every question you got wrong just made your brain slightly better at catching the same trick next time. Math quizzes like this are genuinely one of the sharpest tools for keeping your reasoning honest. More rounds are coming — and they only get more devious from here.

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