Welcome to Formidable Math Quests. Show your extraordinary math prowess and reap the reward by completing Formidable Quests. Each Quest poses extra challenging problems that have Olympiad-level difficulty.

Here are cool badges you can earn:

Solve 2 Quest problems correctly.

Solve 3 Quest problems correctly.

Solve ALL Quest problems correctly.

Good luck!

Quest Problem
Formidable Quest 11
1
2
3
4
Formidable Quest 10
1
2
3
4
Formidable Quest 9
1
2
3
4
Formidable Quest 8
1
2
3
4
Formidable Quest 7
1
2
3
4
Formidable Quest 6
1
2
3
4
Formidable Quest 5
1
2
3
4
Formidable Quest 4
1
2
3
4
Formidable Quest 3
1
2
3
4
Formidable Quest 2
1
2
3
4
Formidable Quest 1 (complete Lesson 1. Homework to unlock this Quest)
?
?
?
?
?
BasicAlphabetSwitch to desktop mode
$|$| $[\:,\:]$[ , ] $[\:,\:)$[ , ) $(\:,\:]$( , ] $(\:,\:)$( , ) $($( $)$) $\deg$° $+$+ $∙$∙ No Solutions
$\mathbb{R}$ℝ $\pi$π $\sigma$σ $\infty$∞ $\sqrt{x}$√x $\sqrt[n]{x}$n√x $x^n$xn $\frac{a}{b}$
a
b $-$− $\div$÷ Answer Undefined
$=$= $\le$≤ $\ne$≠ $\ge$≥ $\in$∈ $\cup$∪ $X_i$Xi $\varnothing$∅ x y All Real Numbers

$7$7 $8$8 $9$9
$4$4 $5$5 $6$6
$1$‍1 $2$2 $3$3

$\triangleleft$⊲ $\triangleright$⊳
C
$0$0 $.$.
I WILL REPORT PEOPLE THAT DON’T SHOW THEIR WORK

The average speed of a City bus is 60 km/h. It stops every 2 km for 2 minutes. Nick got onto the bus at the bus stop and it started to move immediately. After 10 minutes his brother Adam noticed that Nick dropped his key chain at the bus stop and left from the same bus stop in the same direction to catch up to Nick on his motorcycle at a rate of 120 km/h. How long did it take Adam to catch up to Nick?