MLA AGM Jeopardy!

Calculus

10

What is the point where the concavity of the curve switches called?

Point of inflexion

20

What is ∫sin(3x)dx?

-1/3cos(3x) + c

30

Solve lim_x-->∞(lnx/x²)

0

40

What is d/dx(x-xlnx)?

-lnx

50

Find and simplify d/dx(∫₅^4x√tdt)

8√x

Algebra

10

factorise x³-8

(x-2)(x²+2x+4)

20

If 3x−y=12, what is the value of 8^x/2^y

2¹²

30

In the xy-plane, the point (p,r) lies on the line with equation y=x+b, where b is a constant. The point with coordinates (2p,5r) lies on the line with equation y=2x+b. If p≠0, what is the value of r/p?

3/4

40

(8−i)/(3−2i)

If the expression above is rewritten in the form a+bi, where a and b are real numbers, what is the value of a? (Note: i=−1)

2

50

If x is a positive integer such that (x - 1)(x - 3)(x - 5)....(x - 93) < 0, how many values can x take?

23

Trigonometry

10

What are the 3 basic trigonometric ratios?

TOA, CAH, SOH

20

The three angles of a right triangle have measures g°, h°, and 90°. What is the value of sing^°−cosh^°?

0

30

Given sinA+sinB=sinC=1 and C=90°

Find A°

30°

40

sinθ+cosθ=5/4

Find the exact value of sin⁡2θ

9/16

50

Calculate the exact value of sin75°

(√ 6 + √ 2)/4

Riddles

10

In a 3x3 grid, fill in the numbers 1-9 such that all vertical, horizontal, and diagonal sums are 15.

8 1 6

3 5 7

4 9 2 

(or any rotation variation)

20

What comes next?
1, 11, 21, 1211, 111221, …

312211 (Each describes the last: “One 1” → 11; “Two 1s” → 21; “One 2, one 1” → 1211, etc.)

30

Using only the digits 1 2 3 4 5 6 7 8 9 in order and inserting any math symbols you like, can you make 100?

123 - 45 - 67 + 89 = 100

40

How many people do you need in a room for there to be a greater than 50% chance that two share a birthday?

23 people.

50

How many times do you need to fold a piece of paper in half to reach the moon?

45

General

10

Who were the Presidents of MLA from 2024 - 2025?

Celeste and Zi Jun

20

Who created e = mc²?

Albert Einstein

30

List out 15 digits of pi.

3.14159265358979

40

What is MLA's approach for talent development?

B.u&i.L.D (Broaden.Lead.Deepen)

50

Name 5 mathematicians and their top discoveries.

1. Euclid (Euclidean geometry)

2. Pythagoras (Pythagoras' Theorem)

3. Isaac Netwon (Calculus)

4. Carl Friedrich Gauss (Normal distribution)

5. Euler (Euler's formula)

(The rest is up to gamemasters' discretion)