Math Competition

Quick Calculations

100

12 × 8

96

200

15²

225

300

√144 + 6

18

400

2³ × 5²

200

500

(25 × 4) ÷ 2 + 10

60

Logic & Puzzles

100

Find the next number:
1, 4, 9, 16, 25, ?

36

200

Find the next term:
2, 6, 7, 21, 22, ?

66 

(×3, +1 pattern)

300

If 3 cats catch 3 mice in 3 minutes, how long for 100 cats to catch 100 mice?

3 minutes

400

You have 8 balls, one is heavier. Using a balance scale, what’s the minimum number of weighings needed to find it?

2

500

A sequence is defined by:
a₁ = 2, aₙ = 2aₙ₋₁ + 1
Find a₄

31

Algebra & Equations

100

Solve: 2x + 3 = 11

x = 4

200

Solve: x² − 5x + 6 = 0  

2, 3

300

Solve for x:
2x + 1 = 3x − 5

x = 6

400

If f(x) = x² − 2x + 1, find f(3)

4

500

Solve:

x-1/x-2 = 2

x = -5

Geometry

100

Triangle angles sum 

180°

200

Area of rectangle (5×4)

20

300

Circle with r=3 → area?

9π 

(pi)

400

Hypotenuse (3,4)

5

500

Volume of cube (side 3)

27

Trick Questions

100

Which is larger (e^π) or (π^e)?

e^π

200

Is the function f(x)=1/x continuous at x=0?

No

300

If x=0.999…, what is x exactly?

1

400

Evaluate:

lim sinx/x

x→0 

1

500

Does the series converge or diverge?

∞

∑1/n

n=1

Diverges (harmonic series)