Logic (14 Aug)

Cylinders

100

The volume of a right circular cylinder with a radius of 2 ft and a height of 20 ft

What is 80π or 251.2 ft³?

200

The surface area of that same cylinder

What is 84π or 263.76 ft²?

300

The volume of a water storage tank with a diameter of 6 m diameter and a height of 6 m

What is 54π or 169.56 m³?

400

The surface area of that water storage tank

What is 54π or 169.56 m²?

500

The volume of a cylinder with a radius of 50 m and a height of 5 cm, in cubic cm

What is 125000000π or 392500000 cm³?

Adding Signed Numbers

100

-2+3-5+7

What is 3?

200

-3-2-6+2-7

What is -16?

300

-3-2+3-4+5

What is -1?

400

-4+6-1+7-3+2

What is 7?

500

-2-4-3+2+2+3+2+4

What is 2?

Ratios

100

(3 1/2)/(1 2/5)=10/m

What is 4?

200

If 2 1/2 eggs make 140 cookies, the number of eggs Zoe needs to make 1680 cookies

What is 30 eggs?

300

If it takes 4 kg of cocoa for Willie Wonka to make 13 batches of chocolate bars, the amount of cocoa he needs to make 143 batches

What is 44 kg?

400

If 3 tons of fertilizer covers 170 acres, the amount Famer Maggot needs to cover 1870 acres

What is 33 tons?

500

If Dihann can do 3 warplane illustrations every 13 minutes, the amount of time it would take him to do 24 illustrations

What is 104 minutes or 1 hour and 40 minutes?

Multiplication with Scientific Notation

100

(4 x 10⁵) x (2 x 10^-2)

What is 8 x 10³?

200

(3 x 10⁸) x (3 x 10³)

What is 9 x 10¹¹?

300

(4 x 10^-6) x (6.2 x 10⁴)

What is 2.48 x 10^-1?

400

(2.1 x 10¹⁰) x (2 x 10³)

What is 4.2 x 10¹³?

500

(4 x 10^-5) x (3 x 10^-8)

What is 1.2 x 10^-12?

Miscellany

100

7x+5=54

What is x = 7?

200

root(r)(s) + s^t

if r = 2, s = 9, and t = 2

What is 84?

300

48 is 20% of this number

What is 240?

400

1/3+5/6(3 3/4-1/4)

What is

13/4?

500

If Smaug traveled 54 leagues in 3 days then tripled his rate, the time it would take him to travel the next 486 leagues

What is 9 days?