Mathematics questions

If anyone hasn’t noticed, there’s a deluge of quizzes of Facebook these few weeks. I decided to add to the mess with something comparatively nasty.


1. Which of the following fields contain the square root of 2 = 1.414... ?

• complex numbers
  
• rational numbers
  
• natural numbers
  

2. How many dots are required to represent the ternary (base-3) number 12 ?

• * * * * * *
  
• * * * * * * * * * * * *
  
• * * * * *
  

3. The topology of the sun's surface is the same as that of a

• doughnut
  
• dice
  
• hollow sphere
  

4. Which of the following is the multiplicative identity?

• 1
  
• 2.718...
  
• 0
  

5. A graph which is continuous everywhere and NOT differentiable anywhere is a

• polynomial
  
• fractal
  
• Calabi-Yau manifold
  

6. Two points along a circle's circumference are labelled A and B respectively. The shortest length between these points along the circumference is 34 cm. The circle's radius is 55 cm. What is the ratio of the circle's circumference to the circle's diameter?

• 0.618...
  
• 1.617...
  
• 3.141...
  

7. The second time derivative of an object's position

• is dependent on it's speed
  
• is proportional to the net force exerted on the object
  
• is its velocity
  

8. There is an unlimited supply of whole numbers. There is also an unlimited supply of rational numbers. Are there more rational numbers than whole numbers?

• No, there are more whole numbers than rational numbers
  
• No, the number of whole and rational numbers is exactly the same
  
• Yes, there are more rational numbers than whole numbers
  

Answers below: (click and highlight to view)

1. Which of the following fields contain the square root of 2 = 1.414... ?
complex numbers


2. How many dots are required to represent the ternary (base-3) number 12 ?
* * * * *

3. The topology of the sun's surface is the same as that of a
dice

4. Which of the following is the multiplicative identity?
1

5. A graph which is continuous everywhere and NOT differentiable anywhere is a
fractal


6. Two points along a circle's circumference are labelled A and B respectively. The shortest length between these points along the circumference is 34 cm. The circle's radius is 55 cm. What is the ratio of the circle's circumference to the circle's diameter?
3.141...

7. The second time derivative of an object's position
is proportional to the net force exerted on the object


8. There is an unlimited supply of whole numbers. There is also an unlimited supply of rational numbers. Are there more rational numbers than whole numbers?
No, the number of whole and rational numbers is exactly the same