hitmix

Trivia n°4: Basic mathematics

Recommended Posts

Hello,

Here are the questions:

 

1.  An instrument store gives a 10% discount to all students off the original cost of an instrument. 
During a back to school sale an additional 15% is taken off the discounted price. 
Julie, a student at the local high school, purchases a flute for $306. 
How much did it originally cost?

2. If y(x-1)=z then x=......

3. Two angles of a triangle measure 15° and 85 °. What is the measure for the third angle?

4. Sarah is twice as old as her youngest brother. If the difference between their ages is 15 years. How old is her youngest brother?

5. The number of milliliters in 1 liter is.....

6. The cost to ride on a ferry is $5.00 per vehicle and driver with an additional cost of 50 cents per passenger. If the charge to get on the ferry is $6.50, how many people were in the vehicle?

7. If 3x + 5x = -8, then x + 1 =......

8. What are the solutions of this ecuation: x^2 + 2x = 24 ? (x^2 = x power 2 = x * x)

9. A die is rolled once. What is the probability of getting number 5? (in percent)

10. 210 is divisible by.....

 

The rules and rewards are the same as last time.

Deadline is Tuesday at 23:59 (UTC/GMT+3).

 

Good luck :D

Edited by hitmix

Share this post


Link to post
Share on other sites
IGN : Belacan
game : RR2
 

1. $400
2. x=[(z/y)+1]
3. 80°
4. 15 years old
5. 1000mL
6. 3 passenger + 1 driver = 4 people
7. 0
8. 4 and -6
9. 16.67% (50/3%)
10.1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Edited by GaneshAdhitya
Typo XD

Share this post


Link to post
Share on other sites
  1. 408€ original price. to do it is: 306*100 / (100°-25°)
  2. x = z/y + 1
  3. 80° because sum of internal angles of a triangle is 180°
  4. she is 30 years old and her brother is 15 years old.
  5. 1000 milliliters
  6. 3 passenger + the 1 driver of the 5.00$ = 4 people
  7. 0 because 8x = 8; x = -1 so -1 +1 = 0
  8. result: 2.8 because (x^2 +2x) / x = 24/x ;  x^2 +2 = 24x ; x^3 + 2 = 24 ; x^3 = 22; 3^√ 22 = 2.8
  9. result is: 16,6% because 1/6 where 6 are the faces.
  10. 210 is divisible by 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105 e 210

ign: oPelle 

game: rr2

Share this post


Link to post
Share on other sites

Game: Royal Revolt II

IGN: emgiee1

 

1.  An instrument store gives a 10% discount to all students off the original cost of an instrument. 
During a back to school sale an additional 15% is taken off the discounted price. 
Julie, a student at the local high school, purchases a flute for $306. 
How much did it originally cost?

 

$400

 

 

 

2. If y(x-1)=z then x=......

 

x = z/y + 1

 

 

 

3. Two angles of a triangle measure 15° and 85 °. What is the measure for the third angle?

 

80

 

 

 

4. Sarah is twice as old as her youngest brother. If the difference between their ages is 15 years. How old is her youngest brother?

 

15

 

 

 

5. The number of milliliters in 1 liter is.....

 

1000

 

 

 

6. The cost to ride on a ferry is $5.00 per vehicle and driver with an additional cost of 50 cents per passenger. If the charge to get on the ferry is $6.50, how many people were in the vehicle?

 

4   (3 passengers + 1 driver)

 

 

 

7. If 3x + 5x = -8, then x + 1 =......

 

0

 

 

 

8. What are the solutions of this ecuation: x^2 + 2x = 24 ? (x^2 = x power 2 = x * x)

 

x={-6,4}

 

 

 

9. A die is rolled once. What is the probability of getting number 5? (in percent)

16.67%

10. 210 is divisible by.....

 

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Edited by Mag

Share this post


Link to post
Share on other sites

Game: RR2

IGN: SorinM

 

1.  An instrument store gives a 10% discount to all students off the original cost of an instrument. 
During a back to school sale an additional 15% is taken off the discounted price. 
Julie, a student at the local high school, purchases a flute for $306. 
How much did it originally cost?

 

$400

 

 

 

2. If y(x-1)=z then x=......

 

x = z/y + 1

 

 

 

3. Two angles of a triangle measure 15° and 85 °. What is the measure for the third angle?

 

80

 

 

 

4. Sarah is twice as old as her youngest brother. If the difference between their ages is 15 years. How old is her youngest brother?

 

15

 

 

 

5. The number of milliliters in 1 liter is.....

 

1000

 

 

 

6. The cost to ride on a ferry is $5.00 per vehicle and driver with an additional cost of 50 cents per passenger. If the charge to get on the ferry is $6.50, how many people were in the vehicle?

 

4   (3 passengers + 1 driver)

 

 

 

7. If 3x + 5x = -8, then x + 1 =......

 

0

 

 

 

8. What are the solutions of this ecuation: x^2 + 2x = 24 ? (x^2 = x power 2 = x * x)

 

x={-6,4}

 

 

 

9. A die is rolled once. What is the probability of getting number 5? (in percent)

16.67%

10. 210 is divisible by.....

 

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Edited by SorinM

Share this post


Link to post
Share on other sites

Game: RR2

IGN: 5trip

 

1.  An instrument store gives a 10% discount to all students off the original cost of an instrument. 
During a back to school sale an additional 15% is taken off the discounted price. 
Julie, a student at the local high school, purchases a flute for $306. 
How much did it originally cost?

 

$400

 

 

 

2. If y(x-1)=z then x=......

 

x = z/y + 1

 

 

 

3. Two angles of a triangle measure 15° and 85 °. What is the measure for the third angle?

 

80

 

 

 

4. Sarah is twice as old as her youngest brother. If the difference between their ages is 15 years. How old is her youngest brother?

 

15

 

 

 

5. The number of milliliters in 1 liter is.....

 

1000

 

 

 

6. The cost to ride on a ferry is $5.00 per vehicle and driver with an additional cost of 50 cents per passenger. If the charge to get on the ferry is $6.50, how many people were in the vehicle?

 

4   (3 passengers + 1 driver)

 

 

 

7. If 3x + 5x = -8, then x + 1 =......

 

0

 

 

 

8. What are the solutions of this ecuation: x^2 + 2x = 24 ? (x^2 = x power 2 = x * x)

 

x={-6,4}

 

 

 

9. A die is rolled once. What is the probability of getting number 5? (in percent)

16.67%

10. 210 is divisible by.....

 

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Edited by 5trip

Share this post


Link to post
Share on other sites

Hello Hitmix, this are my answers:

1. $400

2. (y+z) / y

3. 80°

4. Sarah = 30   Brother: 15

5. 1000

6. 4 (3passengers and the driver)

7. 0, because x= -1

8. x= 4

9. 16,6 %

10. 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

 

Game: Royal Revolt 2

 

IGN: CaféLatte

 

    

Share this post


Link to post
Share on other sites

1. $400

2. (y+z) / y

3. 80°

4. Sarah = 30   Brother: 15

5. 1000

6. 4 (3passengers and the driver)

7. 0, because x= -1

8. x= 4

9. 16,6 %

10. 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210  (16 times)

 

Ingame: Sweetsungirl

Game: Royal Revolt 2

Share this post


Link to post
Share on other sites

1- Julie got a 25% discount in total. Which means she only paid 3/4 of the original price, so we have the equation:
3x/4 = 306, where x is the original cost. We need to leave the x alone, so we do:
x = 306 * 4 / 3. And by solving that we get 408. That's what the flute originally costed.

2- Here we only have to leave the x alone just like the last time:
y(x-1) = z
x-1 = z/y
x = (z/y) + 1

3- The three angles in the inside of a triangle add up 180, so we form an equation, clear the x and solve:
15 + 85 + x = 180
x = 180 - 15 - 85
x = 80

4- Let x and y be as follows:
x: Sarah's age.
y: Her brother's age

The info we have lets us form two equations:
x = 2y (Because she's twice as old)
x = y+15 (Because the difference between them is 15)

Now we only need to form and equation with both x formulas and solve it:
2y = y + 15
2y - y = 15
y = 15. So her brother is 15 years old.

5- 1 liter = 1000 milliliters

6- The cost of $5 is for vehicle and driver. So an extra of $1.50 was charged. Taking in count that 50 cents are charged per person:
150 / 50 = 3. So three extra people were there. We don't have to forget the driver, so 4 people were in the vehicle.

7- The first equation lets us know the value of x:
3x + 5x = -8
8x = -8
x = -8 / 8
x = -1
So x + 1 is equal to 0.

8- We only have to clear it a bit and leave a zero alone:
x^2 + 2x = 24
x^2 + 2x - 24 = 0
Now we use factorization and get:
(x+6)(x-4) = 0
We form two equations (one for each factor) where we clear the x and get two solutions:
x+6 = 0. So x = -6 is a solution.
x-4 = 0. So x = 4 is another solution.
As the second equation we formed is equal to the first one, Both -6 and 4 are solutions of x^2 + 2x = 24.

9- There's a 1 out of 6 probability of getting a 5, that's aproximately 16.7%

10- By 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105 and 210 itself.

Share this post


Link to post
Share on other sites

Ingame name: lady.mandy

Name of game: royal revolt 2

1.    Originally cost $400

2.   X= (z/y)+1

3.     80°

4.      His age is 15 years old

5.      1000

6.      There are 4 people

7.       X+1= 0

8.       X'= 4 ; x"= (-6)

9.     16,6667%

10.    Divisible by 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210.

Share this post


Link to post
Share on other sites

Name: Mac0104

Game: Royal Revolt 2

1. 400$

2. x=z/y+1

3. 80•

4. 15 years old

5. 1000

6. 4 people(3+driver)

7. x+1=0

8. x= (-6, 4)

9. 16,6666666%

10. 1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Share this post


Link to post
Share on other sites

1- The problem states that the store already had a 10% off when they applied the 15% discount, that means that they took off 15% of 90%, and that's 13.5%. So we add up the discounts: 10 + 13.5 = 23.5% out in total. Julie paid 76.5% of the original prize so we solve:
x = 306 * 100 / 76.5,  and by solving that we get 400. That's what the flute originally costed.

2- Here we only have to leave the x alone just like the last time:
y(x-1) = z
x-1 = z/y
x = (z/y) + 1

3- The three angles in the inside of a triangle add up 180, so we form an equation, clear the x and solve:
15 + 85 + x = 180
x = 180 - 15 - 85
x = 80

4- Let x and y be as follows:
x: Sarah's age.
y: Her brother's age

The info we have lets us form two equations:
x = 2y (Because she's twice as old)
x = y+15 (Because the difference between them is 15)

Now we only need to form and equation with both x formulas and solve it:
2y = y + 15
2y - y = 15
y = 15. So her brother is 15 years old.

5- 1 liter = 1000 milliliters

6- The cost of $5 is for vehicle and driver. So an extra of $1.50 was charged. Taking in count that 50 cents are charged per person:
150 / 50 = 3. So three extra people were there. We don't have to forget the driver, so 4 people were in the vehicle.

7- The first equation lets us know the value of x:
3x + 5x = -8
8x = -8
x = -8 / 8
x = -1
So x + 1 is equal to 0.

8- We only have to clear it a bit and leave a zero alone:
x^2 + 2x = 24
x^2 + 2x - 24 = 0
Now we use factorization and get:
(x+6)(x-4) = 0
We form two equations (one for each factor) where we clear the x and get two solutions:
x+6 = 0. So x = -6 is a solution.
x-4 = 0. So x = 4 is another solution.
As the second equation we formed is equal to the first one, Both -6 and 4 are solutions of x^2 + 2x = 24.

9- There's a 1 out of 6 probability of getting a 5, that's aproximately 16.7%

10- By 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105 and 210 itself.

 

IGN: Krman

Game: RR2

Edited by Karman

Share this post


Link to post
Share on other sites
11 hours ago, hitmix said:

Hello,

Here are the questions:

 

1.  An instrument store gives a 10% discount to all students off the original cost of an instrument. 
During a back to school sale an additional 15% is taken off the discounted price. 
Julie, a student at the local high school, purchases a flute for $306. 
How much did it originally cost?

2. If y(x-1)=z then x=......

3. Two angles of a triangle measure 15° and 85 °. What is the measure for the third angle?

4. Sarah is twice as old as her youngest brother. If the difference between their ages is 15 years. How old is her youngest brother?

5. The number of milliliters in 1 liter is.....

6. The cost to ride on a ferry is $5.00 per vehicle and driver with an additional cost of 50 cents per passenger. If the charge to get on the ferry is $6.50, how many people were in the vehicle?

7. If 3x + 5x = -8, then x + 1 =......

8. What are the solutions of this ecuation: x^2 + 2x = 24 ? (x^2 = x power 2 = x * x)

9. A die is rolled once. What is the probability of getting number 5? (in percent)

10. 210 is divisible by.....

 

The rules and rewards are the same as last time.

Deadline is Tuesday at 23:59 (UTC/GMT+3).

 

Good luck :D

1. 400

2. x = z/y + 1

3. 80°

4. 15

5. 1000

6. 4

7. 0

8. 4 (and - or) -6

9. 16,666666%

10. 1, 2, 3, 5, 6, 7, 10, 14,, 15, 21, 30, 35, 42, 70, 105, 210

 

Ingame name: Hercules1301

Royal Revolt 2

Edited by Hercules1301
I forgot to write the ingame name and game name.

Share this post


Link to post
Share on other sites

1. 400 dollar

2. (z/y)-1

3. 80 degree

4. 30

5. 1000

6. 3

7. 0

8. 24,22

9. 16.67

10.1,2,3,5,7,10,21,30,42,70,105,210.

IGN: Shrawan1

game: Royal revolt 2.

 

 

 

 

Edited by shrawan
left the game name..

Share this post


Link to post
Share on other sites

1) 400
2) x=z/y-1
3) 80°
4) 15
5) 1000
6) 4
7) 0
8) x= -6, 4
9) 16,666%
10) 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42 70, 105, 210.               

IGN. kekka1

        RR2

Share this post


Link to post
Share on other sites
Guest
This topic is now closed to further replies.