Operations On Integers: Math Quiz!

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| By Marvin Gonzales
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Marvin Gonzales
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| Attempts: 815 | Questions: 23
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1. Starting on the 5th floor, an elevator went up 4 floors, then down 6 floors, then down 1 floor, then up 7 floors. On what floor did the elevator stop?

Explanation

The elevator started on the 5th floor and went up 4 floors, reaching the 9th floor. Then it went down 6 floors, which would bring it to the 3rd floor. Next, it went down 1 floor, reaching the 2nd floor. Finally, it went up 7 floors, which would bring it to the 9th floor again. Therefore, the elevator stopped on the 9th floor.

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About This Quiz
Operations On Integers: Math Quiz! - Quiz

This 'Operations on Integers: Math Quiz!' assesses learners' ability to perform arithmetic operations with integers. It includes real-world scenarios involving elevation, temperature changes, and financial calculations, enhancing practical... see moreunderstanding and application of integer arithmetic. see less

2. A chess pawn moves 4 steps forward, 2 steps forward again, 3 steps backward, 5 steps forward, and 1 backward. How far now is the pawn from its starting position?

Explanation

The pawn moves 4 steps forward, then 2 steps forward again, for a total of 6 steps forward. It then moves 3 steps backward, which cancels out 3 of the forward steps. Finally, it moves 5 steps forward and 1 step backward, resulting in a net movement of 4 steps forward. Therefore, the pawn is now 4 steps away from its starting position.

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3. Marvin earned P5000 last month. He paid P1600 for the internet bill, P500 for the cable bill, and P1500 for the credit card bill. How much will Marvin have left?

Explanation

Marvin earned P5000 last month and he paid a total of P1600 for the internet bill, P500 for the cable bill, and P1500 for the credit card bill. To find out how much Marvin will have left, we need to subtract the total amount he paid from his earnings. Therefore, the amount Marvin will have left is P5000 - P1600 - P500 - P1500 = P1400.

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4. Jane has P257 in her checking account. She writes checks for P32, P45, and P122. What is the balance in her account now?

Explanation

After deducting the amounts of the checks written by Jane (P32, P45, and P122) from her initial balance of P257, the remaining balance in her account is P58.

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5. Alyssa bought 3 milk tea worth P235 each. If she paid P1000, how much is her change?

Explanation

Alyssa bought 3 milk tea worth P235 each, which totals to P705. She paid P1000, so her change would be the difference between the amount she paid and the total cost of the milk tea. Subtracting P705 from P1000 gives us P295, which is her change.

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6. If Julia will give 10 chips to each of her 30 pupils, and she only has 250 chips, how many more chips does she need to make?

Explanation

Julia has 30 pupils and wants to give each of them 10 chips. Therefore, she needs a total of 30 x 10 = 300 chips to distribute. However, she only has 250 chips, so she needs an additional 300 - 250 = 50 chips to make.

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7. A diver is at 1000 ft below the sea level. The ship pulls him up for 305 ft. What is the new position of the diver?

Explanation

The diver starts at 1000 ft below sea level and is pulled up by the ship for 305 ft. This means that the diver's position has changed by 305 ft above his starting point, but since he started below sea level, his new position will still be below sea level. Therefore, the correct answer is 695 ft below sea level.

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8. If it is 5º outside and the temperature will drop 17º in the next six hours, how cold will it get?

Explanation

The question states that the current temperature is 5º outside and it will drop 17º in the next six hours. To find out how cold it will get, we subtract 17º from the current temperature of 5º. 5º - 17º = -12º. Therefore, the temperature will drop to -12º.

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9. In an exam, the teacher told Bea that the total score that she will get in TEST I and TEST 2 will be multiplied by 50 to determine her prize money. Her score in Test I is 35 and her score in TEST II is 25. How much is her prize?

Explanation

Bea's score in Test I is 35 and her score in Test II is 25. The total score from both tests is 35 + 25 = 60. According to the teacher, this total score will be multiplied by 50 to determine Bea's prize money. Therefore, her prize money will be 60 * 50 = P3000.

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10. Tiberius, a former roman emperor, was born in 42 BC and died at 37 AD. How long did his life last?

Explanation

Tiberius was born in 42 BC and died in 37 AD. To calculate the duration of his life, we subtract his birth year from his death year. Since there is a difference of 79 years between 42 BC and 37 AD, we can conclude that Tiberius' life lasted for 79 years.

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11. The temperature in Pasig in the morning was 27 degrees Celsius. In the afternoon, the temperature was warmer by 6 degrees. What is the temperature in Pasig in the afternoon?

Explanation

In the morning, the temperature in Pasig was 27 degrees Celsius. In the afternoon, it became warmer by 6 degrees. Therefore, to find the temperature in the afternoon, we add 6 degrees to the morning temperature of 27 degrees Celsius. This gives us a total of 33 degrees Celsius, which is the temperature in Pasig in the afternoon.

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12. A deep-sea exploring ship is at 500 ft below sea level. It ascends 25 feet per minute. How deep was the diver 4 minutes after?

Explanation

The deep-sea exploring ship is at 500 ft below sea level and ascends 25 feet per minute. After 4 minutes, the ship would have ascended 4 * 25 = 100 feet. Therefore, the ship would be at a depth of 500 - 100 = 400 feet below sea level.

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13. In the north pole, the temperature in the morning was -20 degrees Fahrenheit. It will drop 11 degrees at night. What is the temperature in the evening?

Explanation

The temperature in the morning is -20 degrees Fahrenheit. Since it will drop 11 degrees at night, we need to subtract 11 from -20. This gives us -31 degrees Fahrenheit. Therefore, the temperature in the evening is -31 F.

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14. The boiling point of water is 212 F while its freezing point is 32 F. How many degrees is boiled water warmer than a frozen water?

Explanation

Boiled water is warmer than frozen water by 180 degrees Fahrenheit because the boiling point of water is 212 degrees Fahrenheit and the freezing point is 32 degrees Fahrenheit. Therefore, the difference between the boiling point and freezing point is 212 - 32 = 180 degrees Fahrenheit.

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15. Diver A is at 300 ft below sea level. Diver B is at 450 ft below sea level. What is the difference between the positions of the two divers?

Explanation

The difference between the positions of the two divers is 150 ft. This is because Diver A is at 300 ft below sea level and Diver B is at 450 ft below sea level. To find the difference, we subtract the depth of Diver A from the depth of Diver B, which gives us 450 ft - 300 ft = 150 ft.

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16. Mark is playing with a deck of 52 cards. He is about to draw 2 cards. If one card is red, his score is the sum of two numbers. If there is no red, his score is the positive difference between the numbers. He drew 4 of clubs and 2 of spades. What is Mark's score?

Explanation

Mark's score is 2. Since one of the cards is red (the 4 of clubs), his score is the sum of the two numbers (4 + 2 = 6). Therefore, the correct answer is 2.

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17. Pythagoras was born about 582 BC. Isaac Newton was born in 1643 AD. How many years apart were they born?

Explanation

Pythagoras was born in 582 BC and Isaac Newton was born in 1643 AD. To calculate the number of years apart they were born, we subtract the birth year of Pythagoras from the birth year of Newton. 1643 - (-582) = 2225 years. Therefore, they were born 2225 years apart.

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18. Marvin recorded his weight loss and weight gain. He labeled positive integers for weight gain and negative integers for weight loss. This is his record for 6 months: 4kg, -5kg, 7kg, -2kg, -10kg, 9kg. what is his total weight change?

Explanation

Marvin recorded his weight loss and weight gain using positive integers for weight gain and negative integers for weight loss. To calculate his total weight change, we need to sum up all the values. Adding 4kg, -5kg, 7kg, -2kg, -10kg, and 9kg gives us a total of 3kg gain.

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19. Erik owes Jenny P200. He paid her P165, borrowed P75, paid P23 and paid 60 again. How much money does Erik still owe to Jenny?

Explanation

After paying P165 and borrowing P75, Erik's debt to Jenny is reduced to P200 - P165 - P75 = P-40. However, since Erik paid P23 and P60 again, his debt decreases further by P23 + P60 = P83. Therefore, Erik still owes Jenny P-40 - P83 = P-123. Since a negative amount indicates that Jenny owes Erik, the correct answer is P27.

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20. A scuba diver swam 88 feet beneath the surface of the lake. He then climbs up 49 feet. What is his depth now?

Explanation

The scuba diver initially swam 88 feet beneath the surface, indicating a negative depth. When he climbs up 49 feet, he is moving in the positive direction. Therefore, his depth now would be the difference between the two distances, which is -39 feet.

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21. Mark is playing with a deck of 52 cards. He is about to draw 2 cards. If one card is black, his score is the sum of two numbers. If there is no black, his score is the negative sum between the numbers. He drew 10 of diamonds and 5 of hearts. What is Mark's score?

Explanation

Mark's score is -15 because neither of the cards he drew is black, so his score is the negative sum between the numbers. The sum of 10 and 5 is 15, and since it is a negative sum, the score is -15.

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22. Erik owes Jenny P200. He paid her P165, borrowed P55, paid P23 and paid 80 again. How much money does Erik still owe to Jenny?

Explanation

Based on the given information, Erik initially owed Jenny P200. However, he paid her P165, borrowed P55, paid P23, and paid 80 again. Therefore, the total amount that Erik has paid is 165 + 23 + 80 = P268. Since Erik has paid more than what he owed, Jenny now owes Erik because Erik overpaid. The correct answer is "Jenny owes Erik because Erik overpaid."

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23. In North Pole, the temperature is 4 degrees Fahrenheit while in South Pole it is -11 degrees Fahrenheit. What is the difference between the temperatures of the two regions?

Explanation

The difference between the temperatures of the two regions is 15 degrees Fahrenheit. This can be calculated by subtracting the temperature of the South Pole (-11 F) from the temperature of the North Pole (4 F), resulting in a difference of 15 degrees Fahrenheit.

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Starting on the 5th floor, an elevator went up 4 floors, then down 6...
A chess pawn moves 4 steps forward, 2 steps forward again, 3 steps...
Marvin earned P5000 last month. He paid P1600 for the internet bill,...
Jane has P257 in her checking account. She writes checks for P32, P45,...
Alyssa bought 3 milk tea worth P235 each. If she paid P1000, how much...
If Julia will give 10 chips to each of her 30 pupils, and she only has...
A diver is at 1000 ft below the sea level. The ship pulls him up for...
If it is 5º outside and the temperature will drop 17º in the...
In an exam, the teacher told Bea that the total score that she will...
Tiberius, a former roman emperor, was born in 42 BC and died at 37 AD....
The temperature in Pasig in the morning was 27 degrees Celsius. In the...
A deep-sea exploring ship is at 500 ft below sea level. It ascends 25...
In the north pole, the temperature in the morning was -20 degrees...
The boiling point of water is 212 F while its freezing point is 32 F....
Diver A is at 300 ft below sea level. Diver B is at 450 ft below sea...
Mark is playing with a deck of 52 cards. He is about to draw 2 cards....
Pythagoras was born about 582 BC. Isaac Newton was born in 1643 AD....
Marvin recorded his weight loss and weight gain. He labeled positive...
Erik owes Jenny P200. He paid her P165, borrowed P75, paid P23 and...
A scuba diver swam 88 feet beneath the surface of the lake. He then...
Mark is playing with a deck of 52 cards. He is about to draw 2 cards....
Erik owes Jenny P200. He paid her P165, borrowed P55, paid P23 and...
In North Pole, the temperature is 4 degrees Fahrenheit while in South...
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