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MATH PROBLEMS AND BASIC OPERATIONS
62問 • 11ヶ月前
  • Jamaica Rose Gilo
  • 通報

    問題一覧

  • 1

    The sum of the ages A, B and C is 45. A and B are twins. C is younger than B. What is the ages of A?

    17

  • 2

    What is 100÷half-50?

    150

  • 3

    What is 50% of 50% of 550?

    137.5

  • 4

    Two times a number is equal to five times a number minus 6. What is the number?

    2

  • 5

    Find the sum of ⅒, ²/100, ³/1000 in decimal form.

    0.123

  • 6

    Solve: 1,4,9,16,25,36,49,64,?

    81

  • 7

    A5, D25, G125, J625, M3125,?

    P15625

  • 8

    Solve:2187, 729,243,81,27,9,?

    3

  • 9

    Solve: 13,-21, 34,-55, 89,?

    -144

  • 10

    Solve AZ, CX, EV, GT,?

    IR KP

  • 11

    Solve: (-9) (-22)

    198

  • 12

    107-(-17)

    124

  • 13

    What is the GREATEST COMMON FACTOR of 36 and 54?

    18

  • 14

    3/9 × 2/3 = ?

    2/9

  • 15

    (21) (-4) +(8) (-2) =?

    -100

  • 16

    What is the LCD of 1/8, 3/4 and 1/16?

    16

  • 17

    Convert 3.14% as a fraction.

    3.4/100

  • 18

    What is the ratio of 1/2 to 2/5?

    5:4

  • 19

    What is 1/4 in decimal?

    .25

  • 20

    Find the value of x in the equation 5x+25=10

    -3

  • 21

    3/4 ÷1/8=?

    6

  • 22

    The sum of 2 intergers is 63. If one of the integers is three more than twice the other, what are the two integers?

    43 and 20

  • 23

    If x=8, find the value of y in the equation:4x-2y=28

    2

  • 24

    2.12 is multiplied by 10 to the 6th power is?

    2,120,000

  • 25

    25 is multiplied by 10 to the 5th power is)?

    2,500,000

  • 26

    Find the value of x if y=8 in the equation 2x+4y=50

    9

  • 27

    What is the decimal form of 3/4?

    0.75

  • 28

    Mr. Gil Bates owns 3/8 of Macrohard. After selling 1/3 of his share, how much of Macrohard does Mr. Bates still own?

    1/4

  • 29

    Cathy scored 85,87,90,95 and 100 in her Math exams. What will be her average grade in math?

    91.4

  • 30

    Miles left home and drove at a rare of 50 miles per hr for 2 hrs. She stopped for lunch then drove for another 4 hrs at 65mph to reach Los Angeles. How many miles did Miles drive to reach LA?

    360 miles

  • 31

    6/8 + 2½+⁴/12 is also the same as..?

    ¾ + 5/2 + 1/3

  • 32

    There are 36 reams of mimeographing paper in the drawer. If 1 ¼ dozens of reams of paper were to be used in printing, how many reams should be left in the drawer?

    21

  • 33

    A square and a rectangle have equal areas. If the rectangle is 36 by 16,what is the side of a square?

    24

  • 34

    Two numbers are in the ratio of 3 to 5. The lesser number is 42. Find the greater number.

    70

  • 35

    The total area of a cube is the sum of its lateral area and the area of its basis. If the edge of a cube is 4,find it's total area.

    96

  • 36

    If a can of paint will cover approximately 60 square yards, what length of the wall can be painted if the wall is 8 feet high?

    67.5 ft

  • 37

    A board 18 feet long is cutted into 2 pieces. Two feet less than the product of five and the length of the shorter piece is equal to the difference between three times the length of the longer piece and eight. What is the length of the shorter piece?

    6

  • 38

    James that is 5 times older than James and James is twice as old as his sister Sara. In two years, the sum of their ages will be 58. How old is James now?

    8 yrs old

  • 39

    A house and lot are sol for 14M. The house costs 1.5 times as much as the lot. How much does the lot costs?

    5.6

  • 40

    The difference between 8 times a number and 17 is 231. Find the number.

    31

  • 41

    How many 1 cm square stickers are needed to cover a photo box 4 cm long, 3 cm wide and 5 cm high?

    94

  • 42

    A video caste movie, purchased for 440 was marked up 25% on the selling price. Later, as retail prices fell, this movie was marked down 20% on the current sale price. Find it's new sale price.

    440

  • 43

    How many meters of fencing are needed to enclose a 84m by 48m rectangular garden?

    264m

  • 44

    A water container has 100ml of water in it and is 20% full. How many ml of water can this container hold if it is full?

    500ml

  • 45

    A 30cm long 0lastic pipe costs 249. At this rate, what is the price of the pipe per meter?

    830 pesos

  • 46

    Andrea uses ten 100-watt bulbs in her house. She uses these bulbs at an average of 5 hrs each day. How many KWH do these bulbs use each day?

    5 kwh

  • 47

    An electric uses 12,200 watts per hour and is run an average of 60 hrs a year. How many kilowatt per hour is this?

    732

  • 48

    Kathryn went to SM for a 3-day sale. She bought a new pair of shoes and paid only P2, 450 discounted for 20% off. What's the original price of the shoes?

    3,062.5

  • 49

    Last month a store manager decided to decrease the prices of all items by 10%. This month he increased th prices by 10%. What would be the prices for a pair of pants that had costs P750 before prices were decreased last month?

    742.5 pesos

  • 50

    Two armies are advancing towards each other, each one at 1mph. A messenger leaves the first army when the two armies are 10 miles apart and runs towards the second at 9mph. Upon reaching the second army, he immediately turns around and runs towards the first army at 9mph. How many miles apart are the two armies when the messenger gets back to the first army?

    6 miles

  • 51

    You play on a game show where a prize has been randomly putted into one of five boxes, labeled A, B, C, D and E, with each box equally likely to contain the prize. The boxes are closed when you first see them, and you guess that box A contains the prize. Two of the empty boxes from among the four other boxes are then opened. If these two boxes are C and E, what is the probability that box D contains the prize?

    2/5

  • 52

    How many positive integers less than or equal to 2013 are divisible by at least one of 3,11 and 61?

    813

  • 53

    You own 13 pairs of socks, all different, and all of the socks are individually jumbled in a drawer. One morning you rummage through the drawer and continue to pull out socks until you have a matching pair. How many socks must you pull out to guarantee having a matching pair?

    14

  • 54

    A jeweler has 20-gram ring that is 60% gold and 40% silver. He wants to melt it down and add enough gold to make it 80%. How many grams of gold should be added?

    20 grams

  • 55

    Six mountain climbers divide themselves into 3 teams for the final assault on a peak. One team has 3 limbers;the others have 1 and 2 climbers. All manners of different team deployments are considered, which team goes first, second and third, and two deployments are considered different if the composition of any of the teams is different. (Disregard deployments within each team) What is the total number of possible team deployments?

    360

  • 56

    Consider the following game. A referee has cards labeled A, B, C, and D, and places them face down in some order. You point to each card in turn, and guess what letter is written on the bottom. You guess each of A, B, C and D exactly once, and then the referee tells you that you guessed exactly n of the letters correctly. Which value of n is not possible value of n?

    4

  • 57

    On a test, the passing students had an average of 83,while the failing students had an average of 55. If the overall classaverahe was 76,what percent of the class passed?

    75%

  • 58

    Kim and Gerald walk around a circular track. It takes Kim and Gerald respectively 6 and 10 minutes to finish each lap. They start at the same time, the same point on the track and walk in the same direction around the track. After how many minutes will they be at the same spot again(not necessarily at the starting point) for the first time after they start walking?

    15

  • 59

    A class has 3 girls and 3 boys. These students line up at random, one after another. What is the probability that no boy is right next to another boy, and no girl is right next to another girl?

    1/10

  • 60

    At a party, each person shakes hands with 5 other people. There are a total of 60 handshakes. How many people are at the party?

    24

  • 61

    Each of 10 students has a ticket to one of ten chairs in a row at a theatre. How many ways are there to seat the students so that each student sits either in the chair specified on his/her ticket or in one next to it? Each chair is to be occupied by exactly 1 student.

    89

  • 62

    Allan and Bill are walking in the same direction beside a railroad trac, and Allan is far behind Bill. Both walk at constant speeds, and Allan walks faster than Bill. A long train traveling at a constant speed in the same direction will take 10 seconds to pass Allan(front front to the end) and will take 9 seconds to pass Bill. If it will take 20 minutes for the front of the train to travel from Allan to Bill, how many minutes will it take for Allan to catch up to Bill?

    200

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    問題一覧

  • 1

    The sum of the ages A, B and C is 45. A and B are twins. C is younger than B. What is the ages of A?

    17

  • 2

    What is 100÷half-50?

    150

  • 3

    What is 50% of 50% of 550?

    137.5

  • 4

    Two times a number is equal to five times a number minus 6. What is the number?

    2

  • 5

    Find the sum of ⅒, ²/100, ³/1000 in decimal form.

    0.123

  • 6

    Solve: 1,4,9,16,25,36,49,64,?

    81

  • 7

    A5, D25, G125, J625, M3125,?

    P15625

  • 8

    Solve:2187, 729,243,81,27,9,?

    3

  • 9

    Solve: 13,-21, 34,-55, 89,?

    -144

  • 10

    Solve AZ, CX, EV, GT,?

    IR KP

  • 11

    Solve: (-9) (-22)

    198

  • 12

    107-(-17)

    124

  • 13

    What is the GREATEST COMMON FACTOR of 36 and 54?

    18

  • 14

    3/9 × 2/3 = ?

    2/9

  • 15

    (21) (-4) +(8) (-2) =?

    -100

  • 16

    What is the LCD of 1/8, 3/4 and 1/16?

    16

  • 17

    Convert 3.14% as a fraction.

    3.4/100

  • 18

    What is the ratio of 1/2 to 2/5?

    5:4

  • 19

    What is 1/4 in decimal?

    .25

  • 20

    Find the value of x in the equation 5x+25=10

    -3

  • 21

    3/4 ÷1/8=?

    6

  • 22

    The sum of 2 intergers is 63. If one of the integers is three more than twice the other, what are the two integers?

    43 and 20

  • 23

    If x=8, find the value of y in the equation:4x-2y=28

    2

  • 24

    2.12 is multiplied by 10 to the 6th power is?

    2,120,000

  • 25

    25 is multiplied by 10 to the 5th power is)?

    2,500,000

  • 26

    Find the value of x if y=8 in the equation 2x+4y=50

    9

  • 27

    What is the decimal form of 3/4?

    0.75

  • 28

    Mr. Gil Bates owns 3/8 of Macrohard. After selling 1/3 of his share, how much of Macrohard does Mr. Bates still own?

    1/4

  • 29

    Cathy scored 85,87,90,95 and 100 in her Math exams. What will be her average grade in math?

    91.4

  • 30

    Miles left home and drove at a rare of 50 miles per hr for 2 hrs. She stopped for lunch then drove for another 4 hrs at 65mph to reach Los Angeles. How many miles did Miles drive to reach LA?

    360 miles

  • 31

    6/8 + 2½+⁴/12 is also the same as..?

    ¾ + 5/2 + 1/3

  • 32

    There are 36 reams of mimeographing paper in the drawer. If 1 ¼ dozens of reams of paper were to be used in printing, how many reams should be left in the drawer?

    21

  • 33

    A square and a rectangle have equal areas. If the rectangle is 36 by 16,what is the side of a square?

    24

  • 34

    Two numbers are in the ratio of 3 to 5. The lesser number is 42. Find the greater number.

    70

  • 35

    The total area of a cube is the sum of its lateral area and the area of its basis. If the edge of a cube is 4,find it's total area.

    96

  • 36

    If a can of paint will cover approximately 60 square yards, what length of the wall can be painted if the wall is 8 feet high?

    67.5 ft

  • 37

    A board 18 feet long is cutted into 2 pieces. Two feet less than the product of five and the length of the shorter piece is equal to the difference between three times the length of the longer piece and eight. What is the length of the shorter piece?

    6

  • 38

    James that is 5 times older than James and James is twice as old as his sister Sara. In two years, the sum of their ages will be 58. How old is James now?

    8 yrs old

  • 39

    A house and lot are sol for 14M. The house costs 1.5 times as much as the lot. How much does the lot costs?

    5.6

  • 40

    The difference between 8 times a number and 17 is 231. Find the number.

    31

  • 41

    How many 1 cm square stickers are needed to cover a photo box 4 cm long, 3 cm wide and 5 cm high?

    94

  • 42

    A video caste movie, purchased for 440 was marked up 25% on the selling price. Later, as retail prices fell, this movie was marked down 20% on the current sale price. Find it's new sale price.

    440

  • 43

    How many meters of fencing are needed to enclose a 84m by 48m rectangular garden?

    264m

  • 44

    A water container has 100ml of water in it and is 20% full. How many ml of water can this container hold if it is full?

    500ml

  • 45

    A 30cm long 0lastic pipe costs 249. At this rate, what is the price of the pipe per meter?

    830 pesos

  • 46

    Andrea uses ten 100-watt bulbs in her house. She uses these bulbs at an average of 5 hrs each day. How many KWH do these bulbs use each day?

    5 kwh

  • 47

    An electric uses 12,200 watts per hour and is run an average of 60 hrs a year. How many kilowatt per hour is this?

    732

  • 48

    Kathryn went to SM for a 3-day sale. She bought a new pair of shoes and paid only P2, 450 discounted for 20% off. What's the original price of the shoes?

    3,062.5

  • 49

    Last month a store manager decided to decrease the prices of all items by 10%. This month he increased th prices by 10%. What would be the prices for a pair of pants that had costs P750 before prices were decreased last month?

    742.5 pesos

  • 50

    Two armies are advancing towards each other, each one at 1mph. A messenger leaves the first army when the two armies are 10 miles apart and runs towards the second at 9mph. Upon reaching the second army, he immediately turns around and runs towards the first army at 9mph. How many miles apart are the two armies when the messenger gets back to the first army?

    6 miles

  • 51

    You play on a game show where a prize has been randomly putted into one of five boxes, labeled A, B, C, D and E, with each box equally likely to contain the prize. The boxes are closed when you first see them, and you guess that box A contains the prize. Two of the empty boxes from among the four other boxes are then opened. If these two boxes are C and E, what is the probability that box D contains the prize?

    2/5

  • 52

    How many positive integers less than or equal to 2013 are divisible by at least one of 3,11 and 61?

    813

  • 53

    You own 13 pairs of socks, all different, and all of the socks are individually jumbled in a drawer. One morning you rummage through the drawer and continue to pull out socks until you have a matching pair. How many socks must you pull out to guarantee having a matching pair?

    14

  • 54

    A jeweler has 20-gram ring that is 60% gold and 40% silver. He wants to melt it down and add enough gold to make it 80%. How many grams of gold should be added?

    20 grams

  • 55

    Six mountain climbers divide themselves into 3 teams for the final assault on a peak. One team has 3 limbers;the others have 1 and 2 climbers. All manners of different team deployments are considered, which team goes first, second and third, and two deployments are considered different if the composition of any of the teams is different. (Disregard deployments within each team) What is the total number of possible team deployments?

    360

  • 56

    Consider the following game. A referee has cards labeled A, B, C, and D, and places them face down in some order. You point to each card in turn, and guess what letter is written on the bottom. You guess each of A, B, C and D exactly once, and then the referee tells you that you guessed exactly n of the letters correctly. Which value of n is not possible value of n?

    4

  • 57

    On a test, the passing students had an average of 83,while the failing students had an average of 55. If the overall classaverahe was 76,what percent of the class passed?

    75%

  • 58

    Kim and Gerald walk around a circular track. It takes Kim and Gerald respectively 6 and 10 minutes to finish each lap. They start at the same time, the same point on the track and walk in the same direction around the track. After how many minutes will they be at the same spot again(not necessarily at the starting point) for the first time after they start walking?

    15

  • 59

    A class has 3 girls and 3 boys. These students line up at random, one after another. What is the probability that no boy is right next to another boy, and no girl is right next to another girl?

    1/10

  • 60

    At a party, each person shakes hands with 5 other people. There are a total of 60 handshakes. How many people are at the party?

    24

  • 61

    Each of 10 students has a ticket to one of ten chairs in a row at a theatre. How many ways are there to seat the students so that each student sits either in the chair specified on his/her ticket or in one next to it? Each chair is to be occupied by exactly 1 student.

    89

  • 62

    Allan and Bill are walking in the same direction beside a railroad trac, and Allan is far behind Bill. Both walk at constant speeds, and Allan walks faster than Bill. A long train traveling at a constant speed in the same direction will take 10 seconds to pass Allan(front front to the end) and will take 9 seconds to pass Bill. If it will take 20 minutes for the front of the train to travel from Allan to Bill, how many minutes will it take for Allan to catch up to Bill?

    200