Number Assigned DueTopicProblem Description
32 Thursday
210826 		Friday
210827		Math

  1. (35/100) + (3/10) = x/100

  2. Nancy is 9 years old. Her father is 33 years older than she is. How old is Malinalli's father? How old will Malinalli be when her father turns 50?

  3. The fourth graders at Nuevo Continente School voted for a new school mascot. Peter the Penguin got 11 votes. Timmy the Tiger got 6 times as many votes as Peter the Penguin. How many votes did Timmy the Tiger get?

Number Assigned DueTopicProblem Description
32 Wednesday
210825 		Thursday
210826		Math

  1. (28/100) + (7/10) = x/100

  2. Nancy is 24 years old. Her grandfather is 57 years older than she is. How old is Nancy's grandfather?

  3. The fourth graders at Cunningham Elementary School voted for a new school mascot. Peter the Penguin only got 7 votes. Timmy the Tiger got 8 times as many votes as Peter the Penguin. How many votes Timmy the Tiger got?

Number Assigned DueTopicProblem Description
31 Thursday
210819 		Friday
210820		Time

  1.     The Roly Polys are planning a trip to Australia, to visit the cangaroos. The trip to Sidney, Australia, consists of two legs: (1) Mexico City to San Francisco, USA, and (2) San Francisco to Sidney, Australia. The first leg takes 4:00 hr; the second 8:00 hr. The layover in San Francisco on the outbound trip is 5 hr. Mexico City is UTC - 5; San Francisco is UTC - 7; Sidney is UTC - 12. Total time difference between Mexico City and Sidney = 7 hr. If departure from Mexico City is at 8:00 am, what is the time of arrival in Sidney, local time? On the return flight, the layover in San Francisco is 4 hr. If departure from Sidney is at 9:00 am, what is the time of arrival in Mexico City, local time?

    [Click on top of image to display].

    Total

Number Assigned DueTopicProblem Description
30 Wednesday
210818 		Thursday
210819		Time

  1.     The Roly Polys are planning a trip to Egypt, to visit the pyramids. The trip to Egypt consists of two legs: (1) Mexico City to Madrid, Spain, and (2) Madrid to Cairo, Egypt. The first leg takes 6:00 hr; the second 3:00 hr. The layover in Madrid on the outbound trip is 4 hr. Mexico City is UTC - 5; Madrid is UTC + 0; Cairo is UTC + 2. Total time difference between Cairo and Mexico City = 2 + 5 = 7 hr. If departure from Mexico City is at 10:00 pm, what is the time of arrival in Cairo, local time? On the return flight, the layover in Madrid is 5 hr. If departure from Cairo is at 7:00 am, what is the time of arrival in Mexico City, local time?

    [Click on top of image to display].

    Total

Number Assigned DueTopicProblem Description
29 Thursday
210722 		Friday
210723		Time

  1.     The Roly Polys are planning a trip to Hawaii, in the Pacific Ocean. The trip to Hawaii consists of two legs: (1) Mexico City to Los Angeles, and (2) Los Angeles to Hawaii. The first leg takes 4:00 hr; the second 5:00 hr. The layover in Los Angeles on the outbound trip is 3 hr. Mexico City is UTC - 5; Hawaii is UTC - 10; total time difference = 5 - 10 = -5 hr. If departure from Mexico City is at 9:00 am, what is the time of arrival in Hawaii, local time? On the return flight, the layover in Los Angeles is 4 hr. If departure from Hawaii is at 11:00 am, what is the time of arrival in Mexico City, local time?

    [Click on top of image to display].

    Total

Number Assigned DueTopicProblem Description
28 Wednesday
210722 		Thursday
210722		Time

  1.     The Roly Polys are planning a trip to Ushuaia, in the Patagonia, Argentina, to visit the Strait of Magellan, at the tip of South America.. The trip to Ushuaia consists of two legs: (1) Mexico City to Buenos Aires, Argentina, and (2) Buenos Aires to Ushuaia, Patagonia, The first leg takes 9:30 hr; the second 3:30 hr. The layover in Buenos Aires is 4 hr. Mexico City is UTC - 5; Argentina is UTC - 3; total time difference = 5 - 3 = 2 hr. If departure from Mexico City is at 11:00 am, what is the time of arrival in Ushuaia, local time? On the return flight, the layover in Buenos Aires is 5 hr. If departure from Ushuaia is at 7:00 am, what is the time of arrival in Mexico City, local time?

    [Click on top of image to display].

    [Click on top of image to display].

    Total effective time of outbound trip = 9:30 + 3:30 + 4 = 17 hr.
    Total time after correction = 17:00 + 2:00 = 19:00
    Arrival in Ushuaia: 11:00 am + 19:00 - 24:00 = 6:00 am (the next day)
    ---
    Total effective time of inbound trip = 9:30 + 3:30 + 5 = 18 hr.
    Total time after correction = 18:00 - 2:00 = 16:00
    Arrival in Mexico City: 7:00 am + 16:00 = 23:00 = 11:00 pm (the same day)

Number Assigned DueTopicProblem Description
27 Friday
210709 		Monday
210719		Time

  1.     The Roly Polys are planning a safari trip to Africa, to visit the Kalahari desert and see the giraffes and the rhinoceros in their natural habitat. The trip to Gaborone consists of two legs: (1) Mexico City to Amsterdam, Netherlands, and (2) Amsterdam to Gaborone, Botswana. The first leg takes 10 hr; the second 11 hr. The layover in Amsterdam is 4 hr. Mexico City is UTC - 7; Gaborone is UTC + 2; total time difference = -(-7) + 2 = 9 hr. If departure from Mexico City is at 8:00 am, what is the time of arrival in Gaborone, local time? On the return flight, the layover in Amsterdam is 3 hr. If departure from Gaborone is at 9:00 am, what is the time of arrival in Mexico City, local time?

    [Click on top of image to display].

Number Assigned DueTopicProblem Description
26 Thursday
210708 		Friday
210709		Time

  1.     The Roly Polys are planning trip to Delhi, India. There are two legs: Mexico City - Frankfurt, Germany, and Frankfurt, Germany - Delhi, India. The first leg takes 11 hr; the second leg 8 hr. If the departure time is 8:00 am and the layover in Frankfurt is 4 hr; what is the time of arrival in Delhi, local time? Delhi is 10 hr ahead of Mexico City. On the return flight, departure time is 11:00 pm and the layover in Frankfurt is 5:00 hr. What is the local time of arrival in Mexico City?

    [Click on top of image to display].

    Total effective time of outbound trip = 11 + 4 + 8 = 23 hr.
    Total time after correction = 23:00 + 10:00 = 33:00
    Arrival in Delhi: 8:00 am + 33:00 - 24:00 = 17:00 = 5:00 pm (the next day)
    ---
    Total effective time of inbound trip = 11 + 5 + 8 = 24 hr.
    Total time after correction = 24:00 - 10:00 = 14:00
    Arrival in Mexico City: 11:00 am + 14:00 - 24:00 = 1:00 am (the next day)

  2.    The time difference between New York City and Anchorage, Alaska is 4:00 hr. If the non-stop flight lasts 7:00 hr. What is the effective clock time for the trip from New York to Anchorage? What is the effective clock time for the return trip from Anchorage to New York?

    [Click on top of image to display].

    Total time of outbound trip = 7 hr.
    Total time after correction = 7:00 - 4:00 = 3:00
    Effective clock time = 3:00 hr
    ---
    Total time of inbound trip = 7 hr.
    Total time after correction = 7:00 + 4:00 = 11:00
    Effective clock time = 11:00

  3.    Greenland (purple on the map, Groenlandia in Spanish) is about one-fourth of the size of the contiguous United States (green). However, on the map it looks larger. Why?

    [Click on top of image to display].

    All world maps on plan are distorted, and not to true scale or size. The closer the region is to the poles, the greater it looks. Thus, Greenland looks larger than the United States, when in fact it is only a fraction of it.

Number Assigned DueTopicProblem Description
26 Wednesday
210707 		Thursday
210708		Time

  1.     The Roly Polys are planning a trip to Cancun in the winter. During the winter, the time difference between Quintana Roo and Central Mexico is 1 hr, with Quintana Roo ahead, +1:00 hr. The flight time between the two cities is 2:30 hr. If the departure time from Mexico City is 9:00 am, what is the time of arrival in Cancun, local time? On the return leg of the trip, if departure from Cancun is 3:00 pm, what is the time of arrival in Mexico City, local time?

    Departure from Mexico City = 9:00 am
    Arrival in Cancun, local time = 9:00 + 2:30 + 1:00 (winter time difference) = 12:30 pm
    Departure from Cancun = 3:00 pm
    Arrival in Mexico City, local time = 3:00 pm + 2:30 - 1:00 (winter time difference) = 4:30 pm

  2.    The flight from Santiago, Chile, to Easter Island takes 3:30 hr. Easter Island is 2:00 hr behind Chile (see map). With departure from Santiago at 8:00 am, when is the arrival time in Easter Island, local time? With departure from Easter Island at 3:00 pm, when is the arrival time in Santiago de Chile, local time?

    Arrival

    Departure from Santiago, Chile = 8:00 am
    Arrival in Easter Island, local time = 8:00 am + 3:30 - 2:00 (time difference) = 9:30 am
    Departure from Easter Island = 3:00 pm
    Arrival in Santiago, Chile, local time = 3:00 pm + 3:30 + 2:00 ( time difference) = 8:30 pm

Number Assigned DueTopicProblem Description
25 Monday
210705 		Tuesday
210706		Time

  1.     Padrino is planning a trip to Spain. The trip consists of two legs: (1) Tijuana-Mexico City, which takes 3 hr; and (2) Mexico City-Madrid, which takes 11 hr. Departure time from Tijuana is 8:00 am. If the number of time zones btween Tijuana and Madrid is nine (9) and layover in Mexico City is 3:00 hr. What is the time of arrival in Madrid, local time?

    Total duration of trip, including layover (stop) = 3:00 + 11:00 + 3:00 = 17:00 hr
    Difference in time between Tijuana and Madrid =
    + 9:00 hr
    Total effective time = 17:00 + 9:00 = 26:00 hr
    Starting time in Tijuana = 8:00 am
    Time of arrival in Madrid = 8:00 (on Day 1) + 26:00 - 24:00 = 10:00 am (on Day 2)

  2.    The return trip from Madrid will start at 1:00 pm. What is the time of arrival in Tijuana (local time) assuming the layover time in Mexico City on the return flight is only 2:00 hr?

    Total duration of trip, including layover (stop) = 3:00 + 11:00 + 2:00 = 16:00 hr
    Difference in time between Madrid and Tijuana =
    - 9:00 hr
    Total effective time = 16:00 - 9:00 = 7:00 hr
    Starting time Madrid = 1:00 pm
    Time of arrival in Tijuana = 1:00 pm + 7:00 hr = 8:00 (on same day)

  3.    A trip to the Galapagos Islands from Guayaquil, Ecuador, takes 2:00 hr. The Galapagos Islands are west of Guayaquil, 1:00 hr behind in time. If departure from Guayaquil is at 8:00 am. What is the time of arrival in Galapagos, local time? On the return flight, if departure from Galapagos is at 2:00 pm. What is the time of arrival in Guayaquil, local time?

    Duration of flight = 2:00 hr
    Outbound trip, time of arrival in Galapagos, local time = 8:00 am + 2:00 - 1:00 = 9:00 am
    Inbound trip, time of arrival in Guayaquil, local time = 2:00 pm + 2:00 + 1:00 = 5:00 pm

Number Assigned DueTopicProblem Description
24 Friday
210702 		Monday
210705		Time

  1.     Last week Mali did her homework in 2 hr on Monday, 1:30 min on Tuesday, 1:15 min on Wednesday, 1:00 on Thursday, and 1:15 min on Friday. What is the average time per day during last week?

    Total time spent in homework during the week = 2:00 + 1:30 + 1:15 + 1:00 + 1:15 = 7:00 hr
    Average time spent on homework per day = 7:00 / 5 = (5:00 hr + 2:00 hr)/5 = 1:00 hr + 2:00/5 = 1:00 hr + 60 min/5 = 1:00 + 0.24 = 1:24

  2.     A trip to Veracruz by land takes 8 hr. If the trip starts at 8:00 am one day, what is the arrival time in Veracruz, assuming a 1-hr stop for refreshments? Veracruz is on the same central time as Mexico City.

    Arrival in Veracruz Mexico City time = 8:00 + 8:00 + 1:00 = 17:00 = 5:00 pm

  3.     A trip from Mexico City to Cochabamba, Bolivia, will take a total of 14 hr, including a 3-hr layover (stop) in Lima and 2-hr layover (stop) in La Paz, Bolivia. If the Mexico City-Lima leg is 6 hr, and the Lima-La Paz leg is 2 hr. What is the duration of the flight from La Paz to Cochabamba? If the trip starts at 8:00 pm in Lima, at what time does the traveler arrive in Cochabamba (local time)? (Cochabamba has the same time of La Paz and La Paz is 1 hr ahead of Lima).

    Duration of the flight from La Paz to Cochabamba = 9:00 - 6:00 - 2:00 = 1:00
    Arrival in Cochabamba= 20:00 + 14:00 + 1:00 (time difference) = 35:00
    Arrival next day = 35:00 - 24:00 = 11:00 am

Number Assigned DueTopicProblem Description
23 Thursday
210701 		Friday
210702		Time

  1.     Mali goes to sleep at 9:00 pm and wakes up at 7:am. Rubi goes to sleep at 8:00 pm and wakes up at 6:00 am. How many hours does Mali sleep? How many hours does Rubi sleep?

    Mali sleep time = 7 hr + 3 hr (previous day) = 10 hr
    Rubi sleep time = 6 hr + 4 hr (previous day) = 10 hr

  2.     A flight from Mexico City to Lima, Peru, takes 5:30 hr. A flight from Lima to Cuzco takes 1:00 hr. Mexico City and Lima (all Peru) are on the same time. If the Arratia Perez family leaves Mexico City at 8:00 am, and the layover in Lima is 3 hr? At what time do they arrive in Cuzco?

    Total duration of flights, including layover (stop) in Lima = 5:30 + 3:00 + 1:00 = 9:30 hr
    Time of arrival in Cuzco = 8:00 + 9:30 = 17:30 = 5:30 pm

  3.     A flight from Lima to Sao Paulo, Brazil, takes 4 hr. Sao Paulo is 2 hr ahead in time. If Padrino leaves Peru at 10:00 am. At what time does he arrive in Sao Paulo, local time?

    Time of arrival in Sao Paulo = 10:00 am (departure time) + 4:00 hr (flight duration) + 2:00 hr (time zone difference, Sao Paulo is ahead 2 hr) = 16:00 = 4:00 pm

Number Assigned DueTopicProblem Description
22 Wednesday
210630 		Thursday
210701		Time

  1.     A flight from Mexico City to Tokyo, Japan takes 13 hr. Tokyo is 14 hr ahead of Mexico City. If a traveler leaves Mexico City at 8:00 am on a Monday, what is the local time and day of the week on arrival in Tokyo?

    Duration of flight = 13 hr
    Tokyo is 14 hr ahead 0f Mexico City.
    Effective duration = 13 hr + 14 hr = 27 hr.
    Time of departure from Mexico City = Monday 8:00 am
    Time of arrival in Tokyo, local time (27 hr later)= Tuesday 11:00 am

  2.     A direct flight from Tijuana to Cancun takes 4:30 hr. If the departure from Tijuana (northwest time zone) is at 10:00 am local time? What is the local time of arrival in Cancun (southeast time zone)?

    Departure from Tijuana = 10:00 am
    Arrival in Cancun, Tijuana time = 10:00 + 4:30 = 14:30 = 2:30 pm
    Arrival in Cancun, local time = 2:30 pm + 3:00 hr (difference in time between Tijuana and Cancun) = 5:30 pm.

  3.     A flight from Mexico City to Los Mochis, Sinaloa, takes 2 hr. If departure from Mexico City is at 10:00 am, what is the local time in Los Mochis upon arrival? If departure from Los Mochis is at 1:00 pm, what is the local time in Mexico City upon arrival?

    Local time in Los Mochis = 10:00 + 2:00 (flight time) - 1:00 (time difference) = 11:00 am
    Departure from Los Mochis = 1:00 pm
    Local time in Mexico City = 1:00 pm + 2:00 (flight time) + 1:00 (time difference) = 4:00 pm

Number Assigned DueTopicProblem Description
21 Tuesday
210629 		Wednesday
210630		Time

  1.     The Arratia Perez family visited the United States in August of 2018. The trip to San Diego took six (6) hours, including three (3) at the airport in Mexico City. If the starting time was 8:00 am in Mexico City, and the ending time was 12:00 pm in San Diego. How many hours of difference is there between Mexico City and San Diego?

    Effective duration of trip = 6 hr total
    Local Time between departure in Mexico City and arrival in San Diego = 4 hr
    San Diego is = 6 - 4 = 2 hr behind Mexico City.

  2.     Madrid, Spain, is 5 hr ahead of Mexico City. If the Arratia Perez family leaves Mexico City on a flight to Madrid at 10:00 pm one night, at what time do they arrive in Madrid, assuming that the flight takes 6 hours?

    Time leaving Mexico City = 10:00 pm
    Time of arrival in Madrid in Mexico City time (6-hr flight duration) = 4:00 am next day
    Time of arrival in Madrid time = 4:00 + 5:00 = 9:00 am

  3.     A flight from San Diego to Hawaii takes five (5) hours. Hawaii is 2 hours behind San Diego on the map. If Padrino and Madrina leave for Hawaii from San Diego at 8:00 am, at what time do they arrive in Hawaii? When they return, they leave at 2:00 pm. At what time do they arrive in San Diego?

    Leaving San Diego at 8:00 am
    Arrival in Hawaii in San Diego time = 8:00 + 5:00 = 1:00 pm (13:00)
    Arrival in Hawaii in Hawaii time =
    13:00 - 2:00 = 11:00 am
    Leave Hawaii at time = 2:00 pm (14:00)
    Arrival in San Diego in Hawaii time = 14:00 + 5:00 = 19:00 (7 pm)
    Arrival in San Diego in San Diego time = 19:00 + 2:00 = 21:00 (9 pm)

Number Assigned DueTopicProblem Description
20 Monday
210628 		Tuesday
210629		Time

  1.     The homework will take 1:30 minutes to do. Malinalli starts at 2:30 pm, but takes a 30-minute break at 3:30 pm. At what time does she finish the homework?

    Total duration, including break = 1:30 + 0:30 = 2:00 hr
    Time of homework finished: 2:30 + 2:00 = 4:30 pm

  2.     A trip to Zacatecas by plane will take a total of 4:30 hr, consisting of 2:00 at the Mexico City airport, 1:30 hr on the plane, and 1:00 hr from the airport in Zacatecas to the hotel. The flight is scheduled at 10:00 am, and the trip to the airport is 1:00 hr. At what time should the family leave the house to start the trip? At what time will the family arrive at the hotel in Zacatecas?

    Family to leave house at 8:00 - 1:00 = 7:00 am
    Duration of trip: 1:00 + 2:00 + 1:30 + 1:00 = 5:30 hr Family arrives in hotel at Zacatecas = 7:00 + 5:30 = 12:30 pm

  3.     Padrino is visiting the Arratia family. His Aeromexico flight is at 1:00 am, arriving in Mexico City at 6:00 am, including a 2-hr time difference (Mexico City is 2 hr ahead of San Diego). He needs to be at the airport in San Diego 3 hr ahead of departure. The trip to the airport by taxi takes 30 minutes. What time should he leave the house?

    Time to leave the house = 1:00 am - 3:00 - 0.30 = 9:30 pm of the previous night.

Number Assigned DueTopicProblem Description
19 Friday
210625 		Monday
210628		Time

  1.     Malinalli usually takes one hour to do her NC homework every weekday. If the math homework assigned by Padrino takes 0:45 hr, and she starts at 2:30 pm, what time does she usually finish both homeworks?

    Duration of both homework = 1:00 + 0:45 = 1:45 hr.
    Start time: 2:30 pm
    End time+ 2:30 pm + 1:45 hr = 3:75 = 4:15 pm

  2.     A vacation to Huichapan, Hidalgo, would take a total of 3:45 hr of driving. Starting at 9:00 am, when would the family arrive in Huichapan, assuming that they did not stop for a lunch break, but only 10 minutes to get an icecream along the way?

    Start of trip = 9:00 am
    Arrive in Huichapan without break = 9:00 + 3:45 = 12:45 pm
    Duration of icecream break = 0:10 hr
    Total duration of trip = 12:45 + 0:10 = 12:55 pm

  3.     The Arratia Perez is planning a vacation trip to Guadalajara, Jalisco state. The trip will take 7 hr. They plan to reach Guadalajara before 5 pm. What time would they have to start from Mexico City, assuming a 0:45-minute lunch break along the way?

    Planned arrival time in Guadalajara = 5:00 pm = 17:00
    Starting time without break = 17:00 - 7:00 hr = 10:00 am
    Duration of break = 0:45 hr
    Starting time with break = 10:00 - 0:45 = 9:15 am

  4.     The Arratia Perez sisters together weigh 42 kilos. When they are 13 and 9, respectively, the expectation is that they will weigh, Malinalli 39 kilos, and Rubi 24. What is the fraction of weights of the sisters now and four years later?

    Starting combined weight = 42 kilos
    Ending combined weight = 39 + 24 = 63 kilos
    Fraction of old/new weights = 42/63 = 6/9 = 2/3

Number Assigned DueTopicProblem Description
18 Thursday
210624 		Friday
210625		Time

  1.     Malinalli usually does her math homework in the afternoon, after class at NC school. The work takes about 1 hour. If she starts at 3:00 pm, and takes a 15-minute break in tne middle, what time does she usually finish the math homework?

    Start homework at 3:00 pm
    Duration = 1:00 hr
    End at 4:00 pm without break
    Break = 0:15
    End time with break = 4:15

  2.     A vacation trip to the Basaltic Prisms in Hidalgo state, consists of two segments: First, the Ciudad de Mexico-Pachuca leg, which takes 1:30 hours, and second, the Pachuca-Huasca de Ocampo leg, which takes 1:45 hr. If the starting time at Mexico City is 9:15 am, with a 30-minute stop at Pachuca for a gorditas snack, at what time does the trip end at Huasca de Ocampo?

    Duration of both trips = 1:30 + 1:45 = 2:75 = 3:15 hr
    Duration of break for snack = 0:30 hr
    Total time of trip, with gorditas snack = 3:15 + 0:30 = 3:45 hr
    Start time from Mexico City = 9:15 am
    End time in Huasca de Ocampo = 9:15 + 3:45 = 12:60 = 13:00 = 1:00 pm

  3.     The Arratia Perez sisters (Las Niñas Vascongadas) weigh, together, 40 kilos. Their parents weigh, together, 118 kilos. How many kilos does the parents have to gain to reach, exactly, a ratio of 3 to 1 of parents to kids weight?

    Weight of kids = 40 kilos
    3 × weight of kids = 120 kilos
    Weight of parents = 118 kilos
    Number of kilos parents need to increase to reach 120 kilos = 120 - 118 = 2 kilos

  4.     Padrino weights 216 lbs. If 1 kilo = 2.2 lbs, what is his weight, in kilos? Express in closest round number of kilos.

    Weight of Padrino in kilos = 216 / 2.2 = 98.18 kilos = 98 kilos.

Number Assigned DueTopicProblem Description
17 Wednesday
210623 		Thursday
210624		Fractions and other

  1.     The Arratia Perez family left Mexico City at 8:10 pm on Friday, and arrived in San Juan del Rio, Queretaro, at 11:15 pm. The next day, Saturday, they left San Juan del Rio at 8:50 am and arrived in Huichapan, Hidalgo, at 10:20 am. How long was the complete trip, from Mexico City to Huichapan?

    Duration from Mexico to San Juan del Rio: 11:15 pm - 8:10 pm = 3:05
    Duration from San Juan del Rio to Huichapan: 10:20 am - 8:50 am = 9:80 - 8:50 = 1:30
    Duration of complete trip = 3:05 + 1:30 = 4:35 h

  2.     The Arratia Perez family visited the Railroad Museum in Puebla, and spent 55 minutes there. Later, they visited the Amparo Museum, also in Puebla, and spent 1:45 minutes at that museum.. What was the total effective duration of the two museum visits? If they left at 2:05 pm from the Amparo Museum, and arrived at 5:25 pm at the airport. How long was the trip from the Amparo Museum to the Mexico City airport?

    Total duration of the two visits = 0:55 + 1:45 = 1:100 = 2:40 h
    Duration of trip to the airport = 5:25 - 2:05 = 3:20 h

  3.     The Arratia family left Mexico City en route to Morelia, Michoacan, at 8:20 am. They stopped for lunch for 35 minutes in Atlacomulco, Estado de Mexico, and arrived at their destination in Morelia at 1:35 pm. How much time did they spend on the road?

    Total time of trip, including lunch = 13:35 - 8:20 = 5:15 h
    Time spent in the road = 5:15 - 0:35 = 4:75 - 0:35 = 4:40 h

  4.     The conversion between kilos and pounds is approximately 1 kilo = 2.2 lbs. A cake will require 2 kilos of ingredients. How many pounds does this quantity amount to?

    Weight of cake in lbs (pounds) =
    2 × 2.2 = 4.4 lbs.

Number Assigned DueTopicProblem Description
17 Tuesday
210622 		Wednesday
210623		Fractions

  1.     A birthday party has 50 guests. The charge per guest is 300 pesos. The tacos de canasta will cost 6000 pesos. Music, per hour, is 2000 pesos. It is expected that the party will last at most 4 hr. What is the total cost of the birthday party?

    Cost of all guests = 50 × 300 = 15,000 pesos
    Tacos de canasta = 6,000 pesos
    Music = 4 × 2,000 = 8,000 pesos
    Totsl cost = 15,000 + 6,000 + 8,000 = 29,000 pesos

  2.     A weekly purchase of food at Walmart consists of the following: (a) sugar, 1 kilo; (b) rice, 2 kilos, (c) flour, 3 kilos. The cost of sugar is 27 pesos/kilo; rice 13 pesos/kilo, and flour 16 pesos/kilo. What is the total cost of the purchase?

    Total cost of purchase = (1 × 27)
    + (2 × 13) + (3 × 16)
    Total cost = 27 + 26 + 48 = 101 pesos

  3.     A recipe for a cake calls for 200 grams of sugar, 1.5 kilograms of flour, and 1 liter (1 kilogram) of water. What is the weight of all the ingredients? If one-half of the water evaporates during cooking, what is the weight of the cake?

    Weight of ingredients = 200 + 1,500 + 1,000 = 2,700 grams = 2.7 kilograms
    Water evaporated after cooking = 500 grams = 0.5 kilogram
    Weight of cake = 2.7 - 0.5 = 2.2 kilograms

  4.     The Arratia Perez family weight is: Dad, 65 kilos, Mom 52 kilos, Mali 24 kilos, Rubi, 18 kilos. What is the total weight of the family? If in one year, Dad increases 2 kilos, Mom loses 2 kilos, Mali gains 1.5 kilos, and Rubi, 1.2 kilos. What is the combined new weight of the Arratia Perez family?

    Total weight of Arratia Perez family = 65 + 52 + 24 + 18 = 159 kilos
    New weight = 67 + 50 + 25.5 + 19.2 = 161.7 kilos

Number Assigned DueTopicProblem Description
16 Monday
210621 		Tuesday
210622		Fractions

  1.     A birthday party has 80 guests, including 10 children and 10 senior citizens. Each table costs 1200 pesos and fits 10 persons each. Food will be charged at 400 pesos per adult, 200 pesos per child, and 300 pesos per senior citizen. Music, per hour, is 2500 pesos. It is expected that the party will last at most 4 hr. What is the total cost of the wedding party?

    Number of tables = 80/10 = 8
    Cost of the tables = 8 × 1,200 = 9,600 pesos
    Cost of food = (60 × 400) + (10 × 200) + (10 × 300) = 24,000 + 2,000 + 3,000 = 29,000
    Cost of music = 2,500 × 4 = 10,000 pesos
    Total cost of party = 9,600 + 29,000 + 10,000 = 48,600 pesos

  2.     The former republic of Yugoslavia (1980s) is, since 2008, divided into seven (7) republics: Slovenia, Macedonia, Serbia, Bosnia-Herzegovina, Kosovo, Croacia, and Montenegro. Slovenia, Croatia, Bosnia-Herzegovina and Montenegro have limit with the ocean (the Adriatic Sea). What fraction of republics of the former Yugoslavia is land-locked?

    Fraction = (7 - 4) / 7 = 3/7

    [Click on top to display map]

Number Assigned DueTopicProblem Description
15 Thursday
210617 		Monday
210621		Fractions

  1.     A wedding party has 150 guests, including 10 children. Each table costs 1200 pesos and fits 10 persons each. Food will be charged at 400 pesos per adult and 250 pesos per child. Music, per hour, is 2000 pesos. It is expected that the party will last at most 5 hr. What is the total cost of the wedding party?

    Number of tables = 150/10 = 15
    Cost of the tables = 15 × 1,200 = 18,000 pesos
    Cost of food = (140 × 400) + (10 × 250) = 58,500
    Cost of music = 2,000 × 5 = 10,000 pesos
    Total cost of party = 58,500 + 18,000 + 10,000 = 86,500 pesos

  2.     The number of sovereign (independent) states (countries) in Europe is 50, and in Asia 50. If the number of countries in America is 35, what is the fraction of number is countries in America to the number of countries of combined Europe and Asis?

    Fraction = 35 / (50 + 50) = 35/100 = 7/20

Number Assigned DueTopicProblem Description
14 Wedbesday
210616 		Thursday
210617		Fractions

  1.     A wedding party will have 100 guests. Each table fits 8 persons and costs 3,000 pesos. How many table are required? Dinner costs 2,500 pesos per person. The music will cost 12,000 pesos. What is the total cost of the wedding party?

    Number of tables required = 100/8 = 12, and 4 persons not seated
    Number of tables = 13, to seat all 100 guests
    Cost of tables + 13 × 3,000 = 39,000
    Cost of dinner = 100 persons × 2,500 = 250,000 pesos
    Total cost of party = 39,000 + 250,000 + 12,000 = 301,000 pesos

  2.     The number of sovereign (independent) states (countries) in the world is 195, of which 193 are members of the organization called the United Nations. The remaining two, the Vatican (Holy See) and Palestine, are observer states. What fraction of the 195 countries are not members of this organization?

    Fraction = 2/195

Number Assigned DueTopicProblem Description
14 Monday
210615 		Tuesday
210616		Fractions

  1.     A Hyundai 2021 car costs 280,000 pesos. A Mazda 2021 car costs 320,000 pesos. What fraction of the Mazda is the Hyundai?

    Fraction = 280,000/320,000 = 28/32 = 7/8

  2.     A wedding party will have 200 guests. Each table fits 10 persons and costs 6,000 pesos, dinner included. The music will cost 15,000 pesos. What is the total cost of the wedding party?

    Number of tables = 200/10 = 20
    Cost of the tables = 20 × 6,000 = 120,000 pesos
    Total cost, including music = 120,000 + 15,000 = 135,000 pesos

  3.     Peru has 26 departments, which are equivalent to states in Mexico. Ten (10) of them are along the Pacific Coast. Three (3) of them are in the low-lying Amazon jungle. What fraction of the departments are in the highlands (mountains, without coast)?

    Total number of departments = 26
    Total of deparments in coast and jungle = 10 + 3 = 13
    Departments in Highlands = 26 - 13 = 13
    Fraction in the highlands = 13/26 = 1/2

  4.     South America has 13 countries, 10 of which speak Spanish as the primary language. The other three (3) countries are French Guiana (French), Guyana (English), and Surinam (Dutch). What fraction of the South American countries do not speak Spanish as the primary language?

    Total number of countries in South America = 13
    Countries speaking Spanish = 19
    Countries not speaking Spanish = 13 - 10 = 3
    Fraction of countries in South Amefica not speaking Spanish = 3/13

Number Assigned DueTopicProblem Description
13 Monday
210614 		Tuesday
210615		Fractions

  1.     The American Continent has 25 countries. 20 of them speak Spanish as the primary language. What fraction of countries in America are non-Spanish speaking?

    Total number iof countries = 25
    Number of countries speaking Spanish = 20
    Fraction of non-Spanish = (25 - 20)/25 = 5/25 = 1/5

  2.     The population of the world is 8 billion persons (1 billion = 1000 million). The population of the American continent is 1 billion. What fraction of the world does not live in the American continent?

    World population = 8 billion
    Population in America = 1 billion
    Population in the rest of the world = 8 - 1 = 7 billion
    Fraction of population not living in America = 7/8

  3.     Mexico has 120 million people, of which 20% are identified as indigenous. Five (5) percent of the indigenous Mexican people speak a language other than Spanish. How many Mexicans identified as indigenous do not speak an indigenous language?

    Population of Mexico = 120 million
    Population of indigenous people living in Mexico = 120 × (20/100) = 24 million
    Population of indigenous people speaking a language other than Spanish = 24 × (5/100) = 1.2 million
    Population of indigenous Mexicans that do not speak an indigenous language = 24 - 1.2 = 22.8 million

  4.     Peru has many languages, but 83% of the population of 30 million speak Spanish. Quechua, the language of the Incas, is spoken by 15% of the population. How many people in Peru speak a language other than Spanish or Quechua? What fraction is it?

    Peru has 30 million people.
    Percentage or Peruvians speaking either Spanish or Quechua = 83 + 15 = 98
    Percentage of people speaking language other than Spanish or Quechua = 100 - 98 = 2
    Number of people speaking language other than Spanish or Quechua = 30,000,000 × (2/100) = 600,000 persons. Fraction = 600,000/30,000,000 = 6/300 = 1/50

Number Assigned DueTopicProblem Description
12 Thursday
210610 		Monday
210614		Fractions

  1.     A neighborhood has 50 houses, 40 percent were built before 1950 (old); the remainder (new) were built after 1950. One-fourth of old houses undergo renovation. What fraction of the total number of houses have been renovated?

    50 × (40/100) = 20 houses were built before 1950.
    50 - 20 = 30 houses were built after 1950.
    20 × (1/4) = 5 old houses are renovated.
    5/50 = 1/10 of the total number of houses have been renovated.

  2.     A car dealership has 80 cars to sell. One-eight of them are red color. Ten of the others (not originally red) are repainted in red color. What fraction of the total number of cars are now red color?

    Number of red cars = 80 × (1/8) = 10
    Number of cars that are not red = 80 - 10 = 70
    Number of the 70 cars that are painted red = 10
    New total number of red cars = 10 + 10 = 20
    New total fraction of red cars = 20/80 = 1/4

  3.     A class has 25 students, 13 boys and 12 girls. Two (2) of the boys and three (3) of the girls call in sick. What fraction of the total number is now the group of remaining )not sick) students, boys and girls together?

    Boys remaining in class = 13 - 2 = 11
    Girls remaining in class = 12 - 3 = 9
    Students remaining in class = 11 + 9 = 20
    Fraction of original number of students, remaining in class= 20/25 = 4/5

  4.     A girl has eighteen (18) dresses, fifteen (15) old and three (3) new. She gives away to charity three (3) of the old dresses. After this gift, what fraction of the original number of dresses (20), is the number of dresses that remain?

    Remaining number of old dresses, after gift to charity = 15 - 3 = 12
    Remaining number of dresses = 12 + 3 = 15
    Fraction of original number remaining = 15/18 = 5/6

Number Assigned DueTopicProblem Description
11 Wednesday
210609 		Thursday
210610		Angles - fractions

  1.     What is the value of the inner angle of an isosceles triangle (three equal-length sides)?

    There are three angles; the sum is 180 degrees. They are all equal; therefore, each angle is 60 degrees.

  2.     A triangle has angles of 100 and 50 degrees. What is the value of the third angle?

    Third angle = 180 - 100 - 50 = 30 degrees.

  3.     A ballet company has 3 male dancers and 12 female dancers. Three female dancers call in sick. What fraction of the remaining group of dancers is now composed of men?

    remaining female dancers = 12 - 3 = 9
    total number of dancers after sick leaves = 9 + 3 = 12
    fraction of male dancers = 3/12 = 1/4

  4.     A group of 47 musicians in an orchestra is divided into groups of four. How many complete groups are they? How many musicians remain in the last, incomplete group?

    47 / 4 = 11 + 3/4.
    Therefore, 3 musicians remain the twelveth, incomplete group.

Number Assigned DueTopicProblem Description
10 Tuesday
210608 		Wednesday
210609		Angles

  1.     A rectangular triangle has one acute angle of 30 degrees. What is the value of the other acute angle?

    180 - 90 - 30 = 60
    60 degrees is the other acute angle.

  2.    A square of 10 cm side length, contains a circle inside, completely filling an inside circle. What is the radius of the circle?

    The radius of the circle inside the square is 5 cm.

  3.     A rectangle has dimensions: length = 20 cm, and height = 10 cm. How many circles of radius r = 5 cm can you fit inside the rectangle?

    Two circles of radius = 5 cm can fit into the rantangle of length = 20 cm.

  4.     An isosceles triangle has a side length = 10 cm. How many of these triangles can confortably fit into a rectangle of 10 m height × 20 cm length?

    Two sitting on the bottom length and one hanging (inverted) from the top length. Total of three (3) isosceles triangles.

Number Assigned DueTopicProblem Description
9 Monday
210607 		Tuesday
210608		Fractions -- rulers

  1.    A ruler is 40 cm long. What fraction is 10 cm?

    10/40 = 1/4

  2.    What is the total length of a ruler if 1/5 of it is 12 cm?

    If 1/5 equal 12 cm; 1 = 5/5
    5 × 12 = 60 cm

  3.     Two rulers are 60 and 100 cm respectively. What fraction of the second is the first?

    60/100 = 6/10 = 3/5

  4.     Three rulers are 30, 50 and 100 cm. What fraction of the third is the sum oif the first two?

    Sum of the first two = 30 + 50 = 80
    Fraction of first two over third = 80/100 = 8/10 = 4/5

Number Assigned DueTopicProblem Description
8 Friday
210604 		Monday
210607		Fractions -- rulers

  1.    A ruler is 30 cm long, divided into six (6) fractions or portions of 5 cm each. It is desired to measure 9 cm. What fraction of the total ruler does this amount? What fraction of the second portion does it amount?

    The ruler is 30 cm long. It has six sections of 5 cm each. 9 cm is 9/30 od the total rular = 3/10. The fraction of the second portionis = (9 - 5) / 5 = 4/5

  2.    A measuring stick is 36 inches long. We want to measure 6 inches. What fraction of the total stick is this measure?

    The stick is 36 inches long. 6 inches is = 6/36 = 1/6 of the total length of the ruler.

  3.     A ruler is 50 cm long. We want to measure 1/4 of the ruler. How many centimeters does this 1/4 amount to?

    The ruler is 50 cm. 1/4 of the total length of the ruler is = 50 / 4 = 12.5 cm

  4.     A ruler is 100 cm long. We want to measure 1/5 of the ruler. How many centimeters does this 1/5 amount to?

    The ruler is 100 cm long. 1/5 of the total is - 100/ 5 = 20 cm.

Number Assigned DueTopicProblem Description
7 Thursday
210603 		Friday
210604		Fractions -- rulers

  1.    A ruler is 30 cm long. If one (1) inch is approximately equal to 2 (1/2) cm, what fraction of the ruler, in centimeters, is occupied by 6 inches?

    Six inches occupies 6 × 2 (1/2) = 15. The fraction of the ruler occupied by 6 inches is = 15/30 = 1/2.

  2.    My Dad weights 60 kilograms; my sister weights 20 kilograms. Does my sister weight 1/3 or 1/2 of my Dad?

    My sister weighs 20/60 of my Dad, that is, 1/3.

  3.    A large piece of luggage is H = 30 inches, L = 20 inches, and W = 10 inches. The sum of length and width should not exceed the height. Does this piece of luggage agree with the specifications?

    The sum of length L and width
    W = 20 + 10 = 30 inches. The height
    H = 30 inches. The sum of L + W agrees with the specification of 30 inches.

  4.     A ruler is 1 m long. It is divided into ten (10) equal segments. How many segments should a 30 cm length encompass?

    The ruler is 1 m long, which is equal to 100 cm. A length of 30 cm is 30/100 = 3/10 of the ruler.

Number Assigned DueTopicProblem Description
6 Wednesday
210602 		Thursday
210603		Fractions -- rulers

  1.    A ruler is 20 cm long, composed of two parts, each 10 cm long. What fraction of the entire ruler is the first 5 cm?

    5/20 = 1/4

  2.    A ruler is 30 cm long, composed of five parts, each 6 cm long. What fraction of the entire ruler is the first 18 cm?

    18/30 = 3/5

  3.    A ruler is 12 cm long, composed of two parts, each 6 cm long. What is the measure in the ruler (cm) corresponding to 1/3 of its total length?

    (1/3) 12 = 12/3 = 4 cm

  4.    A ruler is 25 cm long, composed of five parts, each 5 cm long. What is the measure in the ruler (cm) corresponding to 4/5 of its total length?

    (4/5) 25 = 100/5 = 20 cm

Number Assigned DueTopicProblem Description
5 Tuesday
210601 		Wednesday
210602		Fractions -- operations

  1.    9 (1/3) + 5 (1/2) =

    28/3 + 11/2 =

    56/6 + 33/6 =

    89/6 = 14 (5/6)

  2.    7 (5/8) - 3 (1/2) =

    61/4 - 7/2 =

    61/4 - 14/4 =

    47/4 = 11 (3/4)

  3.    7 (1/3) - 4 (1/5) =

    22/3 - 21/5 =

    110/15 - 63/15 =

    47/15 = 3 (2/15)

  4.    9 (1/4) - 7 (3/5) =

    37/4 - 38/5 =

    185/20 - 152/20 =

    33/20 = 1 (13/20)

Number Assigned DueTopicProblem Description
4 Monday
210531 		Tuesday
210601		Fractions -- operations

  1.    5 (3/4) + 8 (1/2) =

    23/4 + 17/2 =

    23/4 + 34/4 =

    57/4

  2.    7 (5/8) - 3 (3/4) =

    61/8 - 15/4 =

    61/8 - 30/8 =

    31/8

  3.    7 (1/4) - 4 (1/8) =

    29/4 - 33/8 =

    58/8 - 33/8 =

    25/8

  4.    11 (1/2) - 7 (3/4) =

    23/2 - 31/4 =

    46/4 - 31/4 =

    15/4

Number Assigned DueTopicProblem Description
3 Wednesday
210526 		Thursday
210527		Fractions 3

  1. The game of soccer has eleven (11) players. Five (5) play forward, two (2) play mid-field, and three (3) play defense. There is also one (1) goalkeeper. What fraction of the number of players play forward?

    ANSWER: Total number of players = 11. Number of players playing forward = 5. Fraction of players playing forward = 5/11.

  2. A ballet company has 18 dancers, half of which are younger than 6 years old, while one-third of the dancers are older than 9 years old. What fraction of the dancers are in the middle range of age, that is, between 9 and 12 years of age?

    ANSWER: Total number of dancers = 18. Number of dancers less than 6 years old = 18/2 = 9. Number of dancers greater than 9 years old = 18/3 = 6. Number of dancers in between 6 and 9 years old = 18 - 9 - 6 = 3. Fraction of dancers between 6 and 9 years old = 3/18 = 1/6.

  3. Mexico has 48 active volcanoes. Six (6) of them have erupted within the past five (5) years. Ten (10) other volcanoes have erupted within the past fifty 50 years. What fraction of them have remained inactive in the past 50 years?

    ANSWER: Total number of volcanoes in Mexico = 48. Number of volcanoes that have not erupted = 48 - 6 - 10 = 32. Fraction of volcanoes that are inactive = 32/48 = 2/3.

  4. The total population of Mexico is 120 million people (1 million is equal to 1,000,000 persons) The population of its capital, Mexico City, is 20 million people. Half of the city's population live within limits of the federal district. What fraction of the Mexican nationals lives within the limits of the federal district?

    ANSWER: Total population of Mexico = 120 million. The population of Mexico City is 20 million. The population of Mexico City that lives in federal district = 10 million. The fraction of Mexican nationals that live within the federal district is = 10/120 = 1/12.

Number Assigned DueTopicProblem Description
2 Tuesday
210525 		Wednesday
210526		Fractions 2

  1. In the New Continent Section 3A class there are 24 students, 12 girls, and the rest are boys. Half of the girls are vaccinated. Only a third of the boys are vaccinated. What fraction of all the students in the class are vaccinated?

    ANSWER: Number of boys: 24 - 12 = 12 boys. Vaccinated girls = 12 / 2 = 6. Vaccinated boys = 12 / 3 = 4. Total number of vaccinated children = 6 + 4 = 10. Fraction of vaccinated children = 10/24 = 5/12.

  2. There are 80 automobiles in the Los Angeles Automobile Museum, of which 30 of them are old models, produced before 1950. The rest are newer models, produced after 1950. If a third of vintage (old) cars and a fifth of the new cars are red. What fraction of all cars in the museum is red?

    ANSWER: Old model cars: 30. New model cars: 50. Red old model cars = 30 / 3 = 10. Red new model cars = 50 / 5 = 10. Total number of red cars: 10 old + 10 new = 20 red cars. Fraction of read cars = 20 / 80 = 1/4.

  3. Seven of the twelve months of the year have 31 days, four have 30 days, and one (February) has 28 days, and 29 in a leap year, which occurs very four years (the next leap year is 2024). What fraction of the months of the year has a 30-day length?

    ANSWER: Total number of months in a year: 12. Months with 31 days: 7. Months with 30 days: 4. Fraction of months with 30 days / total of months in a year = 4/12 = 1/3.

  4. The real length of a year is not 365 days, but 365 + 1/4 days. Every how many years do we have to add another day (Februay 29) to correct the error in time incurred every year?

    ANSWER: Error in one year = 1/4. Error in four years = 4/4 = 1. Threfore, every four (4) years we need to add one year to correct the calendar.

Number Assigned DueTopicProblem Description
1 Monday
210524 		Tuesday
210525		Fractions 1

  1. The game of domino, with nine (9) numbers, has a total of 55 pieces. There are three players, and each take seven (7) pieces to start. What fraction of the total number of pieces (55) remain in the Abracadabra pile?

    ANSWER: 3 × 7 = 21 pieces removed. Pieces remaining = 55 - 21 = 34. Fraction renaining = 34/55.

  2. There are 21 countries in Mexico, Central, abd South America. Three of them (French Guiana, Guyana, and Belize) do not speak Spanish as the first language. What fraction of the countries are Spanish-speaking?

    ANSWER: Countries speaking Spanish = 21 - 3 = 18. Fraction speaking Spanish = 18/21 = 6/7.

  3. There are one-hundred (100) attractions in Puebla. The Roly Polys have already visited ten (10) of these atractions. What fraction (or percentage) remain to be visited in the future?

    ANSWER: Attractions not visited = 100 - 10 = 90. Fraction not visited = 90/100, or 9/10, or 90%.

  4. Mexico has 31 states and one federal district, making a total of 32. Seventeen (17) states have coast to either the Pacific or Atlantic oceans. What fraction of the 32 (31 states and one federal district) does not have a limit with either ocean?

    ANSWER: States with no coast = 32 - 17 = 15. Fraction with no limit to oceans = 15/32.