Q: Lily bought a Russian nesting doll as a souvenir. The biggest doll is 243 cm tall, and each doll is 2/3rd the size of the doll that contains it. How big is the 6th biggest doll?
A: First find the size of the second - biggest doll: 243 cm * 2 / 3 = 162 cm. Then find the size of the third - biggest doll: 162 cm * 2 / 3 = 108 cm. Then find the size of the fourth - biggest doll: 108 cm * 2 / 3 = 72 cm. Then find the size of the fifth - biggest doll: 72 cm * 2 / 3 = 48 cm. Then find the size of the sixth - biggest doll: 48 cm * 2 / 3 = 32 cm. The answer is 32.
Question: A bar of chocolate is made up of 60 pieces. If Michael takes half of the bar, Paige takes half of the remainder, and Mandy is left with what’s left of the chocolate bar, how many pieces of chocolate will Mandy get?
Answer: Michael takes half which is 60 pieces / 2 = 30 pieces. Paige then takes half of this which gives her 30 pieces / 2 = 15 pieces. Mandy is therefore left with 60 pieces – 30 pieces – 15 pieces = 15 pieces. The answer is 15.
[Question]There are six peregrine falcons and 40 pigeons nesting in Malcolm's skyscraper. Each pigeon has 6 chicks. If the peregrines eat 30% of the pigeons, how many pigeons are left?
[Answer]First find the total number of chicks: 40 pigeons * 6 chicks / pigeon = 240 chicks. Then add that to the number of adult pigeons to find the total number of pigeons: 240 chicks + 40 pigeons = 280 pigeons. Then multiply that number by 30% to find the number of pigeons that were eaten: 280 pigeons * 30% = 84 pigeons. Then subtract that number from the total number of pigeons to find the number that are left: 280 pigeons - 84 pigeons = 196 pigeons. The answer is 196.
Q: Amaya is watching a movie that she finds kind of boring, so she keeps tuning out and having to rewind it to catch what she missed. She watches 35 minutes before she realizes she needs to rewind the movie to catch something she missed, a process that adds 5 minutes to her total viewing time. She watches the movie for another 45 minutes but has to rewind it again, adding 15 minutes to her total time. Finally, she watches the last 20 minutes uninterrupted. If she added up the duration of the film plus all the times she had to rewind and re-watch parts, how many minutes did it take her to watch the movie?
A: Amaya watches the movie without rewinding for 20 minutes + 15 minutes + 45 minutes + 20 minutes = 100 minutes duration of the movie. However, Amaya also spent extra time re - watching parts she rewound, for 5 minutes + 15 minutes = 20 minutes. In all, Amaya spent 100 minutes + 20 minutes = 120 minutes watching the movie. The answer is 120.
Question: There are 70 cookies in a jar. If there are only 28 cookies left after a week, and Paul took out the same amount each day, how many cookies did he take out in four days?
Answer: Paul took out a total of 70 - 28 = 42 cookies in a week. Paul took out 42 / 7 = 6 cookies out of the jar each day. Over four days, Paul took out 6 * 4 = 24 cookies from the jar. The answer is 24.
Q: Abigail built 10 fences. Each fence took her 30 minutes to build. If she builds fences for the next 8 hours, how many fences would she have built in total?
A:
8 * 60 = 480 minutes are in the next 8 hours. Abigail builds 480 / 30 = 16 fences. Abigail will have built 10 + 16 = 26 fences in total. The answer is 26.