Three Inquisitive Kids

Problem: As shown, in rectangle ABCD, BE:EC=2:3, DF:FC=1:2, the area of triangle DGF is 2 cm squared. What is the area of rectangle ABCD? Key: Use ratios and relationships given by the side lengths Please consider subscribing, here's our website: https://inquisitivekids.github.io

5th Grade Dovetail Theorem: https://www.youtube.com/watch?v=5BJ8yMLHMKo&list=PLytgs3PKtgQ617VehpDIj_G9M4j4KuwTj 4th Grade Dovetail Theorem: https://www.youtube.com/watch?v=HDRFJElywAM Please consider subscribing, here's our website: https://inquisitivekids.github.io

Watch till the end of this video to learn more about the area of trapezoids - what is the formula, and why is this formula true? Please consider subscribing, and here's the link to our website: https://inquisitivekids.github.io/

Each of eight traffic lights on Main Street shows green for 2 minutes, then switches to other colors. The traffic lights turn green 10 seconds apart, from the first light to the eighth light. From the time that the first light turns green until it switches to another color, for how many seconds will all eight lights show green at the same time? Please consider subscribing, here's our website: https://inquisitivekids.github.io/

Problem: Yasmin is traveling from A to B. After a while, Xavier needs her for something and from A starts trying to catch up to her. If he rides his bike, going 15 kilometers per hour, it takes 3 hours to catch up; If he rides a motorcycle, going 35 kilometers per hour, it takes 1 hour to catch up. If he drives a car, going 45 kilometers per hour, how many minutes does it take for him to catch up? Key: Identify the cattle and the grass Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: An art show is open at 9:00 AM, but by the time the gates opened there was already a line of people lined up, waiting to go in. Every minute the same amount of people add to the line. If 3 entrances are opened, then the line has completely cleared by 9:09. If 5 entrances are opened then the line has completely cleared by 9:05. Find the time when the first person in the line arrived at the gates. Key: Identify cattle and grass Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: A pasture grows new grass at a constant speed. 14 cows can finish the entire pasture by 30 days, and 70 sheep can finish the entire pasture by 16 days. The amount of grass a cow consumes per day is four times as much as the amount of grass a sheep consumes per day. How many days will 17 cows and 20 sheep finish the entire pasture? Key: Convert multiple animals into one animal Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: The grass on a pasture grows with a constant speed. It can be completely eaten by 12 cows by 25 days. It can also be completely eaten by 24 cows by 10 days. How many cows are needed in order to finish the entire pasture by 20 days? Key: Follow the steps of cattle grazing problems Cattle Grazing Basics: https://www.youtube.com/watch?v=5BJ8yMLHMKo&list=PLytgs3PKtgQ617VehpDIj_G9M4j4KuwTj Please consider subscribing, here's our website: https://inquisitivekids.github.io

Terry walks 4/5 of the way from school to home in exactly 20 minutes. How long does it take for her to walk the rest of the way home? Please consider subscribing, here's our website: https://inquisitivekids.github.io/

Problem: There two identical warehouses whose contents need to be moved. Truck A needs 6 hours to finish moving everything from one warehouse; Truck B needs 7 hours to move everything from one warehouse; Truck C needs 14 hours to move everything from one warehouse. Trucks A and B each start moving one warehouse, while Truck C first helps Truck A and then helps Truck B. The two warehouses get completed at the same time. Truck C helped Truck A for _____ hours and helped Truck B for ______ hours. Key: Find the TOTAL result, TOTAL efficiency, TOTAL time Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: The hoses 1, 2, 3, all spray water into a pool. If only hoses 1 and 2 are opened, it takes 5 hours to fill in the entire pool; If only hoses 2 and 3 are opened, it takes 4 hours to fill in the entire pool. If hose 2 is opened for 6 hours and then closed, and hoses 1 and 3 are opened at the same time, it takes them 2 hours to fill in the entire pool. How many hours does it take for hose 2 itself to fill the entire pool? Key: Eliminate variables, set 'unit 1' value Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: If A worked on a project, it would take 12 days to complete. If B worked on the same project, it would take 9 days to complete. If A worked on it for a certain amount of days, and then B worked on it for another whole number of days, using a total of 10 days, how many days did A work on it? Key: Systems of equations, set '1 whole' value Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Mr. Smith and Mr. Johnson are working together to build a small treehouse. Working together, they can finish the treehouse in 6 days. If Mr. Smith worked on it for 5 days alone, then Mr. Johnson taking over for 3 more days, they would complete 7/10 of the entire treehouse. If they each worked on the treehouse by themselves, how long will it take each of them to complete the treehouse? Key: Set the '1 whole' value Please consider subscribing, here's our website: https://inquisitivekids.github.io

Please consider subscribing, here's the link to our website: https://inquisitivekids.github.io

Problem: A cup is filled to the brim with pure lemonade. After Ben drank 1/3 of the lemonade, he poured water into the mixture, causing the cup to be filled to the brim again. He keeps doing this, and stops after the fourth time. What fraction of the original amount of pure lemonade did he drink? Key: Split entire process into more calculatable sections Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: The original number of male athletes to female athletes at an event was 19:12. This year, the judges decided to add some more female events, causing the number male athletes to female athletes to become 20:13. And then, they had some more ideas for male events and added that, too. The ratio of male athletes to female athletes became 30:19. The number of male athletes who joined after the new events was 15 athletes more than the number of female athletes who joined after the new events. Now, what is the total amount of athletes? Key: Find equivalent ratios of given ones so that the units make sense Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Alice and Bertha wants to buy a good from the mall. Alice has 40 less dollars than the sales price, and Bertha has 1/4 of the money less than the sales price. After bargaining with a worker there, they were able to buy it at 90% of the sales price. After using both of their money, they had 28 dollars left. What was the sales price of this item? Key: Create a diagram to represent the situation Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: A truck is supposed to move a batch of rice sacks. The first day, it moves 60 more sacks than 1/5 of the entire batch. The second day, it moves 60 less sacks than 1/4 of the entire batch. 220 sacks are left. How many rice sacks are there, in all? Key 1: Find the total number of units and correspondence between one unit and the number of sacks it represents Key 2: Split total into multiple different sections Please consider subscribing, here's our website: https://inquisitivekids.github.io

Please consider subscribing, here's our website: https://inquisitivekids.github.io

Key: Find pattern Please consider subscribing, here's our website: https://inquisitivekids.github.io

Key: Substitute a part that's always there with a variable Please consider subscribing, here's our website: https://inquisitivekids.github.io

Key: Turn everything into improper/proper fractions, division into multiplication Please consider subscribing, here's our website: https://inquisitivekids.github.io

Key: Distributive property, factor common factors Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Out of the four people A, B, C, and D, any time you select 3 people, find their age average, and then add it to the age of the remaining person, you get the sums 29, 23, 21, and 17. What is the difference of the age of the oldest person and the age of the youngest person? Key: Create equations out of descripts given in problem, eliminate as much variables as possible Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Figures 1 and 2 are made up of 8 identical rectangles. Figure 1 is a square, while Figure 2 is a rectangle. The center of Figure 1 has a square hole that has a side length of 2 cm. What is the length and width of each of the 8 identical rectangles? Key: Systems of equations Please consider subscribing, here's our website: https://inquisitivekids.github.io