Three Inquisitive Kids

Problem: The sum of 2001 consecutive integers can be rewritten as a x b x c x d, with each of a, b, c, and d as prime numbers. What is the least possible sum of a + b + c + d? Key: Represent numbers with as less variables as possible Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: As shown, there are three circular tracks, in which all of their circumferences are 1 kilometer. Each of the runners A, B, and C begin on the overlapping point O and go on three different tracks. Their speeds are respectively 4/3 kilometers per hour, 6/5 kilometers per hour, and 8/9 kilometers per hour. The first time they all meet each other again, how many kilometers did they run altogether? Key: Find the hidden question in the problem. Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: The two four-digit numbers ACCC and CCCB satisfy ACCC/CCCB = 2/5. What is the value of A x B x C? Key: Rewrite numbers into expanded form Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Solve the following set of equations: 9a + 6b + 4c = 80; a + b + c = 15 Solving Indefinite Equations: https://www.youtube.com/watch?v=VivivkHB7ZI Key: Minimize variables and look at multiples of each term in the equation Please consider subscribing, here's our website: https://inquisitivekids.github.io

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

Key: Factor out shared factors using the distributive property Please consider subscribing, here's our website: https://inquisitivekids.github.io

Key: Apply the square difference formula Please consider subscribing, here's our website: https://inquisitivekids.github.io

Divisibility Rules: https://www.youtube.com/watch?v=bw86BjSgrII&t=21s Key: Simplifying fractions 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: After a train departed from its starting point for 1 hour, it stopped unexpectedly for 0.5 of an hour because of unknown reasons. After that, it continued going at 3/4 of its original speed and was late 1.5 of an hour at its destination. If the train departed from its starting point for 1 hour and 90 more kilometers before stopping for 0.5 of an hour, and then continuing again at 3/4 of its original speed, it will be 1 hour late at its destination. What is the total distance from its starting point to ending point of the journey? Key: Compare differences between the 3 scenarios Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Two classes A and B are going on a field trip, but there is only one bus that can carry one class at a time. The walking speed of class A is 3 kilometers per hour. The walking speed of class B is 4 kilometers per hour. The speed of the bus is 48 kilometers per hour. If the two classes were to arrive at their destination in the shortest amount of time possible, what is the ratio of the amount of distance class A walked compared to the amount of distance class B walked? Key: Compare both speeds of A and B to the bus speed. And then find ratio of speeds A to B. Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Two classes are going on a field trip. The school only has one bus that's big enough to hold one class, so as the bus takes one class the other one has to walk. And then, the bus turns around to pick the walking class up. The two classes walk 4 kilometers per hour. When the bus is carrying a class, its speed is 40 kilometers per hour. When the bus is not carrying a class, its speed is 50 kilometers per hour. If the two classes wants to be at their destination in the shortest time possible, then what fraction of the total distance does the first class walk? Key: 1) Create a sketch; 2) Use speed ratios Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Two 6th grade classes A and B are going on a field trip, but the school only has one bus enough to hold one class. If the walking speed of both classes is 3 kilometers per hour, and the speed of the bus is 50 kilometers per hour, and the goal is to deliver BOTH classes to the destination by the least possible amount of time possible, what is the ratio between the amount of distance that class A will have to walk to the distance class B will have to walk? What fraction of the entire trip will class A walk? Key: 1) Create the sketch; 2) Use speed ratios

Problem: A number is less than 200. Divided by 11 it has a remainder of 8, and divided by 13 it has a remainder of 10. What is this number? Key: Write an equation Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Find the remainder of (2^2008 + 2008^2) divided by 7? Key: Find the pattern Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: The remainders resulting after a whole number dividing 70, 110, 160, adds up to 50. What is this whole number? Key: Sum of remainders = remainder of sum Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Two natural numbers ab and ba each divided by 7 has a remainder of 1. If a is greater than b, find ab multiplied by ba Key: Expand the value of ab and ba Please consider subscribing, here's our website: https://inquisitivekids.github.io

Remainder Lessons: https://www.youtube.com/channel/UCOQ0vlqJDLEbF5I6RG5igZw/search?query=remainder Please consider subscribing, here's our website: https://inquisitivekids.github.io

What is the value of 5 x 4 x 5 x 4 x 5? Please consider subscribing, here's our website: https://inquisitivekids.github.io/

Feel free to comment down below about any other solutions you have to solve this problem! ;D Please consider subscribing, here's our website: https://inquisitivekids.github.io

The sum of two consecutive multiples of 7 is 49. What is the greater of these numbers? 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 parallelograms - 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/

Problem: In triangle ABC, DC:DB=EA:EC=FB:FA=2:3. Find the ratio of the area of triangle GHI to the area of the triangle ABC. Key: Find the number of units of each region and then compare their units inside of finding their actual area Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: In triangle ABC, triangle AEO has an area of 1. Triangle ABO has an area of 2. Triangle BOD has an area of 3. What is the area of quadrilateral DCEO? Key: Use the dovetail theorem to write down 2 equations (there are two variables) Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: In trapezoid ABCD, AD:BE=4:3, BE:EC=2:3. The area of triangle BOE is 10 less than the area of triangle AOD. What is the total area of trapezoid ABCD. Key: Draw an extra line so you can apply the butterfly model/dovetail theorem Please consider subscribing, here's our website: https://inquisitivekids.github.io