Three Inquisitive Kids

Problem: There are 6 identical squares fitted into the rectangle ABCD. AD = 20cm, and AB = 22cm. What is the area of each of the identical square? Key: Create small line segments that combine to add up to a side length Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: In a cat and dog pet shop there is a total of 465 animals. 2/3 of the number of cats is 20 animals less than 4/5 of the number of dogs. How many more dogs are there than cats? Key: Find equality between values, try to have as less variables as possible? Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: A train runs from City A to City B. In its first year, it took 19.5 hours to go from City A to City B. After its first improvement, its speed was raised by the original's 20%. After two more improvements, the speed was raised by the original's 25%, and then 30%. After this third improvement, how long did it take to travel on this train from City A to City B? Key: Write fractions instead of ratios Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Raleigh is going on a walk. She can go two ways: an all-flat road, or a half uphill and half downhill road. The total amount of time used for walking both ways is the same. The speed going downhill is 1.6 times the speed going on flat road. What fraction of the speed going on flat road is the speed spent going uphill? Key: Set unknown values as easy to calculate numbers, as long as they follow the requirements in the problem Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: The speed of the ship in still water was 9 kilometers per hour. Traveling from one end of the river to the other end and back, the amount of time spent traveling downstream to the amount of time spent traveling upstream is 1:2. Today the speed of the river current doubled than usual because of thunderstorm weather, and traveling from the first end to the other and back took a total of 10 hours. Key: Find water speed Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: On Rose's way to school, there are three sections: uphill, flat, and downhill. The distance of the journey being uphill to the distance of the journey being flat to the distance of the journey being downhill is 1:2:3. The time Rose spent walking each of the different sections is 4:5:6. Rose's uphill speed is 3 kilometers per hour. If the total distance from Rose's house to her school is 10 kilometers, how long did it take her in total to walk from her house to her school? Key: Identify time and/or speed PER unit Please consider subscribing, here's our website: https://inquisitivekids.github.io

1D 9/37 is changed to a decimal. What digit lies in the 2005th place to the right of the decimal point? Please consider subscribing, here's our website: https://inquisitivekids.github.io/

Problem: A and B are running on a circular track. They each start at the two opposite ends of the diameter of the track, and start running in the opposite direction. After B has ran 100 meters, the two of them meet. After they resume running, they meet at a place where A has 60 meters left to run in order to get to the point where he began. Find the circumference of these entire track. Key: Use ratios to record distance traveled by A, B, and their total both times meeting Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: A and B are running at constant speeds on a circular track. They both start at the same point, at the same time. It takes A 40 seconds to run the entire track by himself. If the two travel in opposite directions they meet after 15 seconds. So if they run in the same direction, it takes ______ seconds for B to catch up to A. Key: Create sketch of problem, set total distance as unit 1 Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Randy is taking the escalator from the subway station to the surface of the ground. If the escalator moves up one step every second, it takes Randy 20 steps to walk in order to get to the ground level. If the escalator moves up two steps every second, it takes Randy to walk 30 steps in order to get to the ground level. There are _____ steps of the escalator visible at once. Key: Use formulas and create equations out of problem Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Two ends of a river has a distance of 480 kilometers. A ship starts downstream and then makes its way back again, taking 16 hours to go downstream and 20 more hours to go upstream. What is the speed of the ship in still water? What is the speed of the water? Key: Use basic relationship between the four different speeds Please consider subscribing, here's our website: https://inquisitivekids.github.io

5th Grade MOEMS: https://www.youtube.com/watch?v=5BJ8yMLHMKo&list=PLytgs3PKtgQ617VehpDIj_G9M4j4KuwTj 4th Grade Meet-up and Catch-up problems: https://www.youtube.com/watch?v=aF2Kx8lGI04&list=PLytgs3PKtgQ6eYpTUEVd9hRuVbNcX1LII 4th Grade Catch-up Problems; https://www.youtube.com/watch?v=VqvvQmGSAa4&list=PLytgs3PKtgQ5Dov_WHxhaD94rgMxZuD0q 4th Grade Circulating Tracks: https://www.youtube.com/watch?v=POEFFEi_G2Y&list=PLytgs3PKtgQ5men5V_pyvWaV26Q67JLhx 4th Grade Trains Crossing Bridges: https://www.youtube.com/watch?v=FYCr03SaAog&list=PLytgs3PKtgQ7KUyZ18ldClzl60cOtLlu2 4th Grade Ships on Water: https://www.youtube.com/watch?v=JeG5o0k4_5U&list=PLytgs3PKtgQ4aEH-rAEb4Gaz1nhpjpLfy Please consider subscribing, here's our website: https://inquisitivekids.github.io

1B A train is exactly 12 miles from Smalltown at 7:00 PM. It travels toward Smalltown at a constant rate of 45 miles per hour. At what time does the train reach Smalltown? Please consider subscribing, here's our website: https://inquisitivekids.github.io/

1A You are given five consecutive whole numbers. One of them is 17. What is the units (ones) digit of the product of the five numbers? Please consider subscribing, here's our website: https://inquisitivekids.github.io/

5A A factory produces 10 widgets per second. How many hours does it take to produce 90,000 widgets? Please consider subscribing, here's our website: https://inquisitivekids.github.io/

Problem: 20042004200420042004…2004(two thousand four 2004s) / 45 has a remainder of ______. Key: Analyze the prime factors of 45 Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: 2008 divided by a natural number has a remainder of 10. How many different values can this natural number be? A whole number divided by another integer has as quotient of 40 and a remainder of 16. The divided, divisor, quotient, and remainder of this division equation has a sum of 933. What is this divided and divisor? Key: Create equations of what's described in the problem Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: A natural number dividing 429, 791, and 500 has the remainders a+5, 2a, and a. Find a. Key: Find different ways to change the dividends so that they have the same remainder Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: What is the remainder after dividing 2009^2009 by 9? Key: Find a pattern using tables Please consider subscribing, here's our website: https://inquisitivekids.github.io

4D A circle with a radius of 5 cm intersects a circle with radius of 3 cm is shown. The area of the shaded region is 7π/2 square cm. Find the total combined area inside the circles, but outside the shaded region. Leave your answer in terms of π. Please consider subscribing, here's our website: https://inquisitivekids.github.io/

4B When it is 7AM in New York, it is 12 noon in London. A plane leaves London at 12 noon London time and arrives in New York at 11Am New York time the same day. A second plane leaves New York at 12 noon New York time for London. What time in London is it when the second plane arrives? Assume both planes fly for the same number of hours. Please consider subscribing, here's our website: https://inquisitivekids.github.io/

4B Given the data: 3, 6, 6, 8, 10, 12. Express in lowest terms: 3 × median - mode 6 × mean Please consider subscribing, here's our website: https://inquisitivekids.github.io/

Problem: The product of 11 consecutive two-digit integers is divisible by 343, with the last four digits being 0. Find the average of these 11 consecutive two-digit integers. Key: Analyze the prime factors of the product of these 11 numbers Please consider subscribing, here's our website: https://inquisitivekids.github.io

2E Find the whole number value of √(1 + 3 + 5 + · · · · · + 95 + 97 + 99) Please consider subscribing, here's our website: https://inquisitivekids.github.io/

Problem: After taking the ones' and hundreds' digit of a three-digit-number and swapping their place values, you get a second three-digit number. The product of these two three-digit-numbers is 55872. What is the sum of these two three-digit-numbers? Key: Analyze the prime factors of 55872 Please consider subscribing, here's our website: https://inquisitivekids.github.io