Three Inquisitive Kids

Problem: (2 2/7 + 3 1/9 + 2 2/11 + 3 9/13) / (4/7 + 7/9 + 6/11 + 12/13) Key: Improper fractions Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: (5 2/7 + 4 1/9) / (1 1/9 + 1 3/7) Key: Distributive property Please consider subscribing, here's our website: https://inquisitivekids.github.io

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Mary and her teacher went to explore a cave, and saw four equations written there on the wall: 8 x 8 = 8 9 x 9 x 9 = 5 9 x 3 = 3 (93 + 8) x 7 = 837 Her teacher said that their numbers may look like our numbers, but its values are different from ours. Their operations and symbols are the same as ours, though. For the people that lived in this cave, what is 89 x 57? Please consider subscribing, here's our website: https://inquisitivekids.github.io

If A @ B = AB + A + B, then what does 1 @ 9 @ 9 @ 9 @ · · · · · @ 9 @ 9 (10 @)s equal? Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: The three elementary classes A, B, and C are going on a field trip. The bus they are taking can only take one class at a time, meaning each class will have to hike a certain amount of distance. First, Class A takes a bus and stops before reaching the destination. The bus turns around and goes back to Classes B and C, and picks up Class B as Classes A and C continue to walk. Then the bus drops Class B off before reaching the destination and turns around to pick up Class C. By the time the bus drops Class C off, all three classes have reached the destination. The walking speed of the classes is 5 kilometers per hour, and the driving speed of the bus is 55 kilometers per hour. The distance from the starting point to their destination is 8 kilometers. How many hours did they take to travel? Key: Use ratios and a sketch Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Class 1 and Class 2 are going on a field trip. Class 1 travels 4 kilometers per hour and Class 2 travels 3 kilometers per hour. The school has also provided a bus, but can only carry one class at a time. The bus's speed is 48 kilometers per hour. If the goal is to get both classes to the destination in the shortest time possible, what is the ratio between the distance that Class 1 has to walk compared to Class 2? Key: Find bridge between Class 1 and Class 2 to create proper distance ratio Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Every equal number of minutes a new tram travels from the tram station. A and B are walking the same direction along the same path as the trams. A sees a tram coming his way every 10 minutes, while B sees a tram coming his way every 15 minutes. If A travels at a speed three times that of B, then how many minutes is in between the departure of each tram from the station? Key: Set functions Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: At the subway station, there is an escalator that moves with a constant speed. If Nadia moves up one step per second, she needs to take twenty steps down to get on the lower level again. If she moves up two steps per second, she needs to take 30 steps down to get on the lower level again. From the top of the escalator to the bottom, how many steps are there? Key: Write functions Please consider subscribing, here's our website: https://inquisitivekids.github.io

5B Find the least positive integer A so that the product of 45 and A is a perfect square number. Please consider subscribing, here's our website: https://inquisitivekids.github.io

4A Some students are in a line. Abby is in the center of the line. Sara is 3 places in front of her, Eli is 4 places behind Sara, and Kayla is 2 places in front of Eli. Kayla is the third person in line. How many students are in the line? Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Every time they go to McDonald's, A consumes 5 happy meals, B consumes 3 happy meals, and Z consumes 1/3 of a happy meal. This year, the trio went to McDonald's a total of 100 times and consumed a total of 100 happy meals. How many happy meals this year did each A, B, and C consume? Key: Use the skills you know from systems of equations! Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Of the transportation available, there are large buses and small buses. Large buses each can carry 48 passengers. Small buses can each carry 30 passengers. If there are 306 passengers, and large buses and small buses are required to seat the passengers with an extra seat or left out passengers, then how many large and small buses are there? Key: Simplify your equation Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: If you multiply the month of Lisa's birthday by 30 and multiply the day of Lisa's birthday by 11 and add them together, you get a sum of 350. What is the date of Lisa's birthday? Key: Set variables and create a set of solutions. Which one makes most sense? Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Solve for the solutions of the following three indefinite equations. (1) 4x+5y=100 (2) 4x+5y=98 (3) 4x+5y=99 Key: Look at the coefficient's multiples/factors, remainders, and end digit (works best for 5) Please consider subscribing, here's our website: https://inquisitivekids.github.io

Watch this video to find out about another type of functions: indefinite equations! Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: There are four squares as shown, each with their area written below them. Would the sum of the black areas be greater, or would the sum of the white areas be greater? Why? Key: Replace actual problem with smaller, simpler numbers Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Compare the values of 111/1111 and 1111/11111. Which one is greater, A or B? Key: Compare fractions by finding their difference with 1. Analyze the fraction to see the 'actual' part that's needed to compare. Please consider subscribing, here's our website: https//inquisitivekids.github.io

Problem: A. Use the less than sign to order the following fractions: 10/17, 12/19, 15/23, 20/33, 60/91 B. Out of the following fractions, 19981998/19991999, 19991999/20002000, 20002000/19991999, which one is the smallest? Key: Compare fractions with common numerator/denominators. Use logic and basic understanding of fractions. Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: Add lines on top of digits so the following inequality is true. Key: Repeating decimals are decimals that go on and on forever with a patter in their digits. How can you compare them? Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: M and N do not equal 0. 2007 to the Mth power plus 2008 to the Nth power is divisible by 7. What is the least possible value of M + N? Key: Find remainder patterns Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: The result of 2009^2009 has a digit sum of A. A has a digit sum of B. B has a digit sum of C. C has a digit sum of D. D = ______. Key: Approximate values Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: What is the remainder you get after dividing 143^89 by 7? Key: Find pattern Please consider subscribing, here's our website: https://inquisitivekids.github.io

Problem: What is the units digit of the sum of 1^2007 + 2^2007 + 3^2007 +... 2006^2007 Key: Find a pattern using tables Working With Remainders (Basics): https://youtu.be/lGTAeXJ0Q8A Divisibility Rules: https://youtu.be/bw86BjSgrII Please consider subscribing, here's our website: https://inquisitivekids.github.io

Henry, Jack, Morgan, Jennet, and Brayden is lining up in a very neat single-file line. (1) How many different ways can they line up? (2) If Brayden has to go in the middle, how many different ways can they line up? (3) If Brayden can't be in the middle, how many different ways can they line up? Please consider subscribing, here's our website: https://inquisitivekids.github.io