• • • • HERE IS A fun math party trick. Tell someone to pick a number between 1 and 1,000. Your goal is to guess the number. For each guess you make, your friend tells you one of three things: you guessed the number, your guess was high, or your guess was low. Amazingly, if you guess properly, it is possible to get to any number your friend chooses in 10 or fewer guesses.

Click here to find out how to contribute! Number Order (Sheena Florey) PDF; Compare and Order (Emma Mulvey); Superhero 0-20 Ordering (Claire Hodgkins); Which order? (Helen Barrett) PDF. Greater Than or Less Than (Ian Mason) Sheet 1 PDF - Sheet 2 PDF; Halfway between etc. (Carole Pointer). Corbettmaths - A video that explains how to find the midpoint between two numbers. A point that is exactly in the middle between two other points is known as halfway point. It also known as the midpoint. The halfway point between two numbers is the.

Janmoni 2010 Mp3 Songs Free Download. The trick to this is to constantly be cutting the amount of numbers you have to consider in half. This process demonstrates binary search, a foundational concept in technology. But more on that later. How to guess the number in 10 steps or under Suppose your friend chooses the number 334. Your First Guess: In this game, your first guess should always be 500, halfway between 1 and 1000. So, you guess 500, and your friend tells you that their number is lower. Now you know that the number is somewhere between 1 and 500, and you have knocked out everything between 500 and 1000.

You have, in one guess, already gotten rid of half the possibilities. Your Second Guess:You know that the number is between 1 and 500, so you again take the halfway point between these two, and you guess 250. Now your friend tells you your guess is too low, so you know the number is somewhere between 250 and 500. In just two steps, you have knocked out 750 numbers, and are just looking at about 250 numbers, a quarter of our original set. Keep Doing This: Your next guess is halfway between 250 and 500, or 375. Your friend tells you this is too high, so now you know that the number is between 250 and 375. You have reduced your range to about 125 possibilities.

The fourth guess is the midpoint of 250 and 375: Unfortunately, this is a decimal number – 312.5, but we can simply round up to 313. This guess is too low, but we have again eliminated half the remaining numbers, leaving us with the 61 numbers between 313 and 375. Your fifth guess is halfway between 313 and 375: 344. Again, this is too high, but you’re down to the 30 numbers between 313 and 344.

Your sixth guess is halfway between 313 and 344: 328.5, rounded up to 329. You know the number is between 329 and 344, leaving just 14 possibilities. Your seventh guess is halfway between 329 and 344: 336.5, rounded up to 337. Too high, but you’re getting close — only the seven numbers between 329 and 227 are left. Your eighth guess is halfway between 329 and 337: 333.

Juuust too low. But now there are just three remaining possibilities — you know the number is between 333 and 337, so it must be one of 334, 335, or 336. Your ninth guess is the middle option of 335, and you are told that your guess is too high.