Elem. Problem Solving Skills Level 4

For practicing some Primary math skills, there is nothing more effective than a pencil and paper. Our free Math Worksheets for grades 3-6 cover all elementary school math skills from counting and basic numeracy through more advanced topics such as fractions and decimals.

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Mastering the basic knowledge of hypothesis-based problem solving will let you proceed to more advanced courses on solving business problems. The Talent academy Level 4 of Elementry Problem solving is advanced and recommended for advanced group aspirants.

The disney golf classic starts with 64 golfers. the golfers from pairs and each pair plays a match. the losers drop out and the winners of each pair then from new pairs and play again. then those winners form pairs and play. this continues until there is one winner. a. In how many matches must the winner play? b. How many matches are played by all the golfers, to determine the winner? Answer :6,63 Solution : 64 Play, then the 32 winners of those matches play, then the 16 winner of those matches play, then the 8 winners of those matches play, then the 4 winners of those matches play and finally the last two winners play. this is 6 rounds of golf, and the winner must play in all of those. since there are 63 losers, and each had to play a match to lose , there are 63 matches altogether. A number has 4 digits. No digits in the number are repeated. The digit in the tens place is three times the digit in the thousands place. The number is odd The sum of the digits in the number is 27. what is the number? Answer :3,897 Solution : There are several clues that make this guess-check-revise problem a little friendlier. since the sum of the four digits is 27, the average size of the digits must be fairly larger. however, the thousands digit has to be either a 1,2 or 3, while the corresponding tens digit is a 3,6, or 9. pick the 3 to begin the search, using 9 for the tens digit, and make the last digit a 7 since that's the largest odd digit not already used. this gives a sum of 27, as require , if 8 is the hundred digit. What is the mystery number x? . x has 3 digits. . The tens digit is half the hundreds digits . The number is odd. . The sum of the digits is 9. Answer :423 Expected Answer : "423" Solution : Guess-check-revise is one way to solve the problem. A starting hint is that since the sum of the digits is nine, their average value is 3 so they are all small number.

The sum of two whole numbers is 72 . Their difference is 48. What are two numbers? Answer :60 and 12 Solution : students may use "guess and check" by listing the pairs of addend whose sum is 72; their guessing should get more precise as they get closer to finding the correct pair. they might get a hint as to where to start by noticing that the difference being 48 means that one of the numbers is above 50 Help Text : Write your answer in this form: 16,14 In your class, 9 students received an "excellent" on a recent project. Your teacher would like to buy pencils for those 9 students. The school store sell them for 10 cents each or 3 for 25 cents. What is the least amount of money your teacher will have to spend in order to buy one pencil for each of the 9 students? Answer :75$ Solution : Three for 25 means that nine would cost 75 means that nine would cost75; 10 each means that nine would cost 90 each means that nine would cost 90. Help Text : Do not mention cents in the answer Sabrina used a calculator and started adding the whole numbers in oeder: 1+2+3+4+5+... What is the last numbers she would add that would get the sum on her calculator over 1,000? Answer:____ Answer :45 Solution : Students will likely use a calculator to solve this problem. A few might notice that the sum of the first n counting numbers is nx(n+1)÷2. therefore the problem becoming finding the first or smallest n such that nx(n+1)÷2≥ 1000 Maria, COlleen, Patsy, and kenyada are 8,9,10 and 11 years old. Maria is older than Patsy and younger than Kenyada. Colleen is younger than Marie and older than Patsy. what is each grils age ? Answers: Maria: ____ years old. Pastsy: ____ years old. Colleen: ____ years old. Kenyada:____years old. Answer :10,8,9,11 Solution : Students might make a list, or they may make name cards and act the problem out.

Problem Solving tasks can be combined with the other Core Skills Units: Communication, Numeracy, Information and Communication Technology, and working with Others. If you adopt this approach, records must be kept for each Unit. The approach used by Talent acdemy helps you to break the problems into mini-tasks that help to solve the problems effectively and efficiently. But the major skill set required is effective information assessment, we ensure to get students on board with the assessment to know their back falls and then work on it.

Exercises

- Exercise 4.1
- Exercise 4.2
- Exercise 4.3
- Exercise 4.4
- Exercise 4.5
- Exercise 4.6
- Exercise 4.7
- Exercise 4.8
- Exercise 4.9
- Exercise 4.10
- Exercise 4.11
- Exercise 4.12
- Exercise 4.13
- Exercise 4.14
- Exercise 4.15
- Exercise 4.16
- Exercise 4.17
- Exercise 4.18
- Exercise 4.19
- Exercise 4.20
- Exercise 4.21
- Exercise 4.22
- Exercise 4.23
- Exercise 4.24
- Exercise 4.25