مهارات التعلم الذاتي
Problem Solving الأسبوع السادس/مسائل مطلوب حلها 1 In the "magic-square" below, five more numbers can be placed in the boxes so that the sum of the three numbers in each row, in each column, and in each diagonal is always the same. What value should X have? Explain your answer in detail. 15 35 50 25 X 2 In the addition problem below, different letters represent different digits. It is also given that N is 6 and T is greater than 1. What four-digit number does T H I S represent? Explain your answer in detail. T H I S + I S K E E N 3 A study of 50 high school students showed that exactly 25 of them took Biology, exactly 20 of them took Chemistry, and exactly 12 of them took both subjects. How many of the 50 students took neither Biology nor Chemistry? 4 As everyone leaves the table after lunch, Steven chuckles and says, "I can't believe we're all brothers and sisters. We sure have different interests! Everyone laughs and agrees. Their favorite sports are football, surfing, skateboarding, softball, ice skating, and swimming; and each person participates in a different sport. Arnie, Renee, and Jack have an excellent sense of balance. Neither Jack nor Renee likes contact sports. Enid and Arnie love the water, but Enid is allergic to salt water. Jack likes cold weather sports best. Renee wears kneepads, and Paula always wears her cap backwards. Can you match each person with a sport? Problem Solving Discuss the following problems with your students الأسبوع السابع/مسائل للمناقشة 1 Using seven distinct straight lines, what is the maximum number of points of intersection ? 2 Find the value of x and y in the equation below, where both variables are positive integers. 3 Find the value of 1 - 2 + 3 - 4 + 5 - 6 + ... - 100. 4 One day Adam, Jason and Mark went fishing. When they got home, Adam took 1/3 of the fish and left while the other two were unpacking. Jason and Mark did not know that Adam took his fish. When Jason was leaving, Mark told him to take 1/3 of the fish in the box. After getting settled away, Mark then looked in the fish box and counted 40 fish. He suspected that something was wrong so he called Adam's house to find out if Adam had taken any fish. Adam's wife said that he had taken 1/3 of the fish but she did not know how many that was. After thinking about the situation for a while, Mark then called Jason on the phone. Mark told Jason that some of the 40 remaining fish were his and that he could pick them up later if he could solve the problem and determine the number of fish that they should have each equally received. How many fish should each guy have received Problem Solving الأسبوع السابع/مسائل مطلوب حلها 1 The first four triangular numbers are 1, 3, 6 and 10. What is the 10th triangular number? 2 A piece of wire 52cm long is cut into two parts. Each part is then bent to form a square. The total area of the two squares is 97 cm2. How much longer is a side of the larger square than a side of the smaller square ? (Consider only integers for the lengths of the sides.) 3 One night Sarah spent 1/3 of her money on dinner and then 1/4 of the remaining money on dessert. She then had just enough left so that she could buy two $3 tickets for the hockey game. How much money did Sarah have at the start of the night ? 4 An entry code for the computer lab contains four digits. If the sum of these digits is to be 35 or greater, how many possible codes could there be ?
Problem Solving
الأسبوع السادس/مسائل مطلوب حلها
1
In the "magic-square" below, five more numbers can be placed in the boxes so that the sum of the three numbers in each row, in each column, and in each diagonal is always the same. What value should X have? Explain your answer in detail.
15
35
50
25
X
2
In the addition problem below, different letters represent different digits. It is also given that N is 6 and T is greater than 1. What four-digit number does T H I S represent? Explain your answer in detail.
T H I S + I S K E E N
3
A study of 50 high school students showed that exactly 25 of them took Biology, exactly 20 of them took Chemistry, and exactly 12 of them took both subjects. How many of the 50 students took neither Biology nor Chemistry?
4
As everyone leaves the table after lunch, Steven chuckles and says, "I can't believe we're all brothers and sisters. We sure have different interests! Everyone laughs and agrees. Their favorite sports are football, surfing, skateboarding, softball, ice skating, and swimming; and each person participates in a different sport. Arnie, Renee, and Jack have an excellent sense of balance. Neither Jack nor Renee likes contact sports. Enid and Arnie love the water, but Enid is allergic to salt water. Jack likes cold weather sports best. Renee wears kneepads, and Paula always wears her cap backwards. Can you match each person with a sport?
Discuss the following problems with your students
الأسبوع السابع/مسائل للمناقشة
Using seven distinct straight lines, what is the maximum number of points of intersection ?
Find the value of x and y in the equation below, where both variables are positive integers.
Find the value of 1 - 2 + 3 - 4 + 5 - 6 + ... - 100.
One day Adam, Jason and Mark went fishing. When they got home, Adam took 1/3 of the fish and left while the other two were unpacking. Jason and Mark did not know that Adam took his fish. When Jason was leaving, Mark told him to take 1/3 of the fish in the box. After getting settled away, Mark then looked in the fish box and counted 40 fish. He suspected that something was wrong so he called Adam's house to find out if Adam had taken any fish. Adam's wife said that he had taken 1/3 of the fish but she did not know how many that was. After thinking about the situation for a while, Mark then called Jason on the phone. Mark told Jason that some of the 40 remaining fish were his and that he could pick them up later if he could solve the problem and determine the number of fish that they should have each equally received.
How many fish should each guy have received
الأسبوع السابع/مسائل مطلوب حلها
The first four triangular numbers are 1, 3, 6 and 10.
What is the 10th triangular number?
A piece of wire 52cm long is cut into two parts. Each part is then bent to form a square. The total area of the two squares is 97 cm2. How much longer is a side of the larger square than a side of the smaller square ? (Consider only integers for the lengths of the sides.)
One night Sarah spent 1/3 of her money on dinner and then 1/4 of the remaining money on dessert. She then had just enough left so that she could buy two $3 tickets for the hockey game. How much money did Sarah have at the start of the night ?
An entry code for the computer lab contains four digits. If the sum of these digits is to be 35 or greater, how many possible codes could there be ?