Introduction…. Our objectives…. Go To Math Challenges Math Challenges for Second Year Students!!!

In this part of our blogsite you will find yourselves solving math challenges one after another!!!! Hence you will learn more and more about math and it’s mysteries. HOME

To enhance and amplify the abilities of the students about math To have fun answering math challenges To apply their mathematical learning and such HOME

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Challenges #1 Challenges #2 Challenges #3 Challenges #4 Challenges #5 Challenges #6 Challenges #7 Challenges #8 Challenges #9 Challenges #10 Challenges #11 Challenges #12 Challenges #13 Challenges #14 Challenges #15 Challenges #16 Challenges #17 Challenges #18 Challenges #19 Challenges #20 ANSWERSANSWERS HOMEHOME

CHALLENGE #1 4 2X+Y = 256, 4 x+2y = What is the value of y? BACK

CHALLENGE #2 A number is called “CUTE” if it has exactly four positive integer divisor. What pecent of the first 25 positive integer are cute? BACK

CHALLENGE #3 If 1 * 3 = 5, 6 * 9 = 21 and 8 * 2 = 18. Find the value of 11 * 20. BACK

CHALLENGE #4 A man and his grandson have the same birthday. For six consecutive birthdays, the man is an integral number of times as old as his grandson. How old is the man? BACK

CHALLENGE #5 Divide the number into three parts such that half of the first part, a third of the second part and a quarter of the third part are all equal. How much is each part? BACK

CHALLENGE #6 A man paces off thirty steps east, followed by ten steps north, ten steps east, and twenty steps north. How far is he from his starting point? BACK

CHALLENGE #7 What is the value of x 3 +1/x 3 if (x+1/x) 2 =3? BACK

CHALLENGE #8 If ab=2, bc=4 and ac=8, find abc. BACK

CHALLENGE #9 In a number of cows and chickens, the number of legs is 14 more than twice the number of heads. How much can you find about the number of cows and chickens involved? BACK

CHALLENGE #10 Express in simplest form the quotient x+x 2 +x 3 +x 4 +x 5 +x 6 +x 7 x 3 +x 4 +x 5 +x 6 +x 7 +x 8 +x 9 BACK

CHALLENGE #11 If x 4 +y 4 = 2 and x 8 +y 8 = 3, what is the value of x 16 +y 16 ? BACK

CHALLENGE #12 The sum of the squares of two numbers is 225 and the square of their sum is 441. what is reciprocal of their product? BACK

CHALLENGE #13 A rectangular pool is 50% longer than it is wide. It is surrounded by a path 1 meter wide. If the area of the path is 44 sq. meters, what is the area of the pool? BACK

CHALLENGE #14 How many guests were present at a Chinese dinner if every two guests shared a bowl for rice, every three guests shared a bowl for broth, every four guest shared a bowl for meat and 65 bowls were used altogether BACK

CHALLENGE #15 Mang Itoy was single for 2/5 of his life. For 1/3 of the remainder he had wife, and for the remaining 24 years he has a widower. How old was he when he died? BACK

CHALLENGE #16 What is the largest number that evenly divides the sum of any five consecutive numbers? BACK

CHALLENGE #17 Move one digit to make 101 – 102 = 1 true. BACK

CHALLENGE #18 Find the sum of the digits of all numbers in the sequence 1, 2, 3, 4, …………….…….10,000. BACK

CHALLENGE #19 Laura can buy a bracelet and a watchband for P500, or a watchband and a locket for P600, or a locket and bracelet for P700. how much does each cost BACK

CHALLENGE #20 Two candles of equal length start burning at the same time. One of candles will burn down in 4 hours, the other in 5 hours. How many hours will they have to burn before one candle is three times the length of the other? BACK

THE ANSWERS Next

1. Y=2 2. Explore! All primes have to be obviously omitted. The 1 st one he is 6 with 1, 2, 3 and 6 as divisors. The others are 8, 10, 14, 15, 21 and 22. Hence 7/25 = 28% are cute. Ask students to generalize which positive integers are cute. (Those which are products of two primes) * 20 = yrs. old 5. The first = 41,124 second = 61,680 the third = 82, (x+1/x)2 = x /x2=3 => 8. abc= 8 9. Y=7 and there is no way to find x. If the equation is 2x+4y = 14+2 (x+y) /x 2 Next

/ x x + 3 = (4x+1)(5x+3); 2173= 20(10) (10) +3 = 41(53) = 20 (100) 2 = 17 (100) + 3 = 503 (401) 13. W= 8m L= 12m guest yrs. old = , Locket=P 900 Bracelet =P300 Wallet =P /11 hours HOME