4th year questions

7
4th YEAR QUESTIONS (TEAM ORAL NATIONAL LEVEL) EASY QUESTIONS (To be answered within 15 seconds MENTALLY) 1. If a * b = a^2 + ab , what is x in the equation 2 * x = 0 ? 2. A line passes through the point (-2,0), and is perpendicular to the line y = 2x. What is the equation of the line in slope-intercept form ? 3. In a class of 30 students, the average weight is 40 Kg. If 20 of the students weigh 780 Kg. altogether, what is the average weight of the other 10 students ? 4. At what points do the graphs of y = -x^2 and y = -x intersect ? 5. The lengths of the diagonals a rhombus are 8 cm and 5cm respectively. What is the area of the rhombus ? 6. Teacher Ramon jogs to school from his house every morning, and walks back to his house in the afternoon using the same route. If he reaches school after 1 hour of jogging at a rate of 300 m/min, how long does it take for him to go back to his house if he walks at 100 m/min ? 7. The sum of two numbers is 9 and their difference is 16. What is the smaller number ? 8. If f(x) = 2^x + x^2 - 2, what is f (0) ? 9. A rectangle has dimensions 30 by 35 units. What is the least number of squares into which rectangle can be cut ? 10. Let A and B be the sets composed of the letters in the word "metrobank" and "mathematics" respectively. What is A ∩ B ? AVERAGE QUESTIONS (To be answered within 30 seconds IN ANY WAYS) 1. Find the area of the quadrilateral with vertices at (0,0), (7,4), (4,6), and (0,5) ? 2. If f(x) = 3- 2x and (f • g)(x) = 1 - 8x, what is g(-1) ? 3. Solve for x in the equation : 4^x + 2^x = 12 ? 4. Give all pairs of prime numbers whose sum is 50. 5. If x^2 + y^2 = 4, what is the maximum value of x + y ? DIFFICULT QUESTIONS (To be answered within 60 seconds IN ANY WAYS) 1. What is the remainder when x^2013 is divided by x^2 - 1 ? 2. The vertex of the parabola is at (2,3), and the parabola passes through the origin. Find the equation of the parabola in the form y = ax^2 + bx + c. 3. Find the number for four boys and three girls to sit around a table if the girls sit next to each other. 4. Triangle ABC is right angled at B. If AB = 15 cm and BC = 20 cm, what is the area of circle centered at B and tangent to the hypotenuse AC. 5. Solve for x in the equation : 2^{(sin^2)(x)} = 1 + 2^{(cos^2)(x)}. CLINCHER QUESTIONS

Upload: tony-cervera-jr

Post on 21-Feb-2016

37 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: 4th Year Questions

4th YEAR QUESTIONS (TEAM ORAL NATIONAL LEVEL)

EASY QUESTIONS (To be answered within 15 seconds MENTALLY)1. If a * b = a^2 + ab , what is x in the equation 2 * x = 0 ?2. A line passes through the point (-2,0), and is perpendicular to the line y = 2x. What is the equation of the line in slope-intercept form ?3. In a class of 30 students, the average weight is 40 Kg. If 20 of the students weigh 780 Kg. altogether, what is the average weight of the other 10 students ?4. At what points do the graphs of y = -x^2 and y = -x intersect ?5. The lengths of the diagonals a rhombus are 8 cm and 5cm respectively. What is the area of the rhombus ?6. Teacher Ramon jogs to school from his house every morning, and walks back to his house in the afternoon using the same route. If he reaches school after 1 hour of jogging at a rate of 300 m/min, how long does it take for him to go back to his house if he walks at 100 m/min ?7. The sum of two numbers is 9 and their difference is 16. What is the smaller number ?8. If f(x) = 2^x + x^2 - 2, what is f (0) ?9. A rectangle has dimensions 30 by 35 units. What is the least number of squares into which rectangle can be cut ?10. Let A and B be the sets composed of the letters in the word "metrobank" and "mathematics" respectively. What is A ∩ B ?

AVERAGE QUESTIONS (To be answered within 30 seconds IN ANY WAYS)1. Find the area of the quadrilateral with vertices at (0,0), (7,4), (4,6), and (0,5) ?2. If f(x) = 3- 2x and (f • g)(x) = 1 - 8x, what is g(-1) ?3. Solve for x in the equation : 4^x + 2^x = 12 ?4. Give all pairs of prime numbers whose sum is 50.5. If x^2 + y^2 = 4, what is the maximum value of x + y ?

DIFFICULT QUESTIONS (To be answered within 60 seconds IN ANY WAYS)1. What is the remainder when x^2013 is divided by x^2 - 1 ?2. The vertex of the parabola is at (2,3), and the parabola passes through the origin. Find the equation of the parabola in the form y = ax^2 + bx + c.3. Find the number for four boys and three girls to sit around a table if the girls sit next to each other.4. Triangle ABC is right angled at B. If AB = 15 cm and BC = 20 cm, what is the area of circle centered at B and tangent to the hypotenuse AC.5. Solve for x in the equation : 2^{(sin^2)(x)} = 1 + 2^{(cos^2)(x)}.

CLINCHER QUESTIONSEASY 1. A square is inscribed in a circle of radius 12 cm. What is the perimeter of the square ?AVERAGE 2. Factor completely the polynomial 2x^3 - x^2 - 5x - k if x +1 is given as one of it's factors.DIFFICULT 3. If 100! is expressed into it's prime factorization, what is the power of 7 ?

Page 2: 4th Year Questions

2010 District MTAP – DepEd Math ChallengeGrade – 3Name: _____________________________________________________Score: _____________Solve each item and write the answer on the blank before the number_________ 1. What is the place value of 7 in 89 725?___________ 2. Write “fifty-eight thousand thirty-four in figures.___________ 3. What is the value of 9 in 89 725?___________ 4. If you have P 6 300, how many P 100-bills will that be equal to?___________ 5. If N + 384 = 726, What is N?___________ 6. If N - 217 = 218,What is N?___________ 7. 50 000 + 4 000 + 700 + 8 = _____________.___________ 8. If you have three P 1000 bills and five P 500-bills, how much money do you have? ___________ 9. What is the difference between the smallest and largest number that can be formed using 0, 2, 3, and 7?___________10. How many ninths are equal to six wholes?___________11. What fraction of the figure is shaded?___________12. Ara cut a cake into 36 pieces. She and her friends ate 24 pieces. What fraction in lowest terms of the cake remained?___________13. What is the remainder in 3 578 divided by 17?___________14. Cynthia bought 7 pens at P 11.25 each. How much did she pay?___________15. If Cynthia gave the cashier P 100 bills , how much change did she get?___________16. One side of a square is 31 cm. What its perimeter?___________17. What is the area of the square in # 16?___________18. Mother bought 3 ½ dozen apples. She served 29 apples for Noche Buena. How many apples remained?___________19. Dina received 8 boxes of chocolates. If each box contains 16 chocolates, How many chocolates did she receive in all?___________20. If you subtract 15 to my number then add 18, the result is 60. What is my number?___________21. Mark started studying at 8:15 pm. He finished at 10:05 pm. How many minutes did he study?___________22. A rectangular garden is 21 m long and its area is 252 sq. meters. How wide is it Is? -20 : 9 +8___________23. What is N if [N ] ----à [ ] -----à [ ]-----à [ 15 ] ?___________24. What two numbers have a product of 112 and a quotient of 7?___________25. What is the smallest number which when divided by 23 gives a quotient of 19 and a remainder of 3?___________26. There are 5 dozen guavas in a basket. Four more than ¼ of the guavas are ripe. How many are not ripe?___________27. Three Grade 6 sections collected newspapers. Each section collected an average of 215 kilos a week. If the drive lasted for 4 weeks, how many kilos of newspapers did they gather?___________28. Joseph arrives in school at 7:15 am and leaves at 4:45 pm. How long does he stay in school every day?___________29. Angelo has 32 blue marbles . He has 5 less than twice as many red marbles than blue marbles. How many marbles has he?___________30. 5/8 kilogram = ___________grams

Page 3: 4th Year Questions

2009 District MTAP – DepEd Math ChallengeGrade – 3Name: _____________________________________________________Score: _____________Solve each item and write the answer on the blank before the number___________ 1. Write “ fifty-four thousand seven hundred nine” in figures?___________ 2. What is the place value of 2 in 92 453?___________ 3. What is the value of 5 in 59 308?___________ 4. What number is 398 more than 4 563?___________ 5. What number is midway between 56 and 62?___________ 6. Find the remainder when 5 563 is divided by 19?___________ 7. What number added to 17 equals 45?___________ 8. The product of two numbers is 105. If one number is 5, what is the other?___________ 9. What is the difference between the smaller and largest number that can be formed using 0, 2, 3, and 7?__________10. How many ninths are equal to 5 wholes?__________11. The figure is made up of 5 equal squares of side 2 cm. What is the perimeter of the figure?__________12. What is the area of the square whose perimeter is 36 cm?__________13. Minda cut a cake into 32 pieces. She and her friends ate 14 pieces. What fraction in the lowest terms, of the cake remained?__________14. If 6/N of 56 = 48, what is N?__________15. Round 58 964 to the nearest hundred.__________16. Analyn bought 6 pens at P 9.25 each. How much did she pay ?__________17. If she gave the cashier P 100-bill, how much change did she get?__________18. Mother bought 3 ½ dozen apples. She served 29 apples for Noche Buena. How many apples remained?__________19. Marie received 7 boxes of chocolates. If each box contains 13 chocolates, how many chocolates did she receive in all?__________20. If you subtract 15 to my number then add 18, the result is 60. What is my number?__________21. If 3 apples cost P 25, How much will a dozen cost?__________22. A rope 35 meters long is cut into 2 pieces. One piece is 7 meters longer than the other. How long is the shorter piece?__________23. There are 650 pupils in school. If 2/5 are boys, how many are girls?__________24. P 550 is how many times as big as P 50? -20 :9 +8__________25. What is N if [N]--à [ ]--à[ ] --à [ 15 ]__________26. There are 5 dozen pineapples. Five more than ½ of the pineapples are ripe How many pineapples are ripe?__________27. Nine times Nina’s age plus 3 is 84. How old is Nina?__________28. Rachel has 2 P 100-bills, 3 P 50-bills and 7 P 20 bills.How much money has she?__________29. Angelo has 32 blue marbles . He has 5 more than twice as many green marbles than blue marbles. How many marbles has he?__________30. Estimate the product of 16 x 74 by rounding both numbers to the nearest ten.

Page 4: 4th Year Questions

2009 District MTAP – DepEd Math ChallengeGrade – 3Name: _____________________________________________________Score: _____________Solve each item and write the answer on the blank before the number

___________ 1. Write “seventy – four thousand seven hundred twelve” in figures.___________ 2. What is the place value of 2 in 28 306?___________ 3. What is the value of 5 in 25 674?___________ 4. How much greater is 4 563 than 398?___________ 5. Round 64 722 to the nearest thousand?___________ 6. What number is midway between 56 and 62?___________ 7. Write twenty – fifth in symbols?___________ 8. Find the remainder when 5 563 is divided by 17?___________ 9. What number is added to 47 equals 63?___________10. Multiply the sum of 12 and 23 by 10 and add the result to 1000.___________ 11. The product of two number is 207. If one number is 9, what is the other?___________ 12. How many sixths is equal to 4 wholes?___________ 13. What is the largest prime number between 40 and 50?___________ 14. What is the perimeter of the figure? 18 dm___________ 15. What is the area of the figure? 16 dm.___________ 16. If 5/N of 49 is 35, what is N?___________ 17. Marian received 12 boxes of chocolates. If each box contains 15 chocolates, How many chocolates did she receive in all?___________ 18. Grace has 27 foreign stamps. She has 8 more than twice as many Philippines stamps. How many stamps has she?___________ 19. April bought 4 ½ dozen roses. If there are 29 red roses, how many roses are not red?___________ 20. Eleven times Ana’s age minus 8 is 36. How old is Ana?___________ 21. Change 3 2/5 to improper fraction?___________ 22. If 3 mangoes cost 21, how much will a dozen cost?___________ 23. Write CCCIII in Hindu – Arabic.___________ 24. Estimated the product of 23 x 67 by rounding both numbers to the nearest ten.___________ 25. Aling Mila bought 2 ¼ meters of red lace and 2/3 meter of green lace. How many meters of lace did she buy in all?___________ 26. If you add 7 to my number, multiply by 3 and subtract 10, the result is 41. What is my number?___________27. Grace has 2 P 500 bills, 3 P 50 bills and 8 P 20 bills. How much money has she?___________29. Mang Ador sold 29 kg of lanzones on the first day and twice as many on the second day. How many kilograms of lanzones did he sell in all?___________30. Efren has a square garden measuring 5 meters each side. How much will he spend to fence it if a meter of fencing material cost P 14?