2004 ELIMINATION - Metrobank-MTAP-DepEd Math Challenge Grade 5

Solve each item on scratch paper and write the answer on the blank. [Use π

= 3.14]_________ 1. What is the place value of 6 in 874,695,457?

_________ 2. 735,480 = 7 x 105 + 3 x 104 + N + 480. What is N?

_________ 3. Which number has 2 and 9 as factors? 6282, 7262, 6380.

_________ 4. What is the remainder when 34,785 is divided by 37?

_________ 5. How many prime numbers are there between 80 and 100?

_________ 6. Round 478,512 to the nearest ten thousand.

_________ 7. Round each number to the nearest thousand and estimate the sum of 7 501 + 8 398 + 6 521 .

_________ 8. In 345,846, how many times as great is the underlined 4 than the 4 that is not underlined?

_________ 9. What is the largest digit that can be placed in the blank to make 45,__78 divisible by 6?

_________ 10. Two numbers are 23

x 32 x 5 x 11 and 22 x 33 x 5 x 7 respectively written as products of their prime factors. Write their least common multiple using exponents.

_________ 11. Write the smallest 9-digit number with 3 different digits repeated only once.

_________ 12. What is the difference between the largest and the smallest numbers that canbe formed using all the digits 4, 5, 7 and 9?

_________ 13. Write 2520 as a product of prime factors using exponents.

_________ 14. What is the smallest number that has 12, 25 and 30 as factors?

_________ 15. What is the greatest common factor of 240 and 270?

_________ 16 168 is what percent of 480?

_________ 17. 387 is 45% of what number?

_________ 18. What is the least common multiple of 240 and 270?

_________ 19.Reduce to lowest terms.

_________ 20. Change 8 to an improper fraction.

_________ 21.Change to a mixed number.

_________ 22. Joy bought 1 ½ dozen mangoes for ₱105. At the same rate, how much will 5 dozen mangoes cost?

_________ 23. A gold coin weighs 20 grams. If the coin contains gold, copper and tin in the ratio 4:3:1, how much gold is there in the coin?

_________ 24. Find two numbers whose sum is 16 and the product is 48.

_________ 25. A book is opened to where the sum of the numbers of the facing pages is 313. What is the bigger of the two page numbers?

_________ 26. Pat had 12 apples. He gave each of his friends ¾ of an apple and kept ¾ for himself. How many friends were with him?

_________ 27. There are 680 Grades 4-6 students in a school. If 35% of them are in Grade 5, how many Grade 5 students are there?

_________ 28. Rose bought a blouse at a discount of 18% for ₱147.60. What was the marked price of the blouse?

_________ 29. There are 240 scouts in a school. If 90 of them are cubs, what percent of the scouts in the school are cubs?

_________ 30. Ann can make one uniform with 2.4 m of cloth. How many uniforms can she make from 20 m of cloth?

_________ 31. Which of the following numbers can be written as the sum of two primes? a. 25 b. 35 c. 51

d. 57

_________ 32. Find N if N : 84 = 5 : 6.

_________ 33. What is the perimeter of the figure?

16m 12m 24m 40m

_________ 35. If 8 men can do a piece of work in 6 days, how many men can do it in 4 days at the same rate?

_________ 36. A restaurant charges 4% service charge. If your order amounted to ₱450, how much did you pay?

_________ 37. A closed box for a raffle is 5 dm long, 3.5 dm wide and 7 dm high. If it is tobe completely covered with colored paper, how much surface is to be covered?

_________ 38. An aquarium is 6 dm long, 4 dm wide and 4 dm high. How many liters of water does it contain when it is full?

_________ 39. A base angle of an isosceles triangle is 52o. What is the vertex angle?

_________ 40. How many cubic meters of soil will be needed to raise a 4 m long and 2.5 mwide flower plot by 15 cm?

_________ 41. If your step is about 70 cm and you can make 60 steps a minute, how far canyou walk in 10 minutes?

_________ 42. A park is 85 m long and 70 m wide. If you jog around it 6 times, how many meters will that be?

_________ 43. The ratio of two numbers is 3 : 5 and their difference is 34. Find the bigger number?

_________ 44.The average of two fractions is and one fraction is . What is the other?

_________ 45. The scale of a map is 1cm : 15 km. If two towns are 4.5 cm apart on a map, how many kilometers apart are they?

_________ 46. A school basketball team won ¾ of its games. If it won 14 more games than it lost, how many games did it play?

_________ 47. The parallel sides of a trapezoidal field are 52 m and 68 m. If they are 48 m apart, what is its area?

_________ 48. A certain sum of money is sufficient to pay the wages of 12 men for 15 days. For how many days will it be enough for 9 men?

_________ 49. The length of a rectangular garden is 3 m more than the width. If the perimeter is 106 m, find the length of the garden.

_________ 50. A room is 5.7 m wide and 6.6 m long. How many 30-cm tiles are needed to cover it ?