__________ 13. The edge of one cube is double that of another. How many times as great is the volume of the bigger cube?
__________ 14. Ray read
29of a book on Friday and
13of it on Saturday.
The
rest, 160 pages, he read on Sunday. How many pages has the book?
__________ 15. A bus travels 36 km in 45 min. How far will it go in 1 ¼ hours?
II. Solve each item on scratch paper; then write a neat and complete solution on the space after Part III and the paper provided. [3 points each]
1. How many blocks measuring 3 in by 4 in by 5 in can be packed in a box measuring 4 ft by 5 ft by 3 ft internally?
1
2. Sheila went to Megamall. She spent
13of her money at Bayo. She went to Penshoppe and spent
13of her remaining money. Finally, at Cinderella, she spent the remaining 180. If she had no money left, how much money did she ₱ begin with?
3. A courtyard is 36 m by 24 m. How many squares, 3 dm by 3 dm can be drawn on it if none of the squares overlap?
4. Find the amount of wood used to make an open box, 25 cm long, 14 cm wide and 8 cm high, external dimensions, if the wood used is 5 mm thick.
5. The product of two numbers is 5040. If the greatest common factor is 12, what is the least common multiple? Find two numbers that satisfy the
conditions.
III. Solve on scratch paper; then write a neat and complete solution on
the space provided. Explain your solution. [5 points each]
1. The product of three whole numbers is 2730. If no two of the three whole numbers have a common factor, find as many triples of numbers as you can find that satisfy the conditions.
2. The cost of one 2-liter bottle of juice is 5 times the cost of a can of juice. If one 2-liter bottle costs 20 more than 3 cans of juice, how much does one 2- ₱ liter bottle cost?
3. Mark, Ray and Carlo shared 1200 marbles in the ratio 4 : 5 : 7. During a game, Mark won
154of Carlo’s marbles, and Ray lost
252of his marbles to Carlo. At the end of the game, how many marbles did each boy have?
2
2002 FIRST NATIONAL-Metrobank-MTAP-DepEd Math Challenge Grade 5
Solve each item and write the answer on the blank before the number. [Use π = 3.14]
_________ 1. What is the value of 8 in 86 543 217?
_________ 2. Write MDXL in Hindu-Arabic.
_________ 3. Write three million, four hundred fifty thousand, sixty-five in figures or standard form.
_________ 4. How many times greater is the underlined 6 in 4 567 564 than the 6 that is not underlined?
_________ 5. If I can save 75 a month, how much do I save in 4 years?₱ _________ 6. Find N in the pattern: 2, 3, 5, 8, 12, ___ , N.
_________ 7. What is the remainder when 564 is divided by 23?
_________ 8. A farmer harvested 109 cavans of palay from his field. If each cavan sold for 350, how much did he get?
_________ 9. What is the sum of the first 5 prime numbers greater than 50?₱
_________ 10. Three more than 6 times a number is 45. What is the number.
_________ 11. If I multiply a number by 8 and then subtract 15 from the product, the result is 65. what is the number?
_________ 12. Find the sum of 1 + 2 + 3 + 4 + … + 18 + 19 + 20.
_________ 13. Erl is 3 years older than Dhang. Together, their ages total 21 years. How old is Erl?
_________ 14. What is the GCF of 54 and 90?
_________ 15. What is the LCM of 54 and 90?
_________ 16 What is the smallest number that has 12, 13 and 30 as factors?
_________ 17.Evaluate: 3 ÷ [4 1 2 x 1
5 6 ].
_________ 18Reduce 56
84 to lowest terms.
_________ 19.Jean bought 5 3
5 m of white cloth and 3 3
4 m of blue cloth. How many meters of
cloth did she buy?
_________ 20. Zeus has a string 26 2
3 dm long and Ador has one that is 17 4
5 dm long.
How much longer is the string of Zeus?
_________ 21.Divide 4 2
3 by 3 1 9 .
_________ 22. Add 2
3 to the quotient of 4 divided by 5.
_________ 23.Change 5 7
13 to an improper fraction.
_________ 24. Joy bought 4 mangoes for 46. At the same rate, how much would a dozen ₱ cost?
_________ 25. Hercules had a temperature of 39.4 oC this morning and 37.8 OC this afternoon.
By how much did the temperature go down?
1
_________ 26. If 4.26 ÷ 3 = 1.42, what is 42.6 ÷ 0.142?
_________ 27. Change 155% to a fraction in lowest terms.
_________ 28.Change 2 1
5 to percent.
_________ 29. A student got 90% of a test. He answered 36 items correctly. How many items were in the test?
_________ 30. Out of 100 students in Grade 5, 48 are boys. What percent of the Grade 5 students are girls?
_________ 31. There are 450 Cub and Boy Scouts in a school. If 70% are Cubs, how many are Boy Scouts?
_________ 32. Find N if N : 90 = 14 : 30.
_________ 33. If 200 is divided in the ratio 1 : 2 : 5, what is the middle part?
_________ 34. If 7 men can do a job in 6 days, how many men can do the work in 3 days?
_________ 35. A restaurant charges 3.5% service tax. If your order amounted to 210.50, ₱ how much in all did you pay?
_________ 36. Tessie uses 2.2 meters of cloth for one uniform. How many uniforms can she make from 20 meters of cloth?
_________ 37. Find the perimeter of a regular pentagon with sides that are 90 dm long.
_________ 38. A circular man-made lake has a radius of 30 m. What is its area?
_________ 39. A rectangular field is 95 m long and 78 m wide. If you run around it 4 times, how many meters will that be?
_________ 40. An angle is twice its complement. Find the angle.
_________ 41. A closed box is 7 dm by 4 dm by 5 dm. What is its total surface area?
_________ 42. What is the volume of the box in #41?
_________ 43. The base of an isosceles triangle is 29 cm and the perimeter is 75 cm.
How long is a leg?
_________ 44. A circular pool has a diameter of 24 meters. If you walk around it, how many meters will that be?
_________ 45. A base angle of an isosceles triangle is 52o. Find the vertex angle.
_________ 46. An angle is 10o more than its supplement. Find the angle.
_________47. Nelly made a circle graph to represent her day of 24 hours. If she works for 8 hours, how many degrees is the sector that represents her work?
_________ 48. The scale of a map is 1 cm to 30 km. If two cities are 450 km apart, how far apart are they on the map?
_________ 49. The parallel sides of a trapezoidal field are 48 m and 64 m. If they are 45 m apart, what is the area of the field?
_________ 50. How much soil will be needed to raise a flower plot by 1 dm if the plot is 6.5 m long and 4 m wide?
2
2004 FIRST NATIONAL-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 can be 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 105
147 to lowest terms.
_________ 20.Change 8 7
12 to an improper fraction.
_________ 21.Change 131
14 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?
1
_________ 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
16m _________ 32. Find N if N : 84 = 5 : 6
_________ 33. What is the perimeter of the figure? 24m
12m
40m _________ 34. What is the area of the same figure?
_________ 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 to be 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 5
6 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 m wide flower plot by 15 cm?
_________ 41. If your step is about 70 cm and you can make 60 steps a minute, how far can you 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 7
8 and one fraction is 3
2 . 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 ?