# Mtap Reviewer

MTAP Reviewer 1. I am a three-digit number. My tens is more than twice my ones and my hundreds is 2 more than my tens 2. Gab accidentally entered 418 instead of 814 in his calculator, how many times greater is 4 in the first number than in the second number. 3. P4800 is to be divided among four brothers so that each get 200 more than the brother who is his next younger brother. How would you divide the money among the brothers. 4. MJ is in line to buy tickets for a movie. There are 15 people in front of him and 17 people behind him. How many people are in the line? 5. If January 12 is Wednesday, what day is July 20? . If today is January 11, what date is it three days before yesterday? What date will it be five days from tomorrow? + 19-15+25-30 7. [ ] — [ ] — [ ] —- > [ ] — [ 55 ] 8. Subtract 35 from the sum of 43 and 58. 9. Add 28 to the difference of 28 and 56. 10. Add twice 25 to the difference of 73 and 28. 11. I am thinking of a number. If I add 35 to it then subtract 57 get 43. Find my number. 12. The three sides of a triangle are 18 cm, 23 cm and 20 cm. Find its perimeter. 2008 – Metrobank-MTAP-DepEd Math Challenge Grade 5 Name: Score: Time: ___ minutes

Solve each item and write the answer on the blank before the number. _________1. Write “five million, thirty-four thousand, eighty” in symbols. _________2. What is the smallest digit that can be placed in the blank to make 3__,863 > 32,862? _________3. What is the value of 7 in 67 801 350? _________4. How many times will you multiply 10 by itself to get 1,000,000? _________5. Round 45,872,871 to the nearest ten thousand. _________6. What number is 1 275 more than 32 650? _________7. What is the smallest prime number greater than 80? _________8. Which of 123, 126, 177, 281, 687 is/are prime? _________9.

Which of 2, 3, 4, 5, 6, 7 and 8 is/are not factors of 1260? _________10. Write 5 x 105 + 7 x 103 + 9 x 102 + 7 as one number. _________11. What is the GCF of 72 and 120? _________12. What is the LCM of 72 and 120? _________13. How many multiples of 10 are there in the numbers 1 to 328? _________14. What is the remainder when 5439 is divided by 36? _________15. Which of 126, 351, 773, 918 is not divisible by 9? _________16. If you have P200, how many apples costing P8. 50 each can you buy? _________17. What is N in [N] -13 [ ] x 9 [ ] + 7 [ ] – 50 [20]. . _________ 18. What is 14 x 30 ? 15? _________ 19.

What is the value of 73 – 53? _________ 20. In three tests, Rod got 84, 92 and 85. What was his average? _________ 21. Change 129/7 to a mixed number. _________ 22. Reduce 80/112 to lowest terms. _________ 23. Lucy bought a blouse for P135. 75. She gave the cashier two P100-bills. How much change did she get? _________ 24. Rolly can cover 11. 6 km/h in his bicycle. How far can he go in 2. 5 hours? _________ 25. Phil has a garden 18. 5 m long and 13. 7 m wide. Find the perimeter of Phil’s garden. _________ 26. What is the area of the garden of Phil? _________ 27. Miss Lily has 42 pupils in her Sewing Class.

Each needs 2/3m of cloth for a placemat. How many meters of cloth does Miss Lily have to buy for them? _________ 28. Mr. Go bought a lot 23 ? m long and 18 2/3 m wide. What is the perimeter of the lot? _________ 29. How many degrees is the supplement of an angle of 68o? _________ 30. Linda started a 45-minute piano lesson at 3:30 P. M. After her lesson, Linda walked home for 20 minutes. What time did Linda reach home? _________ 31. Lester left his office and drove 15 minutes to a meeting that lasted 1 hour 20 minutes. He drove another 20 minutes before arriving home at 5:00 P. M. What time did he leave his office? ________ 32. In a factory with 336 employees, 114 are men. What is the ratio of male employees to female employees? _________ 33. The ratio of two numbers is 4:7. If their sum is 132, find the bigger number. _________ 34. In a class, there are 23 girls and 19 boys. If 14 pupils got merit certificates in the Math Challenge Eliminations, what fraction of the pupils got merit certificates? _________ 35. A vendor bought 125 pineapples at P12 each and sold them at P15 each. What was his gain percent? _________ 36. What is 44% of 950? _________ 37. A stove marked P2850 was bought at a 15% discount.

How much was paid for it? _________ 38. A pair of shoes marked P950 was bought for P760. What was the percent discount? _________ 39. A blouse was bought for P196. 80 at a discount of 18%. What was the marked price? _________ 40. A string is stretched ? cm for every 10 kilos of weight. How far will a 24-kilo weight stretched the spring? _________ 41. A picture is 30 cm long and 22 cm wide. It is placed in a uniform frame that is 3 cm wide. What is the outside perimeter of the frame? _________ 42. A milk can has a radius of 6 cm and a height of 18 cm. How much milk does it contain? Use ?? = 3. 14 ________43. How many different rectangular gardens can you make, whose dimensions are whole numbers, if you have 48 m of fencing materials and the width is at least 4 m? Consider a 6 m by 18 m rectangle the same as an 18 m by 6 m rectangle. _________44. I am a decimal with my last digit in the hundredths. Rounded the nearest tenth, I am 6. 5. Rounded to the nearest whole number, I am 6. If the sum of my digits is 16, what number am I? _________45. Jim, Tim and Kim have 67 marbles together. Tim has 6 more marbles than Jim and Kim has 8 fewer marbles than Jim. How many marbles has Tim? _________46.

There are bicycles and tricycles parked along a road. There are 29 wheels and 11 riders. How many bicycles are there? _________47. Twin primes are prime numbers that differ by 2, like 3 and 5. Find twin primes between 65 and 80. _________48. Nick used straws, popsicle sticks and barbecue sticks to build a model house. He used twice as many barbecue sticks as straws and 5 more popsicle sticks as barbecue sticks. He used 35 popsicle sticks. How many straws and barbecue sticks did he use? _________49. The canteen sold 327 bowls of noodles and served 185 bowls of pancit more than noodles. How many bowls of food were served in all? ________50. The scale of a school building is 2 cm to 3 m. If a library is 18 m by 13. 5 m, what is its area on the blueprint? 2005 Metrobank-MTAP-DepEd Math Challenge Regional Individual Finals – Grade 5 Solve each problem on scratch and write the answer on the blank before the number. [ 2 points each] __________ 1. Thrice what number is the same as the sum of 456 and 624? __________ 2. What is the greatest common factor of 140 and 245? __________ 3. What is the least common multiple of 140 and 245? __________ 4. ABCD is a rectangle. Find the area of the shaded part. __________ 5. There are 78 electric posts.

The first is in town A and the last is in town B. If the posts are 50 m apart, find the distance between the towns. __________ 6. Jack finished painting 7 2 of a wall in 1 hour 24 minutes. How long will he take to finish the whole wall? __________ 7. Three-eighths of the 480 pupils in a school are boys andC32 Of them are in the primary. How many boys are in the intermediategrades? __________ 8. Lucy wants to cover completely a lottery box 6 dm by 3. 5 dm by 7. 2 dm. How much surface has she to cover? __________ 9. Lina pays P5. 50 for a one-way ride to school. For how many two-way fares will her P100 be enough? __________ 10.

The gasoline tank of a truck is 8 5full. It needed 51 liters to fill it. What is its capacity when full? __________ 11. A pair of shoes was sold for P747. 50 with a gain of 15%. What was the cost price of the shoes? __________ 12. A picture 32 cm by 24 cm is framed on a piece of colored cardboard 36 cm by 28 cm. What area of the cardboard can be seen? __________ 13. How many bags of cement will you buy to pave a path 32 m long and 1. 8 m wide if a bag of cement can cover 12m2 of the path? __________ 14. For every 15 sampaguita garlands that Luz can make, Liza can make 18 garlands. How many garlands did Luz make when Liza ade 126 garlands? __________ 15. Lulu can put her pictures 4, 5 or 6 to a page, in her album, with 2 pictures left over in each case. What is the smallest number of pictures that Lulu has for the condition to hold? Parts II and III , solve each problem on scratch paper and write a neat and complete solution on the space provided. Show details of the solution as partial credit will be given. Part II. Solve each problem. [3 points each] 1. Rounded to tenths, I am 5. 4. Rounded to ones, I am 5. Write 6 numbers that I can be. 2. There are 15 more ducks tha pigs in a farm. If there are 102 legs, how many pigs are there? . The lengths of the sides of a triangle are consecutive odd numbers. Find the lengths of the sides if the perimeter is 7 cm less than 4 times the shortest side. 4. John made a cubical lantern. The total length of its edges is 36 dm. What is the total surface area that he has to cover? 5. A cube of side 5 dm is made up of individual 1-dm cubes glued together. How many of the 1-dm cubes are face to face with exactly four other cubes? Part III. Solve each problem. [5 points each] 1. Rosa has P850; Jane has P225 less than twice as much as Rosa while Lily has P65 more than twice Rosa’s money.

How much money do the three girls have? 2. John agreed to work after school for 8 weeks for a fixed weekly rate. But instead of being given only money for his work, John agreed to receive P850 and a bicycle. After 5 weeks, John got sick. He was given P250 and a bicycle. How much is the bicycle worth? 3. Let T be the set of all divisors of 120. Q, the set of all multiples of 3 and S, the set of all whole numbers less than 70. Find all numbers N so that N is in each of the three given sets. 2006 Metrobank-MTAP-DepEd Math Challenge Regional Individual Finals – Grade 5 I. Write the answer on the blank before the number. 2 points each] Time: 90 minutes __________ 1. Express 3960 as a product of prime factors using exponents. __________ 2. A typist types 75 words in 2 minutes. At this rate, how long would it take to type a term paper of 1125 words if a 5 minute allowance is given for change of paper? __________ 3. What is the greatest common factor of 154 and 198? __________ 4. What is the least common multiple of 154 and 198? __________ 5. An angle is 12o more than its complement. Find the angle. __________ 6. A car traveled at 50 km/hr for 4 hours and at 60 km/hr for 3. 5 hours. What is the average speed to the nearest km? _________ 7. How many strips of colored paper 1. 5 cm wide can be cut from a piece 22. 5 cm wide? __________ 8. Two numbers are in the ratio 3:5. If their difference is 28, what is the bigger number? __________ 9. A tower cast a shadow of 15 m when a pole 6 m high cast a shadow of 2. 5 m. How high is the tower? __________ 10. The average of 13 numbers is 57. Two of the numbers, namely 78 and 102 are removed. What is the average of the remaining numbers? __________ 11. About how many times must a jogger go completely around a park 95 m by 75 m to make sure he has run 3 km? __________ 12.

A salesman has a basic salary of P2,500 a month. He gets a commission of 6% of all sales above P20,000. How much did he get in a month when his sales amounted to P197,500? __________ 13. A refrigerator marked P9,750 was bought for P8,580. What was the rate of discount? __________ 14. The edge of one cube is double that of another. How many times as great is the volume of the bigger cube than the smaller cube? __________ 15. Find the value of: 20 ? 2 + 30 ? 3 – 40 ? 4 + 50 ? 5. II. Solve each problem on scratch paper and write a neat and complete solution in the space below and at the back. Label your solutions. [3 points each] 1.

If 4 * 2 # 2 = 12, 5 * 3 # 4 = 32, and 3 * 5 # 3 = 24, what is 7 * 6 # 4? 2. The scale of a house plan is 2 cm to 3 m. a. What are the dimensions of a room that is 9 cm by 6 cm in the plan? b. If a room is actually 7. 5 m by 6 m, what are its dimensions in the plan? 3. A courtyard is 33 m by 27 m. How many squares 5 dm on a side can be drawn on it if none of the squares overlap? 4. A school carpenter made 45 stools, some 3- legged, others, 4-legged. If he used 152 legs, how many of each kind did he make? 5. Ron is thinking of a 3-digit number less than 500. If he exchanges the ones and hundreds digits, the new number is 396 more.

If he exchanges the ones and tens, the new number is 18 more. Find as many numbers as you can of which Ron is thinking. III. Solve each problem on scratch paper and write a neat and complete solution on the space below. Label your solutions. [5 points each] 1. Using 1, 2, 3, and 7, how many 2-digit numbers can be formed a. if no digit is repeated? b. if any digit may be repeated? c. which numbers formed in (b) are even? d. how many of the numbers formed in (b) are odd? 2. What is the sum of 1 + 3 + 5 + 7 + … + 495 + 497 + 499? 3. The 4-digit number A 5 5 B is divisible by 18. What can A + B be? What numbers can A 5 5 B be?

Give all possible pairs of A and B that will make A 5 5 B divisible by 18. 2007 Metrobank-MTAP-DepEd Math Challenge Regional Individual Finals – Grade 5 Solve each item and write the answer on the blank before the number. [ 2 points each] Use ?? = 3. 14 or 22/7 Time: 90 minutes __________ 1. Write six billion, four hundred thirty-six million, one hundred fifty-two thousand, sixty-five in Hindu-Arabic. __________ 2. If 8 boys eat 12 kilos of rice a week, how much rice will 10 boys eat in 2 weeks? __________ 3. After spending 53 of her money on three T-shirts and 3 2 of the remaining money on a book, Tina found she had exactly P96.

How much money had she at first? __________ 4. If 4/5 of a tank can be filled in 15 1/5 min, how long will it take to fill the whole tank? __________ 5. The product of 68 x 40 is 2720. What is the product of 6 800 x 4 000? __________ 6. The three sides of a triangle are 15 1/2cm, 12 1/5 cm and 13 5/6 5cm. What is its perimeter? __________ 7. How many 6. 5 cm pieces of ribbon can be cut from a piece 20 m long? __________ 8. A man drives at 40 km/hr for 3 hours and at 50 km/hr for 2 hours. What is the average speed for the journey? __________ 9. A park is 120 m long and 105 m wide.

About how many times must a jogger go around the park completely to make sure he has run at least 3 kilometers? __________ 10. A piece of cartolina 45 cm by 36 cm is cut into equal squares the biggest that is possible so that no material will be wasted. How many squares can be cut? __________ 11. A pole is driven into the ground so that 15 11 of it is above the ground. If 8 dm of it is in the ground, how long is the pole? __________ 12. Two numbers are in the ratio 3:4. If one number is 16 more than the other, what is the bigger number? __________ 13. A cyclist rode 35 km at 10 km/hr and another 30 km at 12 km/hr.

How long did he take for the journey? __________ 14. A man is going to build a fence around a rectangular yard 40 m long and 36 m wide. If the posts are to be 2 m apart and one additional post is needed for the gate, how many posts are needed? __________ 15. Find the smallest and the biggest numbers that round to 7 800 to the nearest hundred. II. Solve each problem on scratch paper. Then, write a neat, clear and complete solution for it on the space provided. [3 points each] 1. A rectangular garden is 55 m by 32 m. How much would it cost to fence the garden with 4 strands of barbed wire at P25 a meter. 2. Study the following. * 2 # 2 = 12, 3 * 5 # 3 = 24, 5 * 3 # 4 = 31. What is 7 * 6 # 4? 3. A can plough a field in 60 hours; B can do it in 48 hours and C can do it in 50 hours. How long will it take C to finish ploughing it alone after A and B have each done 12 hours of work? 4. Cupcakes cost P4. 50 and Brownies cost P6. 50. How many of each kind can be bought for exactly P94. 50? 5. A grass lawn is 88 m long and 66 m wide. There are 3 circular flower plots of radius 5 m along the middle. What is the area of the grass in it? III. Solve each problem on scratch paper. Then, write a neat, clear and complete solution for it on the space provided. [5 points each] . Using 1, 2, 3, 4 and 7, how many 2-digit numbers can you form if a. no digit may be repeated? Can you explain your answers? b. any digit may be repeated? c. how many of the numbers formed in (b) are even? 2. A piece of wire 132 cm long is cut and formed into 3 circles whose circumferences are in the ratio 1/3; ? ; I/6. Find the sum of the diameters of the largest and smallest circles. 15 cm . If the width of the rectangle is 18 cm, find its area, length and perimeter. 2005 Metrobank-MTAP-DepEd Math Challenge Regional Individual Finals – Grade 3 Solve each problem on scratch paper and write the answer on the blank before the number. 2 points each] 30 minutes __________ 1. What is 49 more than the product of 24 x 28? __________ 2. What is the remainder when 567 is divided by 29? __________ 3. On a number line what number is halfway between 31 and 97? __________ 4. How much more is ? of 124 than 2/5of 150? __________ 5. What is N in 14, 20, 26, 32, ___, ___, ___, N? __________ 6. A farmer picked 288 mangoes from one tree and 197 from a second tree. He put them 60 to a basket. How many mangoes are not in a full basket? __________ 7. Find two numbers with a sum of 75 and a difference of 19. __________ 8. George wants to buy a T-shirt that costs P109. 0. He has only P68. 75. How much more does he need? __________ 9. If I add 17 to my number, then triple the result and finally subtract 45, the final result is 63. What is my number? __________ 10. Joyce spends 3 ? hours a week doing her homework and 5 2/5 hours watching TV. How many minutes does she spend on both activities? __________ 11. Elsa made a table cover that is 2 ? m long and 1 ? m wide. How many meters of tatting does she need to put around it? __________ 12. Miss Cruz has 9 red papers and 7 blue papers. She will cut each into 6 equal pieces. How many pieces of colored papers will she have then? __________ 13.

Six roses cost P45 and 6 oranges cost P51. How much will it cost to buy 8 roses and 8 oranges? __________ 14. What is the biggest number N that will make N – 23 < 58? __________ 15. If 1/5 of a number is 136, what is 1/8 of the number? Part II. Solve each problem. [3 points each] 1. A grass lawn is 68 m by 52 m. Find the a. perimeter of the lawn, and b. the area of the lawn 2. In a relay by bicycle, a team of 7 covered a total of 289 kilometers. Six team members cycled the same number of kilometers. The seventh cycled 9 kilometers more than the others. How many kilometers did a. each of the 6 cyclists cover? b.

How many kilometers did the seventh cover? 3. Nora collects stamps. She puts 15 stamps on each page of her album. If 28 pages are full and the last has only 7 stamps, how many stamps does Nora have? 4. Lito and Nardo are playing a numbers game. Lito gives a number and then Nardo gives another. Fill in the missing numbers. Lito 2 4 610 12 14 Nardo 7 11 15 23 27 35 5. A test has three parts. Kim got 40 or 2/3 of the first part, 36 or 3/4 of the second part and 48 or 4/5 of the third part. a. How many correct answers did Kim get in all? b. How many items in all are there? c. How many mistakes in all did Kim make? Part III.

Solve each problem. [5 points each] 1. A clock strikes once for the first quarter hour, twice for the half hour, thrice for the third quarter and as many times as the hour, that is it strikes one at 1:00, twice at 2:00 and so on. How many times in all does it strike from 9:00 A. M. to 12 noon? 2. An educational film is 30 minutes long. Because the auditorium is small, only one grade at a time could see it. It took 10 minutes to rewind and set the film again between showings. The showing started at 8:30 a. m. What time did the showing end if all pupils from Grade 1 to Grade 6 saw it? 3. A crew of 3 men can do a job in 3 weeks and 2 days.

How long would it take a crew of 4 men to do the job if they work at the same rate? [Note that a work week contains 6 days. ] 2006 Metrobank-MTAP-DepEd Math Challenge Regional Individual Finals – Grade 3 Solve each item and write the answer on the blank. Time: 75 minutes __________ 1. What is the greatest common factor of 175 and 210? __________ 2. Change 84/9to a mixed number with the fraction part in lowestterms. __________ 3. What is the remainder when 4576 is divided by 19? __________ 4. By how much is 9 3/8 bigger than 4 7/12 __________ 5. Find N in 982 + N = 1736. __________ 6. A garden is 57 m long and 42 m wide.

If you run around it 3 times, how many meters will that be? __________ 7. In a class, there are 4 boys for every 5 girls. If there are 54 pupils in the class, how many boys are there? __________ 8. How many bags of cement will be needed for a path 45 m long and 3 m wide if one bag of cement is enough to cover 5 square meters of path? __________ 9. What number is 75 more than the product of 34 and 53? __________ 10. Mother needs 5 1/2 kilos of sugar for a dessert she is preparing. She has only 3 2/5 kilos. How much more sugar does she need? __________ 11. Joy read 105 pages of her book in 7 days. Her book contains 222 pages.

At the same rate, how many more days does she need to finish reading the book? __________ 12. If 8 is added to six times a number, the result is 80. What is the number? __________ 13. One side of a square is 17 cm long. By how much is the area increased if each side is increased by 3 cm? __________ 14. There are 15 dozen eggs in a box. 1/10 of them had cracks. How many had no cracks? __________ 15. How much less is 2/3 of 84 than the quotient of 511 ? 7? II. Solve each problem on scratch paper. Write a neat and complete solution on the space below. Label your answers. Then write the answer on the blank before the number. 3 points each] __________ 1. Nelly got 95, 92, 94, 85 and 90 on 5 tests. What must she get on the 6th test for her average to be 92? __________ 2. Kitty has a photo album of 30 pages. She places 6 pictures on each page. Twenty-one pages of her album are full; the 22nd has only 4 pictures. How many more pictures can Kitty put in her album? __________ 3. Twenty-five telephone poles are 50 meters apart. What is the distance from the first pole to the last pole? __________ 4. A man can do a job in 12 days working 8 hours a day. How many hours a day must the same man work so he can finish the same job in 10 days? _________ 5. Beth earned P1500 for 6 days of work. Ann earned P2,150 for 8 days. Who earned more per day of work? Why? III. Solve each problem on scratch paper and then write a neat and complete solution on the space below. Label your answers. [5 points each] 1. Rose receives P1. 60 in change in 5? , 10? and 25?. She received 17 coins in all. many of each kind did she receive? 2. A school bus can carry 55 children. The bus picks up 1 child at the first stop. At the second stop, it picks up two children. At the third stop, it picks up 3 children. At each stop, it picks up one more child than at the previous stop.

After how many stops will the bus be full? 3. Ricky has 48 stamps; Pete has twice as many stamps as Ricky. Rod has thrice as many stamps as the combined stamps of Ricky and Pete. How many stamps do they have together? If the three decide to share the stamps equally, how many will each have? 2007 Metrobank-MTAP-DepEd Math Challenge Regional Individual Finals – Grade 3 Solve each problem and write the answer on the blank before each number. [ 2 points each] Time: 80 minutes __________ 1. Write sixty-five thousand, seventy-eight in Hindu Arabic. __________ 2. A car travels at 50 kilometers per hour.

At that rate, how long will it take to travel 75 kilometers? __________ 3. Mother has 5 meters of pink cloth and 3 1/2meters of white cloth. How many meters of cloth has she? __________ 4. A garden is 20 meters long and 18 meters wide. What is its area? __________ 5. Kate has 65 stamps; Rose has 15 less than twice as many stamps. How many stamps have they together? __________ 6. A string is 80 meters long. One-fourth of the string is how much longer than one-fifth of the string? __________ 7. Find two numbers with a sum of 64 and a difference of 20. __________ 8. The sum of three consecutive odd numbers is 135.

What is the largest of the three numbers? __________ 9. What is N in 6, 7, 9, 12, 16, 21, ___ , ___ , N? __________ 10. If today is Friday, what day is it 100 days from today? __________ 11. If 4 boys can make 20 kites in 5 days, how many kites can 10 boys make in 10 days? __________ 12. Lita bought 6 oranges at P11. 00 each and a watermelon that cost 4 times as much as an orange. How much change did she get if she gave the seller two P100-bills? __________ 13. I am a number less than 50. When you divide me by 7, the remainder is 3. When you divide me by 8, the remainder is 5. What number am I? __________ 14.

Ruth has 96 roses for sale. Half of her roses are red. One third of the other half are pink and the rest are white. How many white roses has Ruth for sale? __________ 15. How many numbers between 101 and 215 are multiples of 6? II. Solve each problem on scratch paper. Then, write a neat and complete solution on the space provided. [3 points each] 1. Five atis cost P35. An atis and 9 apples cost P115. How much is the cost of one dozen atis and one dozen apples? 2. Which has a bigger area, a square with a side of 19 m or a rectangle that is 23 m long and 16 m wide? By how much? 3. I am a 3-digit number less than 800.

My hundreds digit is 2 more than my ones digit but 1 less than my tens digit. Write as many numbers as I can be. 4. Ann has P425; Beth has P160 more than Ann while Tess has as much as Ann and Beth together. How much money does Tess have? 5. The product of two numbers is 48 and their quotient is 3. Find the two numbers. III. Solve each problem on scratch paper. Then, write a neat and complete solution on the space provided. [5 points each] 1. Joe and Tim played a game. At the end of a game, the loser gave the winner 5?. After some time, Joe had won 3 games and Tim had 15? more than when he began. How many games did they play? . A farmer has 50 animals in his farm. 21 are chicken, and the rest are ducks and cows. If there are 118 legs in all, how many ducks and cows are there? 3. Two-thirds of the area of a square garden is 96 m2. Find the area and the perimeter of the garden. If santan are to be planted along the edges 4 dm apart, how many santan plants will be needed? FIRST NATIONAL METROBANK-MTAP-DECS ELEMENTARY MATH CHALLENGE Grade 3 Solve each problem and put the answer on the blank before the number. _________ 1. What is the value of 8 in 8,397? _________ 2. Write “six thousand five hundred fifty-eight” in Hindu-Arabic. _________ 3.

How many P100 bills will make P5,000 ? _________ 4. _______ = 9000 + 600 + 80 + 6 _________ 5. What will you put in the blank, < = or > ? 5,945 ____ 5, 954 _________ 6. Choose from {200, 300, 400, 500} so that ____ x 9 > 4,476? _________ 7. What number is 347 more than 5,928? _________ 8. What is 19 less than 45 + 38? _________ 9. What will make 4958 = 4,000 + [ ] + 50 + 8, true? _________ 10. Write LXXXIV in Hindu-Arabic. _________ 11. Write 47 in Roman numerals. _________ 12. Fill the ____ to make (35 + 5) + 13 = ( _____ + 9 ) + 17 true. _________ 13. What is the missing factor in 8 x [ ? ] = 384? _________ 14. 7 + 27 + 27 + 27 + 27 + 27 + 27 = ____ x 27 _________ 15. What is the missing number in 452 – [ ? ] = 275? _________ 16. There are 1,672 students in St. Anne’s School. Of these, 948 are boys. How many are girls? _________ 17. Mother bought a dozen mangoes for P 114. How much was one mango? _________ 18. 165 students went to a ball game. 75 of the students were boys. What is the ratio of boys to girls? _________ 19. In 9 x 8 = 72, 9 and 8 are called _____ . _________ 20. Which of the following is a prime number? { 21, 23, 25, 27 } _________ 21. What is the missing number in 16, 23, 30, ___, 44, 51. _________ 22.

The numbers 8, 16, 24, 32, 40 are called ________ of 8. _________ 23. George gathered 265 eggs. He put 12 in each egg tray. How many trays did he fill up? _________ 24. You have 7 boxes of milk. Each contains 48 cans. How many food packages can you prepare if you put 2 cans of milk in each package? _________ 25. Aileen read 90 pages of her storybook in 5 days. The book has 161 pages. At the same rate, in how many more days can she finish the book? _________ 26. Tom, Jack and Phil picked 204 mangoes. If they shared the mangoes equally, how many did each get? _________ 27. Mother used ? kilo of sugar for one dessert and ? ilo for another. If she bought 2 kilos of sugar, how much sugar remained? _________ 28. Ray has P228. He gave 1/3 of it to his sister and ? of it to his younger brother. How much had he left? _________ 29. What comes next? 3/5, 6/10, 9/15, 12/20, _____. _________ 30. Mother bought 4 2/5 meters of white cloth and 5 ? meters of blue cloth. How many meters of cloth did Mother buy? _________ 31. Joy has 3 P50-bills, 4 P20-bills, 7 P10-bills and 8 P5-coins. How much money has she? _________ 32. How many P5-coins will be equal to one P500-bill and one P50- bill? _________ 33. Joy started doing homework at 7:15 p. m. nd finished at 9:00 p. m. How many minutes did she take to do her homework? _________ 34. 1. 7 is equal to how many tenths? _________ 35. Write six and one hundred thirty-six thousandths in symbols. _________ 36. 0. 45 is equal to what fraction in lowest terms? _________ 37. Ray has a 3 2/3 meter rope and a 3 ? meter rope. What is the total length of his ropes? _________ 38. Name the angle in the figure using 3 letters. X _________ 39. What do you call an angle of 98??? _________ 40. Gay has some money. On her birthday Mother gave her P75 and Father gave her P80. Now she has P292. How much money had she at first? ________ 41. Nelly is making handkerchiefs each 2. 5 dm on a side. How much lace does she need to put around 3 handkerchiefs. _________ 42. What is the smallest number divisible by both 16 and 24? _________ 43. How many prime numbers are there between 40 and 50? _________ 44. Round off 4756 to the nearest hundred. _________ 45. What is the biggest number by which you can divide both 24 and 36? _________ 46. Tom put 128 stamps, 12 stamps to a page. How many stamps are needed to fill up the last page? _________ 47. The underline 7 in 7,476 is ______ times as great as the 7 that is not underlined. _________ 48.

A rectangular garden is 32 m. long and 25 m. wide. What is its area? _________ 49. How tall is a tree that cast a shadow of 30 m. when a 3 m. post cast a shadow of 5 m. _________ 50. A rectangular park is 35 m. by 65 m. If a jogger goes around it 5 times, how many meters will that be? Answer Key Grade 3 MTAP Test_2_ok. doc 1. 8,000 45. 12 2. 6,558 46. 4 3. 50 47. 100 4. 9,686 48. 800 m2 5. < 49. 18 m 6. 500 50. 1,000 m 7. 6275 8. 64 9. 900 10. 84 11. XLVII 12. 27 13. 48 14. 7 15. 177 16. 724 17. P 9. 50 18. 5 : 6 19. factors 20. 23 21. 37 22. multiples 23. 22 24. 168 25. 4 26. 68 27. 3/4 28. P 95 29. 15/25 30. 9/10 31. P 340 32. 110 33. 105 min 34. 17 35. 6. 136 36. 9/20 37. 7 1/6 38. Angle XOY or YOX 39. obtuse 40. P 137 41. 30 dm. 42. 2 43. 3 44. 4800 Answer Key Grade 3 MTAP Test_1_ok. doc 1. 8,000 45. 251,600 2. 548 46. 3 3. 800 47. 3 1/4 4. 36,908 48. 165 5. 8,750 49. 100 6. 1,023 50. 15 min 7. 598 8. 27 9. 26 10. Thursday 11. 141 12. 16/27 13. P 10 14. 20 15. P 1,100 16. 176 17. 1 18. 96 19. 32 20. 625 21. 6 22. 4, 12 23. 20 24. A 25. 48 26. 21 27. equilateral 28. 4 29. AC 30. square 31. 422 m 32. 23 m 33. obtuse 34. rectangle 35. 60 cm 36. 90 cm 37. 343 cm2 38. 9:30 pm 39. 31 40. 17 41. 8 42. 47 43. 756 cm3 44. 208 004-Metrobank-MTAP-DepEd Math Challenge Grade 5 2003 – 2004 Solve each item on scratch paper and write the answer on the blank. [Use pie = 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 105/147to lowest terms. _________ 20. Change 8 7/12 to an improper fraction. _________ 21 Change 131/14to a mixed number. _________ 22. Joy bought 1 ? dozen mangoes for P105. 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 ? of an apple and kept ? 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 P147. 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? _________ 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 P450, 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 is3/2 . 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 ? 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 ? Answer Key Grade 5 MTAP Test_1_ok. doc 1. hundred thousand 2. x 103 or 5000 3. 6282 4. 5 5. 3 (83, 89, 97) – no formula 6. 480,000 7. 23,000 8. 1000 9. 9 10. 23 x 33 x 5 x 7 x 11 11. 100,122,345 12. 5175 13. 23 x 32 x 5 x 7 14. 300 15. 30 16. 35 % 17. 860 18. 24 x 33 x 5 or 2160 19. 5/7 20. 103/12 21. 9 5/14 22. P 350 23. 10 g 24. 4, 12 25. 157 x = smaller page no. x + 1 = bigger page no. x + (x + 1) = 313 2x = 312 x = 156 x + 1 = 157 26. 15 27. 238 28. P 180 29. 37. 5 90 / 240 x 100% = 37. 5% 30. 8 31. 25 no. = odd prime + even prime no. = odd prime + 2 25 = 23 + 2 32. 70 33. 128 m 34. 672 m2 35. 12 Total man-days = 8 men x 6 days = 48 man-days Total men = Total man-days

Total days = 48 man- days 4 days = 12 men 36. P 468 37. 154 dm2 Faces Area Top 5 x 3. 5 = 17. 5 Bottom 5 x 3. 5 = 17. 5 Front 5 x 7 = 35 Back 5 x 7 = 35 Left 3. 5 x 7 = 24. 5 Right 3. 5 x 7 = 24. 5 Total 154 dm2 38. 80 39. 76o x = vertex angle x + 52 + 52 = 180 x + 104 = 180 x = 76o 40. 1. 5 m3 41. 420 m 42. 1860 m 43. 85 3x = 1st no. 5x = 2nd no. (bigger no. ) so. 5x = 5 x 17 = 85 5x – 3x = 34 2x = 34 3. 5 5 7 52o 52o x x = 17 44. 1/4 45. 67. 5 km 46. 28 x = games lost x + 14 = games won x + 14 = ? (won + lost) x + 14 = ? ( x + 14 + x) x + 14 = ? (2x + 14) 4x + 56 = 6x + 42 14 = 2x x = 7 Total = won + lost 2x + 14 = 14 + 14 = 28 games 47. 2,880 m2 48. 20 49. 28 m 50. 418 2002-Metrobank-MTAP-DepEd Math Challenge Grade 5 2001 – 2002 Solve each item and write the answer on the blank before the number. [Use pie = 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 P75 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 P350, 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 2 1 x 1 6 5 ]. _________ 18. Reduce 56/84 to lowest terms. _________ 19. Jean bought 5 3/5 5 3 m of white cloth and 3 4 3 m of blue cloth. How many meters of cloth did she buy? _________ 20. Zeus has a string 26 3 2 dm long and Ador has one that is 17 5 4 dm long. How much longer is the string of Zeus? _________ 21. Divide 4 3 2 by 3 9 1 . _________ 22. Add 3 2 o the quotient of 4 divided by 5. _________ 23. Change 5 13 7 to an improper fraction. _________ 24. Joy bought 4 mangoes for P46. 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? _________ 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 5 1 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 P210. 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? Answer Key Grade 5 MTAP Test_2_ok. doc 1. 80 000 000 2. 1540 3. 3 450 065 4. 1000 5. P 3600 6. 23 7. 12 8. P 38 150 9. 311 (no formula = 53, 59, 61, 67, 71) 10. 7 11. 10 12. 210 n (n + 1) 2 13. 12 14. 18 15. 270 16. 780 17. 4/11 18. 2/3 19. 9 20 7 20. 8 15 13 21. 2 3 or 1 2 1 22. 15 22 or 1 15 7 23. 13 72 24. P138 25. 1. 6 oC 26. 300 27. 200 31 28. 220% 29. 40 30. 52% 31. 135 32. 42 33. 50 34. 14 no. of mandays per work = 42 mandays (7 x 6) no. of men = 42 mandays / 3 days =14 men 35. P 217. 87 Total Order + Service Charge = Tot Amt 10. 50 + (210. 50 x . 035) = N 210. 50 + 7. 37 = P 217. 87 36. 9 37. 450 dm 38. 2826 m2 39. 1384 m 40. 60o x = unknown angle 90 – x = its complement angle = twice its complement x = 2 (90 – x) x = 180 –2x 3x = 180 x = 60 41. 166 dm2 Faces Area Top 7 x 4 = 28 Bottom 7 x 4 = 28 Front 7 x 5 = 35 Back 7 x 5 = 35 Left 5 x 4 = 20 Right 5 x 4 = 20 Total 166 dm2 42. 140 dm3 43. 23 cm 44. 75. 36 m 45. 76o 46. 95o x = unknown angle 180 –x = its supplement angle = 10 more than its supplement x = 10 + (180 – x) 5 5 4 7 7 2x = 190 x = 95o 47. 120o 8 hrs = x 24 hrs 360o 360o x 1 = x 3 120o = x 48. 15 cm 49. 2520 m2 50. 2600 dm2