MTAP Written - Grade 6 Long Bp

M T A P R e v i e w e r s – G r a d e V I | 1

Prepared by:

Mr. Antonio T. Delgado

2008 – Metrobank-MTAP-DepEd Math Challenge

Grade 6

Name: _______________________________________________ Score: _____________

School: _______________________________________________ Time: 90 minutes

Solve each item and write the answer on the blank before the number.

__________________ 1. Write “two billion, fifty-five million, eighty-six thousand, three hundred

eighty” in symbols.

__________________ 2. How many times as great is the underlined 6 in 465 786 745 as the 6

that is not underlined?

__________________ 3. Evaluate: 24 x 12 – 9 ÷ 3.

__________________ 4. Express 3960 as a product of its prime factors.

__________________ 5. What digit(s) can be placed in the blank in 56 8__9 to make it divisible

by 3?

__________________ 6. How many numbers between 30 and 150 leave a remainder of 1 when

divided by 5?

__________________ 7. What number is 397 more than 3456?

__________________ 8. What is the value of 6 in 864 357 475?

__________________ 9. Write 8 x 106 + 4 x 104 + 5 x 103 + 7 x 102 + 8 x 10 + 9 as a single number.

__________________ 10. What is the average of the numbers 54, 56, 58, 60 and 62?

__________________ 11. A number is multiplied by 9. To the product, 145 is added. If the result is

721, what is the original number?

__________________ 12. Round 34 995 450 to the nearest ten thousand.

__________________ 13. What is the smallest 5-digit number, with no zero in it, that rounds to 36

000 to the nearest thousand.

__________________ 14. Write MCMLXXVII in Hindu-Arabic.

__________________ 15. Find the GCF of 154 and 198.

__________________ 16. Find the LCM of 154 and 198.

__________________ 17. Change 6 7/12 to an improper fraction.

__________________ 18. Reduce 96/108 to lowest terms.

__________________ 19. Change 147/15 to a mixed number with the fraction part in lowest

terms.

__________________ 20. Mona Luise bought 8 pieces of cartolina. She used 2 1/3 pieces for one

project and 3 ¾ for a second project. How many pieces of cartolina

did Mona Luise use?

__________________ 21. How many pieces of cartolina remained with Mona Luise?

__________________ 22. Zephyr received some money for Christmas. He gave ½ of it to his

mother and 1/5 of it to his sister. If he had exactly P150 left, how much

did he receive?

__________________ 23. An H. E. teacher bought 121 m of cloth for her pupils. If each pupil was

given 2 ¾ m of cloth and the cloth was just enough for all of them, how

many pupils are there?

__________________ 24. If 34.5 x 623.8 = 345 x N, what is N?

__________________ 25. Find the value of 15 – 6 + (-3) – (-5).

__________________ 26. The sides of a triangle are 21.5 cm, 24.25 cm and 18.6 cm. Find its

perimeter.

__________________ 27. If n : 50 = 18 : 30, find n.

__________________ 28. A 240 cm3 solution of acid contains 12 cm3 of acid. How many cm3 of

acid would 1 liter of the solution contain?


Prepared by:


__________________ 29. 54 plywood boards, each with a thickness of 1.25 cm, are piled

together one on top the other. How high is the pile?

__________________ 30. How many pieces of tape 3.4 cm each, can be cut from a roll of

ribbon 25 m long?

__________________ 31. Change 9/13 to a decimal correct to the nearest hundredth.

__________________ 32. If 162 = n% of 450, what is n?

__________________ 33. If 575 = 46% of N, what is N?

__________________ 34. A vendor borrowed P7,500 from their cooperative at 8% a year. If he

paid at the end of 1 ½ years, how much in all did he pay?

__________________ 35. The factory cost of a car is P650,000. If the dealer added 20% to the

cost as gain, how much did he sell the car?

__________________ 36. An advertisement says: Regular price – P45; now only P31.50. What is

the percent discount?

__________________ 37. A family spends 35% of their monthly salary on food. On a circle graph,

how many degrees will represent food?

__________________ 38. x and y are supplementary. If y is 32o more than x, find y.

__________________ 39. A base angle of an isosceles triangle is 9˚ more than the vertex angle.

Find the vertex angle.

__________________ 40. A man-made lagoon has a radius of 25 m. If you walk thrice around it,

how many meters will that be?

__________________ 41. One milk can has a radius of 5 cm and a height of 16 cm. Another has

a radius of 6 cm and a height of 14 cm. How much more milk does the

second can hold than the first can?

__________________ 42. A ricefield is trapezoidal in shape. The parallel sides are 67 m and 85 m

in length and the distance between them is 82 m. What is its area?

__________________ 43. A box for raffle stubs is to be completely wrapped with colored paper.

If the box is 5 dm long, 3.4 dm wide and 6 cm high, what is the area to

be covered?

__________________ 44. A lounge is 4 m long and 3.2 m wide. It is to be tiled with square tiles of

side 2 dm. How many tiles are needed?

__________________ 45. A triangle with a base of 9 dm and a height of 8 dm is to be cut from a

thin cardboard 1 m long and 9 dm wide. How much of area of the

cardboard will be left?

__________________ 46. How many circles of radius 4 cm can be cut from a piece of cartolina

65 cm by 50 cm?

__________________ 47. The shadow of a man 6 ft tall is 10 ft at the same time that the shadow

of a telegraph pole is 35 ft. Find the height of the pole?

__________________ 48. By selling an article for P68, a man loses 15%. How much must he sell it

to gain 20%?

__________________ 49. A hollow metal pipe has an external radius of 5 cm and an internal

radius of 4.5 cm. If the pipe is 1 m long, find the volume of the metal

used to make the pipe.

__________________ 50. The scale of a house is 2 cm to 3 m. If a living room is 3 cm by 4 cm on

the scale, what is its actual area?


Prepared by:


Metrobank-MTAP-DepEd-NCR Math Challenge

Grade 6

Name: _______________________________________________ Score: _____________



__________________ 1. What is the place value of 6 in 762,435,029?

__________________ 2. How many times greater is the underlined 8 in 586,738,060 than the 8

that is not underlined?

__________________ 3. Geewhel can type 350 words in 5 minutes. How many words can she

type in ¾ of an hour?

__________________ 4. Anthony and Jolas repaired a computer and were paid P1,165.50. If

Jolas worked for 12 hours and Anthony worked for 9 hours, how much

was their pay per hour?

__________________ 5. Janus worked for 8 hours each day for 5 days. He earned P2190.00.

How much did he earn per hour?

__________________ 6. Write MDCXLVI in Hindu-Arabic.

__________________ 7. If (8386 + 5236) – 6863 = N, find N.

__________________ 8. Philip earns P25.00 per hour at a fast food restaurant. He worked 37

hours last week and 32 hours this week. How much did he earn?

__________________ 9. Write six hundred eighty millionths in figures.

__________________ 10. Write 22 x 52 x 17 in standard form.

__________________ 11. Subtract 8189 from 9304.

__________________ 12. What is the largest number that rounds to 150 to the nearest ten?

__________________ 13. At the rate of 50 kph, how long will it take a train to cover 600 km?

__________________ 14. If N : 12 = 60 : 84, find N.

__________________ 15. If : = 10 : N, find N.

__________________ 16. 16 If 57 men can do a job in 10 days, how many men can do it in 19

days?

__________________ 17. The average of two fractions is 13/16. One fraction is 3/2. What is the

other?

__________________ 18. What number is midway between 3/8 and ¾ on the number line?

__________________ 19. What is the reciprocal of (1 ÷ 2/3) ÷ 2/3 ?

__________________ 20. How many 21/3 m pieces of cloth can be cut from a roll 50 m long?

__________________ 21. What decimal is two-thirds of the distance from 2.1 to 3.9 on the

number line?

__________________ 22. There are 60 students in a Grade 6 class. If 35 of them are boys, what is

the ratio of boys to girls?

__________________ 23. What is the average of ½, 2/3, and 1/6?

__________________ 24. Nine out of 12 pupils who study their lessons in Math get high grades. If

240 pupils in a school study their lessons, how many will get low

grades?

__________________ 25. Mrs. Matias was born on December 16, 1897. She died on December

16, 1989. How old was she when she died?

__________________ 26. What is 12% of 540?

__________________ 27. 56 is what percent of 224?

__________________ 28. What is the value of (0.1)2 – (0.1)3?

__________________ 29. A carpet originally priced at P2000.00 is on sale at 15%. What is the sale

price?

__________________ 30. What fraction of a kilogram, in lowest terms, is 650 grams.


Prepared by:


__________________ 31. A dining room is 5 m long, 4 m wide and 3.5 m high. How many square

meters of wall paper are needed to cover the 4 walls if the door and

windows have an area of 5m2?

__________________ 32. A grass lawn is 56 m long and 42 m wide. Near each corner there is a

flower plot 6 m by 4 m. How many square meters of the lawn is

covered with grass?

__________________ 33. An angle is 24˚ more than its complement. Find the angle.

__________________ 34. In ΔFGH, F = G = 70˚ . Find H .

__________________ 35. In ΔDEF, D = 20˚ more than E and F = 90˚. Find D.

__________________ 36. What is the volume of a rectangular box with a length of 7.6 dm, a

width of 4.5 dm and a height of 6 dm.

__________________ 37. The angles of a triangle are in the ratio 2 : 3 : 5. Find the largest angle.

__________________ 38. A club starts with 6 members. Beginning with the next meeting, each

member is to bring 2 new members. If the procedure continues, how

many will be present in the fourth meeting?

__________________ 39. A piece of work can be done in 40 days by 25 men. After 16 days, 13

men are transferred. In how many days can the remaining men finish

the work?

__________________ 40. There are 12 people in a room; 6 people are wearing socks, 4 people

are wearing shoes and 3 people are wearing both. How many people

are bare feet?

__________________ 41. Three-fourths of the area of a square is 108 cm2. How long is one side of

the square?

__________________ 42. Aling Cely borrowed P 8,500 from their coop with a simple interest of

12% a year. How much in all will she pay after 3 years?

__________________ 43. A salesman has a basic salary of P2500 and a commission of 5% on all

sales. How much did he earn in a month when his sales amounted to

P185,650?

__________________ 44. The ratio of two numbers is 3 : 5. If the sum is 136, find the bigger

number.

__________________ 45. A courtyard is 24 m long and 20 m wide. In the middle, a circular area

of radius 4 m is covered with colored tiles. What percent of the area of

the courtyard, to the nearest tenth of a percent, is the area covered

with tiles?

__________________ 46. The scale of the plan of a house is 2 cm to 3 m. If the room is 7 cm by 6

cm in the plan, what is the actual area of the room?

__________________ 47. If a represents 20 families and 36 are drawn on a graph to

represent the families in a barrio, how many families are there in the

barrio?

__________________ 48. Using all the 4 digits 1, 2, 3, and 4 and no digits repeat, how many 4-

digit telephone extension numbers can be produced?

__________________ 49. A frog tries to climb an 8 m deep well. Each day, it climbs 2 m but at

night, it slips down 1 m. How many days will it take the frog to climb out

of the well?

__________________ 50. Find the sum of 1 + 2 + 3 + 4 + … + 97 + 98 + 99 + 100.


Prepared by:


FIRST NATIONAL METROBANK-MTAP-DECS ELEMENTARY MATH CHALLENGE (2000 – 2001)

Grade 6

Name: _______________________________________________ Score: _____________



__________________ 1. What is the place value of 9 in 393,648,618?

__________________ 2. What is the value of 7 in 457,809,050?

__________________ 3. How many ten thousands are there in 6.5 billion?

__________________ 4. Round off 456,670 to the nearest ten thousand.

__________________ 5. What is the multiple of 100 closest to 776?

__________________ 6. Round off to the nearest thousand and find the sum: 7 376 + 5 539 + 8

412

__________________ 7. Write MCMLXXII in Hindu-Arabic.

__________________ 8. Mang Tonyo picked 256 mangoes from one tree, 319 from a second

and 278 from a third. How many mangoes in all did he pick?

__________________ 9. How many times as great is the underlined 7 in 4 756 272 than the 7 not

underlined?

__________________ 10. Which is larger, 13/15 or 16/19?

__________________ 11. Write 3 x 105 + 5 x 104 + 7 x 102 + 8 x 10 + 5 in standard form.

__________________ 12. Change 8 5/6 to an improper fraction.

__________________ 13. Change 123/8 to a mixed number.

__________________ 14. Karyl bought 21 5/6 m of white cloth and 16 7/9 of blue cloth. How

many meters of cloth did she buy in all?

__________________ 15. Mona Luise has 6 7/8 m of lace. She needs 15 5/6 m. How much more

lace does she need to buy?

__________________ 16. Multiply: 5 3/5 x 3 4/7.

__________________ 17. A scout master has 45 ¾ m of rope. How many 2 ½ pieces of rope can

he cut from it?

__________________ 18. How many twelfths are there in 2 ¾?

__________________ 19. Round off 34.56551 and 4.781675 to the nearest thousandth and find

the sum.

__________________ 20. If 23.56 x 878.6 = 0.2356 x N, what is N?

__________________ 21. The three sides of a triangle have lengths of 3.52 cm, 4.8 cm and 5.7

cm. Find its perimeter.

__________________ 22. Jolas bought 3 ballpens at P4.75 each and 3 notebooks at P8.50 each.

How much did he pay?

__________________ 23. If Jolas gave the salesgirl a P50-bill, how much change did he get?

__________________ 24. If caimitos cost P5.50 each, how many can I buy with P100?

__________________ 25. What is the ratio of 75 cm to 1.2 m?

__________________ 26. If 9 : 13 = 108 : N, what is N?

__________________ 27. If Francisco can type 55 words a minute, about how many minutes, to

the nearest minute, will it take him to type a 1695-word article?

__________________ 28. A piece of cartolina 35 cm long and 10 cm wide was cut into strips 2.5

cm long and 2 cm wide. How many strips were cut?

__________________ 29. If 5/7 of a number is 35, what is the number?

__________________ 30. Write 0.353535… as a ratio of two whole numbers.

__________________ 31. P765 is divided among three children in the ratio 2:3:4. How much did

the child who received most get?


Prepared by:


__________________ 32. The ratio of the areas of 2 pieces of land is 3:4. If the smaller piece has

an area of 270 m2, what is the area of the larger piece?

__________________ 33. Change 1 2/5 to percent.

__________________ 34. Change 175% to a fraction in lowest terms.

__________________ 35. Change 7/9 to percent. Give the answer to the nearest tenth of a

percent.

__________________ 36. During a sale, Lois bought a dress marked P175 at a 15% discount. How

much did she pay for it?

__________________ 37. Aling Fenny borrowed P8,500 from their cooperative at 12% simple

interest. If she paid P5,000 after one year and paid what remained with

its interest at the end of the second year, how much in all did she pay?

__________________ 38. One angle of ΔABC measures 105˚. What is the triangle called?

__________________ 39. An aquarium is 6 dm long, 4 dm wide and 5 dm high. What is its

volume when it is 4/5 full?

__________________ 40. The length of a rectangular field is 123 m and the width is 86 m. If a

jogger goes around it 5 times, how many meters will that be?

__________________ 41. What is the area of the field in No. 40?

__________________ 42. The figures above are made up of equal squares. If Fig. A has a

perimeter of 54 cm, what is the perimeter of Fig. B?

__________________ 43. A circular garden has a radius of 5 m. What is its area? [Use pie = 3.14]

__________________ 44. Santan bushes are to be planted, around the circumference of the

circular garden in #43, at 3 dm apart. How many bushes will be

planted?

__________________ 45. A conical tent has a radius of 4 meters and a height of 6 meters. How

much air does it enclose?

__________________ 46. A 10 cm by 7 cm picture is pasted on a cardboard 16 cm by 13 cm.

What area of the cardboard is seen?

__________________ 47. A metal ball has a radius of 3 cm. What is its volume?

__________________ 48. The vertex angle of an isosceles triangle is 72˚. Find each base angle.

__________________ 49. An angle is 16˚ more than its supplement. Find the angle.

__________________ 50. The scale of the house of Mr. Delgado is 3 cm to 2 m. If the living room

is 8 cm by 9 cm in the plan, what is its actual area?


Prepared by:


2011 Math Challenge Grade 6

Name: _______________________________________________ Score: _____________


Solve each item and write the answer in the blank before the number.

__________________ 1. What number is 17 more than the difference of 95 and 37?

__________________ 2. Use exponents to express 5040 as a product of its prime factors.

__________________ 3. If 3,108 x 235 = 730,380, what is 31.08 x 2.35?

__________________ 4. What is the value of 43 – 6 x 3 + 52?

__________________ 5. What is the value of 5 in 358 348 129?

__________________ 6. The product of 55 x 75 is closest to which multiple of 100?

__________________ 7. Change 2 ¾ to percent.

__________________ 8. Change 4.75 to a mixed number with the fraction in lowest terms.

__________________ 9. What is x in 4 : x = 36 : 63?

__________________ 10. What percent of 1,250 is 450?

__________________ 11. How many millions are there in 5 billion?

__________________ 12. A man travels 56 km in one hour. How far can he go in 2 5/7 hours?

__________________ 13. What is the GCF of 420 and 504?

__________________ 14. What is the LCM of 420 and 504?

__________________ 15. The car of Mr. Burayag consumes 9 liters of gasoline to cover 84 km.

How far can it go on 12 liters of gasoline?

__________________ 16. How many segments can be named from the figure below?

__________________ 17. The scale of a map is map is 1 cm to 30 km. Two cities are 7.5 cm on

the map. How far apart are they?

__________________ 18. An angle is 10˚ more than its supplement. Find the angle.

__________________ 19. 196 is what percent of 560?

__________________ 20. Three numbers are in the ratio 3 : 4 : 5. If their sum is 168 find the biggest

of the three.

__________________ 21. A family has a monthly income of P18,750. If they spend 35% of it on

food, how much do they spend on food?

__________________ 22. A radio was bought for P510 at 15% discount. What was the marked

price?

__________________ 23. If 2/3 of the area of a square is 54 cm2, what is its perimeter?

__________________ 24. A picture 12 by 7 cm is framed on a piece of colored board 18 cm by

11 cm. What area of the board can be seen?

__________________ 25. A rectangular tank is 1.2 m long, 0.8 m wide and 0.5 m high. How

many liters of water can it hold?

__________________ 26. A pyramid-like circus tent has a 32 m by 28 m rectangular base. If it is

15 m high, what volume of air does it enclose?

__________________ 27. The parallel sides of a trapezoidal farm are 210 m by 150 m. If they are

120 m apart, what is the area of the farm in hectares?

__________________ 28. A beach ball has a radius of 5 dm. What is its volume?

__________________ 29. A room is 6 m long, 5 m wide and 3 m high. The 4 walls and ceiling are

to be painted. If the windows and door have an area of 14 m2, what is

the area to be painted?

__________________ 30. How many square tiles of side 1 dm are needed to tile the floor of a

bathroom 2.2 m long and 1.8 m wide?


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__________________ 31. The length of a rectangle is 7 cm longer than the width. If the

perimeter is 62 cm, find the length.

__________________ 32. I used 2/5 of my money in one store and 1/3 of what remained in a

second store. If I had exactly P56 left, how money did I have at first?

__________________ 33. A car traveled at 50 km/h for 4 hours and at 60 km/h for 3 ½ hours.

What was the average speed for the whole journey?

__________________ 34. About how many times must a jogger go completely around a park

120 m by 140 m to make sure he has run at least 3 km?

__________________ 35. A salesman has a basic salary of P3,500. He gets a commission of 5%

on all sales above P50,000. How much did he get in a month when his

sales amounted to P264,600?

__________________ 36. How many circles of radius 5 cm can be cut from a piece of paper 50

cm by 60 cm?

__________________ 37. A piece of cartolina is 60 cm by 48 cm. What is the least number of

squares that can be cut from it with no material wasted?

__________________ 38. A sewing box is 24 cm by 18 cm by 6 cm. What is its total surface area?

__________________ 39. A 450-m long nylon string is to be cut into 35 pieces for kites. How many

kites will have string?

__________________ 40. There are 5 red balls, 6 white balls and 7 green balls in a box. If one ball

is taken without looking, what is the probability that it is white?

__________________ 41. Mona Luise has 78 foreign stamps; she has 15 less than twice as many

Philippine stamps. How many stamps has she?

__________________ 42. Karyl’s garden is 24 m long and 18 m wide. If her fence needs posts

that are 2 m apart, how many posts does she need?

__________________ 43. What is the smallest number that can be divided by all the numbers 1

to 10?

__________________ 44. A book is 24 cm by 17 cm by 2.5 cm. How many books can be packed

into a box 5 dm by 3.5 dm by 2.5 dm, internal dimensions?

__________________ 45. A rectangular block of wood 56 cm by 16 cm by 12 cm is to be cut

into cubes of side 4 cm. How many can be cut from it?

__________________ 46. One cube has an edge twice the edge of another cube. What is the

ratio of the volume of the bigger cube to the smaller cube?

__________________ 47. A crew of 8 people can build a concrete wall in 6 days. How long

would it take a crew of 3 people working at the same rate, build the

same wall?

__________________ 48. The cost of mailing a letter first class is P29 for the first ounce and P23

for each additional ounce. A letter weighs exactly N ounces, where N

is a counting number, and the total cost of mailing is P190. What is the

value of N?

__________________ 49. A farmer sold some melons at P40 each and twice as many mangoes

at P10 each. He received a total of P720. How many melons did he

sell?

__________________ 50. Jomariz, Janus and Jolas have P268 together. Janus has P15 more than

Jomariz and Jolas has twice as much money as Janus. How much

money do Jomariz and Janus have together?

MTAP Written - Grade 6 Long Bp

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