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MTAP REVIEWER 2017SELECTED QUESTIONS FOR REVIEW FOR 2018 MTAP CHALLENGE COMPETITION In cooperation with the Department of Education GRADE 5 AND 6 REVIEWER Preliminary Reviews 1) 27 – (11 + 9) × 4 ÷ 8 + 31 = _____ 2) 98 – 89 + 37 × (N – 4) = 268. What is N? 3) 28 and 832 thousandths is subtracted from 56 and 61 hundredths. What is the difference to the nearest tenths? 4) The quotient when 0.25 is divided by a number is 1000. What is the divisor? 5) Find the product of 3033 and 94. Divide your answer by the difference of 1500 and 1288. What is the answer to the nearest hundreds? 6) What percent of 3kg is 480 g? 7) Express 84 minutes as a fraction of 4 hours in lowest terms. 8) Using only the number 43, how many times will you use it as a factor to get a product whose ones digit is 7? 9) Mary has 54 oranges. She gives an equal number of oranges to each of her 13 friends. How many oranges does she have left? 10) Mother gave Kian and his younger sister Php2 115.00 to share between them. Kian spent Php778.00 from his share and had Php271.00 left. How much did Kian’s younger sister have? 11) A water jar can hold 36 cups of water or 24 glasses of water. If there are already 6 cups and 19 glasses of water in a jar, how many more cups of water can be put in a jar? 12) There are 42 notebooks that are going to be given equally among 7 children. How many notebooks will each child receive? 13) Ricky had 24 boxes of chocolate candies. There were 350 chocolate candies in each box. He repacked all the chocolate candies into packs of 70 and sold them at Php24.00 per pack. How much money did he collect from his total sale? 14) Annie, Jenny, Sam, and Gerry want to divide a certain number of candies in the corresponding ratio of 1:2:4:6. What is the ratio of the number of Jenny’s candies to the number of Gerry’s candies? 15) A rectangular tile is 2cm by 4cm. What is the area of a square with the least number of rectangular tiles that can be placed side by side to form a square? 16) At a furniture store, a chair was sold for Php475.00 less than a side table and Php278 more than a kitchen dish cabinet. The total cost of the three items was Php4175.00. What was the selling price of the side table? 17) In a box factory, Ian finished 5 boxes in 2 hours while Joey finished 10 boxes in 3 hours. If they work at the same rate, how many boxes can they finish in 12 hours? 18) Mother had 168 kg of flour. She packed it into 7/10 kg per pack. 3/5 of the packs of flour were sold to Tasing at Php3.69 per pack. How much did Tasing pay for the flour? 19) Dario gave 1/3 of his oranges to his brother and donated 160 oranges to the children in the neighborhood. He found that he had 240 oranges left. What fraction of the oranges did Dario have left? Express your answer in lowest terms. 20) What is the missing number in the sequence? 1, 4, 4, 7, 10, 16, 25, 40, ____. 21) Uncle Tirso had some fruits. 5/9 of the fruits were oranges. 1/3 of the remaining fruits were apples. The rest were guavas. What fraction of the fruits were guavas? 22) Tony subtracted a number from 21. He then multiplied the difference by 3 and divided the product by 8. If the quotient was 6, what was the number? 23) The price of a kilogram of fish is increased 3 1/2 times during summer. How many percent was the increase? 24) If 4/7 of a number is 112, what is 7/4 of the number? 25) What is the difference of 4 and 2 hundredths and 3 and 27 thousandths? Answers 1.) 48 2.) 11 3.) 27.8 4.) 0.00025 5.) 1300 6.) 16% 7.) 7/20 8.) 3 times 9.) 2 10.) Php1066 11.) 1.5 cups 12.) 6 13.) Php2880.00 14.) 1:3 15.) 16 sq cm 16.) Php1326 17.) 70 18.) Php531.36 19.) 600 20.) 21.) 1/9 22.) 5 23.) 350% 24.) 343 25.) 0.993 15-Second Questions 1.) What is the next perfect square after 169? 2.) What is the product if the prime numbers between 50 and 60? 3.) Give two numbers whose product is 90 and whose difference is 13. 4.) What whole number values of k will make the sentence 2 – k > 8 true? 5.) What is the value of 104 + 103? 6.) If 1/3 of a number is 160, what is ¼ of the number? 7.) Fe withdraws P10 000.00 in 20-peso bills. How many bills did she receive? 8.) Fifty-two is what percent of 80? 9.) If one side of a regular octagon is 3.25cm, what is its perimeter? 10.) Bob has 8 times as much money as Tim. Together, they have P1 260.00. How much money does Tim have? 11.) What is 1 million minus 1 thousand? 12.) A family earns P24 200.00 a month. If they save 5% of it, how much do they save? 30-Second Questions 1.) Two numbers are in the ratio 4:5. If their sum is 135, what is the bigger number? 2.) What is the three times the product of the prime numbers between 20 and 30? 3.) Mike had P1 500.00. He bought a shirt for P325.00 and a pair of shoes. If he had only P35.00 left, how much did he pay for the shoes? 4.) A square is 8 ½ on each side. If three squares are placed side by side, what is the perimeter of the rectangle formed? 1.) 120 7. 295.) 0.) P1 210. How many pieces can be packed in a box 6dm by 3dm by 2dm? 8.1m wide cost if each tile is 15cm on a side and cost P25.) Robert can paint a room in 12 hours.00 30-Second Questions 1. 7. 292.) The radius of a bicycle wheel is 35.) 999 000 12.5km? 2.) 75 2.14] 7. What is its circumference? [Use π ≈ 3. How long will it take to fill a swimming pool that holds 24 000L of water? Give the answer in number of days as a mixed number.5. How much money will she have at the end of one year? 4. What is the percent increase? 6.) 196 2. what is the diameter of the circle? 5. How long will it take them to paint the room together? 6. respectively.) If the number of units in the circumference of a circle is the same as the number of square units in its area.) A car uses 10L of gasoline in covering 85km. 1-Minute Questions 1.) 2 001 3.) P140.) 65% 9. The sum of the two numbers is 157.) A piece of soap is 10cm long.) 5 and 18 4. 2.) How much will the square tiles for a rectangular floor 2.) 68cm . His helper can do the same work in 24 hours.5cm.) In the sequence 4.) P1 140.) One number is 5 more than 3 times another number.00 11.) Norma invested P5 000. Find the bigger number.) 26cm 10.00? Answer Key Team Oral Competition 15-Second Questions 1. what is the position of the term 298? 3.) 11 000 6.00 at 5% and 4.) 500 8. 4cm wide and 3cm thick.) 3 127 3.00 and P3 500.00 to P350. 298. How many litres of gasoline will the same car use to cover 297. 7.00.) A water hose sprays water at the rate of 10 litres per minute.7m long and 2.) The cost of an item is increased from P250. 3 5. …. 10.00 4.2% annual interest. 00 left. If they save 5% of it.00 15-Second Questions 1.) 4 units 5.25cm.) P6 300.5.) 8 hours 6.) 99th 3.) 40% 6.) What is the next perfect square after 169? 2.) What is 1 million minus 1 thousand? 12.) If 1/3 of a number is 160.) P8 897. How much money does Tim have? 11.) Give two numbers whose product is 90 and whose difference is 13.00 a month.) Mike had P1 500. He bought a shirt for P325.) 222. Together. If their sum is 135.) Fe withdraws P10 000.) If one side of a regular octagon is 3. they have P1 260.) What is the product if the prime numbers between 50 and 60? 3. what is its perimeter? 10.) Fifty-two is what percent of 80? 9. If three squares are placed side by side.00.00 in 20-peso bills. how much do they save? 30-Second Questions 1. what is the perimeter of the rectangle formed? .) A square is 8 ½ on each side.) A family earns P24 200.00 and a pair of shoes.) Two numbers are in the ratio 4:5. what is the bigger number? 2. 4.) 1 2/3 1-Minute Questions 1. how much did he pay for the shoes? 4. If he had only P35.00 4.) What is the value of 104 + 103? 6. what is ¼ of the number? 7.) 35 2.) 300 8.94cm 7.00.) Bob has 8 times as much money as Tim. How many bills did she receive? 8.) What is the three times the product of the prime numbers between 20 and 30? 3.) 119 7.) What whole number values of k will make the sentence 2 – k > 8 true? 5. ) 5 and 18 4.) How much will the square tiles for a rectangular floor 2.) 11 000 6.) Robert can paint a room in 12 hours.) P1 210.00 30-Second Questions 1. His helper can do the same work in 24 hours.) P1 140. 10.) 500 8.) The cost of an item is increased from P250.) 26cm 10.) 3 127 3.) The radius of a bicycle wheel is 35.) If the number of units in the circumference of a circle is the same as the number of square units in its area. How long will it take them to paint the room together? 6. How many litres of gasoline will the same car use to cover 297.) 120 7.) 999 000 12. 2. The sum of the two numbers is 157.2% annual interest.) A water hose sprays water at the rate of 10 litres per minute.) One number is 5 more than 3 times another number. 295. what is the diameter of the circle? 5.) 68cm . 7. 298. 4cm wide and 3cm thick.00? Answer Key Team Oral Competition 15-Second Questions 1. respectively.) 2 001 3. What is its circumference? [Use π ≈ 3.) 75 2.00 to P350.1m wide cost if each tile is 15cm on a side and cost P25.) Norma invested P5 000. How much money will she have at the end of one year? 4. 1-Minute Questions 1. Find the bigger number.00 11. 1. what is the position of the term 298? 3. ….00 4. How many pieces can be packed in a box 6dm by 3dm by 2dm? 8. 292.) 0. How long will it take to fill a swimming pool that holds 24 000L of water? Give the answer in number of days as a mixed number.00.) 196 2.00 at 5% and 4.00 and P3 500.) In the sequence 4.) A piece of soap is 10cm long.) P140.5cm.) A car uses 10L of gasoline in covering 85km.5. What is the percent increase? 6.) 65% 9.5km? 2. 7.7m long and 2.14] 7. 3 5. ) 8 hours 6.00 A. How long is one side? Answer: 28 cm 4.00 4. 3 + 29 5. If its length is 20 cm.) 1 2/3 1-Minute Questions 1. Answer: 13 + 19. One number is twice the other.) 119 7.6.) Express 32 as a sum of 2 prime numbers. what is its perimeter? Answer: 70 cm 8.) The diameter of a circular lot is 15 m.) The sum of 44 and 25 is equal to 84 minus a certain number.) 40% 6.) P6 300. What is its complement? Answer: 48 degrees 9.) Reduce the fractionto simplest form.) 35 2.) 4 units 5.) 222.94cm 7.) 99th 3. Answer: 9/11 3.) What is n if 5n is equal to 252? Answer: 125 . What is that number? Answer: 15 7. What is the bigger number? Answer: 100.) P8 897. 15-second questions – 2 points each 1. What is its radius in centimeter? Answer: 750 2.) The sum of two numbers is 150.) A rectangle has an area of 300 cm^2.5.) An angle is 42 degrees.) 300 8.) A regular pentagon has a perimeter of 140 cm.4 6. centimeters is equal to one sq.8 x 10^8 2.) If ¼ of a number is 144. 000 B.500. 30-second questions – 3 points each [Use π= 3.5 cm added to its circumference to make it larger.) The radius of a circle is 2 dm. What is the area of the enlarged picture? Answer: 552.1 cm 2.) A lady deposited P50-bills amounting to P30.) The dimensions of a 16 cm by 24 cm picture are enlarged by 20%.of the remaining roses are white and the rest are pink. What is the area of a bigger circle whose radius is 3 times the first circle? Answer: 133.) What is the product of 4. his bank account amounted to only P900.) How many multiples of 5 are there between 1 and 1. Santos had P4. Answer: 45. 47 C.96 cm^2 3.000 in his bank but owed somebody P7.) Find 3 consecutive whole numbers whose sum is 138.14] 1. How much money did he deposit? .000? Answer: 199 11. How many are pink? Answer: 15 4. meter? Answer: 10.000 x 45. 46. After making a deposit and writing a check to pay his debt.04 dm ^2 6. 1-minute questions – 5 points each 1.) How many sq.) A ring with a diameter of 2 dm has 3.000 in scientific notation? Answer: 1.000.) Three-eighths of 40 roses are red. What is its new diameter? Answer: 21. what isof the number? Answer: 192 3.10.) Mr. How many paper bills did she give the teller? Answer: 600 5. 1. What are the numbers? 5.) If apples cost 4 for P35 and oranges cost 4 for P42.) The cost of a book increased from P180 to P200. If the perimeter of the base is 18 inches. Answer: Lilia – 89. Answer: 3 5. 34 6.Find the grade of each girl.) The circumference of a circle is .) One number is twice the other. What is its area? 4. Rose – 87.) A P650 t-shirt is marked 20% discount. Kate – 85 To those who are reviewing for the MTAP-Metrobank-DepEd Math Challenge. How many are boys? . Their sum is 87. There are 42 students in the class. 400 4. find the height of the brick in inches. How much will you have to pay for the t-shirt? 3.) Find two numbers whose sum is 53 and whose difference is 15. here are some sample questions with answers.) The ratio of boys to girls in a class is 3:4. Answer: 19.Answer: P 4. how much will a dozen apples and a dozen oranges cost? Answer: P 231 3.) What is 1/5 added to 1/2? 2.) A whole number divisible by 6 is greater than 170 but less than 210.) By how much does of 48 exceed of 25? Answer: 22 2. By how many percent to the nearest whole percent did the price increase? Answer: 11 Clincher questions 1.) A child glued together 42 cubes with 1 inch edges to make a solid rectangular brick. the average grade of Lilia and Kate is 87 and the average grade of Rose and Kate is 86. what is the largest number that satisfies both conditions? Answer: 204 Do-Or-Die questions 1.) The average grade of Lilia and Rose is 88. (5) 18 (6) 24.) The sum of two numbers is 26. What are the numbers? 3. (7) 5/12 (8) 35 and 21 (9) 7/6 or 1 and 1/6 (10) 3. In the figure. their difference is 12. The difference between their ages is 12. (2) 520. how many cubes cannot be seen? . What portion of the cake was left? 8.) The sum of two numbers is 56 and their difference is 14. (3) . How old is Karen? 7. what is the area of the shaded triangle? Answers: (1) 7/10. 1. What are the numbers? 9.5 sq. cm. (4) 29 and 58.6.) A large cube is formed using smaller cubes as shown below.) If the smallest square in the grid below is 1 square cm.) Karen is twice as old as Anna. This is the second set of Grade 6 reviewers for the MTAP Math challenge.) Jenny bought a cake for her daughter’s birthday.) What must be subtracted from 3/2 to get 1/3? 10.) What is the greatest common factor of 3 and 10? 2. The family ate 1/3 of the cake and gave 1/4 to their neighbor. What is the discounted price? 8. what is the area inside the rectangle not occupied by the circles? Use 11. 46% 7. 15.4.) What percent of 50 is 23? 7.5% 9. What are the numbers? 12. 19 and 7 3. cm. 8 and 4 12. The sum of their ages is 54. What is the ratio of the number of persons who like to jog in the morning to the the total number of persons in the poll? 6.) Bimbo is twice as old as Miko. 1 2.) Two circles are inscribed in a rectangle.48 sq. 714 8.) What is of ? Problem of the Week: The number 25ab where a and b are digits is divisible by 6. 8 cubes 4. If 75 which is one of the numbers is subtracted from the sum of those 6 numbers. How old is Miko? 5.) The sum of two numbers is 12 and their product is 32. 37. 11. 3/8 . 24 persons said that they like to jog on a Sunday morning and 18 persons said that they prefer to stay late in bed.) The average of 6 digit numbers is 70. what is the average of the remaining 5? 10.) What is the equivalent of 3/8 in percent? 9. What is the largest possible value of a + b? Answers 1.) In a telephone poll. 18 years old 5. If the radius of the circle is 3 cm.) A bag is with price tag 840 is marked 15% discount. 4:7 6. 69 10. ) What is the value of 9. 4.) Aubrey bought 3 notebooks and 2 pencils.Grade 6 MTAP Reviewer Set 3 1. 4. Each notebook costs P12.) How many prime numbers are there between 10 and 20? 5. What are the numbers? 12.) What is the greatest common factor of 24 and 36? 8. 7.) The sum of two consecutive numbers is 89.) Write the ratio of X to O in below. 7.) What is the value of N in the equation ? 11. 2.) What is ? 10. 7.50 and each pen costs 6.) Which of the following numbers is not divisible by 3? 651.) Arrange the following decimals from smallest to largest: 4.78. 1 hour and 15 minutes 2. How much did Aubrey spend all in all? 7.87.50.) Which of the following shapes is a heptagon? 6.) The time elapsed between 12:15 PM and 1:30 PM of the same day is ____ hours and ____ minutes. 4. 784 Answers 1.48.84 . 3.87.84.78. XXOXOOX 4. 876.48. 7. greater than 0 b. Suppose he spins 100 ties.) What is the sum of 1/4 and 1/5? 4. May has four more vases than Jenny. 32 9. 44 and 45 12. 13. He does not jog on Sundays. 17. how many kilometers does he jog each day? 7. 4:3 4.) The product of 5 and N is negative number.) Jenny. how many times will likely point to blue? 6. 14 (MDAS Rule: perform division before addition) 10. Jenny has 15 vases of roses. 3. 19) 5.8 11. equal to 0 5. Coney has 6 vases fewer than May. less than 0 c. 1. 784 This is the fourth set of the MTAP Math reviewer for 6th Grade. four (11.) Which of the following numbers is the least? . 16. How many rose vases does Coney have? 2. Php50.) John created the spinner below. 12 8. What must be the value of N? a.) Leo jogs 18 kilometers in a week. May.) What is ? 3. c 6. and Coney love to plant roses.50 7. On the average. 6. 0. b 5. What is the least area of the wrapper that she could use? Answers 1.0 2. 33.840 to make it true? 12.) What is the largest digit that can be placed in the digit n in the inequality 0.12 8. 13 vases 2. 0. Rina placed a gift for her friend in a box whose dimensions are shown below.) Write 5 × 5 × 5 in exponential notation. 2/3. 48 000 3.) What is the value of n in the equation ? 10. 20 9. 1923 seconds 11. 0. 1. 3. 9 12. 3 kilometers. 1/8. 9/20 4. 288 sq. This is the 5th set of the Grade 6 MTAP Reviewers.) Put the following numbers in order. She wants to cover the box. two minutes. 7. and 3 seconds? 11.12 8.) How many seconds are there in half an hour.03. -9 10.33. 0.83n <0.) Find the missing number in the proportion 2:5 = 8:__? 9. . 75 6. cm. ) Write the linear equation for the following ordered pairs (a.) Anna traveled from her house in Quezon City to NAIA for 1 hour and 15 minutes. His daily wage is Php435.0 2. 8:05 AM 6. 10. and is positive. 380100 9. (13.) What is the equivalent of as negative exponent. Php10.b): (8. What is true about the value of ? . a + b = b + a? 2.) Write in standard form.3. 240 7.) Siri works 6 days a week. 1. What time did he left home? 6. 6 ways.) What property says that for any numbers a and b. 3. b = a – 5 12. 3.) What is the product of and 10. How does will he earn in 4 weeks? 5. n = 5 11. 33.) Evaluate: 2(5!) 7.33. 4.5).) The product of .) What is the value of in the equation below? 11. 9. 8.8) 12.03.440 5. 0.) What is the value of the blank in 4 (3 + _) = 48? Answers 1.00. In how many ways can he wear a pair of suit and tie? 8.3). 9 This is the 6th set of the MTAP Reviewer for Grade 6. He arrived at NAIA 9:20 AM.) James has 3 suits and ties with 2 different colors. (10. 4. ) Anne got scores of 85. 1/8 9. How old is Allan? 8.) Allan is twice as old as Anna. In 5 years. and x in four tests. 3 12. b 3.) The ratio of the number of girls to the number of boys in Class Masipag is 4:5.) What is 12. Which is not a possible value of A? 2. If the total number of student is 45. If Anne’s average is 87. 2 . 6.5% in fractions? 9. 3 12. 0.a. 91.935 7. 5. Commutative property 2.) What is the value of ? 5. n > 0 b. 90 10.) What is ? 6.) What is the value of x in 7x – 8 = 5x? Answers 1. n = 0 3.) What is the sum of the smallest and largest numbers in the following set? 7. how many are girls? 11. what is the value of x? 10. 8. 48 5. 40 4.) One fifth of a number added to one fourth of the same number is equal to 18. What is the number? 4. the sum of their ages will be 43. 82. n < 0 c. 22 8.) The number 5A2 is divisible by 6. 20 11. ) Write <.) Which of the following numbers has the smallest value? 3.) Simplify: 12.) 1/2 3.) One pair of opposite sides of a quadrilateral are parallel. The other pair is not parallel. Their sum is 48.) What is the distance between two points (6.) One number is twice another number. What is the name of the quadrilateral? 10.78 ____ 0. =.) 16 and 32 4. > in the blank below.4)? 7.) 3/5 This is the eighth set for the Grade 6 MTAP Reviewer.) 6x + 3 12. 92. 9.) = 2.4) and (12.) 5. What are the numbers? 4.) Evaluate: .780 2.) Sam scored 87. Find the area of the square that is twice its size.) What is the largest 2-digit prime number? 6.) 36 sq.) 6 units 7. Answer Key 1.) 87. and 83 in three tests. .) 97 6.) Write the expression in exponent form.This is the seventh set of the MTAP Reviewer for Grade 6. cm.3 8.) What whole number is the best estimate for the square root of 90? 11. 1.) The diagonal of a square is 6cm.) 9 11. 5. 0.) trapezoid/trapezium 10. 9. What is his mean score? 8. ) 48 8. 1.) 80 male teachers 2. How old are both of them? 9.) 43 and 44 4.1. What is its length? 7. Naia is 5. What time did she finish studying? 5.) Two hundred teachers attended a mathematics conference. What is its surface area? 6. What is the number? 5.) What is the value of in ? 8. Yana bought 20 blouses for Php300 each. 9.) 25% 3.) Maia is twice as old as Naia. What percent is the is profit? 3.) The sum of two consecutive numbers is 87. Amy baked a cake and gave ½ to her children.) 8 cm.) 7 5. She said that she studied for 2 hours and 30 minutes with a 15-minute snack break. The volume of a cube is 125 cubic centimeter. How much was her profit after selling all the t-shirts? 2. One is twice the other.) What is one half of one fourth of 64? 6.) Which of the following fractions is the largest 8/11. What is the sum of 1 – 2 + 3 – 4 + 5 – 6 + 7 – 8 + 9? 3. the sum of their ages will be 21.) Twice a number added to 13 is equal to 27. The sum of two numbers is 51.) The perimeter of a rectangle is 26cm. He gave 1/3 of the remaining cake to her neighbors.) 6 This is the 9th set of the MTAP Reviewer for Grade 6.) Maia is 10. He sold 10 blouses at a 20% profit and the remaining at a 10% profit. In three years.) Mang Ambo bought a box of cookies at Php80 and sold it Php100. Approximately how many centimeters are there in 1 inch? . What are the numbers? 4.) 9/12 10. What fraction of the cake was left? 4. How many male teachers attended the conference? 2. Its width is 5cm. 10/15? 10. What are the numbers? 7. 7. 9/12.) 8 6. Karen started studying at 7:45pm last night.) What is 4 ½ divided by ¾? Answers 1. The ratio of male to female is 2:3. 92. … 1. what day is April 8 of the same year? . If March 8 is a Tuesday. 8. 46. 10. If you toss coin a hundred times which was manufactured correctly. What is the next number in the pattern? 8. 44. 22. 20. what is the best estimate that it will turn up to be head? 9. The area of a square is 625 square meters. What is the remainder of 32.00. What is the number? 3. 27? 5. Next. April 1+7 = 8 is also a Friday. Now. If we add 2 hours to 7:45. 600 + 300 = 900. She only studied for 2 hours and 15 minutes. If one number is twice the other. Answer: 150 sq. then their sum is divisible by 3. April 1 is a Friday. 1. Now. so the remaining cake is 2/3 of ½ which is equal to 1/3. her profit after selling all the blouses is Php900. 2. What is the reciprocal of 0.54cm 8. the numbers are 17 and 34. 6. Answer: 10 pm. Substituting. therefore. If we add another 15 minutes. What is the next number in the series 2.00. 22. How much is the book’s discounted price? . cm. The side length of a cube with volume 125 cubic centimeter is 5 centimeter. and 29 are also Tuesdays (you add by 7 to the dates and you get the same day). If March 8 is a Tuesday. Surface area of a cube is 6s2 where s is the side length. Many of the questions here are patterned from actual MTAP questions. 30 is a Wednesday and 31 is a Thursday (March has 31 days!). If I add 52 and subtract 33. this gives us 10:00pm. 51/3 = 17. then March 15. She gave ½ to her children so only ½ of the cake remained. 5 3. 5. 10. I am thinking of a number. 20. So. Below are sample Grade 6 MTAP reviewers to those who want to join the Metrobank - MTAP-DepEd Math challenge. 486 divided by 11? 2. she gave 1/3 of ½ remaining cake to her neighbors. Answer: Php900 2. Therefore. I get 27. A. Now. she will finish by 9:45. 14. Ten shirts at 300 each is Php3000. A book which costs 850 is sold for a 15% discount.QUESTIONS WITH SOLUTIONS Solutions and Answers 1. So. 20% of 3000 is 600 and 10% of 3000 is 300. The pattern is an alternating plus 2 and times 2. 5. What is its perimeter? 6. 7.3? 4. 50 9. 9. Answer: 1/3 4. 6(s)2 = 6(52) = 6(25) = 150. What could be the measures of the other two angles? 2. a = 8.) What is 0. The number 84958ab where a and b are digits is divisible by 4. At this rate. Calculate: . If Bryan’s house is between Amy’s house and the school. 58% are girls. b = 8 Below is the second set of MTAP reviewers for Grade 4 students.5 minutes? 5. What is the difference between the largest and the smallest numbers that can be formed from 8. 7.8? 6.25.) Jim draw a triangle with one angle measuring 90 degrees. 0. Good luck! 1. a T-shirt was sold for 70% for its original price. 11. Grade 5 and Grade 6 students and possibly Grade 7 students. 1. 0. 0.) Amy’s house is 5/8 of a kilometer from school. 3.04 7. 12.) What is the product of 36.00. What is the greatest common factor of 240 and 270? 9. How much more water is needed to fill the container? 10. How many boys are there in the school? . How much is the original price. Anna bought the shirt for Php595. Bryan’s house is 1/2 kilometers away from school. solution) 8.) Jasmine types 26 words per minute.8.) What is the prime factorization of 36? 4.7 written as a fraction? 3. Find the maximum value of a + b. After a discount. A two liter of water was filled into a cubical container whose inner edge length is 15 cm.50 (7) 6174 (8) 30 (9) 2375 cubic centimeter (10)55 (11) 850 (12) 16. Answer key: (1) 3 (2) 8 (3) 10/3 or (4) 35 (5) 100 meters (6) Php722. how many words can she type in 8.2.5 and 0.) In a school with a population of 2300 students. how far is Amy’s house from Bryan’s house? (Problem of the Week 2. 2. and 5? 8.) Write the following numbers in increasing order.) What is the mixed form of ? 9. ) Fill in the blanks: ___ x 14 = 252 6.) A triangle with three equal sides is called _____ triangle 5. What is the perimeter of the blue rectangle? .g.) What is 34. what is ? 12. what is the area of the black square? 11.) The smallest square in the grid below measures 4 square units.) What is the value of w that makes the equation below true? ? Answers answers vary as long as they add up to 90.2 1/8 of a kilometer 966 9 square centimeters 61 42 TRY THIS EASY QUESTIONS BE MASTERED BY YOUR KIDS 1.) What is MDLXVII in Hindu Arabic numeral? 2.04. or 221 29. e. 20 and 70. 0.56 multiplied by 10? 4.) If the area of the larger square is 18 square centimeters.10.) If . 1. 0.2 0.) How many sides does a nonagon have? 3.25.8.) What is the sum of all the interior angles of a 5-sided polygon? 7. 9 3.254. 3. equilateral 5.) Kerry is twice as old as Mel. 405 c. 11 10. 18 6. 3.245 .452. 3. 3.542.254. 129 12. 3. 60 square units 9.) What is the area of the blue triangle above? 9. Sunday 11.) 268.) 645.245.) Arrange the following numbers in decreasing order: 3.6 4.) If the day before yesterday is Wednesday. 816 d. what day is the day after tomorrow? 11. The sum of their ages is 33. d 12.) 875. 1. 234 b.8.542. How old is Mel? 10. Answer.) 923. 540 7. 3. 345. 32 units 8. 1567 2.) Which of the following numbers is divisible by 3? a. 3.452. This is the fourth of the Grade 6 MTAP reviewer. 12 _____ 0.) What does the shaded part below represent in decimals? 6. 4/6 9.50 if you buy 50 apples ore more. 10:30. 1/3. Find the missing time: 10:00. one apple costs Php15.) Arrange this fraction from least to greatest? 1/6. or <. 1. 5/6. What is the perimeter of the figure below? 5.) What is the prime factorization of 18? 8. 10:15.137 in fraction form? 7.) The smallest figure below is a square with side 1 unit. How much will 75 apples cost? 3. What is the greatest common factor of 15 and 36? 1.) Fill in the blank with >.9 × 12 4.) What is 3785 rounded to the nearest thousand? 2. One hundred forty hours is equal to ____ days ____ hours 3. =. ____ .) What is 0.) In a wholesale store. How many primes are there between 20 and 30? 2. 1/3. 6. 3. . 0 2. 4/6.) Which makes this sentence true? 8 < 2 + __ a.50. 1.) What is the greatest common factor of 12 and 18? 4.) Which of the following fractions is greater than 1/2? . 1/6. 5 days. 10 5. > 4. 7 .) What is the least common denominator of and ? 7. 3 10. 3. . 5. 20 hours 12.) Arrange the following integers from least to greatest. 8. 5/6 (note that 1/3 is equal to 2/6) 9. Php1162. – 10. 6 c.8 6.) What must be added to to get 6? 8. 0.) Which of the following fractions is not equivalent to ? . 5 b. 3. 4000 2.) What is a polygon whose four sides have the same length but not all its interior angles are 90 degrees. -4. 29) 11. 2 primes (23. 137/1000 7.Answers 1. 2 × 3 × 3 or (2 × 3 squared) 8. 10:45 This is the fifth set of the Grade 6 MTAP Reviewer. 000 = ___ ten thousands 2. What is its perimeter? Answers 1. 12 7.) If the mean of the data below is 14. 7843. -10. 243 10. 8 2.) 600. 22. 8916 4. c 9.) What is the value of Q? 12.) What is the prime factorization of 18? 5.) What number goes into the blank? 1. 8/15 5.) The smallest square below has side 1 unit. 3. 10 12.) Which of the following numbers is divisible by 3? 6517. n 11.) The area of a square is 64 square meters. -4. 12. What is the perimeter of the rectangle below? . 17. what is the value of n? 16. __.) What type of triangle has side lengths 19. 9 10. 0. rhombus 3. 3. 2176. 11/13 6. 8. 13 11. 1. 6 4. 81. 32 Below is the sixth set of the MTAP Reviewer of Grade 6. and 19 units? 3.9. 14. 27. .) Camilla saves 300 every month from her allowance from January to November. 22 and 6 . 8916 4. 12.) The sum of two numbers is 28 and their difference is 16.) What is the next term in the pattern? . 7. What are the numbers? Answers 1.6. 60 2.) What is exactly 3 hours before 1 pm? 10. How much was all his savings for 1 year? 11. 2 × 3 × 3 5. Php 2900 11. she saved 1600 due to Christmas presents.) 160 hours = __ days __ hours 8. 18 units 6. 16 hours 8. 10 am 10. 6 days. 9 9. 12.) What is the area of rectangle above if the side length of the smallest square is 2 cm? 7. isosceles 3. In December. . 72 square cm.) What is of 20 plus of 20? 9. 000 = ___ ten thousands 2.) What is the prime factorization of 18? 5.) What is exactly 3 hours before 1 pm? 10.) What is the area of rectangle above if the side length of the smallest square is 2 cm? 7.) What is the next term in the pattern? .) The smallest square below has side 1 unit.) What is of 20 plus of 20? 9.) 160 hours = __ days __ hours 8. In December. 8916 4. she saved 1600 due to Christmas presents. . . What are the numbers? .) Camilla saves 300 every month from her allowance from January to November. 1. 7843. What is the perimeter of the rectangle below? 6.Below is the sixth set of the MTAP Reviewer of Grade 6.) The sum of two numbers is 28 and their difference is 16. and 19 units? 3. 22. 12.) Which of the following numbers is divisible by 3? 6517. 2176. How much was all his savings for 1 year? 11.) 600.) What type of triangle has side lengths 19. This week he was absent on Monday. What is the length of the third side? 5. what day will be February 1? 3. Two of its sides are 17 cm and 8cm. 8916 4. 1. isosceles 3. 10 am 10. its quotient is 12 and its remainder is 3. 18 units 6. 9 9. 2 × 3 × 3 5. 12.) What is 875 ÷ 100? 6.) The smallest grid in the figure below is 1 cm. What is the number? 2.) What is the value of (12 × 4) – (5 × 5)? 4.) If January 30 is Monday. What is the perimeter of the figure? 7.) The volume of a figure is 64 cm. 7. Php 2900 11. 16 hours 8. 6 days. 22 and 6 This is the 7th set of the MTAP Reviewer for Grade 6. how much is this salary this week? .) Jimmy works part-time waiter in restaurant for four hours a day from Monday to Friday and receives his salary weekly. If he is paid Php50 an hour. Its length and width are both 4 cm. 60 2.) When a number is divided by 5. 72 square cm.Answers 1.) The perimeter of an isosceles triangle is less than is less than 40 cm. What is the figure? 8. 1.) cube 8.) 17 12.) If the ratio of two numbers is 5:8.) In a 50-item test. Who got the highest score? 8.4m wide and 18.) 63 2.) The smallest number that gives a remainder of 4 when divided by 3.) If 50 – 12 – n = 21.) A garden is 12. and Ralph answered 17/25 correctly. what is n? 12. What is 4#5? 5.00 9.) Wednesday.9. 10. 7.000 are there in 1 million? 3.) How many centimeters are there in 12. Carrie answered 4/5 correctly.5 meters long.5 meters? 6.) 2672 11. 4.) square 10.) Php800. If the smaller number is 35.) 19/3 This is the eight set of the MTAP Reviewer for Grade 6.) 8.75 6.) What is the largest integer less than 17/3? 4. 3. what is the larger number? 7.) 14 cm.) A __ is a shape with 4 equal sides and equal angles.) How many 10. What is its perimeter? .) What is the value of MMDCLXXII? 11.) The operation a#b means 2× a + 3× b.) What is as an improper fraction? Answer 1. Jamie answered 7/10.) 8 cm 5. or 5. 2. January has 31 days.) 23 4. ___ 3.002? 5. Benny bought 1 dozen of each fruit.) 64 2.) What is 1/4 of 8 added to ¾ of 16? 9. What are the three numbers? . How much did he spend in all? 10.) The sum of two numbers is 20.) 61. 16. what day is March 31 of the same year? 10. 28.) 23 5. What are the two numbers? 2.) 5 4.8 meters 9. 21.) Three apples cost 35 pesos and three oranges cost 25 pesos.) 56 7.) Carrie 8.) 36 Below is the 9th set of MTAP Reviewer for Grade 6.) The volume of a cube is 27 cubic centimeters. Its perimeter is 62 cm.) The sum of three consecutive numbers is 63.) The length of a rectangle is 3 more than its width.) If March 14 is a Friday.) What is the next number in the pattern 12. What is its surface area? 4.) What is the least common multiple of 12 and 36? Answers 1.) What is 11+ 22 + 33? 7. 1.) 240 pesos 10. 13. What its width? 6.9.) What is 7 1/5 – 3/5? 8.5 + 4.85 + 1.) 1250 cm 6. Their difference is 10.) What is the sum of 2.) 100 3. ) A room is 6m long.) 8. 16% of the passengers travel first class and 56% travel third class.) 15 and 5.) 20.00.) A weighs 60kg. what area is to be painted? . B weighs 25% less than C. A machine can reduce the time in the ratio 3:10. Now. cm.6dm long can be cut from a roll 66m long? 9.) A worker can assemble a toy boat in 6 hours. ----------->>> VERY IMPORTANT QUESTIONS FOR MTAP CHALLENGE Part I 1. how much does each man receive? 7. If 238 travel second class. If the door and windows have a combined area of 14m^2.) 14 9. and 22. 2. How long will the machine take to assemble the toy boat? 3. A second square has a side of 12cm.) 54 sq.) 32 7.352 5.5m wide if a bag of cement can cover 12m^2? 6.) 6 3/5 8.) 14 6. March 30 is a Sunday. so March 21 and 28 are also Friday. March 29 is a Saturday.) 37 3.) On a boat.) A store employs 2 men and 5 women. Each man is paid 1 ½ times that of a woman.) What is the least common multiple of 90 and 126? 2.) March 14 is a Friday.) How many bags of cement will you buy to pave a path 28m long and 2. What is the ratio of their areas? 4. 10. 4. how many passengers are in the boat? 5.) How many pieces of string 3. 21.5m wide and 3m high. March 31 is a Monday. what is the weight of B? 8.) A square has a side of 8cm. 4. The ceiling and 4 walls are to be painted. If C weighs 20% less than A.Answers 1. If each day the store owner pays P2 400. 2. 20 more soldiers joined them. It is replaced by a new pipe whose circumference is 1cm longer than the circumference of the first pipe.50 each.) Nine small squares are put together to form a bigger square. The average of 11 consecutive numbers is 15.00 each. 4 and so on are called consecutive numbers. one-fourth. What is the smallest number of pictures that Lyn has? 11. After 6 days.7cm^3 is put into a cylindrical container of radius 3cm containing water to a depth of 30cm. What is the sum of the last three numbers? 2.) One hundred fifty soldiers on a camp had enough food for 40 days.) There were apples in a box intended for 6 persons. Three pineapples went bad but the vendor was able to sell the rest at P25. what is the area of each small square? 14. one-fifth and one-eighth of the apples were given to the four of the persons in the group.0cm. how many apples were originally in the box? . One-third.50 with a gain of 15%. 13. What is the resulting depth of the water to the nearest whole number? 15.) A piece of metal 84.) A vendor bought 80 pineapples at P28. For how long will remaining food last? 3. Find his percent loss to the nearest whole number.) A pair of shoes was sold for P747. What is the area of the shaded region? (Use π ≈ 3. with 2 pictures left-over in each case. What is the diameter of the new pipe to the nearest tenth of a centimetre? Part III 1.) OABC is quarter of circle with a radius of 9cm. With 270 litres of gasoline.10.) A pipe has a diameter of 2. 3.) If the edge of a cube is increased from 6cm to 9cm. how many hours a day can the same machine be made work for 6 days? Part II 1. what is the ratio of the new volume of the cube to its original volume? 5.14) 4. If the perimeter of the big square is 72cm. If 10 apples were given to the fifth and 1 apple to the sixth.) Ninety litres of gasoline can be used by a machine to work at 8 hours a day for 3 days. What was the cost price of the shoes? 12.) Counting numbers like 1.) Lyn can paste in her album 4. 5 or 6 pictures. 00 and a bag.) 1.) 375 rabbits ------------------>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> .) 36cm^2 14.3cm Part III 1.) P750.00 and a bag. John got sick.) 27:8 5. w1 = 27.) 2. For this work.6% loss or 16% loss 13.) P650.) 6 bags 6.) John agreed to work after school for 8 weeks for a fixed weekly rate.) In an ancient village.) 4:9 4. 10 goats can be exchanged for 2 cows.2.) 12 hours Part II 1.00 12. w2 = 36 90 – 14 = 76m^2 10.) 120.8 hours 3.) 850 5.) 62 pictures 11. How many rabbits can be exchanged for 5 cows? Answer Key Part I 1.) $latex 81 \dfrac {\pi}{4} – \dfrac {81}{2}$ cm^2 = 23. He was given P250. John agreed to receive P850.085cm^2 4.) 183 9.) P450. 6 turkeys can be exchanged for 2 goats.) C = 27.) 15.) 630 2.00 3.) 30 days 3.) 33cm 15. 2. How much the bag worth? 3.) 36kg 8.) Average = 15 Sum = 165 Middle = 15 18 + 19 + 20 = 57 2. After 5 weeks.00 7. 10 rabbits can be exchanged for 2 turkeys. 05 x 76. 499 11.QUESTIONS WITH CORRECT ANSWERS TO MASTER 15-second questions – 2 points each 1. What is the area of the enlarged picture? Answer: 216 cm^2 9. what is 30. What is the smallest number of pictures for this to happen? Answer: 62 8. with 2 pictures left over in each case.) The perimeter of a square is 186 cm. how long will 4 men finish the same job if they work at the same rate? Answer: 12 days 7.) What is the sum of the largest prime less than 100 and the smallest prime greater than 100? Answer: 198 5.) 17 more than the sum of 33 and 19 is equal to what number? Answer: 69 2.) A 15 cm by 10 cm picture was enlarged so that its dimensions increased by 20%.cm.) If ¾ of the area of a rectangle is 84 cm2.) Rita can put her pictures 4.5 x 0.9 = 234.) What is the largest 5-digit number which rounds to 27. what is the whole area? Answer: 112 sq. 5 or 6 to a page in her album. 6 4.5 cm .) If 6 men can finish a job in 8 days. How long is one side? Answer: 46.000 to the nearest thousand? Answer: 27.545.) If 3.769? Answer: 23. What is the vertex angle? Answer: 66 degrees 10. 6.) The vertex angle of an isosceles triangle is 9o more than a base angle.) What digit(s) placed in the blank in 377_4 will make it divisible by 12? Answer: 0.4545 3. What is the smallest number of equal squares into which it can be cut? Answer: 20 (note: this question has a problem because it did not specify the unit of the small square) 3. What is the largest number? Answer: 47 2.) A bunch of new 50-peso bills are consecutively numbered A23486 to A23500.) What is the smallest number by which you can multiply 2520 to make it a perfect square? Answer: 70 5.) Two numbers are in the ratio 5:8.) A piece of plastic sheet is 4 m by 3.30-second questions – 3 points each 1. what is the area of each small square? Answer: 256 cm^2 . If it maintains the same average speed.) Find the product of the prime numbers immediately before and after 30. If the perimeter of the big square is 192 cm. What is the total peso value of the bills? Answer: P 750 3.) How many ribbons. what is the larger of the two numbers? Answer: 96 1-minute questions – 5 points each 1.) Five consecutive whole numbers have a sum of 225.) Nine small squares are put together to form a bigger square. Answer: 899 6. A second cube has an edge2/3that of the first cube.) One cube has an edge of 9 cm. What is the ratio of the volume of the first cube to that of the second cube? Answer: 27:8 2. each 17/8dm long can be cut from a roll 3 m long? Answer: 16 4.2 m. If the difference is 36. how far will it travel in 2 ½ hours? Answer: 200 km 4.) A train travels 60 km in ¾ hour. ) How many digits are printed by a printer that prints all the whole numbers from 1 to 728 inclusive? Answer: 2076 MTAP – DEPED MATH CHALLENGE 2018 GOODLUCK PARTICIPANTS! .) A piece of rope 75 m long is cut into three pieces in the ratio 4:5:6. March 10.) How many multiples of 12 are there between 200 and 290? Answer: 8 Do-Or-Die questions 1.) What is the 20th odd counting number? Answer: 39 2.5. What day is it 100 days from today? Answer: Sunday 6. is Friday. How long is the longest piece? Answer: 30 m Clincher questions 1.) To what exponent should 2 be raised to give a value of 512? Answer: 9 3.) Today.