Metrobank-MTAP-DepEd Math Challenge Reviewer for 2018 MTAP DepEd Challenge Directions: Check your answers analyze the solution given in every questions. Be sure you deeply understand the concepts involved. Test yourself again by answering the question. 1.
2.
27-(11+9)x4÷8+31= ______ Answer: 48 27-20x4÷8+31=N 27-80÷8+31=N 27-10+31=N 17+31=48 98 –89 –89 + 37 x (
- 4) = 268. What number is in
?
Answer: 11 98 –89 –89 + (37 x (
-4)) = 268
3. 28 and 832 thousandths is subtracted from 56 and 61 hundredths. What is the difference to the nearest tenths? Answer: 27.8 Subtract first 56.61 – – 28.832 = 27.778 then round to the answer to nearest tenths 27.778 = 27.8 4. Find the product of 3 033 and 94. Divide your answer by the difference of 1500 and 1 288. What is your answer to the nearest hundreds? Answer: 1300 Answer: 1300 (3 033 x 94) ÷ (1 500 – 500 – 1 1 288) = N 285 102 ÷ 212 = N 1344.8 = N The answer is 1344.8 then round to the nearest hundred 1300. 5. The quotient when 0.25 is divided by a number is 1000. What is the divisor? Answer: 0.00025 Answer: 0.00025 Divide 0.25 by 1000, the quotient is 0.00025 6.
What percent of 3 kg is 480 g? Answer: 16% Answer: 16% Convert first 3 kg to g, so 3 kg = 3000 g Look for the rate follow the formula R=P÷B
R = ? , B= 3000g, P= 480g R=3000 ÷ 480 R= 0.16 x 100 R=16% 7.
Express 84 minutes as a fraction of 4 hours in lowest term. Answer: Convert hours to minutes, so 3 hours = 240 minutes 84/240 change to lowest term 84÷12 = 7, 240÷ 12=20 so the answer is 7/20
8. Using only the number 43, how many times you will use it as a factor to get a product whose ones digit is 7? Answer: 43x43x43=79,507 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? Answer: 54÷13 = 4 remainder 2, 2 oranges left to Mary 10. Mother gave Kian and her younger sister Php 2, 115.00 to share between them. Kian spent Php 778.00 from his share and had Php 271.00 left. How much did Kian’s younger sister have? Answer: Php 1,066.00 Total money = PhP 2,155.00 Kian’s Share (Php788.00+271.00)= Php 1,049.00 Subtract the PhP 2,155.00 by PhP 1,049.00 the answer is Php 1,066.00 share of Kian’s younger sister. 11. A water jar can hold 36 cups or 24 glasses of water. If there are already 6 cups and 19 glasses of water in the jar, how many more cups of water can be put in the jar? Answer: 1.5 cups 12. There are 42 notebooks that are going to be given equally among 7 children. How many notebooks will each child receive? Answer: 42÷7 = 6 notebooks will receive by each child
13. Ricky had 24 boxes of chocolate candies. There were 350 chocolates candies in each box. He repacked all the chocolate candies into packs of 70 and sold them at Php 24.00 per pack. How much money did he collect from his total sale? Answer: 24 x 350 = 8400 chocolate candies 8400÷70 = 120 packs of 70 120 x PhP 24.00=PhP2880.00 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? Answer: Ratio of Jenny to Gerry is 2:6 change to lowest term 1:3 15. A rectangular tile is 2 cm by 4 cm. What is the area of a square with least number of tiles that can be placed side by side to form a square? Answer: 4cm 2cm
A tile is 2cm 2 tiles 4cm
2cm
, least number to form a square is = 4x4 = 16cm2
16. At a furniture store, a chair was sold for PhP 475.00 less than a side table and PhP 278.00 more than a kitchen dish cabinet. The total cost of three items was Php 4,175.00. What was the selling price of the side table? Solution: A chair = ___________ B chair = Side table – 475.00 C chair = Kitchen cabinet + 278.00 A+B+C = 4175.00 4,175 –(475-278) 4,175 - 197 = 3 978.00 A+B+C = 3 978.00 3 978.00 ÷3 = 1326.00 A = 1326.00 – chair B = 1801.00 – side table C = 1048.00 - Kitchen Dish Cabinet Answer: Side table = 1326.00+475 = PhP 1801.00
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 finished together in 12 hours? Solution: Ian = 5:2 = n:12 Joey = 10:3 = n:12 60 = 2n 120 = 3n n = 60/2 n = 120/3 n = 30 n = 40
Answer: Ian 30 boxes, Joey 40 boxes, so 30+40 = 70 boxes 18. Mother had 168 kg of flour. She packed it into 7/10 kg per .3/5 packs of flour were sold to Tasing at P 3.60 per pack. How much money did Tasing pay for the flour? Solution: 168 ÷7 = 1680 = 240 packs 10 7 3/5 of 240 = 3/5 of 240/1 = 720 = 144 packs 144 packs x P 3.60 = P 518.40 Answer: P 518.40 19. Dario gave 1/3 of his oranges to his brother and donated 160 oranges to 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 term. Solution: 160 + 240 = 400 400 is 2/3 of n ; look for the base 400 ÷2/3 = 1200/2 = 600 240/600 ÷ 120 = 2/5 Answer: 2/5 20. What is the missing 1,4,4,7,10,16,25,40,______? Solution: 1+4 = 5-1 = 4 4+4 = 8-1 = 7 4+7 = 11-1 = 10 7+10 = 17-1 = 16 10+16 = 26-1 = 25 16+25 = 41-1 = 40 25+40 = 65-1 = 64 Answer: 64
number
in
the
sequence?
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? Solution: 9/9 all fruits - 5/9 oranges = 4/9 remaining fruits 1/3 of 4/9 = 4/27 apples 2/3 of 4/9 = 8/27 guavas Answer: 2/3 x 4/9 = 8/27 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? Solution: 21-Nx3÷8=6 6x8 = 48, 48÷3 = 16, 21-16= 5 Answer: 5 23. The price of the kilogram of fish increased 3 ½ times during summer. How many percent was the increased? Answer: 3 ½ = 3.5 x 100 = 350% -base100 =250% 24.
If 4/7 of a number is 112, what is 7/4 of the number? Answer: 4/7 of N = 112 then 7/4 of N = N 112÷4/7 = 112 x 7/4 = 784/4 = 196 7/4 x 196 = 1372/4 = 343
25. What is the difference of 4 and 2 hundredths and 3 and 27 thousandths? Answer: 4.020 – 3.027 = 0.993 26.
If 25 + - 115 = 75, what number is in Answer: 165 25 + - 115 = 75 115+75 = 190, 190 – 25 = 165 Check: 165 +25 = 190 , 190 -115 = 75
?
27. Basha bought 8 t-shirts and 5 pairs of shorts pants for PhP 1,062.00. Each pair of short pants cost twice as much as a t-shirt. How much is the cost of the t-shirt? Answer: P 59.00 cost of t-shirt 8 t-shirts = 8, 5 short pants x 2 = 10 8+10 = 18 Php 1,062 ÷ 18 = PhP 59.00 t-shirts 8 x 59 = 472.00, short pants 118 x 5 = 590.00 so 472.00 + 590.00 = Php 1 062.00
28. Each box contains 48 candies. Out of 77 boxes of candies, 29 were sold. The remaining boxes of candies were repacked in packs of 50. How many packs of 50 candies were there? Answer: 77 – 29 = 48, 48 x 48 = 2304 / 50 = 46.08 so therefor there are 46 packs of 50 candies. 29. The ratio of two numbers is 7:9. If their sum is 192, what is there difference? Answer: Add the ratio 7+9 = 16, then 192 ÷16 = 12 7x12 = 84 , 9x12=108, 108 + 84 = 192 (sum) 108 – 84 = 24 (difference) 30. Pens are sold in bundles of 25. For every 5 bundles of pens that you buy, you will get an extra of 3 pens. If you want to buy 364 pens for your friends, how many bundles of pens must you buy? Answer: 25x5=125+3 = 128 = 5 bundles 128 = 5 bundles 128 = 5 bundles 384 = 15 bundles You need to buy 15 bundles of pens. 31. Three squares are place together to form a rectangle. If each square has an area of 93cm3, what is the perimeter of the rectangle formed? Answer: Area of 1 square is 9 cm2 each side of square is 3cm, therefore if you put together the 3 squares side by side it will have a length of 9 cm and a width of 3 cm so the perimeter is 24 cm. 9 cm 3cm 3cm
32. When Tessa bought a glass of juice for P 25.00 and a sandwich for P 48.00, she still had P 68.00 left in her wallet. How much money did Tessa have at the beginning? Answer:
Add expenses and money left to get the total money PhP 25.00 + PhP 48.00 + PhP 68.00 = PhP 141 total money of Tessa. 33. The volume of rectangular block is 3,000 dm3. What is its volume in cm3? Answer: Convert 3000dm3 to cm3 1dm3 = 1000 cm3 3000 x 1000 = 3,000,000 3,000,000 cm3 34. A baker packed 29 boxes of 9 cupcakes each pack and had 3 cupcakes left. How many more boxes of cupcakes would he get if he packed 3 cupcakes into each box instead? Answer: Get the total number of cupcakes (29x9)+3 = 264 cupcakes/3 = 88 boxes 88 boxes – 29 boxes = 59 more boxes 35.
The product of two-digit numbers is 351. What is their sum? Answer: The two digit number that you can use are 27 and 13. 27x13 = 351, so 27 + 13 = 40
36.
How many 25 thousandths are there in 5/8? Answer: 25 5/8 ÷25/1000 we cannot divide so use the reciprocal 5/8 x 1000/25 = 5000/125 = 25
37. What is the sum of the digits in the product of 23 hundreds and 2 tens? Answer: 10 2 300 x 20 = 46 000 = 4+6+0+0+0= 10 38. What is the sum of 3 consecutive odd numbers if the largest of these numbers is 19? Answer: 51 If the largest odd number given is 19, the three consecutive odd number are 15,17,19, then add them 15+17+19=51
39. A tank has a capacity of 50 liters. How many seconds will it be filled if its flow rate is 2.5 liters per second? Answer: 20 seconds Just divide 50 liter by 2.5 liters = 20. 40. Lito is weighing his school bag. He says “If I add 725 grams, it will weigh 2 kilograms.” How many grams does his bag weigh? Answer: 1275g 2kg = 2000g – 725g = 1275g 41. There are 36 packs of candies in a box. The packs of the candies are divided equally among 4 children. How many packs will each child receive? Answer: 9 packs 36 packs divided by 4children = 9 42. Twenty-seven apples are put in boxes. There are 6 boxes. How many boxes contain exactly the same number of apples? Answer: 5 boxes 27 apples divided by 6 boxes = 4.5 round to the nearest whole number answer is 5. 43. Liza has read 4/5 of the total number of pages of a book. Today, she reads 21 pages. She still needs to read 1/10 of the total number of pages to finish reading the book. How many pages does the book have? Answer: 210 pages 4/5 is equal to 8/10, 1/10 = 21 pages of the book so 10/10 or the whole book is 210pages. 44. Teresa has 53 apples. She is going to give them equally to 13 children. How many more apples does she need so that each child will received 6 apples? Answer: 25 apples 13 children x 6 apples = 78 apples, there are already 53 apples so 78 – 53 = 25. 45. A container holds 8 times the amount of water in a cup that holds 2 deciliters of water. How many deciliters of water can be poured into the container? Answer: 16deciliters 8 x 2 = 16
46. The sum of 2 numbers is 100. Their difference is 20. What is the quotient when the bigger number is divided by the smaller number? Answer: 1.5 100 – 20 = 80 ÷2 = 40 smaller number, 40+20= 60 bigger number, 60+40=100, 60-40 = 20, 60 ÷40 =1.5 47. Betty has PhP 60.00 and Nena has PhP 120.00. How much money must Betty give to Nena so that the amount of money Nena has is 5 times that of Betty? Answer: PhP 30.00 Betty must give PhP 30.00 to Nena so that if Nena’s money divide by Betty’s money it is 5 times as many as Betty’s. 48. There are 99 1-cm cubes. If the cubes are arranged to form 3 cubes of different sizes. What is the length of the sides of the smallest cube formed? Answer: 2cm 4x4x4 = 64pcs 3x3x3 = 27pcs 2x2x2 = 8pcs 99pcs 49. What is the 49th number in 4,11,18,25,32,39,...? Answer: 340 (n -1) interval + the first number 49-1 = 48 x 7 = 336+4 = 340 (Note; n=the place of the last number)
the
sequence
50. Kate collects coins. Everyday, she gets 6 additional coins, On every 4th day, she gives 4 coins to her sister. If Kate started with 24 coins, on which day will Kate have 70 coins? Answer: 9th day
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