Math Questions Back Up September 2016

MATH I Algebraic Expression, Percent, Decimal & Fraction Direction: For each item, select the letter that corresponds to your answer. 1. Find the sum: 299 + 943 + 398 + 101 = _____. a. 1,531 c. 1,741 b. 1,641 d. 122,222 2. If 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 then 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = _______. a. 65 b. 155 c. 125 d. 550 3. If 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 then 101 + 102 + 103 + 104 + 105 + 106 + 107 + 108 + 109 + 110 = ______. a. 1,055 c. 1,075 b. 1,065 d. 5,500 4. Evaluate: {16 – (24 – 8) + 22 x 8 – 8} = _____. a. 40 b. 48 c. 64 d. 168 5. If 23 + 28 + 37 + x + 53 = 168 and 23 + 28 + 40 + y + 50 = 120. Find the value of x – y? a. 36 b. 48 c. 56 d. 64 6. Find the product: 800 x 125 = _____. a. 925 c. 10,000 b. 1,000 d. 100,000 7. Find the quotient: 8 000 ÷ 125 = _____. a. 48 b. 64 c. 80 d. 88 8. What is the remainder when 192,888 is divided by 8? a. 0 b. 4 c. 8 d. 24,111 9. Rounding 299,943 to the nearest thousand the result is: a. 299,940 c. 299,900 b. 299,000 d. 300,000 10.398.101 is read as: a. three hundred ninety eight, one hundred one b. three hundred ninety eight and one hundred one c. three hundred ninety eight and one hundred one hundredths d. three hundred ninety eight and one hundred one thousandths 11.16 is what percent of 80? a. 4 % c. 20% e. 50% b. 16% d. 40% 12.What is 8% of 150? a. 15 c. 12 e. 24 b. 16 d. 25 13.15 is 75% of what number? a. 20 c. 25 e. 30 b. 24 d. 45 14.What is 72% in decimal? a. 0.72 c. 72.0 e. 7,200 b. 7.2 d. 720 15.What is 2,005 in percent? a. 0.2005% c. 200.5% e. 20.050% b. 20.05% d. 2005% 16.27,499 round to the nearest hundred is ________. a. 27,400 c. 27,000 b. 27,500 d. 28,000 17.Twenty-four weeks is how many days?

a. 140 b. 168 c. 176 d. 196 18.Five hundred ninety-five days is how many weeks? a. 119 b. 95 c. 85 d. 75 19.Simplify: 33 ⅓% of 48 + 12 ½% of 96 – 44 4/9% of 27 = _______. a. 12 b. 16 c. 24 d. 48 20.Reduce 231 to its lowest terms. 1,001 a. _7_ b. _3_ c. _3_ d. _17_ 11 31 13 13 21.Which of the following is true? a. - 16 > 8 c. 54 - 8 ≥ 8 54 b. 8 = 1 d. _9_ = _1_ 64 4 117 17 22.Find the value of x: x = [3 (72) + 5(35)] a. 27 b. 36 c. 45 d. 52 23.What is 25% of 228? a. 52 b. 57 c. 54 d. 912 24.The difference between 8 times a number and 17 is 231. Find the number. a. 31 b. 37 c. 48 d. 1,984 25.168 is what percent of 672? a. 25% b. 50% c. 400% d. 80% 26.Evaluate: 123 x 0.1 + 123 x 0.01 + 123 x 0.001 = _____. a. 13.653 c. 1,356.3 b. 135.53 d. 13 563 27.Find 3 ¼ of 16 = ______. a. 7 b. 16 c. 39 d. 52 28.Evaluate: 1 + ½ + ¼ + ⅛ = ______. a. 1 3/16 c. 1 5/8 b. 1 3/8 d. 1 7/8 29.Find the value of x in the equation 3x + 7 = 28. a. { 7 } b. {- 7 } c. { + 7 } d. { 4 } 30.Which of the following has the greatest value? a. ___8____ c. ___1____ (62)(82) (63)(82) b. ___16___ d. __ 168___ 2 2 (6 )(8 ) (64)(83) 31.Which of the following cannot yield an odd integer when divided by 10? a. The sum of two odd integers b. The product of a prime number and an odd integer c. The product of two odd integers d. The sum of three consecutive integers 32.If 8x + 12 = 24, what is the value of 24x + 26? a. 46 b. 74 c. 10 d. 62 Geometry Direction: For each item, select the letter that corresponds to your answer. 33.The perimeter of a square of land is 1040 meters. What is the length of its side? a. 520 meters d. 320 meters b. 160 meters e. None of the above c. 260 meters

34.A circle has a diameter of 8.5 cm. What is its radius? a. 4.25 cm d. 17 cm b. 3.75 cm e. None of the above c. 12.5 cm 35.The length of a rectangular field is 260 meters and its width is 50 meters. What is its area? a. 310 sq. meters b. 620 sq. meters c. 5,800 sq. meters d. 1,300 sq. meters e. None of the above 36.The perimeter of a square is 88 centimeters. What is its area? a. 7,744 sq. centimeters b. 484 sq. centimeters c. 22 sq. centimeters d. 156 sq. centimeters e. None of the above 37.The diagonal of a rectangle is 13 meters while one side is 12 meters. What is its area? a. 60 sq. meters b. 2,530 sq. meters c. 50 sq. meters d. 156 sq. meters e. None of the above 38.A right triangle has legs of 20 and 15 cm. What is the length of its hypotenuse? a. 45 inches d. 25 inches b. 30 inches e. None of the above c. 35 inches Number Series Direction: For each item, select the letter that corresponds to your answer. 39.3 4 6 8 9 12 12 _____ a. 12 c. 14 e. 16 b. 13 d. 15 40.1 5 9 13 17 21 _____ a. 24 c. 25 e. 26 b. 23 d. 27 41.1 1 2 5 8 13 _____ a. 19 c. 21 e. 23 b. 20 d. 22 42.1 3 6 8 _____ a. 10 c. 14 e. 18 b. 12 d. 16 43.5 8 9 12 13 _____ a. 12 c. 14 e. 16 b. 13 d. 15 44.4 8 16 32 64 _____ a. 256 c. 128 e. 192 b. 144 d. 104 45.7 17 37 77 157 _____ a. 177 c. 277 e. 317 b. 237 d. 297 46.4 8 9 18 19 38 39 _____ a. 68 c. 40 e. 80 b. 78 d. 41 47.1 2 3 2 3 4 3 4 5 4 5 6 _____ a. 4 c. 6 e. 8 b. 5 d. 7 48.1 a. b. c.

10 100 1,000 10,000 _____ 1,000 d. 1,000,000 10,000 e. 10,000,000 100,000

Number Analogy

Direction: For each item, select corresponds to your answer. 49.2 is to 8 as 7 is _____. a. 3.5 c. 14 e. b. 21 d. 28 50.3 is to 2 as 9 is to _____. a. 3 c. 6 e. b. 8 d. 18 51.5 is to 25 as 7 is to _____. a. 14 c. 28 e. b. 77 d. 70 52.3 is to 0.6 as 10 is to _____. a. 20 c. 2 e. b. 5 d. 1/10 53.9 is to 27 as _____ is to 12. a. 4 c. 24 e. b. 8 d. 36 54.8 is to 12 as _____ is to 3. a. 3.5 c. 4.5 e. b. 2.2 d. 4 55.7 is to VII as ___ is to XIX. a. 21 c. 18 e. b. 19 d. 88 Largest Value Direction: Select value. 56. a. 1/5 b. 1/2 57. a. 0.047 b. 0.06 58. a. 3/4 b. 4/5 59. a. 9/20 b. 19/30 60. a. 4/9 b. 16/31

the letter that 10.5 27 49 0.5 144 2 99

the letter that has the largest c. 1/3 d. 1/6

e. 1/10

c. 0.0710 d. 0.02165

e. 0.00999

c. 5/6 d. 6/7

e. 7/8

c. 29/40 d. 39/50

e. 49/60

c. 1/2 d. 16/33

e. 99/199

Word Problem Directions: Select the best answer for each given situation. 61.A dozen eggs cost 63 pesos. How much do seven eggs cost? a. P38.25 d. P40.50 b. P36.75 e. None of the above c. P42.00 62.The sum of two integers is 63. If one of the integers is three more than twice the other, what are the two integers? a. 19 and 44 d. 17 and 46 b. 42 and 21 e. 18 and 45 c. 43 and 20 63.Mr. Gil Bates owns 3/8 of Macrohard. After selling 1/3 of his share, how much of Macrohard does Mr. Gil Bates still own? a. 5/16 c. 7/16 e. 1/4 b. 2/9 d. 5/8 64.Mrs. Fely was able to purchase a digital camera set that would cost him P 17,800. This amount represents the downpayment and six monthly installments of P1,800. How much is his downpayment? a. P6,000 d. P10,000 b. P7,000 e. None of the above

c. P9,000 65.Mr. Boy and Mr. Gerry together have P 200,000. If Mr. Boy has P 120,000, how much more money does he have than Mr. Gerry? a. P16,000 d. P40,000 b. P10,000 e. P30,000 c. P20,000 66.The ratio of the salary of Jose to that Joey is 5.4. If Joey receives P 10,000, how much is Jose’s salary? a. P12,000 d. P7,500 b. P12,500 e. None of the above c. P8,000 67.Rico spent ¼ of his money on a pair of socks, 1/5 of it on a magazine and P 50 on a snack. If he had P 82 left, how much money did he start with? a. P200 c. P240 e. P360 b. P320 d. P280 68.Miss Venus receives a 2% commission for every car she sells. If she gets a total commission of P 128, 000 what is her total sales? a. P25,600,000 d. P5,400,000 b. P2, 560,000 e. None of the above c. P7,200.000 69.Mary has a long strip of cloth that is 9 ¾ decimeters long. If she cuts it into three equal parts, how long would each piece be? a. 4 ½ decimeters d. 3 ¼ decimeters b. 4 ¾ decimeters e. 2 ¼ decimeters c. 3 ¾ decimeters 70.In department, 45% of the employees are women. If there are 220 men in the department, how many employees are there? a. 400 c. 330 e. 360 b. 500 d. 430 71.Three mangoes and a banana cost 65 pesos while one mango and three bananas cost 35 pesos. How much does two mangoes and two bananas cost? a. P50.00 c. P52.50 e. P51.80 b. P48.50 d. P54.00 72.It takes Michael 35 minutes to go to his school. If he doubles his speed, how long will his trip take? a. 17.5 minutes b. 25 minutes c. 1 hour and 10 minutes d. 90 minutes e. 70 minutes 73.A conductor earns 320 pesos for every three trips he makes. How much does he earn if he makes 12 trips? a. P2,560 c. P1,280 e. P2,120 b. P3,840 d. P640 74.Jean is three times as old as Dave. If Dave is 32 years younger than Jean, what is the sum of their ages? a. 32 c. 16 e. 96 b. 64 d. 48 75.It took Earl 35 minutes to drive from her house to his office 20 kilometers away. In the return trip, he took just 25 minutes. What is his average speed? a. 20 kph c. 30 kph e. 50 kph b. 10 kph d. 40 kph

76.Successive discounts of 10% and 30% are equivalent to what single discount? a. 37% d. 35% b. 40% e. None of the above c. 30% 77.Ria Valce wants to divide a wooden log 7 ½ meters long into six equal parts using a terrorblade. How long will each division be? a. 1 1/2 meters d. 1 1/6 meters b. 1 1/4 meters e. 1 1/3 meters c. 1 1/8 meters 78.Gail got scores of 12, 20, 16 and 17 in her first four quizzes. What score must she get in the next quiz to have an average of 17 in the five quizzes? a. 18 c. 17 e. None of the above b. 20 d. 19 79.Together, Dennis, Rey and Luis earn 72,000 pesos a month. If Dennis earns 6,000 pesaos more than Rey and 9,000 pesos more than Luis, how much does Dennis earn? a. 29,000 c. 21,000 e. 24,000 b. 26,000 d. 23,000 80.I have ten coins made up of 5-peso and 10peso coins. If these ten coins are worth 70 pesos, how many more 5-peso coins than 10peso coins do I have? a. 1 c. 3 e. 5 b. 2 d. 4 81.The amount of last year month’s telephone bill, decreased by the product of 3 and p 30.00 equals P1,319.50. a. P1,229.50 c. P1,310.50 b. P1,289.50 d. P1,409.50 82.Eighteen less than seven times the number of sandwiches is 269. How many sandwiches are there? a. 32 b. 41 c. 44 d. 45 83.A house and lot are sold for P 14 M. The house costs 1.5 times as much as the lot. How much does the lot costs? a. P5.6 M c. P10.5 M b. P8.4 M d. P21 M 84.The sale price of a television set is P 7 200. The discount rate is 40%. Find its regular price. a. P4,320 c. P6,800 b. P12,000 d. P10,000 85.Paula is twice as old as Queenie. Seven years ago the sum of their ages was 16. How old is Queenie now? a. 8 b. 10 c. 16 d. 20 86.A patient must take his medication every 7 hours starting at 7:00 A.M., Sunday. On what day will the patient first receive his medication at 8 A.M.? a. Sunday c. Thursday b. Wednesday d. Tuesday 87.Of the 3000 grocery shoppers surveyed, 96 did not have a regular day of the week on which they shop. What percentage of the shoppers did not have a regular day of shopping? a. 32% b. 48% c. 64% d. 96% 88.A water container has 100 ml of water in it and is 20% full. How many ml of water can this container hold if it is full? a. 200 ml c. 500 ml

b. 400 ml d. 800 ml 89.A starting salary of a secretary at ABC Computer Specialists is P 15 000 a month. Next year the starting salary will be raised to P 18 000. What is the rate of increase in the starting salary? a. 3% b. 20% c. 25% d. 30% 90.Last month a store manager decided to decrease the prices of all items by 10%. This month he increased the prices by 10%. What would be the price for a pair of pants that had cost P 750 before prices were decreased last month? a. P742.50 c. P675.000 b. P750.00 d. P825.00 91.When the original price of an item is increased by a certain rate, the increased price is P 3 100. When the original price is decreased by the same rate, the decreased price is P1 900. What is the original price of this item? a. P1,200 c. P2,500 b. P200 d. P2,800 92.How much one has to invest in corporate bonds paying 9.6% in order to earn an income of P12,000 per month? a. P11,520 c. P125,000 b. P23,040 d. P250,000 93.A race car travelled for 2 1/2 hours with an average speed of 132 5/8 km per hour. Find the distance it covered. a. 264 5/16km c. 330 5/16km b. 331 9/16km d. 135 1/8km 94.If the weight of a 241-kg freight car increases 3 1/8 times when fully loaded, what will be its weight with a full load? a. 750 3/8kg c. 720 5/8kg b. 824 3/8kg d. 753 1/8kg 95.How many liters will remain in a 1000-liter storage tank if 8.2% of the liquid has evaporated due to excessive heat? a. 918 b. 991.8 c. 999.18 d. 998

MATH II Algebraic Expression, Percent, Decimal & Fraction Direction: For each item, select the letter that corresponds to your answer. 1 For what value of x will x be the average of 2, 4x, 6, 8, 10? a. 4 b. 12 c. 26 d. 39 2 How many integers between 197 and 303 are divisible by 4 or 10? a. 25 b. 26 c. 31 d. 37 3 12 is what percent of 300? a 1% c. 4% e. 3% b 2% d. 5% 4 What is 17% of 20? a 1.7 c. 3.6 e. 2.8 b 3.4 d. 2.6 5 27 is 33 1/3% of what number? a 3 c. 27 e. 81 b 9 d. 54 6 What is 5% in decimal? a 0.005 c. 0.5 e. 50 b 0.05 d. 5.0 7 What is 5/8 in percent? a 5.8% c. 58% e. 62.5%

b 0.58% d. 6.25% 8 What is 37 ½% in fraction? a 37/5 c. 3/8 e. 1/12 b 1/8 d. 5/6 9 126 is 3/7 of what number? a 54 c. 119 b 84 d. 294 10 0.0075 x 1000 = ______. a 0.075 c. 7.5 b 0.75 d. 75 11 If 20 is 25% of x + 7, then x = ______. a. 73 b. 80 c. 87 d. 93 12 What is the value of 60 x 31 x 36 x 7? a 468,720 c. 468,722 b 468,721 d. 468,723 13 If the ration a : b is 11 : 9, then a + b is ________. a 9 b 11 c 20 d can’t be determined from the given information 14 Write 0.5 % as decimal. a. 5 b. 0.5 c. 0.05 d. 0.005 15 What is the value of 6 a2 b3 if a = 2 and b = 3? 9 a. 18 b. 24 c. 36 d. 72 16 What is the average of the first 20 positive integers? a. 9 b. 9.5 c. 10 d. 10.5 17 How many times does the digit 7 appear in the numbers from 1 to 100? a. 9 b. 10 c. 19 d. 20 18 The decimal form of 0.56% is _____. a 0.0056 c. 0.56 b 0.056 d. 56 19 The sum of three consecutive integers is 54. Find the smallest integer. a. 16 b. 17 c. 9 d. 19 20 If 4 miles = 6.44 km., then 14.49 km. equals how many miles? a. 7 b. 8 c. 9 d. 10 21 16 + 4 x (7 + 8) – 3 = ______. a. 117 b. 145 c. 73 d. 65 22 (18 + 17) (12 + 9) – (7 x 16) (4 + 2) = _____. a. 53 b. 63 c. 321 d. 323 23 Which of the following numbers is divisible by 24? a. 192 b. 268 c. 248 d. 596 24 Which of the following numbers is prime? a. 57 b. 87 c. 89 d. 91 25 The difference of 476 and 182 is _____. a. 654 b. 86632 c. 314 d. 294 26 Evaluate 1 2 3 = ______. 100 1000 10 a. 0.213 b. 0.312 c. 0.123 d. 0.231 27 Evaluate 1 1 1 = ______. 2 4 8 a. 3/14 b. 3/16 c. 3/12 d. 7/8 28 “Seventy-one and twenty-one ten thousandths” is written in standard form as: a 71.2100 c. 71.210000 b 71.0021 d. 71,210

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5 1 = _____. 3 6 2 a. 1 2/3 b. 7/11 c. 1 1/3 d. 3/5 30 1 2 = _____. 3 1 2 3 a. 1 1/6 b. 5 1/6 c. 6 1/5 d. 1 5/6 31 1 1 = _____. 5 ÷2 2 3 a. 2 5/14 b. 12 5/6 c. 6/77 d. 2 2/3 32 2 + 4 = _____. 1 1 2 3 a. 1 1/5 b. 7 1/5 c. 15 d. 30 Geometry Direction: For each item, select the letter that corresponds to your answer. 33 Four times the perimeter of a parking lot is 16 less than 2 000 meters. What is the perimeter of the lot? a. 496m b. 504m c. 992m d. 1,008m 34 The lengths of the sides of a triangle can be represented by three consecutive integers. The perimeter of the triangle is 96 cm. Find the length of the longest side of the triangle. a. 28 b. 32 c. 33 d. 36 35 The length of a rectangle is 8 meters more than twice its width. The perimeter is 112 meters. Find its area. a. 16m b. 24m c. 28m2 2 d. 640m 36 How many containers each occupies an area of 2 1/8 square meters can be stored in a 952 square meter warehouse? a. 358 b. 448 c. 530 d. 630 37 How much be cut from the edge of a piece of glass 16 1/8 cm wide, in order for it to fit into an opening 14 ¾ cm wide? a. 2 3/8cm c. 1 3/8cm b. 1 7/8cm d. 2 5/8cm 38 The question “How many flowers are needed to border a rectangular garden?”, involves: a. weight c. volume b. perimeter d. area Number Series Direction: For each item, select corresponds to your answer. 39 6 13 27 55 111 _____ a 123 c. 223 b 222 d. 122 40 1 5 10 16 _____ a 25 c. 21 e. b 23 d. 19 41 2 3 4 6 8 9 16 _____ a 14 c. 15 e. b 16 d. 32 42 1/2 2 7/12 5 _____ a 11/2 c. 4 e. b 13/2 d. 9/2 43 5 6 8 11 15 20 _____ a 24 c. 22 e. b 28 d. 21 44 1 2 3 6 7 14 _____ a 30 c. 28 e. b 17 d. 15

the letter that e. 144 17

45 8 24 72 216 _____ a 710 c. 536 e. 646 b 864 d. 432 46 5 7 9 10 14 18 15 21 27 20 28 _____ a 32 c. 36 e. 30 b 35 d. 33 47 -1/2 1/4 -1/8 1/16 _____ a -1/32 c. -1/16 e. 1/64 b 1/32 d. -1/64 48 33.3 55.5 77.77 99.9 _____ a 122.1 c. 101.1 e. 112.1 b 111.1 d. 121.1 Number Analogy Direction: For each item, select the letter that corresponds to your answer. 49 169 is to 13 as 9 is to ____. a 81 c. 27 e. 6 b 3 d. 36 50 5% is to 1/20 as ___ is to 1/8. a 17.6 % c. 12.5% e. 10% b 18% d. 8% 51 5 is to 0.2 as ___ is to 0.25. a 1 c. 4 e. 8 b 2 d. 5 52 98 is to 490 as 4 is to ___. a 16 c. 20 e. 12 b 2 d. 8 53 5 is to 1.25 as 96 is to ___. a 24 c. 9.6 e. 18 b 32 d. 46 54 1/5 is to 0.2 as 1/2 is to ___. a 0.1 c. 0.2 e. 0.12 b 0.5 d. 0.125 55 9 is to 81 as 8 is to ___. a 16 c. 48 e. 80 b 32 d. 64 Largest Value Direction: Select value. 56 a 5,855 b 5,585 57 a 2,910 b 2,880 58 a 83/9 b 28/3 59 a 65/88 b 3/4 60 a 283.59 b 283.74

the letter that has the largest c. 5,558 d. 5,555

e. 5,588

c. 2,907 d. 2,898

e. 2,905

c. 71/7 d. 19/2

e. 99/11

c. 43/60 d. 29/36

e. 73/100

c. 284.73 d. 248.37

e. 238.47

12 8 26 16

Word Problem Directions: Select the best answer for each given situation. 61 A DVD player is on sale at a price of P 2,000. If the discount is 20%, what is the original price of the DVD player? a P 2,500 d. P 2,300 b P 2,400 e. P 2,450 c P 2,250

62 The Manila Metrostars scored 120 points twice and 105 points three times in five games versus Hotdogs. What is Manila Metrostar’s average score? a 110 points d. 115 points b 117.5 points e. 111 points c 112.5 points 63 Mr. Banay received a commission of P 40,000 for selling real estate in Sta. Elena worth P 2,000,000. What is the rate of commission? a 5% c. 4% e. 8% b 2% d. 1% 64 Lydia deposited money at a bank at 10% compounded annually. If her money became P 137,500 at the end of one year, how much is his original deposit? a P 115,000 d. P 125,000 b P 110,000 e. P 130,000 c P 100,000 65 Miss Akasya types at a rate of 75 words per minute. At this rate, how long will it take her to type a manuscript of 3600 words? a 48 minutes d. 50 minutes b 45 minutes e. 60 minutes c 54 minutes 66 A rectangular lot has a perimeter of 140 meters. If the length of the lot is 20 meters more than its width, what is its area? a 3,200 sq. meters d. 4,075 sq. meters b 2,500 sq. meters e. None of the above c 1,125 sq. meters 67 The gas tank of Mr. Dai’s car is 5/8 full. If he used 2/5 of this amount travelling from his house to his province, what part of the tank has gas? a 7/40 c. 7/15 e. 1/2 b 3/8 d. 7/13 68 56 men can build a small building in 20 days. At this rate, how many days can 35 men build a small building? a 12 ½ c. 48 e. 24 b 25 d. 32 69 In Rhea’s garden, there are three roses for every two daisies. If there is a total of 45 roses and daisies, how many roses are there? a 15 c. 27 e. 24 b 18 d. 21 70 The difference between the squares of two consecutive positive integers is 17. What is the larger number? a 8 c. 11 e. 2 b 9 d. 7 71 In one day, the robots in a Sta. Rosa factory can make 10 cars. Two robots did not function, requiring the rest to make two more cars a day. How many robots were there originally? a 32 c. 16 e. 8 b 24 d. 12 72 Billy received his pension of P 10,000 on April 1 and spent it for his daily needs at a strict budget of 300 pesos a day. On what date will he have P 4,000 left? a April 10 d. April 20 b April 27 e. April 12 c April 15 73 Vince Alex invested $ 20,000 in a U.S. dollar at a ruralbank at an annual rate of 10%. How much will his investment be after two years? a $22,000 d. $24,400

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b $24,200 e. $22,400 c $23,800 The annual budget of a certain department amount to P2billion. From this amount, the budgets of the three bureaus are in the ratio 5:3:2. How much does the bureau with the smallest budget receive? a P400 million d. P1 billion b P600 million e. P800 million c P200 million The sum of two integers is 74. If their difference is 26, what is the bigger number? a 24 c. 48 e. 50 b 38 d. 46 Angelina spent 30% of his allowance on snacks, 40% on a book and had 45 pesos left. How much is her allowance? a P150 c. P120 e. P100 b P180 d. P200 Pipe A can fill swimming pool in three hours while Pipe B can fill same pool in two hours. If pipe A and Pipe B are both open, how long they will fill the swimming pool? a b

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1 hour d. 5 hours 72 minutes e. None of the above c 2.5 hours Alonzo walks from, his house to his office at a rate of six kilometers per hour. If it takes him 20 minutes for his trip, how far is it from his house to his office? a 1 km. c. 2 kms. e. 3 kms. b 1.5 kms. d. 2.5 kms. An office canteen needs X kilos of rice for each customer a month. If there are Y customers in the canteen, for how many months will Z kilos of rice last? a Y/XZ c. XYZ e. XZ/Y b XY/Z d. Z/XY Mr. Francisco bought garments at Divisoria for P 22,000. If he sold them all and grossed P 29, 700, how much profit did he make? a 35% c. 15% e. 20% b 25% d. 30% Breanna’s Construction machines depreciate at a rate of 10% a year? How much will the value of P 200,000 worth of machines be after three years? a P140,000 d. P145,800 b P110,000 e. P167,600 c P170,000 A right triangle has acute angles whose measures are in a ratio 4:1. How many degrees isa thew smaller angle? a 20 c. 18 e. 10 b 36 d. 9 The population of San Roque City in 2006 is 350,000 but decrease by 25% in 2007. In 2008, however, the population was restored to 350,000. What is the percent increase of population of San Roque City from 2007 to 2008? a 28 1/16% c. 25% e. 33 1/3% b 30% d. 20% A budget of P 256,000 was divided equally among 16 offices. How much was the share for each office?

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a P16,000 c. P8,000 e. P24,000 b P32,000 d. P20,000 Mr. Diaz purchased an air conditioner for a discounted price of P 10, 200. If he got a 15% discount, what was the original price? a P10,800 c. P11,800 e. P12,400 b P11,600 d. P12,000 In a basketball game in Los Angeles, the Lakers beat the Clippers by just one point. If the total score of the two teams is 199, how much did the clippers score? a 101 c. 90 e. 99 b 95 d. 100 During Holy Week, 25% of the office workers went out of town, 3/5 stayed at home while the rest, numbering nine, had to work overtime. How many total office workers are there? a 100 c. 50 e. 80 b 90 d. 60 A square lot has an area of 729 square meters. How many square meters is each side? a 31 c. 23 e. 27 b 33 d. 29 Diver Mia Mari received scores of 9.8, 9.9, 10, 10, 9.9 and 10. If the lowest and highest scores are disregarded, what is her average? a 9.92 c. 9.88 e. 9.95 b 9.93 d. 9.98 If there are 51 pesos to a dollar, how many dollars are there in 867 pesos? a 17 c. 15 e. 21 b 13 d. 19 Mr. Charing sold a plasma TV for P 42,500, a washing machine for P 4,700 and a DVD player for P 4,800. If he gets a 10% commission from sales, how much did he earn? a P4,800 c. P5,200 e. P5,000 b P4,900 d. P5,100 If it takes Mr. Baltazar three and half hours to negotiate a distance of 297.5 kilometers, what is his average speed? a 87 kph c. 85 kph e. 91 kph b 93 kph d. 89 kph The ratio of men to women in the national pool of athletes is 15:7. If there are 72 more men than women, how many athletes are there in the national pool? a 1,920 c. 1,080 e. 120 b 198 d. 192 There are three children in the Santos family, two of them twins. The sum of the ages of the children is 42 and the twins are 3 years older than Tricia, the youngest. How old is Patricia? a 14 c. 15 e. 16 b 12 d. 13 Mrs. Binag’s collection totaled P 23, 680. If he averaged P 1, 480 per day, in how many days did he amass she amass her given collection? a 16 c. 14 e. 20 b 18 d. 12

MATH III Algebraic Expression, Percent, Decimal &

Fraction Direction: For each item, select the letter that corresponds to your answer. 1 3% of 24 a. 0.72 b. 7.2 c. 72 d. 720 2 Find the average of 6.8, 3.5, 9.2, 7.45 and 6.05. a. 6.0 b. 6.6 c. 66 d. 660 3 Dividing by 0.2 is the same as multiplying by_____. a. ½ b. 0.5 c. 2 d. 5 4 0.012 ÷ 3 = _________. a. 0.0004 b. 0.004 c. 0.04 d. 0.4 5 2.944 ÷ 0.23 = ________. a. 0.128 b. 12.8 c. 1.28 d. 128 6 Which of the following best approximates 68/0.17 = _____. a. 0.4 b. 4 c. 40 d. 400 7 5/9 of what number is 435? a. 288 b. 87 c. 783 d. 29 8 Which of the following fractions is the greatest? a. 1/10 b. 0.1/0.10 c. 1/0.01 d. 1/0.001 9 27 -3 ÷ 32 8 a. 2 ¼ b. -2 ¼ c. 4 ½ d. -4 ½ 10 What is the average of A, B, C? a ABC/3 c. 3(A+B+C) b (A+B+C)/3 d. ABC/A+B+C 11 Which of the following has the LEAST numerical value? a 11/12 c. 5/7 e. 10/11 b 6/8 d. 3/4 12 2 is what percent of 5? a 25% c. 40% e. 45% b 38% d. 35% 13 Which of the following equation has the LEAST value? a 6+3x3 d. 2 + 6 x 4 b 6x4+3 e. 6 x 3 + 4 c 6+4x3 14 3.54 is multiplied by 10 to the fifth power, what should be the value? a 3.054 c. 305.40 e. 354,000 b 30.54 d. 35,400 15 If the short hand of the clock is at 4, what is the degree of its angle? a 90 c. 130 e. 110 b 120 d. 150 16 There are two numbers whose sum is 48. One of the numbers is greater by 6. What are the numbers? a 23, 24 c. 22, 26 e. 20, 28 b 21, 27 d. 23, 26 17 Add: 17 5/8 + 21 ¾ = _____. a 38 3/8 c. 39 4/8 e. 36 4/8 b 39 3/8 d. 38 4/8 18 2 ¾ of P100 is equal to _____? a 6/4 x 100 d. 6/4 + 100 b 11/4 x 100 e. none of these c 11/4 + 100 19 Which of the following fraction is > than 1/3? a 22/63 c. 4/11 e. 102/103 b 15/46 d. 33/98

20 In 1 ½ hours, the minute hand of a clock rotates through an angle of how many degrees? a 60 c. 180 e. 540 b 90 d. 360 21 When the fractions 2/3, 5/7, 8/11 and 9/13 are arranged in an ascending order, the result would be? a 8/11, 5/7, 9/13, 2/3 b 5/7, 8/11, 2/3, 9/13 c 2/3, 8/11, 5/7, 9/13 d 2/3, 9/13, 5/7, 8/11 22 ADD: 48.63 + 96.28 + 436.45 + 0.2385 = ____? a 581.60 d. 581.5986 b 581.5985 e. 581.59 c 581.5990 23 15 is 20% of what number? a 75 c. 80 e. 72 b 78 d. 70 24 7 is 5 percent of what number? a 120 c. 145 e. 150 b 125 d. 140 25 The ratio of two numbers is 5 : 3 and their difference is 20. What are the numbers? a 50, 30 c. 40, 60 e. 50, 70 b 55, 35 d. 45, 65 26 The ratio of two numbers is 16 : 33. The larger number is 264. What is the smaller number? a 131 c. 129 e. 127 b 130 d. 128 27 3/4 of 100 is equal to 5 times what number? a 10 c. 25 e. none of these b 75 d. 5 28 What is the smallest positive number which, when it is divided by 3, 4, or 5, will leave a remainder of 2? a 42 c. 62 e. 182 b 22 d. 122 29 Which of the following number has the largest numerical value? a (3 + 3 + 3) to the 3rd power b (3 x 3) to the 3rd power c (4 x 3 x 3) to the 2nd power d 3 cube + 3 square e (3 x 3) square 30 Eight percent of 36 is 72% of what number? a 2.06 c. 3.24 e. 40 b 2.88 d. 4 31 Which of the following has the greatest value? a 6/10 c. 17/24 e. 7/9 b 8/12 d. 9/14 32 What number is 35 more than 70? a 105 c. 170 b 135 d. 185 Geometry Direction: For each item, select the letter that corresponds to your answer. 33 The area of a square piece of land in square meters is numerically equal to nine times its perimeter in meters. What is the length of a side of this square piece of land? a 9 meters d. 81 meters b 6 meters e. None of the above c 36 meters 34 What is the measure of the interior angles of a regular pentagon?

35

36

37

38

a 60 degrees d. 105 degrees b 90 degrees e. None of the above c 98 degrees A rectangular field has an area of 2, 800 square meters. If its width is 40 meters, what is its length? a 112 meters d. 20 meters b 120 meters e. None of the above c 70 meters A regular octagon has a perimeter of 576 centimeters. What is the length of one side? a 66 cm. d. 48 cm. b 72 cm. e. None of the above c 24 cm. How many meters of fencing are needed to enclose an 84 meter by 48 meter rectangular garden? a 132 m c. 262 m b 244 m d. 4 032 m2 How many 1 cm square stickers are needed to cover a photo box 4 cm long, 3 cm wide and 5 cm high? a 47 b. 60 c. 88 d. 94

Number Series Direction: For each item, select the letter that corresponds to your answer. 39 5 12 26 54 110 _____ a 220 c. 222 e. 212 b 200 d. 210 40 324 216 144 96 _____ a 72 c. 64 e. 32 b 48 d. 56 41 3.2 4.4 5.6 6.8 8.0 _____ a 8.10 c. 9.2 e. 9.12 b 8.12 d. 9.10 42 2 5 10 17 26 37 _____ a 54 c. 50 e. 52 b 53 d. 51 43 5 6 10 12 15 24 20 _____ a 20 c. 36 e. 42 b 48 d. 40 44 1.2 2.4 3.6 4.8 6.0 _____ a 6.8 c. 7.12 e. 8.12 b 8.4 d. 7.2 45 1 3 4 5 6 8 9 9 16 13 12 32 _____ a 15 c. 24 e. 17 b 64 d. 36 46 27/100 9/20 3/4 5/4 25/12 _____ a 50/33 c. 10/24 e. 31/6 b 125/36 d. 33/16 47 2 6 12 36 72 216 _____ a 512 c. 648 e. 432 b 324 d. 296 48 -1 0 0 1 2 3 6 7 14 _____ a 27 c. 18 e. 15 b 29 d. 16 Number Analogy Direction: For each item, select the letter that corresponds to your answer. 49 16 is to 24 as 10 is to _____. a 12 c. 15 e. 25 b 14 d. 20 50 5 is to 25 as _____ is to 480. a 120 c. 96 e. 160 b 64 d. 240 51 2 is to 1/3 as 54 is to _____.

52 53 54 55

a 9 c. 18 b 27 d. 6 125 is to 5 as 64 is to _____. a 8 c. 16 b 32 d. 4096 99 is to 297 as 1 is to _____. a 3 c. 7 b 5 d. 9 -8 is to 64 as -9 is to _____. a 9 c. -3 b 3 d. -81 36 is to 72 as 97 is to _____. a 154 c. 174 b 164 d. 184

Largest Value Direction: Select value. 56 a 11/15 b 21/30 57 a 88.983 89.78 b 89.87 58 a 16,671 b 16,721 59 a 11/16 b 6/11 60 a 2/9 b 2/7

e. 12 e. 4 e. 11 e. 81 e. 194

the letter that has the largest c. 7/12 d. 4/6 c. 82.39

e. 2/5 e.

d. 89.299 c. 16,647 d. 16,770

e. 16,977

c. 7/12 d. 8/13

e. 16/21

c. 2/11 d. 2/8

e. 2/13

Word Problem Directions: Select the best answer for each given situation. 61 The cost of a square meter commercial lot in a certain municipality five years ago was P12,500. There was a 420% increase in the price in the last five years. What is the price per square meter of that today? a P17,500 c. P19,000 b P52,500 d. P65,000 62 Dante recently sold some stocks for which he originally bought for P358. If it has increase in value by 116%, how much did he receive for the stock? a P678.28 c. P773.28 b P772 d. P778 63 Mr. Many Viagras, a real estate broker sold a building for P175M. How much did he receive if his commission is 5.5% of the sale price of the property? a P9.5M c. P9.625M b P9.7M d. P180.5M 64 If 560 out of 700 examinees passed in the recent Civil Service Exam for Professional level, what percent of the examinees passed? a. 65% b. 72% c. 80% d. 140% 65 Mr. Cresse borrows P500,000 from Asian Bank and is charged P60,000 interest. What percentage of interest did Asian Bank charge for the loan? a. 8% b. 9% c. 10% d. 12%

66 A store sells shirts for P1,078 each or 3 for P2,997. How much would one save by buying 3 shirts at a time instead of 3 shirts, one at a time? a. P237 b. P921 c. P1,237 d. P1,921 67 A computer can be rented for P 1 745 a week or P 347.50 a day. You need the computer only for 6 days. At which rate (daily or weekly), would it be cheaper to rent and by how much cheaper? a weekly: P340 c. daily: P340 b daily: P240 d. weekly: P240 68 A 1.25 kg box of Brand A detergent sells for P87.50. A 1.5 kg box of Brand B detergent sells for P103.20. What is the difference in the price per kg.? a. P1.20 b. P1.50 c. P1.80 d. P2.00 69 A 30 cm. long plastic pipe costs P249. At this rate, what is the price of the pipe per meter? a. P830 b. P840 c. P747 d. P749 70 A home owner can rent a chain saw from a rental agency at P2,700 a day. The brand new of the same saw can be bought for P18,900. For how many days could the homeowner rent the saw before renting would cost more than buying? a. 5 b. 6 c. 7 d. 8 71 Art uses ten 100 watt bulbs in his house. He uses these bulbs at an average of 5 hours each day. How many KHW do these bulbs use each day? a. 5 b. 10 c. 50 d. 5,000 72 An electric range uses 12,200 watts per hour and is run an average of 60 hours a year. How many kilowatt-hour is this? a. 73.2 b. 732 c. 7,320 d. 7.32 73 A video cassette movie, purchased for P440 was marked up 25% on the selling price. Later, as retail; prices fell, this movie was marked down 20% on the current sale price. Find it new sale price. a. P352 b. P440 c. P500 d. P550 74 Althea bought these office supplies last week: 1 320 pens @ P0.125; 1,480 packs paper clips @ P0.625; 1,240 boxes of tape @ P0.875; 1,720 boxes of cards @ P0.80. A 5% sales tax is added. What was Althea’s total bill? a. P173.25 c. P971.25 b. P3,551.00 d. P3,728.55 75 The total price of a filing cabinet and a table is P13,100. If the price of filing cabinet is P2,500 more than that of the table, how much is the table? a. P6,300 c. P7,800 e. P5,800 b. P5,300 d. P10,600 76 Of the registered voter in Barrio San Juan, 72% are aged 40 and above. If there are 2,400 registered voters, how many of them are 40 and above? a. 1,308 c. 1,598 e. 1,728 b. 1,438 d. 1,628 77 The lengths of the sides of a subdivision lot shaped like an isosceles trapezoid lot are 15

78

79

80

81

82

83 84

85

86

87

88

89

90

4.5

m, 28 m, 15 m, 22 m. What is its area in sq. m.? a. 330 c. 335 e. 616 b. 420 d. 375 How many liters of water must be added to 20 liters of a 20% salt solution to make it a 12.5% salt solution? a. 12 c. 20 e. 32 b. 8 d. 40 A 16-foot by 8-foot rectangular map is reduced so that its width is 4 decimeters. What is the area of the new map in square decimeters? a. 32 c. 16 e. 4 b. 34 d. 8 Eighteen bus loads of 56 students each went to join the INDEPENDENCE DAY Celebration. One hundred seventy – four did not go. How many students are there in all? a 160 b. 1,282 c. 180 d. 1,182 Bebe bowled 3 games and got scores of 139, 153 and 128. What was the average score for the three games? a 130 b. 140 c. 150 d. 160 Car Zerux averages 8 km per liter of fuel. Car Essentia averages 12 km per liter of fuel. If the price of fuel is P10.00 per liter. How much less would a 600-km. trip cost for car Essentia than car Zerux? a P250 b. P500 c. P600 d. P750 What is the average speed in kph of a car travelling 160 kilometers in 5 hours? a 32 b. 40 c. 80 d. 90 If 4 workers can complete 8 identical jobs in 4 days, how long will it take 6 workers to complete 12 such jobs? a 3 days b. 4 daysc. 5 days d. 6 days A roll of ribbon 51 yards long is to be divided into 408 equal parts. How many inches is the length of each part? a 3.5 b. 4.5 c. 5.5 d. 6.5 A water tank is 7/8 full. When 21 liters of water are drawn out, the tank is 5/8 full. What is the total capacity of the tank in liters? a 63 b. 84 c. 87 d. 93 A painter completes 2/9 of a job in 3 days. At these rates, how many more days will it take him to finish the job? a 7.5 days c. 10.5 days b 9.5 days d. 13.5 days A boy spent P320, which was 5/7 of what he had originally. How much did he have originally? a P438 b. P448 c. P476 d. P576 How much money can be saved by buying 72 pens at P 90 per dozen than buying them for P 7.75 each? a P0.25 b. P3.00 c. P12.00 d. P18.00 The morning classes in a school begin at 8:05 A.M. and end at 12:00 noon. There are five class periods of 45 minutes each with equal intervals between classes. How many minutes are there in each interval? a. 2 b. 2.5 c. 3 d.

91 Every seat in a bus was taken and 7 people were standing. At the next stop 15 people got off and 3 got on. How many seats were empty after this stop if everyone was seated? a. 3 b. 5 c. 7 d. 10 92 A boy scored 134, 145, and 150 in his first 3 games. What score must he make on his next game so that his average for the four games will be 149? a. 163 b. 165 c. 167 d. 170 93 Mika can type 9 pages in 12 minutes. How many pages can he type in 8 hours at the same rate? a. 180 b. 360 c. 390 d. 540 94 Perla starts cleaning the yard at 10 a.m. and by 11:20 a.m., she has finished 4/5 of it. If she continues working at the same rate, at what time will she finish cleaning the yard? a 11:10 am c. 11:40 am b 11:20 am d. 11:52 am 95 A shuttle bus travels 240 kilometers at 60 kph and then returns at 40 kph. What is the average speed in kilometer per hour for the round trip? a. 48 b. 49 c. 50 d. 52

MATH IV Algebraic Expression, Percent, Decimal & Fraction Direction: For each item, select the letter that corresponds to your answer. 1 What is 0.05 percent of 6.5? a 0.000325 c. 0.325 b 0.0325 d. 3.25 2 Write 7.5 % as a fraction. a 3/4 c. 3/400 b 3/40 d. 3/4000 3 Write 3/8% as decimal. a 0.00375 c. 0.375 b 0.0375 d. 3.75 4 Find 40% of 60. a. 0.24 b. 2.4 c. 24 d. 240 5 What percent of 60 is 42? a. 0.7% b. 7% c. 70% d. 1.428% 6 54 is 20% of what number? a. 2.7 b. 270 c. 10.8 d. 108 7 When +13 is added to -15, the sum is ________. a. -2 b. 2 c. -18 d. 18 8 When -15 is subtracted from -18, the difference is _____. a. -3 b. 3 c. 33 d. -33 9 When the product of (-4) and (-17) is divided by 2, the quotient is _____. a. -34 b. 34 c. 66 d. -66 10 If -5x = 17 - 32, the x = _____. a. 9.8 b. -9.8 c. 3 d. -3 11 If x + y = 4a and x – y = 2b then y = _____. a b – 2a c. 2a + b b 2a – b d. a – 2b 12 If 0.37m = 0.0111 then m = _____. a. 0.03 b. 0.3 c. 3 d. 30 13 What is the value of x in 5 : x = x : 125?

14 15

16 17 18 19

a. 5 b. 15 c. 20 d. 25 If x – 3 = y, then (y – x)3 = _______. a. 9 b. -27 c. 27 d. 81 What values of x can satisfy the equation (3x+6) (2x-8) = 0? a -4 and 2 only c. -2 only b 4 only d. -2 and 4 only The number is 15 less 7; when added to ten, what will be the number? a. 28 b. 18 c. 17 d. 15 What is -2 + (-3.1) + (-0.02) = ________? a. -0.512 c. 0.512 e. -5.012 b. 2.012 d. -5.12 Write 3/4% as a decimal. a. 0.75 c. 0.0075 b. 0.075 d. 0.00075 What is 12 ½% of 80? a. 32 c. 16 e. 8 b. 4 d. 10

20 What is 60% of 60? a. 1 c. 12 e. 100 b. 10 d. 36 21 400 is 500% of what number? a. 2,000 c. 80 e. 200 b. 20 d. 8 22 What is 0.28 in percent? a. 0.028% c. 2.8% e. 280% b. 0.28% d. 28% 23 What is 2.3 in percent? a. 0.023% c. 2.3% e. 230% b. 0.23% d. 23% 24 What is 0.008 in percent? a. 0.8% c. 80% e. 1/8000% b. 8% d. 1/8% 25 What is 6 ½ % in decimal? a. 0.06 c. 0.612 e. 0.655 b. 0.065 d. 0.65 26 What is 25 % as a fraction? a. 1/25 c. 1/4 e. 1/20 b. 1/5 d. 4/10 27 What is 75% of 8,408? a. 1,202 c. 6,306 e.11,210 2/10 b. 2,102 d. 6,204 1/3 28 60 is 25% of what number? a. 15 c. 12 e. 240 b. 150 d. 120 29 What is 2/3 in percent? a. 2.33% c. 33 1/3% e. 2/3% b. 2.2/3% d. 66 2/3% 30 18 is 10% of what number? a. 0.18 c. 1,800 e. 180 b. 1.8 d. 18 31 What is 50% of 16% of 25? a. 2 c. 4 e. 20 b. 8 d. 40 32 42 is 35% of what number? a. 96 c. 12 e. 132 b. 88 d. 86 Geometry Direction: For each item, select the letter that corresponds to your answer.

33 The area of a square is 36 sq. cm. What is the perimeter of the square? a. 6 cm. b. 24 cm. c. 30 cm. d. 36 cm. 34 A rectangular block of copper, with dimensions 4m x 6m x 9m, is melted and recast into a cubical block. Find the length of the slide of the cubical block. a. 4 m b. 6 m c. 9 m d. 12 m 35 If 2/3 the perimeter of a square is 16, then what is the length of one of its sides? a. 6 b. 8 c. 9 d. 12 36 One side of triangle is 3 cm longer than the shortest side, and the other side is 4 cm longer than the shortest side. How long is the shortest side if the perimeter is 67 cm? a. 20 cm b. 23 cm c. 24 cm d. 27 cm 37 The length of a rectangle is 2 cm less than twice its width. What is its width in cm, if its perimeter is 50 cm? a. 8 b. 9 c. 16 d. 25 38 A regular octagon has a perimeter of 576 centimeters. What is the length of one side? d 24 cm. d. 72 cm. e 48 cm. e. None of the above f 66 cm. Number Series Direction: For each item, select the letter that corresponds to your answer. 39 48 24 12 6 _____ a. 5 c. 3 e. 2 b. 1 d. 4 40 0 5 2 10 4 15 6 20 8 _____ a. 9 c. 10 e. 12 b. 25 d. 50 41 2.7 8.1 24.3 72.9 _____ a. 178.2 c. 145.8 e. 98.7 b. 291.6 d. 218.7 42 1/12 1/6 1/4 1/3 5/12 _____ a. 1/2 c. 3/4 e. 1/5 b. 7/12 d. 2/6 43 7 16 34 70 142 286 574 _____ a. 770 c. 930 e. 1,150 b. 820 d. 1,040 44 1 4 9 16 25 36 49 _____ a. 64 c. 81 e. 98 b. 47 d. 72 45 3 6 10 15 21 28 36 _____ a. 42 c. 72 e. 45 b. 39 d. 48 46 4 5 8 7 12 9 16 11 _____ a. 20 c. 13 e. 24 b. 15 d. 22 47 1/4 1/2 1 2 4 _____ a. 16 c. 3 e. 5 b. 6 d. 8 48 4 8 7 14 13 26 25 _____ a. 49 c. 48 e. 42 b. 50 d. 52 Number Analogy Direction: For each item, select the letter that corresponds to your answer. 49 5 is to 125 as 2 is to _____. a. 4 c. 12 e. 20 b. 8 d. 16 50 104 is to 26 as _____ is to 416.

51 52 53 54 55

a. 1,248 c. 104 e. 832 b. 1,664 d. 208 10,212 is to 40,848 as 88 is to _____. a. 176 c. 264 e. 352 b. 44 d. 22 3 is to 1/9 as 2 is to _____. a. 1/2 c. 8 e. 4 b. 1 d. 1/4 10,212 is to 40,848 as 88 is to _____. a. 22 c. 352 e. 264 b. 44 d. 176 100 is to 10 as _____ is to 5. a. 100 c. 25 e. 1 b. 5 d. 125 1/2 is to 3/4 as _____ is to 333. a. 33 c. 222 e. 999 b. 3 d. 111

Largest Value Direction: Select value. 56 a. 81% b. 0.8 57 a. 38% b. 3.8 58 a. 628 + 881 b. 622 + 888 c. 627 + 885 59 a. 2/7 b. 1/10 60 a. 9 x 15 b. 10 x 14

the letter that has the largest c. 1/8 d. 8/10 c. 3.089 d. 38/11

e. 0.800 e. 10/3

d. 629 + 881 e. 626 + 885 c. 1/3 d. 8/27

e. 26/81

c. 11 x 13 e. 13 x 11 d. 12 x 12

Word Problem Directions: Select the best answer for each given situation. 61 Mr. Art drives his car at the rate of 60 miles per hour. What is his rate in feet per second? a. 66 b. 76 c. 86 d. 88 62 At Rosa Alvero Street, in Loyola Heights there are 8 town houses and 52 private individual homes. What is the ratio of town houses to private individual homes? a. 2 : 27 b. 2 : 13 c. 1 : 13 d. 4 : 13 63 If it takes 16 pipes 10 hours to fill 8 tanks, how long will it take 12 pipes to fill 9 tanks? a 10 hours c. 13 hours b 12 hours d. 15 hours 64 Mr. de Juan borrows P 360, 000. If he pays back P 378, 000 after one year, what is his interest rate? a. 1.5% b. 4.5% c. 5% d. 7.5% 65 If 6 men need P3,600 worth of food for a three – day camping trip, how much will 2 men need for a 15-day trip? a P3,600 c. P5,400 b P4,800 d. P6,000 66 A student buys a book for P175 after receiving a discount of 12.5%. What was the marked price? a P187.50 c. P225.00 b P200.00 d. P250.00

67 A condo unit was sold for P2.50 M, yielding a 25% profit. For how much would it be sold to yield only a 10 % profit on the cost? a P2 M c. P2.5 M b P2.25 M d. P2.45 M 68 What single discount is equivalent to successive discounts if 5% and 10%? a. 10.5% b. 12.5% c. 14.5% d. 15% 69 How many miles are there in 40 kilometers? a. 25 b. 64 c. 32 d. 60 70 In a group of 8,000 applicants for a civil service examination, 1,600 failed to take the first part of the test. What percent of the total applicants took the first part of the test a. 20% b. 30% c. 40% d. 80% 71 If a man travels for half an hour at 60 km/hr, and for a quarter of an hour for 120 km/hr, what is his average speed? a 80 kph c. 100 kph b 90 kph d. 120 kph 72 If the ration of boys to girls is 3 : 7, if the class has 40 students, how many additional boys are needed to enroll to make the ration 2 : 1? a. 11 b. 22 c. 44 d. 50 73 If 45 feet of uniform wire weigh 5 kilograms, what is the weight of 30 yards of the same wire? a. 5kg b. 10kg c. 15kg d. 20kg 74 A school has enough oatmeal to feed 15 children in 4 days. If 5 more children are added, how many days will the oatmeal last? a. 3 b. 12 c. 1 1/3 d. 5 1/3 75 If a car travel 60 km on 12 liters of gasoline, how many liters will be needed on a 210 – km trip? a. 30 b. 42 c. 45 d. 50 76 A shirt marked P560.00 is sold for P392.00. What was the rate of discounts? a P168.00 c. 30% b P123.00 d. 70% 77 A basketball team has won 24 games out of 36 games played. It has 24 more games to play. How many of these must team win to make its record 80 % for the season? a. 12 b. 18 c. 18 d. 24 78 An 8 – meter rope is cut so that one part is 3/5 of the other. How long, in meters, is the shorter segment? a. 2 b. 3 c. 4 d. 5 79 When the gasoline gauge of an automobile shows 1/8 full, 52.5 liter is needed to completely fill the gasoline tank. What is the capacity, in liters of the gasoline tank? a. 48 b. 50 c. 56 d. 60 80 If 7 is added to four times a number, the result is 91. What is the number? a. 21 b. 42 c. 32 d. 56 81 A truck can carry a load of 8/9 tons. How many trips must the truck make to deliver 10 2/3 tons of sand? a. 8 b. 9 c. 10 d. 12 82 A sales representative earns 5 % commission on all sales between P20,000 and P60,000, and 8 % on all sales over P60,000. What was

the commission in a week in which her total sales was P80,000? a P3,600 c. P5,600 b P4,600 d. P6,400 83 A car that cost P1.2 M can be sold for P600,000 after 5 years of use. What will be the yearly depreciation cost? a P100,000 c. P120,000 b P12,000 d. P600,000 84 A hand- carved wooden dining set is priced at P69,950. If 20% discount is given to the customer, how much would he have to pay for the set? a P53,960 c. P55,960 b P54,960 d. P56,960 85 If an article priced at P99.80 is subjected to a 10% VAT, what would be the total amount to be paid for the article? a P89.82 c. P109.80 b P109.78 d. P110. 78 86 Find the cost of 6 ½ dozen eggs at P30.00 per dozen. a P186 b. P190 c. P194 d. P195 87 A lady employee purchased an umbrella for P 180 less 20%. How much should she pay if it is subject to a 5% sales tax? a P151.20 b. P153 c. P160 d. P165 88 Mr. Veronico Salvacion III is buying a piece of lot at Villa Homes West. The dimension of the rectangular lot is 4 meters by 30 meters at P3,500/sq. meters, what would be the total cost of the lot? a P308,000 c. P735,000 b P105,014 d. P1, 470,000 89 How much must a salesman sell in a month to yield him a commission of P12,000, if his rate of commission is 5% on goods sold? a P12,000 c. P240,000 b P60,000 d. P24,000 90 How much would Chessa receive from his monthly salary of P 8,000 after deducting 2 ½ % for SSS contribution and 5% for withholding tax? a P7,400 c. P7,850 b P7,500 d. P7,950 91 A student had P1,050 in his wallet. He spent P630 for books and school supplies. What part of his money did he spend? a. 2/5 b. 3/5 c. 2/3 d. 3/4 92 Ms. Mia Miranda saves 18% of her monthly salary of P16,500. How much does she save in a year? a P34,460 c. P35,640 b P35,460 d. P36,640 93 Mrs. Lydia Yu wishes to buy a second hand car, the cash price of which is P150,000. Not having ready cash she agrees to pay 1/3 down and the balance in 10 monthly installments of P11,000 each. What is the total price of the car? a P160,000 c. P110,000 b P170,000 d. P260,000 94 A cross stitch owner buys cross-stitch frame at P12,500 each. How much should he sell each in order to realize a profit of 3/20 more than the buying price? a P12,750 c. P13,350

b P13,375 d. P14,375 95 This year ABC Company’s profit was P2,440,000. Which is 22% more than last year’s profit? How much was the profit last year? a P1,220,000 c. P1,880,000 b P2,000,000 d. P1,900,000

ANSWER KEY (Mathematics I) Algebraic Expression, Percent, Decimal and Fraction 1. C 2. B 3. A 4. D 5. B 6. D 7. B 8. A 9. D 10. D 11. C

12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22.

C A A E B B C B C C D

23. 24. 25. 26. 27. 28. 29. 30. 31. 32.

Geometr y

B A A A D D A B C D

33. 34. 35. 36. 37. 38.

C A E B A D

Number Series 39. 40. 41. 42. 43. 44. 45. 46. 47. 48.

E C C D E C E B B C

Number Analogy 49. 50. 51. 52. 53. 54. 55.

D C E C A E B

56. 57. 58. 59. 60.

B C E B D B C

68. 69. 70. 71. 72. 73. 74.

E D A A A C B

75. 76. 77. 78. 79. 80. 81.

D A B B A B D

B C E E B

Abstract Reasoning

Word Problem 61. 62. 63. 64. 65. 66. 67.

Largest Value

82. 83. 84. 85. 86. 87. 88.

B A B B D A C

89. 90. 91. 92. 93. 94. 95.

B B C C B D A

96. B 97. C 98. B 99. D 100. C

ANSWER KEY (Mathematics II) Algebraic Expression, Percent, Decimal and Fraction 1. C 2. B 3. C 4. B 5. E 6. B 7. E 8. B 9. D 10. C 11. A

12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22.

A D D D D D A B C C B

23. 24. 25. 26. 27. 28. 29. 30. 31. 32.

Geometr y

A C D B D B A D A B

33. 34. 35. 36. 37. 38.

A C D B C B

Number Series 39. 40. 41. 42. 43. 44. 45. 46. 47. 48.

C B E B E D E C A A

Number Analogy 49. 50. 51. 52. 53. 54. 55.

A A B D A C

68. 69. 70. 71. 72. 73.

D C B D D B

75. 76. 77. 78. 79. 80.

E A B C D A

56. 57. 58. 59. 60.

A A C D C

Abstract Reasoning

Word Problem 61. 62. 63. 64. 65. 66.

B C C C A B D

Largest Value

82. 83. 84. 85. 86. 87.

C E A D E D

89. 90. 91. 92. 93. 94.

E A C C B B

96. B 97. D 98. D 99. B 100. A

67. B

74. A

81. D

88. E

95. A

ANSWER KEY (Mathematics III) Algebraic Expression, Percent, Decimal and Fraction 1. A 2. B 3. D 4. B 5. B 6. D 7. C 8. D 9. B 10. B 11. C

12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22.

C A E B B B B B E D B

23. 24. 25. 26. 27. 28. 29. 30. 31. 32.

Geometr y

A D A D E C C D E A

33. 34. 35. 36. 37. 38.

C E C B C D

Number Series 39. 40. 41. 42. 43. 44. 45. 46. 47. 48.

C C C C B D E B E E

Number Analogy 49. 50. 51. 52. 53. 54. 55.

C C A E A E E

56. 57. 58. 59. 60.

D C C C D A A

68. 69. 70. 71. 72. 73. 74.

A A C A B B D

75. 76. 77. 78. 79. 80. 81.

B E D A A D B

A B E E B

Abstract Reasoning

Word Problem 61. 62. 63. 64. 65. 66. 67.

Largest Value

82. 83. 84. 85. 86. 87. 88.

A A B B B C B

89. 90. 91. 92. 93. 94. 95.

D B B C B C A

96. D 97. B 98. A 99. A 100. B

ANSWER KEY (Mathematics IV) Algebraic Expression, Percent, Decimal and Fraction 1. A 2. B 3. A 4. C 5. C 6. B 7. A 8. A 9. B 10. C 11. B

12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22.

A D B B B D C D D C D

23. 24. 25. 26. 27. 28. 29. 30. 31. 32.

Geometr y

E A B C C E A C D C

33. 34. 35. 36. 37. 38.

B A A A B D

Number Series 39. 40. 41. 42. 43. 44. 45. 46. 47. 48.

C B D A E A E A D B

Number Analogy 49. 50. 51. 52. 53. 54. 55.

D B D C D B C

68. 69. 70. 71. 72. 73. 74.

C A D A C B A

75. 76. 77. 78. 79. 80. 81.

B C D B D A D

56. 57. 58. 59. 60.

A B C C D

Abstract Reasoning

Word Problem 61. 62. 63. 64. 65. 66. 67.

B B E D A C C

Largest Value

82. 83. 84. 85. 86. 87. 88.

B C C B D A D

89. 90. 91. 92. 93. 94. 95.

C A B C A D B

96. B 97. C 98. D 99. D 100. B