REVIEWER - LEARNING STRAND 3 – Mathematical and Problem Solving Skills - SECONDARY

LEARNING STRAND 3 – Mathematical and Problem Solving Skills

1. Joel received a birthday invitation from Clara that he should be at her house at exactly 19:30. What time should Joel be at Clara’s house?

A. 7:30 in the morning       B.7:30 in the evening        

C. 4:30 in the afternoon     D. 9:30 in the evening.

2. Before going to sleep, the clock on Marina’s alarm clock read as 9:25:45. When she opened her eyes the next morning, it read as 6:08:13. How long did Marina sleep?

A. 2:17:32     B. 15:33:58   C. 8:44:28     D. 9:43:28

3. The ABC Cooperative is making 150 suman sa lihiya every day. Because of increased demand, it plans to increase its production by 15 each day from 150 in the first day to 165 in the second day, to 180 in the third day and soon until he is producing 600 suman in day N.

What is the value of N?

A. 29            B. 30            C. 31            D. 32

4. There were 365 enrollees at Mababang Paaralan ng Mauban last year and 257 this year. Of these data, 92 are Grade 4 students. Which of the following can tell us the number N of students who are NOT Grade 4 students?
A. (365 - 257) - 92 = N
B. (365 + 257) + 92 = N
C. (365 - 257) + 92 = N
D. (365 + 257) - 92 = N

5. Clara weighs 3 2/3kg less than Claro. If Claro weights 54 3/4 kg, about how many kilograms does Clara weigh?

A. 51 1/3 B. 51 1/12 C. 50 3/4 D. 58 5/12

6. Aling Lucy needs 120 seedlings in a row. If there are 20 rows and each seedling cost Php 35.00, how much will she spend in all of the seedlings?

A. Php  4,200     B. Php 4,900    C. Php 84,000   D. Php 3,100

7. Ernie earned Php 125.00 for selling balot on Thursday and Php 138.00 for selling sitsaron on Friday. On Saturday, he spent Php 107.00 for his projects. To find out the amount left for his earnings E, which of the following equation is correct?

A. E = 107 + (125 - 138)

B. E = (125  - 138) - 107

C. E = (125 + 138) - 107

D. E =  107 -  (125 + 138)

8. There are 140 items in English and Filipino test. If 3/7 of the questions involve Filipino, how many items are English questions?

A. 60  B. 20      C. 100    D. 80

9. Andoy bought 55 chicks at P16.00 each. He will spend Php 350.00 each week for the feeds. The chicken can be sold in 6 ½ weeks. How much will be his total expenses before the chicken can be sold?

A. Php 880      B. Php 2,275      C. Php 1,395   D. 3,155

10. Marissa is challenged by Anita in finding the circumference of the given circle below. What formula will she used to find its value?

A. C = 2 x 6 cm.                      B.  C = 2 x 12 cm.       C.  C = 3.14 x 12 cm.  D. C = 3.14 x 6 cm

11.  What is the area of the triangular figure below?

A. 24 in.^2    B. 120 in.^2       C. 60 in.^2        D. 44 in.^2

12. Cora needs to gift-wrap a rectangular box which is 12 cm long, 6 cm wide, and 8 cm high. What is the surface area of the box?

A. 432 cm^2 B. 576 cm^2 C. 360 cm^2 D. 120 cm^2

13. Manoling baked 336 loaves of bread and distributed it equally to 6 stores.  If one loaf of bread cost Php 21.25, how much did each store pay?

A. Php 1,428    B. Php 7,140      C. Php 1,186.45     D. Php 1,190

14. Mang Dado bought a second-hand rectangular table with length 260 dm and width of 155 dm. He plans to paint only the top of the table. What is the area to be painted?

A. 415 dm^2     B. 40,300 dm^2      C. 830 dm^2      D. 20,150 dm^2

15. From their school, Ruben traveled by jeep 5 km east while Jonathan rode a taxi and traveled 12 km north. How many kilometers are they apart?

A. 10.91 km     B.  17 km     C.  13 km    D. 169 km

16. Engineer Santos is constructing a swimming pool whose dimensions are 12 ft. by 4 ft. by 6 ft. When completed, how many cubic feet of water will it need?

A. 288    B. 22      C.  72      D. 144

17. Beth opened a savings account and made an initial deposit of Php 5,000.00. Every week, she deposited Php 3,000.00. On the 19^th week, she withdrew Php 12,500.00 to buy a sewing machine. How much is her current balance?

A. Php 71,500        B. Php 41,500      C. Php 46,500      D.   Php 54,000

18. Arman is planning to buy Iphone X. He already saved Php 15,400.00. If the cellphone cost Php 44,000.00, what percent of the total price was his saving?

A. 65%       B. 285%        C. 53%       D. 35%

19. Anna liked the handbag that she saw in the mall and started saving. On Monday she saved Php 35.00 and tripled that amount on Tuesday and Wednesday. On Thursday she bought school materials worth Php 45.00. She saved Php 55.00 on Friday. Unfortunately, she lost her wallet on Saturday with Php 95.00 on it. How much is her total savings?

A. Php 475      B. Php 160      C. Php 20    D. Php 90

20. On her birthday, Clarisse bought 40 chocolates to school. Six of her classmates took 2 pieces each and some took 3 pieces. Before the class ended, three of her classmates returned one chocolate each. At home, Clarisse had 19 chocolates left. How many of her classmates took 3 pieces each?

A. 4    B. 5    C. 3    D. 2

21. Aling Imelda bought 2 kilos of bangus, 1 ½ kilos of beef,  1 ¼ chicken, and assorted vegetables weighing 3 2/3 kilos. If her bayong can only carry a total of 10 kilos, how many kilos of fruits can she buy?

A. 2 5/6                  B. 1 7/12       C. 2 5/12                D. 1 5/6

22. From school, Kiko walked 4 blocks north to go the mall. From there, he walked southwest to the gym which is 5 blocks from the mall. If the gym is on the same street west of the school, how far apart is the school from the gym?

A. 9 blocks              B. 6.40 blocks         C. 3 blocks    D. 1 block

23. Andy went to JolliMc and ordered 2 pieces of chicken, camote fries, and pineapple juice for lunch. A piece of chicken costs Php 22.00, camote fries costs Php 15.00, and pineapple juice costs Php 18.00 respectively. How much did Andy pay?

A. Php 55 B. Php 76 C. Php 56 D. Php 77

24. The following list of menu and prices is posted on the board in the school canteen:

Rice = Php 10/cup

Pinakbet = Php 20

Adobo = Php 30

Beef steak = Php 45

Shrimp Sinigang = Php 40

Softdrinks = Php 15

Bottled water = Php 10

Today is Reniel's birthday. He and his classmate Bong went to the canteen and ordered 4 cups of rice, 1 serving each of Beef steak and shrimp sinigang, 1 softdrinks and 2 bottled water. If Reniel paid all the orders and gave Php 200.00 to the cashier, how much change did he receive?

A. Php 40 B. Php 25 C. Php 60 D. Php 50

25. The health center in Barangay Loob listed down 238 patients in January 2018.  Based on the data in the municipal hall, this comprises 28% of the total patients in the entire municipality. How many patients are there in January 2018?

A. 6,664    B. 666    C. 850     D. 8,500

For items 26 – 27, refer the figure below. The budget chart is prepared by Mr. Castro for his net monthly earnings of Php 80,000.00

26. How much is allotted for food and transportation?

A. Php 32,000    B. Php 3,200     C. Php 16,000    D. Php 24,000

27. How much is allotted to tuition fee & school allowance?

A. Php 40,000  B. Php 20,000   C. Php 60,000    D. Php 28,000

 Ruel bought the following items from ABC Bookstore:

Spring notebook = Php 25.35

Yellow pad = Php 18.75

Plastic folder = Php 11.35

Art paper = Php 14.80

Ballpen = Php 15.25

28. If the sales clerk gave him Php 14.50 as change, how much did he give her?

A. Php 110     B. Php 130   C. Php 100     D. Php 150

29. Kiko weighs 3 1/3 more than Kikay. If he weighs 55 3/4 kg., what is Kikay’s weight?

A.  52 5/12 kg    B. 53 1/12 kg  C.  59 1/12 kg    D.  50 kg

30. Two-thirds of the ducklings Mang Teban bought are female. If there were 505 male ducklings, how many ducklings did he buy?

A. 1,010   B. 1,515   C. 758   D. 2.525

31. The larger of two integers is 5/2 the smaller.

If twice the smaller is subtracted from twice the larger, the difference is 12.

What are the two numbers?

A. 2 and 5    B. 4 and 10   C. 2 and 5     D. 3 and 6

32. Because of the new tax law, the property tax of a community is increased by 6% over the 2016 tax. An additional surcharge of Php 200 is also added for a special project.

If the Santoses 2017 tax totals Php 2108, find their property rax for the year 2016.

A. Php 2,074.28                B. Php 2,085.66      C. Php 1,800.00      D. Php 1,887.78

33. Mrs. Kurdapya invested Php10,000 for 1 year, part at 7% and part at 6.25%. If she earned a total interest of Php 656.50, how much was invested at each rate?

A. Php 4,200 @ 7% and Php 5,800 @ 6.25% 

B. Php 6,000 @ 7% and Php 4,000 @ 6.25%

C. Php 5,800 @ 7% and Php 4,200 @ 6.25%

D. Php 4,500 @ 7% and Php 5,500 @ 6.25%

34. Lucita’s piggybank contains a total of 12 coins. Some are 5-centavo coins and the rest are 10-centavo coins. The total value of the coins is Php115. How many 5-centavo coins and how many 10-centavo coins does she have?

A. 2 and 10             B. 3 and 9               C. 1 and 11             D. 5 and 7

35. Two cars leave from the same point at the same time, one traveling east and the other traveling west. If the car traveling west is moving 10 miles per hour faster than the car traveling east, and the two cars are 342 miles apart after 3 hours, find the speed of each car.

A. 52 mph & 62 mph   B. 32 mph &  42 mph  C. 42 mph and 32 mph  D. 62 mph & 52 mph

36. Aling Bebang has reduced the price of a toaster by 15%.

What is the original price of the toaster if the sale price is Php1,275?

 A. Php 1,500.00         B. Php 1466.25    C. Php 1,108.70      D. Php 1,083.75

37. Mang Canuto ate at Aling Naty’s carinderia. If the food costs Php 95.00 exclusive of 12% VAT, how much change will Aling Naty give to Mang Canuto if he gave her Php 200.00 bill?

A. Php 116.40         B. Php 93.60           C. Php 81.00           D. Php 115.18

38. One ganta of peanuts weighs 10 grams. A sack of peanuts contains 25,500 peanuts. How many sacks of peanut are there if one peanut weighs 0.05 gram and they made up of 1912.50 gantas?

A. 10            B.  13           C.15             D. 17

39. Mr. Dacuycoy invented a perfume consisted of 1/3 Chemical A, ½ Chemical B, and the rest is Chemical C. If he wants to produced 5 liters of the perfume, how many liters of Chemical C are needed?

A. 1/6 or 0.167        B. 5/6 or 0.833        C. 6              D. 25/6 or 4.167

40. How many Kilograms of Pure water is to be added to 100 Kilograms of a 30% saline solution to make it a 10% saline solution.

A. 250          B. 300          C. 275                    D. 200