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## Monday, September 30, 2013

### Mathematics

Directions: This is a test of your ability to think out solutions to quantitative problems in Mathematics. Analyze and solve each problem carefully.
1. Find the sum: 299 + 943 + 398 + 101.

2. If 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55, then 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = ?

3. If 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55, then 101 + 102 + 103 + 104 + 105 + 106 + 107 + 108 + 109 + 110 = ?

4. Evaluate: { 16 - (24 - 8) + 22 x 8 - 8 }

5. Find the product: 800 x 125.

6. What is the remainder when 192 888 is divided by 8?

7. If 8x + 12 = 24, what is the value of 24x + 36?

8. If a positive integer m is divisible by both 3 and 8, then m must also be divisible by the product of 3 and 8

9. The difference between 8 times a number and 17 is 231. Find the number.

10. What is 25% of 228?

11. If 8 less than the product of a number and -3 is greater than 7, which of the following could be that number?

12. Four times the perimeter of a parking lot is 16 less than 2000 meters. What is the perimeter of the lot?

13. The amount of last month's telephone bill, decreased by the product of 3 and P 30.00 equals P 1319.50. Find the amount of the bill.

14. Eighteen less than seven times the number of sandwiches is 269. How many sandwiches are there?

15. A house and lot are sold for P 14M. The house costs 1.5 times as much as the lot. How much does the lot costs?

16. The sale price of a television set is P 7200. The discount rate is 40%. Find its regular price.

17. The length of a rectangle is 8 meters more than twice its width. The perimeter is 112 meters. Find its area.

18. Paula is twice as old as Queenie. Seven years ago the sum of their ages was 16. How old is Queenie now?

19. For what value of x will x be the average of 2, 4x, 6, 8, 10?

20. How many integers between 197 and 303 are divisible by 4 and 10?

21. A water container has 100 ml of water in it and is 20% full. How many ml of water can this container holf if it is full?

22. How much must one has to invest in corporate bonds paying 9.6% in order to earn an income of P 12000 per annum?

23. How many liters will remain in a 1000-liter storage tank if 8.2% of the liquid has evaporated due to excessive heat?

24. If 560 out of 700 examinees passed in the recent Career Service exam for Sub-Professional level, what percent of the examinees passed?.

25. A 30-cm long plastic pipe costs P 249. At this rate, what is the price of the pipe per meter?

26. Paula uses ten 100-watt bulbs in her house. She uses these bulbs at an average of 5 hours each day. How many KWH do these bulbs use each day?

27. An electric range uses 12 200 watts per hour and is run an average of 60 hours a year. How many kilo-watt-hours is this?

28. The question "How many flowers are needed to border a rectangular garden?" involves

29. How many meters of fencing are needed to enclose an 84-meter by 48-meter rectangular garden?

30. The length of a rectangle is 2cm less than twice its width. What is its width in cm, if its perimeter is 50 cm?