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2008 Regional Individual Finals Metrobank-MTAP-DepEd Math Challenge Grade 6

I.Write the answer on the blank before the number. [2 points each] __________ 1. Express 13,860 as a product of prime factors using exponents. __________ 2. What is the greatest common factor of 420 and 630? __________ 3. What is the least common multiple of 420 and 630? __________ 4.What is the reciprocal of the sum of 2

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and 4

2 3

?

__________ 5. A radio is marked at P740. If a discount of 20% is given, the shopkeeper will lose P18. What is the cost price of the radio? __________ 6. A jar filled with water weighs 13 kg. When half of the water is poured out, the jar and its contents weigh 6 weight of the jar?

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kg. What is the

__________ 7. The total cost of 3 rulers at P9.50 each and a dozen similar notebooks is P322.50. How much does 8 of the notebooks cost? __________ 8. May guessed their classroom to be 9.5 m long. When measured, it was 10.3 m. What was her error percent to the nearest tenth of a percent? __________ 9. A salesman has a basic salary of P4,500 a month. He gets a commission of 6% of all sales above P50,000. How much did he get in a month when his sales amounted to P497,550? __________ 10. The cost of a watch including a tax of 25% is P937. If the watch was sold for P1087, how many percent is this above the cost price, to the nearest whole percent?

__________ 11. An 18 cm by 24 cm picture is framed on colored cardboard so that there is a 5 cm margin at the bottom along the 24 cm width and 4 cm on each of the other 3 sides. What area of the cardboard can be seen? __________ 12. Lita has m pencils. Jim has 6n pencils, and Wendy has 3n more pencils that Lita. How many pencils do they have altogether? __________ 13. A piece of wire was 16 m long. Mr. Lin used 2 m 56 cm of it. What percent of the piece of wire was left? __________ 14. If n = 9, what is the value of {15 – n}3 – 5n? __________ 15. On a map with a scale of 4 cm : 1 km, an estate has an area of 12 cm2 on the map. How many square meters is the area of the estate? 1 II.Solve each item on scratch paper; then write a neat and complete solution on the space after Part III and the paper provided. [3 points each] __________ 1. How many books, 25 cm long, 12 cm wide and 2.4 cm thick can be packed into a box 5 dm long, 3.7 dm wide and 2 dm high, internal dimensions? __________ 2. There are 108 red, blue and green marbles in a box. Four more than one-third of the marbles are red. There are 8 more green marbles than blue marbles. How many marbles of each kind are there? __________ 3. What is the ones digit of 7345?

__________ 4. A speculator lost 35% of his capital in one operation, and lost 40% of the remainder in a second operation. If he then had P15,600, how much had he at first? __________ 5. The marked price of a pair of shoes is P680. If a discount of 30% is given, the shopkeeper will lose P94. How much must he sell the shoes so that he has a gain of 20% on the cost price? III. Solve each on scratch paper; then write a neat and complete solution on the space provided. [5 points each] __________ 1. Lita and Rose start jogging on a 110 m circular track. They begin at the same point, but jog in opposite directions. Lita at meters per second and Rose at

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meters per second. Find the

number of times that they will pass each other during the first 15 minutes of jogging. __________ 2. Each of the numbers 622 and 831 have digits whose product is 24, i.e. 6 x 2 x 2 =24. How many 3-digit whole numbers have digits whose product is 24? Show all those you find. __________ 3. What is the sum of all the 4-digit numbers that can be obtained by using each of the digits 3, 5, 7 and 9 once?

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