NOGAL NOG ALE E S F ile iles s fo for r CONGRE CONGRESS SS E L E ME NTARY SCHOOL
2008 Metrobank-MTAP-DepEd Math Challenge Regional Individual Finals - 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
3 7
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
3 4
kg. What is the
weight of the jar? __________
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 Wh en 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. P93 7. 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} – 5n?
__________
15. On a map with a scale of 4 cm : 1 km, an estate has an area of o f 12 2 cm on the map. How many square meters is the area of the estate?
3
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NOGALES F iles for CONGRESS ELEME NTARY SCHOOL
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 7
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?
345
?
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
8 3
meters per second and Rose at
7 3
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?
Filename: Regional Individual Finals_2008G6.doc
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