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Nogales Files for CONGRESS ELEMENTARY SCHOOL 2004 Metrobank-MTAP-DepEd Math Challenge Sectoral Finals - Grade 6 A. 15-second questions – 2 points each 156 1. What is the largest whole number less than 190 that is divisible by 78? 9 10 2. I am thinking of a number. If 5 2 of the number is 9 4 , what is the number? 25% 3. Shoes that cost P 600 are sold for P 750. What is the gain percent? P 7.00 4. Bus fare is P 4.00 for the first 4 km and 50¢ for each additional km. How much is the fare for 10 km? 20 yrs. old 5. One-fourth of Jose’s age plus ½ of his age equals 15 years. How old is Jose? 14 6. How many times as great is 140,000 than 10 4 9 cm 7. A rectangle has an area of 108 cm 2 . If the length is 12 cm, what is the width? 12:45 PM 8. From Manila, it takes 3 ½ hours to reach Lucena. To reach Lucena at 4:15 PM, what time should I leave Manila? 6 cm 9. If the total surface area of a cube is 216 cm 2 , what is the length of an edge? 6 10. What digit may be used to replace 4 in 849 to make it divisible by 11? 10 11. 40% of 70 is what percent of 280? B. 30-second questions – 3 points each 9 1. An equilateral triangle has a side of 30 cm. How many smaller equilateral triangles of side 10 cm can be cut from it? 5:35 2. A plane travelling at 600 km/hr was 50 km from an airport at 5:30. At what time will it be over the airport? P 375,000 3. A rich man divided P 900,000 among his three sons in the ratio 3:4:5 according to age. How much did the eldest got? 45 4. The mean of three numbers is 37. If two of the numbers are 34 and 32, what is the third number? 96 5. If the side of a square is increased by 40% by how many percent is the area increased? 78 m 6. A rectangular garden has an area of 368 m 2 . If the length is 23 m, Page 1 of 2

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  • Nogales Files for CONGRESS ELEMENTARY SCHOOL

    2004 Metrobank-MTAP-DepEd Math Challenge Sectoral Finals - Grade 6

    A. 15-second questions 2 points each

    156 1. What is the largest whole number less than 190 that is divisible by 78?

    910 2.

    I am thinking of a number. If 52

    of the number is 94

    , what is the

    number?

    25% 3. Shoes that cost P600 are sold for P750. What is the gain percent?

    P7.00 4. Bus fare is P4.00 for the first 4 km and 50 for each additional km. How much is the fare for 10 km?

    20 yrs. old 5. One-fourth of Joses age plus of his age equals 15 years. How old is Jose?

    14 6. How many times as great is 140,000 than 104

    9 cm 7. A rectangle has an area of 108 cm2. If the length is 12 cm, what is the width?

    12:45 PM 8. From Manila, it takes 3 hours to reach Lucena. To reach Lucena at 4:15 PM, what time should I leave Manila?

    6 cm 9. If the total surface area of a cube is 216 cm2, what is the length of an edge?

    6 10. What digit may be used to replace 4 in 849 to make it divisible by 11?

    10 11. 40% of 70 is what percent of 280?

    B. 30-second questions 3 points each

    9 1. An equilateral triangle has a side of 30 cm. How many smaller equilateral triangles of side 10 cm can be cut from it?

    5:35 2. A plane travelling at 600 km/hr was 50 km from an airport at 5:30. At what time will it be over the airport?

    P375,000 3. A rich man divided P900,000 among his three sons in the ratio 3:4:5 according to age. How much did the eldest got?

    45 4. The mean of three numbers is 37. If two of the numbers are 34 and 32, what is the third number?

    96 5. If the side of a square is increased by 40% by how many percent is the area increased?

    78 m 6. A rectangular garden has an area of 368 m2. If the length is 23 m,

    Page 1 of 2

  • Nogales Files for CONGRESS ELEMENTARY SCHOOL

    what is its perimeter?

    C. 1-minute questions 5 points each

    P16,250 1. A salesman has a basic salary of P4,500 and a commission of 5% on all sales above P50,000. How much did he earn when his monthly sales amounted to P285,000?

    16 cm 2. An isosceles triangle has a base of 20 cm and an altitude of 12 cm. If each leg is 15 cm, find the length of the altitude to a leg.

    P87.00 3.John, Jun and Joey together have P240. P6 more than

    31

    of the

    money belong to John. Of the remaining money, Jun has P20 more than Joey. How much of the money belong to Jun?

    2125 4. What is the reciprocal of 0.016?

    3421,

    6542,

    9663

    5. In a 4-digit number, the thousands digit is thrice the units digit; the hundreds digit is 3 more than the units digit and the tens digit is the difference of the thousands and the units digit. Find at least 2 numbers that satisfy the conditions.

    12:35 6. If s:r = 3:5 and r:t = 4:7, what is s:t?

    Clincher questions

    21 1. If thrice a number decreased by 10 equals 53, find the number.

    25 2.Mother has a P500-bill. At her bank, she asked that

    52

    be

    changed into P20-bills, into P50-bills and the rest into 5-peso coins. How many bills and coins did she get?

    16% 3. The cost of a book increased from P95 to P110. By how many percent, to the nearest whole number, did the cost increase?

    Do-Or-Die questions 31.36 kg. 1. A beam 2 m long, 14 cm wide and 8 cm thick weighs 1.4 kg per

    cubic decimeter. What is the weight of the whole beam? [The answer in the paper is 22.4 kg but Dad said should be 31.36 kg (V = lwh = 20dm x 1.4dm x 0.8dm = 22.4dm3 x 1.4 = 31.36kg)]

    81 2. Four small squares are put together to form a bigger square. If the perimeter of the big square is 72 cm, what is the area of each small square?

    Filename: Sectoral Finals_2004G6.doc

    Page 2 of 2

    A.15-second questions 2 points eachB.30-second questions 3 points eachClincher questions Do-Or-Die questions