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    ASMO 2019 Maths Grade 6

    Uploaded by

    anthony
    This document contains 25 math word problems for a school math olympiad contest. The problems cover a range of topics including fractions, percentages, averages, time, ratios, and geometry. Students are asked to solve the problems and show their work.

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    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd

    ASMO 2019 Maths Grade 6

    Uploaded by

    anthony
    770 views10 pages
    This document contains 25 math word problems for a school math olympiad contest. The problems cover a range of topics including fractions, percentages, averages, time, ratios, and geometry. Students are asked to solve the problems and show their work.

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    This document contains 25 math word problems for a school math olympiad contest. The problems cover a range of topics including fractions, percentages, averages, time, ratios, and geometry. Students are asked to solve the problems and show their work.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    770 views10 pages

    ASMO 2019 Maths Grade 6

    Uploaded by

    anthony
    This document contains 25 math word problems for a school math olympiad contest. The problems cover a range of topics including fractions, percentages, averages, time, ratios, and geometry. Students are asked to solve the problems and show their work.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 10

    DIVISION

    MATHS OLYMPIAD
    P 2019 CONTEST
    SCHOOL ROUND
    YEAR 6

    238
    1. Calculate： 238  238 ?
    239

    2. The sum of father’s and son’s age is 64 years old. Three times the son’s age is 8 years old
    older than father’s age. What are the ages of father and son respectively?

    Asian Science and Mathematics Olympiads


    DIVISION
    MATHS OLYMPIAD
    P 2019 CONTEST
    SCHOOL ROUND
    YEAR 6

    3. The average value of A, B and C is 70. A has a value of 80 while B and C have the same
    value, what is the value of B?

    1 1
    4. 150kg minus of its weight and kg. How much weight is remaining?
    6 6

    5. Father has RM1500.00. He bought a table with 30% of his money. He bought a vacuum
    cleaner with 55% of the remaining money. Lastly, he gave half of the remaining money to
    mother. How much money did mother receive?

    Asian Science and Mathematics Olympiads


    DIVISION
    MATHS OLYMPIAD
    P 2019 CONTEST
    SCHOOL ROUND
    YEAR 6

    6. The average value of 8 numbers is 180. After adding in 120 and 150, what is the new average
    value?

    1
    7. The current age for little brother is of big brother’s age. 9 years ago, little brother’s age is
    2
    1
    only of big brother’s age. How old is big brother now?
    5

    8. To cut a piece of wood into 4 sections requires 6 minutes. How long does it take to cut the
    piece of wood into 8 sections?

    Asian Science and Mathematics Olympiads


    DIVISION
    MATHS OLYMPIAD
    P 2019 CONTEST
    SCHOOL ROUND
    YEAR 6

    9. If someone invests in a stock that reduces in value for 20% in the first year. How many
    percent must the stock increase in value so that the stock value comes back to its original
    value?

    10. Two cubes with a bottom surface area of 20 cm2 are combined to become a cuboid. What
    is the surface area of the cuboid?

    11. What is the whole number solution for 3x  4 y  23 if x  5 ?

    Asian Science and Mathematics Olympiads


    DIVISION
    MATHS OLYMPIAD
    P 2019 CONTEST
    SCHOOL ROUND
    YEAR 6

    22
    12. The area of the square is 24 cm2 , what is the area of the shaded region?（   ）
    7

    13. In some water that has a salt content of 15%, the weight of salt in the water is 20kg. To
    make the salt content 20%, how much salt must be added into the water?

    14. 2019 divided by a natural number ‘a’. If the quotient is 51, what is the remainder?

    Asian Science and Mathematics Olympiads


    DIVISION
    MATHS OLYMPIAD
    P 2019 CONTEST
    SCHOOL ROUND
    YEAR 6

    15. Two cars depart from the same place to send some stuff to a factory 165km away. Car A
    reaches the factory 48 minutes earlier than car B, and car B is 24km away from the
    destination. How long does it take for car A to reach the factory?

    5 2
    16. One number is deducted from the numerator and denominator of . The new fraction is
    7 3
    after simplification. What is the number deducted?

    Asian Science and Mathematics Olympiads


    DIVISION
    MATHS OLYMPIAD
    P 2019 CONTEST
    SCHOOL ROUND
    YEAR 6

    17. a and b are different numbers from the first 50 whole numbers. What is the largest value of
    a b
    .
    ab

    18. In natural numbers 1~100, how many ‘1’s are there?

    Asian Science and Mathematics Olympiads


    DIVISION
    MATHS OLYMPIAD
    P 2019 CONTEST
    SCHOOL ROUND
    YEAR 6

    19. Just like in the diagram, there are three arrangements of cubes labelled with 1，2，3，4，
    5，6. In the diagram below, what is the sum of the numbers on the face of the cube that
    faces left?

    3
    20. In a mathematics competition, the average score for the class is 70 marks. of the students
    5
    in the class got the passing grade in the competition. The average mark for the students that
    passed is 80. What is the average mark for the student that failed?

    Asian Science and Mathematics Olympiads


    DIVISION
    MATHS OLYMPIAD
    P 2019 CONTEST
    SCHOOL ROUND
    YEAR 6

    21. There is a job which Ali used 12 hours to finish it alone. If Ali and Abu work on the job together
    for 4 hours, Abu can finish the remaining in 6 hours. How many hours does it take for Ali and
    Abu to finish the entire job together?

    22. There are four colours of balls, red, white, blue and yellow. There are 20 balls for each colour.
    All the balls are put into the bag. Each time, one ball is taken out of the bag. What is the
    minimum amount of balls that must be taken out of the bag so that in the balls taken out,
    there would be 6 balls of the same colour for sure?

    23. Today is Sunday, what day is it after 99 2 days?

    Asian Science and Mathematics Olympiads


    DIVISION
    MATHS OLYMPIAD
    P 2019 CONTEST
    SCHOOL ROUND
    YEAR 6

    1 1 1 1
    24. Calculate：     ?
    1 5 5  9 9 13 53  57

    25. A, B and C are three gears that mesh together. When A spins for 4 times, B spins for 7 times
    and C spins for 3 times. What is the minimum number of teeth for each gear respectively?

    Asian Science and Mathematics Olympiads

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