Math Challenge 2013

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12 π π π = FTTS FTTS MATH CHALLENGE 2013 December 13, 2013 INSTRUCTIONS 1. Do not open the booklet until you are instructed to do so. 2. The duration of the test is 75 minutes. 3. The test is composed of 30 multiple choice items. Use the information pro- vided in each item to choose the best answer from the four possible options. 4. On the answer sheet, write your name, school, and other information cor- rectly. Use only a mongol no. 2 pencil. Do not use a pen. 5. Completely shade the circle that corresponds to your answer on the answer sheet. 6. Mark only one circle for each question on the answer sheet. If more than one circle is shaded, it will automatically be considered an incorrect answer. 7. To change an answer, erase any error completely on the answer sheet and mark your new answer. 8. Talking, cheating, and assisting others during the test are strictly prohibited. These are grounds for disqualification. Leaving the room while the test is going on is also prohibited. 10. Submit the answer sheet to the proctor assigned at the end of the test. Grades 3 & 4

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Math Challenge 2013

Transcript of Math Challenge 2013

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    FTTS MATH CHALLENGE 2013 Grades 3 & 4

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    13,

    2013

    INSTRUCTIONS

    1. Do not open the booklet until you are instructed to do so.

    2. The duration of the test is 75 minutes.

    3. The test is composed of 30 multiple choice items. Use the information pro-

    vided in each item to choose the best answer from the four possible options.

    4. On the answer sheet, write your name, school, and other information cor-

    rectly. Use only a mongol no. 2 pencil. Do not use a pen.

    5. Completely shade the circle that corresponds to your answer on the answer

    sheet.

    6. Mark only one circle for each question on the answer sheet. If more than one

    circle is shaded, it will automatically be considered an incorrect answer.

    7. To change an answer, erase any error completely on the answer sheet and

    mark your new answer.

    8. Talking, cheating, and assisting others during the test are strictly prohibited.

    These are grounds for disqualification. Leaving the room while the test is

    going on is also prohibited.

    10. Submit the answer sheet to the proctor assigned at the end of the test.

    Grades 3 & 4

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    FTTS MATH CHALLENGE 2013 Grades 3 & 4

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    The figure below is made up of a square and 3 identical rectangles.

    What is the area of the shaded rectan-gle?

    A. 50 cm2 B. 75 cm2

    C. 100 cm2 D. 200 cm2

    A rectangular field has a length of 14 m and a width of 10 m. Then a 2 m pavement was built around the field. What is the area of the field that is not covered by the pavement?

    A. 48 m2 B. 50 m2 C. 58 m2 D. 60 m2

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    S T O P

    Check Your Work

    50 cm

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    FTTS MATH CHALLENGE 2013 Grades 3 & 4

    Expenses Amount

    Plane ticket 45,065

    Hotel accommodation & food

    16,897

    Tour expenses 14,450

    The cost of building a new basketball court is eleven million, one thousand, and ten pesos. What is this number in standard form?

    A. 11,010,010 B. 11,001,001

    C. 11,001,010

    D. 11,001,100

    Zsamiers trip to Turkey includes the following expenses:

    If we round each amount to the nearest thousands, how much will he spend for his trip?

    A. 76,412 B. 76,000 C. 77,000 D. 77,412

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    There were 6 x 105 + 3 x 104 + 7 x 103 + 9 x10 seagulls nest-ing on an island. What is the total number of seagulls in standard form?

    A. 637,090 B. 6,370,090 C. 637,900 D. 6,370,900

    Which of the following numbers

    is the greatest?

    A. 3 + 0 + 0 + 4

    B. 3 x 0 x 0 x 4

    C. (3 + 0) x (0 + 4)

    D. 30 x 0 x 4

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    The bar graph shows the number of newspaper subscriptions sold by a newspaper company in each of the 5 months. If this pattern continues, how many

    newspaper subscriptions will be sold in December?

    A. 1,100 B. 1,250

    C. 1,400 D. 1,550

    If + + = 160 and + = 64

    Find the value of + =?

    A.100

    B. 96

    C. 92

    D. 88

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    I am an even number. I am a multiple of 4 and a factor of 64. I am smaller than 20 but bigger than 10. What number am I?

    A. 12

    B. 14

    C. 16

    D. 18

    The figure below is made up of 6 squares of the same size.

    What fraction of the figure is shaded?

    A. B.

    C. D.

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    FTTS MATH CHALLENGE 2013 Grades 3 & 4

    SQUARE A

    RECTANGLE B

    How many hexagons will be needed to make pattern 6?

    A. 21

    B. 17 C. 15 D. 12

    Which of the following letters does not have a perpendicular line in it?

    E F M T A. T B. M

    C. F D. E

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    Ashanti was facing north. She turned counter-clockwise and is now facing North-East. What kind of angle did Ashanti turn?

    A. Acute angle B. Right angle C. Obtuse angle D. Reflex angle

    Square A and rectangle B have the same perimeter. What is the length of rectangle B?

    6 cm 4 cm

    A. 6 cm B. 8 cm C. 10 cm D. 12 cm

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    Vann had cards numbered 1 to 15. He placed all the odd-numbered cards in the first box and all the even- numbered cards in the second box. He then took 1 card from each box and noticed that the sum of the 2 cards was 29. What is the sum of the remaining cards in the first box?

    A. 56

    B. 49 C. 45 D. 42

    We planted 15 trees at the FTTS garden in equal distances along a straight road. The distance between the first tree and seventh tree is 4.2 m. How many centimeters is the distance between the first and the last tree?

    A. 9.8cm

    B. 98cm C. 980cm D. 9800cm

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    Motorbike race was scheduled

    to start at 4:30 PM; however it start-

    ed 1/4 of an hour behind the sched-

    ule. If the motorbike that came first

    finished one hour and thirty five

    minutes after the race began, and

    the motorbike that came in second

    finished 1/3 of an hour after this, at

    what time did the motorbike that

    came second cross the finish line?

    A. 6:40 PM

    B. 6:45 PM

    C. 6:50 PM

    D. 7:00 PM

    If I packed all of my candies into bags of 6, 12 and 18, there would not be any remaining candies. However, if I packed them into bags of 5 or 7, there would be 1 left over. At least, how many candies did I have?

    A. 48

    B. 36 C. 24 D. 18

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    FTTS MATH CHALLENGE 2013 Grades 3 & 4

    A store buys candies at 1.44 per dozen and sells the candies at 20 centavos each. What will be the stores profit on a day when it buys and sells 20 dozens candies?

    A. 20.60

    B. 19.20

    C. 18.60

    D. 17.40

    Julyaser was delivered 1,600

    watermelons to sell in the market.

    On the 1st day of the

    watermelons were sold, of the

    remainder were sold on the 2nd

    day and the rest were sold on the

    3rd day. How many watermelons

    were sold on the 3rd day?

    A. 400 B. 500 C. 600 D. 700

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    Mr. Harson owns a restaurant with 40 tables. A rectangular table is good for 6 people and a round table can have 4 people. When the restaurant is full, there are 184 people. How many rectangular tables are there?

    A. 12

    B. 24 C. 28 D. 32

    Now we are in the year 2013. The ratio of the ages of my father, my mother, and my younger sister is 12:9:2. Four years from now, my father will be 52 years old. What year was my younger sister born?

    A. 2002

    B. 2003 C. 2004 D. 2005

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    Four years ago the average age of Juliana and Carli was 20years. If Fatimah joins them today, the average becomes 24 years. How old is Fatimah now?

    A. 30

    B. 28

    C. 26 D. 24

    Aynas savings in a bank is 120. Jhannavins savings is 60. Every end of the week, Ayna withdraws 5 from her savings. At the same time, Jhannavin always deposits 2.50 into her savings. After how many weeks will the savings of Ayna and Jhannavin be equal?

    A. 8

    B. 9 C. 10 D. 11

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    In FTTS, 39 Grade IV pupils line up in a row to get into a bus for a picnic. Naf is the 18th from the front. Ibrahim is the 32nd from the back. How many pupils are there between Naif and Ibrahim?

    A. 11

    B. 10 C. 9 D. 8

    Seven Grade IV pupils are standing in a circle during a PE lesson. Each pupil is allowed to throw the ball to another pupil only once. What is the maximum number of throws that can be made?

    A. 24 B. 21 C. 18 D. 14

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    FTTS MATH CHALLENGE 2013 Grades 3 & 4

    Roxanne reads a book. The pages of the book are numbered consecutively: 1, 2, 3, and so on. No pages are missing. The digit 5 appears 15 times among the pages. What is the minimum number of pages in the book?

    A. 54

    B. 56 C. 58 D. 60

    Farmer Rasheed has 4 roost-ers and 4 hens. The hens laid 48 eggs in all. On an average, how many eggs did each hen lay?

    A. 6

    B. 12 C. 16 D. 18

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    The weight of a small box, two medium boxes and a large box altogether is 15,000 g. The weight of a small box, two medium boxes and two large box-es altogether is 20,000 g. What is the total weight of three small boxes and six medium boxes in kg?

    A. 10 kg

    B. 20 kg

    C. 30 kg

    D. 40 kg

    One pan can fry 2 pieces of meat at one time. Every piece of meat takes two minutes to be cooked (one minute for each side). Using only one pan, what is the least possible time to cook 1000 pieces of meat?

    A. 1000minutes

    B. 1500minutes C. 2000minutes D. 2500minutes

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