GBW Math Club Dec’2012 Contest

4th Grade

Student Name: _____________________________

Grade:____________________________________

Coach’s Name:____________________________

Date:____________________________________

Do not open the test until instructed

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1) At the zoo, Bolek saw kangaroos for the first time. He noticed that each kangaroo had four legs, two ears and one tail. For fun, he counted all the legs, ears and tails, and got the number 63. How many kangaroos did Bolek see?

Answer: _________________

2) Karl is now 10 years old, and Ala is 3 years old. How many years from now will Karl be twice as old as Ala?

Answer: _________________

3) Our class has 30 students. The number of boys is four times greater than the number of girls. How many girls are there in our class?

Answer: _________________

4) The figure presented in the picture, made with identical cubes, weighs 189 grams. How much does one cube weigh?

Answer: _________________

5) A birthday candle stays lit for 15 minutes. For how long will 10 birthday candles stay lit if they are lit at the same time and no one blows them out?

Answer: _________________

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6) George is drawing kangaroos. The first one is blue, the next one green, followed by red, and finally yellow, and then again blue, green, red, yellow, and so on, in the same order. What color will the seventeenth kangaroo be?

Answer: _________________

7) A farmer who raises chicken has boxes which hold 6 eggs each and boxes which hold 12 eggs each. What is the least number of boxes he needs to store 66 eggs?

Answer: _________________

8) The sheet is folded along the thick line. Which letter will not be covered by the grayed square?

Answer: _________________

9) Peter wrote out consecutive natural numbers starting with 3 until he had written 35 digits. What was the greatest number that Peter wrote?

Answer: _________________

10) Jumping Kangaroo is practicing for the animal Olympics. His longest jump during the training was 55 dm 50 mm long, but in the finals of the Olympics he won with a jump that was 123 cm longer. How long was Jumping Kangaroo’s longest jump during the Olympics? Give the answer in meters and centimeters

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Answer: _________________

11) Anna fell asleep at 9:30 PM and woke up at 6:45 AM the next day. Her little brother Peter slept 1 hour and 50 minutes longer. How long did Peter sleep?

Answer: _________________

12) Ania divided a certain number by 10 instead of multiplying it by 10. As a result she got 600. What would the result have been if she hadn’t made that mistake?

Answer: _________________

13) Eva is 52 days older than her friend Ania. Eva had her birthday on Tuesday in March of this year. On which day of the week will Ania celebrate her birthday this year?

Answer: _________________

14) Which numbers are inside a rectangle and inside a circle but not inside a triangle at the same time?

Answer: _________________

15) A cube with a side length of 3 cm is painted gray and cut into smaller cubes each with a side length of 1 cm. How many of the smaller cubes will have exactly 2 faces painted?

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Answer: _________________

16) A palindrome is a number which remains the same when its digits are written in reverse order. For example 1331 is a palindrome. A car's odometer reads 15951. Find the least number of kilometers required for the next palindrome to appear.

Answer: _________________

17) Three kangaroos were born consecutively every 4 years. Right now the oldest kangaroo is 5 times as old as the youngest one. How old is the youngest kangaroo?

Answer: _________________

18) There were some birds sitting on the telegraph wire. At one moment, 5 of them flew away and after some time, 3 birds came back. At that time there were 12 birds sitting on the wire. How many birds were there at the very beginning?

Answer: _________________

19) Paul, Darius, Micah and Jeff met at a concert in Chicago, but they came from different cities: Pittsburgh, Dallas, New York and Washington. We know that:

Paul and the boy from Washington met in Chicago early in the morning on the day of the concert. They had never been to Pittsburg or to New York.

Micah is not from Washington, and he came to Chicago later then the boy from Pittsburgh.

Jeff liked the concert more than the boy from Pittsburgh did.What city is Jeff from?

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Answer: _________________

20) Olga has three cards as shown in the picture. Using them she can form different numbers for example 989, 986, 866 and so on. How many different 3 digits number she can form using these three cards?

Answer: _________________

21) The sum of the digits of the 10-digit number is 9.What is the product of the digits of this number?

Answer: _________________

22) Olivia is ten years old and is six times younger than her grandmother. Olivia’s grandmother is 14 years older than the ages of Olivia and her mother added together. Olivia’s great-grandmother age is equal to the sum of Olivia’s grandmother’s and Olivia’s mother’s ages. How old is Olivia’s great- grandmother?

Answer: _________________

23) Mary’s brother has 3 sisters so Mary has _____ sisters

Answer: _________________

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24) Each of the chef’s omelets uses 3 eggs. How many omelets can the chef make with 1 dozen brown eggs, 1 dozen white eggs and 1 dozen speckled eggs?

Answer: _________________

25) ( 10 – 10 ) * ( 10 + 10 )?

Answer: _________________

26) 21 + 32 + 43 + 54 + 65 = 11 + 22 + 33 + 44 + 55 + ?

Answer: _________________

27) $1 in quarters and $5 in nickels is _________ coins?

Answer: _________________

28) September 9th, 2012 is a Monday. What day is September 21rst 2012?

Answer: _________________

29) $300 + $3 + 300c + 3c?

Answer: _________________

30) If it rained on every even number day in April 2012, then on exactly how many days did it rain in April?

Answer: _________________

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4th Grade Test SOLUTIONS

1. 92. 43. 64. 215. 156. Blue7. 68. E9. 2310. 6 m 78 cm11. 11 hr 5 min12. 60,00013. Friday14. 1 and 1015. 1216. 11017. 218. 1419. Washington20. 1221. 022. 9623. 224. 1225. 026. 5027. 10428. Saturday29. $306.0330. 15

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