GBW Math Club

Kangaroo Mock Test

Feb 25, 2013

Level 3 - 4Do not open the test until instructed

Kangaroo for Grades 3-4

3 Point Problems

1. Each in the equation + + + = + 8 + represent the same number. What is the number?

A) 2 B) 3 C) 4 D) 5 E) 6

2. Which of the following numbers is a prime number?

A) 201 + 2 - 1 B) 2 + 0 - 1 C) 203 + 5 - 9 D) 201 + 0 – 0 E) 201 x 0 x 1

3. Two years ago the sum of the ages of the cats Mr. Meow and Mr. Whiskers was 15. Now Mr. Meow is 13 years old. In how many years will Mr. Whiskers be 9 years old?

A) in 1 year B) in 5 years C) in 3 years D) in 4 years E) in 2 years

4. Which of the following expressions has a different value from all others?

A) 20 x 10 + 20 x 10 B) 20 ÷ 10 x 20 x 10 C) 20 x 10 x 20 ÷ 10 D) 20 x 10 + 10 x 20 E) 20 ÷ 10 x 20 + 10

5. An old book was missing several consecutive pages. The last page number before the missing pages was 28 and the first page number after the missing pages was 75. How many pages were missing from the old book?

A) 46 B) 47 C) 22 D) 23 E) 21

6. A fly has 6 legs and a spider has 8 legs. Together, 2 flies and 3 spiders have as many legs as 10 birds and

A) 5 cats. B) 4 cats. C) 3 cats. D) 2 cats E) 1 cat.

7. Which of the numbers below is even?

A) 2009 B) 2 + 0 + 0 +9 C) 200 - 9 D) 200 x 9 E) 200 + 9

8. There are cats and dogs in a room. The number of cat paws in this room is twice the number of dog noses. The number of cats is

A) twice the number of dogs B) equal to the number of dogs C) half the number of dogs D) ¼ the number of dogs E) 1/6 the number of dogs

4 Point Problems

9. Mark’s grandfather sleeps through exactly a quarter of the day. Mark sleeps one and a half times as long as his grandfather. What fraction of the day does Mark spend sleeping?

A) 1/6 B) ½ C) 1/8 D) 3/8 E) ¾

10. The smallest number of digits that needs to be erased from the number 12323314 in order to get a number that reads the same from left to right as from right to left is

A) 1 B) 2 C) 3 D) 4 E) 5

11. The product 60 x 24 x 60 x 7 is equal to

A) the number of seconds in one week B) the number of seconds in seven hours C) the number of minutes in seven weeks D) the number of minutes in 24 weeks E) the number of hours in sixty days

12. The sum of the numbers in each ring below should be 55. What is the value of A?

A) 9 B) 10 C) 13 D) 16 E) 17

13. Sophie draws kangaroos: a blue one, then a green, then a red, then a black, a blue, a green, a red, a black, and so on…What color is the 29th kangaroo?

A) blue B) green C) red D) black E) it’s impossible to know

14. There were 60 birds on three trees. At some moment 6 birds flew away from the first tree, 8 birds flew away from the second tree, and 4 birds flew away from the third tree. After that, it turned out that the number of birds on each tree was the same. How many birds were there on the second tree in the beginning?

A) 26 B) 24 C) 22 D) 21 E) 20

15. Anna wrote a 2-digit number. Ben created a 4-digit number by copying Anna's number twice. Then Anna divided Ben's number by her number. What was the result she got?

A) 100 B) 101 C) 1000 D) 1001 E) 10

16. Aunt Mary has a gift shop. She buys 3 purses for $10 and sells them for $6 a piece. Last month, she sold every purse she bought, and made a profit of $120. How many purses did she buy?

A) 42 B) 43 C) 44 D) 45 E) 46

5 Point Problems

17. Julia spent 1/3 of her birthday money. Then she lost 1/2 of the rest. She now has $10 left. How much did she get for her birthday?

A) 27 B) 30 C) 33 D) 36 E) 42

18. Adam divided a certain secret number by 7. Then, he added 7 to the result and multiplied the number he obtained by 7. For the final result he got the number 777. What was Adam’s secret number?

A) 770 B) 111 C) 722 D) 567 E) 728

19. Each of the numbers 1, 5, 9, 13 and 17 must be placed in one of the five squares so that the sum of the three numbers in the horizontal row equals the sum of the three numbers in the vertical column. What is the largest possible sum of the numbers in the row obtained in this way?

A) 27 B) 23 C) 31 D) 39 E) 28

20. Adam, Bart, Caesar and Daniel took the first four places in a chess tournament. The sum of the numbers of the places of Adam, Bart and Daniel is equal to six. The sum of the places of Bart and Caesar is also equal to six. It is also known that Bart did better than Adam. Which of the boys won the first place?

A) Adam B) Bart C) Caesar D) Daniel E) it cannot be determined

21. Adam wanted to read a 290 page book. He decides to read four pages each day except Sunday when he reads twenty five pages. He started reading the book on a Sunday. How many days will it take him to read it?

A) 15 B) 46 C) 40 D) 35 E) 41

22. Alex, Ben, Carl and Daniel each participates in a different sport: Karate, Soccer, Volleyball and Judo. Alex does not like sports played with a ball. Ben practices Judo and often attends soccer games to watch his friend play. Which of the following statement is true?

A) Alex plays Volleyball B) Ben plays Soccer C) Carl plays volleyball D) Daniel does karate E) Alex does Judo

23. Anne added the largest two digit number divisible by 3 to the smallest two digit number divisible by 3. Adam added the largest two digit number not divisible by 3 to the smallest two digit number not divisible by 3. How much bigger is the sum that Anne calculated than the sum Adam calculated?

A) By 2 B) By 3 C) By 4 D) By 5 E) By 6

24. Tom, Ron, Andre and Mike said the following about a certain number: Tom – “the number is equal to 9.”; Ron – “the number is a prime number”; Andre – “ the number is even” ; Mike – The number is equal to 15. Only one of the statements given by Ron or Tom is true and only one of the statements given by either Andre or Mike is true. What number are they talking about?

A) 1 B) 2 C) 3 D) 9 E) 15

Level 3-4 ANSWER KEY:

1. C2. C3. C4. E5. D6. B7. D8. C9. D10. C11. A12. B13. A14. C15. B16. D17. B18. E19. C20. D21. E22. C23. B24. B