Đề thi Toán Kangaroo năm 2007 Full cấp độ

 Nipper (grades 1 and 2) 127
 Questions of Kangaroo 2007
 NIPPER (grades 1 and 2)
3-POINT QUESTIONS
N1. Which number should be written in place of the question mark?
 90 80 70 ? 50 40 30 20
 A 10 B 20 C 40 D 60 E 80
N2. Which bike is most expensive?
 950 Lt 590 Lt 905 Lt 899 Lt 509 Lt
 A B C DE
N3. Which kite has the longest string?
 A B C DE
N4. Yesterday we celebrated John’s birthday. Tomorrow will be Thursday. Which day of the weak
 was John’s birthday?
 A Monday B Tuesday C Wednesday D Thursday E Friday
N5. How many different digits can you find in this picture?
 A 5 B 6 C 7 D 9 E 13
N6. There were 14 passengers in the bus. At the first busstop 8 passengers got off and 5 passengers
 got on. In the next busstop 1 passenger got off and 8 got on. How many passengers are now
 going by the bus?
 A 10 B 18 C 24 D 0 E 4 Nipper (grades 1 and 2) 129
N12. A squirrel is following the paths of labyrinth and collecting food for winter. Which stuff it
 will not be able to take?
 A B C D E
5-POINT QUESTIONS
N13. Paul wishes to write different numbers from 1 to 9 in the
 cells of the table so that the total of the three numbers of ? 4
 each row and each column were equal to 15. Some of the
 numbers are already written there. What number must be 7
 written in place of the question mark? 8
 A 1 B 2 C 3 D 5 E 6
N14. Four people can be seated at a square table. How many
 people at most could be seated if we pushed four tables of
 this kind together in one row?
 A 6 B 8 C 9 D 10 E 12
N15. Yesterday Pete came home earlier than Helen. Julia came back earlier than Pete. Agnes
 never comes home earlier than Julia. Who was the first to come home?
 A Pete B Helen C Julia D Agnes E Impossible to answer Minor (grades 3 and 4) 131
 MINOR (grades 3 and 4)
3-POINT QUESTIONS
M1. Zita walks from left to right and puts the numbers into her basket. Which of the following
 numbers can be in her basket?
 135
 246
 A 1, 2 and 4 B 2, 3 and 4 C 2, 3 and 5 D 1, 5 and 6 E 1, 2 and 5
M2. In which figure can you find the largest number of small squares?
 AB C D E
M3. How many common letters do the words KANGAROO and PROBLEM have?
 A 5 B 1 C 7 D 2 E 3
M4. What is the first number larger than 2007 such that the sum of the digits be the same as that
 of 2007?
 A 2016 B 2115 C 2008 D 1008 E 2070
M5. There are 9 lampposts on one side of the path in the park. The distance between each pair of
 neighbouring lampposts is 8 metres. George was jumping all the way from the first lamppost
 to the last one. How many metres has he jumped?
 A 48 B 56 C 64 D 72 E 80
M6. The combination for opening a safe is a three-digit number made up of different digits. How
 many different combinations can you make using digits 1, 3 and 5 only?
 A 2 B 3 C 4 D 5 E 6 Minor (grades 3 and 4) 133
M14. John has 400 spaghetti strands, each 15 cm long, on his lunch plate. If he joined them end
 to end (using sauce as glue) to form one long strand, how long it would be:
 A 6km B 60 m C 600 cm D 6000 mm E 60 000 cm
M15. Peter wrote a one-digit number, then an additional digit on its right. He added 19 to the
 obtained number and got 72. What number did Peter write at first?
 A 2 B 5 C 6 D 7 E 9
M16. A digital clock shows the time 20:07. What minimal time should pass in order that the same
 four digits (in any order) would appear on the clock?
 A 4h20min B 6h00min C 10h55min D 11h13min E 24h00min
5-POINT QUESTIONS
M17. A cube with the edge 3 cm long is painted grey and cut into
 smaller cubes each with an edge of 1 cm long. How many
 smaller cubes will have exactly 2 faces painted?
 A 4 B 6 C 8 D 10 E 12
M18. A palindrome is a number which remains the same when its digits are written in a reverse
 order. For example, 1331 is a palindrome. A car’s odometer reads 15951. What is the least
 number of kilometers required for the next palindrome to appear?
 A 100 B 110 C 710 D 900 E 1010
M19. Romain, Fabien, Lise, Jennifer, Adrien are in a single queue. Romain is after Lise. Fabien is
 before Romain and just after Jennifer. Jennifer is before Lise, but she is not the first. Which
 is Adrien in the queue?
 A 1st B 2nd C 3rd D 4th E 5th
M20. We count the number of white cells. How many white cells has the next square?
 8 white
 cells
 21 white cells
 40 white cells
 A 50 B 60 C 65 D 70 E 75 Benjamin (grades 5 and 6 ) 135
 BENJAMIN (grades 5 and 6)
3-POINT QUESTIONS
B1. How many common letters do the words KANGAROO and PROBLEM have?
 A 5 B 1 C 7 D 2 E 3
B2. In which figure can you find the largest number of small squares?
 AB C D E
B3. In the square below the numbers 1, 2 and 3 must be written in
 the cells. In each row and in each column each of the numbers 1, 1
 2and3mustappear.Harrystartedtofillinthesquare.Inhow
 many ways can he complete this task? 2 1
 A 1 B 2 C 3 D 4 E 5
B4. It takes kangaroo 6 seconds for every 4 jumps. How long does it take it to do 10 jumps?
 A 10 B 12 C 15 D 18 E 20
B5. How much is 2007 : (2 + 0 + 0 + 7) − 2 × 0 × 0 × 7?
 A 1 B 9 C 214 D 223 E 2007
B6. The robot starts walking over white cells of the table from the cell
 A2 in the direction of the arrow, as shown in the picture. It goes al- 4
 ways forward. If it meets an obstacle (a black cell or the border of 3
 the table), it turns right. The robot stops in case, it cannot go for-
 ward after turning right (i.e., it stops in the cell where the obstacles 2
 appear in front of him and on the right). In which cell will it stop? 1
 A B2 B B1 C A1 D D1 E It never stops
 A B C D
B7. Basil, who is older than Pete by 1 year minus 1 day, was born on January 1, 2002. What is
 the date of Pete’s birth?
 A January 2, 2003 B January 2, 2001 C December 31, 2000
 D December 31, 2002 E December 31, 2003
B8. The carpenter’s machine can perform two operations: P and T. The P :
 operation P is “printing” and T is “turning” (see the figure). What
 
 is the right sequence of operations to obtain starting from ? T :
 A TTP B PTT C TPT D TPP E TPTTT
B9. If you cut a 1 meter cube into decimeter cubes and put them one on the other, what height
 will this structure have?
 A 100 m B 1km C 10 km D 1000 km E 10 m Benjamin (grades 5 and 6 ) 137
B17. Harry sent a pigeon at 7.30 a.m. to deliver a message to Ron. The pigeon delivered the
 envelope to Ron at 9.10 a.m. It flew 10 minutes every 4 km. What was the distance between
 Ron and Harry?
 A 14 km B 20 km C 40 km D 56 km E 64 km
B18. A parallelogram is divided in two parts P1 and P2,asshown
 in the picture. Which sentence is always true?
 P2
 A P has a longer perimeter than P
 2 1 P
 B P2 has a smaller perimeter than P1 1
 C P2 has a smaller area than P1
 D P1 and P2 have the same perimeter
 E P1 and P2 have the same area
B19. The squares are formed by intersecting the segment AB of 24 cm by the broken line
 AA1A2 ...A12B (see the figure). Find the length of AA1A2 ...A12B.
 A A
 A 5 6
 A1 2
 A
 9 A10
 B
 A
 A 48 cm
 A A B
 3 4 A A 72 cm
 7 8 C 96 cm
 D 56 cm
 E 106 cm
 A11 A12
B20. The 2007-th letter in the sequence KANGAROOKANGAROOKANG ... is
 A K B A C N D R E O
5-POINT QUESTIONS
B21. Agnes is 10 years old. Her mother Lisa is 4 times as old. How old will Lisa be when Agnes
 is twice as old as she is now?
 A 40 years B 50 years C 60 years D 70 years E 80 years
B22. On the right side of a given 2-digit number we write the same number and obtain a 4-digit
 number. How many times the 4-digit number is greater than the 2-digit number?
 A 11 B 101 C 100 D 1001 E 10
B23. Figure S is made from four paper ribbons 10 cm wide. Each
 of the ribbons is 25 cm longer than the previous one (see
 the picture). By how many centimetres will the perimeter
 of figure T (made from the same ribbons) exceed that of
 figure S?
 A 20 B 25 C 40 D 50
 E S and T have the same perimeter
 ST