IKMC grade 5 6 from 2005 to 2018

Edited with the trial version of Foxit Advanced PDF Editor To remove this notice, visit: Max Time:www.foxitsoftware.com/shopping 60 CLB EMATH Kangaroo 2005 — Benjamin Benjamin 3-Point-Problems What is 2005 × 100 + 2005? (A) 2005002005 (B) 20052005 (C) 2007005 (D) 202505 Ali and Amna have 10 sweets, but Amna has more than Ali How many sweets does Amna have? (A) (B) (C) (D) In the diagram any of the eight kangaroos can jump to another square What is the least number of kangaroos that must jump so that each row and each column has exactly two kangaroos? (A) (B) (C) (D) 4 Ali lives with his father, mother, brother and also one dog, two cats, two parrots and four goldfish How many legs they have altogether? (A) 13 (B) 28 (C) 24 (D) 22 A butterfly sat down on my correctly solved exercise What number is the butterfly covering? 2005 − 205 = 25+ (A) 1825 (B) 2185 (C) 1775 (D) 1800 The diagram shows a cube with sides of length 12 cm An ant is walking across the cube’s surface from A to B on the route shown How far does it walk? (A) 40 cm (B) 48 cm (C) 60 cm (D) It is impossible to determine Phòng 302 nhà N3B – Bồi dưỡng toán tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor To remove this notice, visit: Max Time:www.foxitsoftware.com/shopping 60 CLB EMATH Kangaroo 2005 — Benjamin Saima cut a sheet of paper into 10 pieces Then she took one of the pieces and cut it into 10 pieces also She repeated this twice more How many pieces of paper did she have in the end? (A) 27 (B) 30 (C) 37 (D) 40 Aisha chose a whole number and multiplied it by Which of the following numbers could not be her answer? (A) 103 (B) 105 (C) 204 (D) 444 4-Point-Problems The five cards with the numbers from to lie in a horizontal row (see the figure) Per move, any two cards may be interchanged Find the smallest number of the moves required to arrange all cards in increasing order? (A) (B) (C) (D) 10 How many hours are there in half of a third of a quarter of a day? (A) (B) (C) (D) 11 Raza needs 40 minutes to walk from home to the sea by foot and to return home on an elephant When he rides both ways on an elephant, the journey takes 32 minutes How long would the journey last, if he would walk both directions? (A) 36 minutes (B) 42 minutes (C) 46 minutes (D) 48 minutes 12 If the sum of five consecutive positive integers is 2005, then the largest of these numbers is (A) 401 (B) 403 (C) 405 (D) 2001 13 How many different factors (including and 100) does 100 have? (A) (B) (C) (D) Phòng 302 nhà N3B – Bồi dưỡng toán tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor To remove this notice, visit: Max Time:www.foxitsoftware.com/shopping 60 CLB EMATH Kangaroo 2005 — Benjamin 14 If you count the number of all possible triangles and the number of all possible squares in the picture how many more triangles than squares you find? (A) the same quantity (B) (C) (D) 15 Which of equalities means that m makes 30 % from k? (A) 10m – 3k = (C) 7m – 10k = (B) 3m – 10k = (D) 7m – 3k = 16 If you fold up the net on the right, which of these cubes can you make? (A) (B) (C) (D) Phịng 302 nhà N3B – Bồi dưỡng tốn tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor To remove this notice, visit: CLB EMATH Kangaroo 2005 — Benjamin Max Time:www.foxitsoftware.com/shopping 60 5-Point-Problems 17 Different figures represent the different digits Find the digit corresponding to the square (A) (B) (C) (D) 18 In a trunk there are chests, in each chest there are boxes, and in each box there are 10 gold coins The trunk, the chests, and the boxes are locked How many locks must be opened in order to get 50 coins? (A) (B) (C) (D) 19 A caterpillar starts from his home and move directly on a ground, turning after each hour at 90° to the left or to the right In the first hour he moved m, in the second hour m, and so on At what minimum distance from his home the caterpillar would be after six hours traveling? (A) m (B) m (C) 1.5 m (D) 2.5 m 20 The sum of ten distinct positive numbers is 100 The largest of these numbers can be: (A) 10 (B) 13 (C) 55 (D) 60 Phòng 302 nhà N3B – Bồi dưỡng toán tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor To remove this notice, visit: Max Time:www.foxitsoftware.com/shopping 75 CLB EMATH Kangaroo 2006 — Benjamin Benjamin: Class (5-6) 3-Point-Problems  2006 = 2005 + 2007 + A) 2005 B) 2006 Find the missing number C) 2007 Six numbers are written on the cards, as shown What is the largest number you can form with the given cards by placing them in a row? A) 876 543 210 B) 130 975 682 D) 2008 41 309 68 C) 568 413 092 D) 685 413 092 Four people can sit at a square table For the school party the students put together 10 square tables in order to make one long table How many people could sit at this long table? A) 20 B) 22 C) 30 D) 32 Choose the picture where the angle between the hands of a watch is 150º A) B) C) D) On the left side of Main Street one will find all odd house-numbers from to 39 On the right side the house-numbers are all the even numbers from to 34 How many houses are there on the Main Street? A) 35 B) 36 C) 37 D) 38 With how many ways one can get a number 2006 while following the arrows on the figure? A) B) C) D) One half of one hundredth is A) 0.005 B) 0.05 C) 0.02 D) 0.5 Phòng 302 nhà N3B – Bồi dưỡng toán tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor To remove this notice, visit: CLB EMATH Kangaroo 2006 — Benjamin Max Time:www.foxitsoftware.com/shopping 75 The cube in the figure has one of the following nets: A B C D 4-Point-Problems We need kg of ink to paint the whole cube How much ink you need to paint the surface of figure near the cube (see figure)? A) B) C) D) 10 What is the difference between the sum of the first 100 strictly positive even numbers and the sum of the first 100 positive odd numbers? A) 20 B) 50 C) 100 D) 200 11 A paper in the shape of a regular hexagon, as the one shown, is folded in such a way that the three marked corners touch each other at the centre of the hexagon What is the obtained figure? A) six corner star B) hexagon C) square D) triangle 12 The diameter AB of the circle is 10 cm (as shown in figure) What is the perimeter of the figure which is marked with dark line, if the rectangles in the figure are coincident? A) 16 cm B) 20 cm C) 25 cm D) 30 cm Phòng 302 nhà N3B – Bồi dưỡng toán tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor To remove this notice, visit: Max Time:www.foxitsoftware.com/shopping 75 CLB EMATH Kangaroo 2006 — Benjamin 13 Which path is the shortest? A) B) C) D) rd 14 Ali is building squares with matches adding small squares that it already has built according to the schema of the figure How many matches does he have to add to the 5th square to build the 6th square? A) 12 nd st B) 18 C) 20 D) 24 15 The first three letters of the word KANGAROO are put in equal squares with length of side (as shown in figure) Find a false statement A perimeter of K is more than perimeter of A by B perimeter of N is more than perimeter of A by C perimeters of A and N are equal D perimeters of K and N are equal 16 Find a truly end of the sentence: If I look on your reflection then A your reflection looks on me B my reflection looks on you C my reflection looks on your reflection D your reflection looks on mine reflection 5-Point-Problems 17 A rod of length 15 dm was divided into the greatest possible number of pieces of different integer lengths in dm The number of cuts is: A) B) C) D) Phịng 302 nhà N3B – Bồi dưỡng tốn tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor To remove this notice, visit: Kangaroo 2006 — Benjamin CLB EMATH 18 A river goes through a city and there are two islands There are also six bridges as shown in the figure How many paths there are going out of a shore of the river (point A) and come back (to point B) after having spent one and only one time for each bridge? A) B) C) Max Time:www.foxitsoftware.com/shopping 75 D) 19 In which of triples the central number is strictly in the middle between two others 1 1 A) , , B) 12, 21, 32 C) 3, 7, 13 D) , , 3 20 What is the smallest number of dots that need to be removed from the pattern shown, so that no three of the remaining dots are at the vertices of an equilateral triangle? A) B) C) D) Phòng 302 nhà N3B – Bồi dưỡng toán tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor To remove this notice, visit: www.foxitsoftware.com/shopping INTERNATIONAL KANGAROO MATHEMATICS CONTEST 2007 CLB EMATH Level Benjamin: Class (5 & 6) Max Time: Hour & 15 Minutes 3-Point-Problems Q1 Asia walks from the left to the right and puts the numbers in her basket Which of the following numbers can be in her basket? A) 1, and B) 2, and C) 2, and D) 1, and Q2 Which piece fits together with the given one to form a rectangle? A) B) C) D) Q3 A kangaroo takes seconds for every jumps How long does it take her to 10 jumps? A) 15 Q4 B) 12 C) 10 D) 18 2007÷ (2 + + + 7) − × × × = ? A) B) 214 C) 223 D) 2007 Q5 Usman, who is older than Ali by year minus day, was born on January 1, 2002 What is the date of Ali’s birth? A) January 2, 2003 D) December 31, 2002 B) January 2, 2001 C) December 31, 2000 Phòng 302 nhà N3B – Bồi dưỡng toán tiểu học THCS Thầy Quân 0868869670 of Edited with the trial version of Foxit Advanced PDF Editor To remove this notice, visit: www.foxitsoftware.com/shopping INTERNATIONAL KANGAROO MATHEMATICS CONTEST 2007 CLB EMATH Q6 The Carpenter’s shop has two machines A and B A is a “printing machine” and B is a “turning machine” What’s the right sequence to obtain starting from ? A) BBA B) ABB C) BAB D) BA Q7 If you cut a meter cube into decimeter cubes and put one on the other, what height this structure will have? A) 100 m B) km C) 10 km D) 10 m Q8 Uzma cut a paper in the shape of a square with perimeter 20 cm into two rectangles The perimeter of one rectangle was 16 cm What was the perimeter of the second rectangle? A) cm B) cm C) 12 cm D) 14 cm 4-Point-Problems Q9 In a square grid Hina colours the small squares that lie on the two diagonals What is the size of the grid if Hina altogether colours small squares? A) ×3 B) × C) ×5 D) ×8 Q10 In three adjacent faces of a cube, diagonals are drawn as shown in the figure Which of the following net is that of the given cube? A) B) C) D) Q11 There were 60 birds at three trees In some moment birds flew away from the first tree, birds flew away from the second tree, and birds flew away from the third tree Then there were the same number of birds at each of the three trees How many birds were there at the second tree at the beginning? A) 24 B) 22 D) 20 Phịng 302 nhà N3B – Bồi dưỡng tốn tiểu học C) và21THCS Thầy Quân 0868869670 of Edited with the trial version of Foxit Advanced PDF Editor CLB EMATH To remove this notice, visit: www.foxitsoftware.com/shopping Phòng 302 nhà N3B – Bồi dưỡng toán tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor CLB EMATH To remove this notice, visit: www.foxitsoftware.com/shopping Phịng 302 nhà N3B – Bồi dưỡng tốn tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor CLB EMATH To remove this notice, visit: www.foxitsoftware.com/shopping Phòng 302 nhà N3B – Bồi dưỡng toán tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor CLB EMATH To remove this notice, visit: www.foxitsoftware.com/shopping Phòng 302 nhà N3B – Bồi dưỡng toán tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor CLB EMATH To remove this notice, visit: www.foxitsoftware.com/shopping Phòng 302 nhà N3B – Bồi dưỡng toán tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor CLB EMATH To remove this notice, visit: www.foxitsoftware.com/shopping Phịng 302 nhà N3B – Bồi dưỡng tốn tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor CLB EMATH To remove this notice, visit: www.foxitsoftware.com/shopping Phòng 302 nhà N3B – Bồi dưỡng toán tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor CLB EMATH To remove this notice, visit: www.foxitsoftware.com/shopping Phòng 302 nhà N3B – Bồi dưỡng toán tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor CLB EMATH To remove this notice, visit: www.foxitsoftware.com/shopping Phịng 302 nhà N3B – Bồi dưỡng tốn tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor CLB EMATH To remove this notice, visit: www.foxitsoftware.com/shopping Phòng 302 nhà N3B – Bồi dưỡng toán tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor CLB EMATH To remove this notice, visit: www.foxitsoftware.com/shopping Phòng 302 nhà N3B – Bồi dưỡng toán tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor CLB EMATH To remove this notice, visit: www.foxitsoftware.com/shopping Phịng 302 nhà N3B – Bồi dưỡng tốn tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor CLB EMATH To remove this notice, visit: www.foxitsoftware.com/shopping Phòng 302 nhà N3B – Bồi dưỡng toán tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor CLB EMATH To remove this notice, visit: www.foxitsoftware.com/shopping Phòng 302 nhà N3B – Bồi dưỡng toán tiểu học THCS Thầy Quân 0868869670 Edited with the trial version of Foxit Advanced PDF Editor CLB EMATH To remove this notice, visit: www.foxitsoftware.com/shopping Phòng 302 nhà N3B – Bồi dưỡng toán tiểu học THCS Thầy Quân 0868869670 ... forks, the water splits into two equal parts How many litres of water will reach container Y? (A )50 0 (B) 66 0 (C )66 6 .67 (D) 750 (E) 800 PROBLEM 08 The date 01-03- 05 (1 March 20 05) consists of three... A) 8 76 54 3 210 B) 130 9 75 68 2 D) 2008 41 309 68 C) 56 8 413 092 D) 6 85 413 092 Four people can sit at a square table For the school party the students put together 10 square tables in order to make... stairs; one – from bottom to top, another – from top to bottom They met on a stair that was called the 10th by Nadeem What number will Mahmood give to this stair? A) 13 B) 11 C) 12 D) 10 Q5) Adil has