Singapore Math Kangaroo Contest 2017 Primary 5 Contest Paper Name School INSTRUCTIONS 1 Please DO NOT OPEN the contest booklet until the Proctor has given permission to start 2 TIME 1 hour and 30 minutes 3 There are 30 questions in this paper 3 points 4 points and 5 points will be awarded for each correct question in Section A Section B and Section C respectively No points are deducted for Unanswered question 1 point is deducted for Wrong answer 4 Shade your answers neatly in the answer entry sheet 5 PROCTORING No one may help any student in any way during the contest 6 No calculators are allowed 7 All students must fill and shade in your Name Index number Level and School in the Answer sheet provided 8 MINIMUM TIME Students must stay in the exam hall for at least 1 hour and 15 minutes 9 Students must show detailed working and transfer answers to the answer entry sheet 10 No spare papers can be used in writing this contest Enough space is provided for your working of each question 11 You must return this contest paper to the proctor Rough Working Singapore Math Kangaroo Contest 2017 Primary 5 Grade 5 Section A Correct 3 points Unanswered 0 points Wrong deduct 1 point Question 1 Four cards lie in a row as shown in the picture below Which card arrangement is impossible to obtain if you swap the position of 1 pair of cards 2017 2710 0127 1027 0217 2071 1 A 2017 2710 0127 1027 0217 2071 1 B 2017 2710 0127 1027 0217 2071 1 C 2017 2710 0127 1027 0217 2071 1 D 2017 2710 0127 1027 0217 2071 1 E 2017 2710 0127 1027 0217 2071 1 Question 2 A fl y has 6 legs and a spider has 8 legs The total number of legs that 3 fl ies and 2 spiders have is the same number of legs as 9 chickens and some cats How many cats are there A 2 cats B 3 cats C 4 cats D 5 cats E 6 cats Question 3 Alice has 4 pieces of this fi gure 1 Which shape below cannot be formed from the 4 pieces that Alice has A 1 B 1 C 1 D 1 E 1 Question 4 Kalle knows that 1111 1111 1234321 What is the product of 1111 2222 A 3456543 B 2345432 C 2234322 D 2468642 E 4321234 1 Singapore Math Kangaroo Contest 2017 Primary 5 Grade 5 Question 5 On a planet there are 10 islands and 12 bridges If all bridges are open what is the smallest number of bridges that must be closed in order to stop the traffi c between A and B A B 1 A 1 B 2 C 3 D 4 E 5 Question 6 3 Rhinos named Jane Kate and Lynn went for a walk Jane was infront of Kate and Lynn was behind Kate Jane weighs 500 kg more than Kate Kate weighs 1000 kg less than Lynn Which of the following pictures shows Jane Kate and Lynn in the right order A B C D E Question 7 A special dice has a number on each face The sums of the numbers on opposite faces are all equal Five of the numbers are 5 6 9 11 and 14 What is the number on the sixth face A 4 B 7 C 8 D 13 E 15 2 Singapore Math Kangaroo Contest 2017 Primary 5 Grade 5 Question 8 Martin wants to colour the squares of the rectangle so that 1 3 of all squares are blue and half of all squares are yellow The rest of the squares are to be coloured red How many squares will he colour red A 1 B 2 C 3 D 4 E 5 Question 9 While Peter solves 2 problems in the Kangaroo contest Nick manages to solve 3 problems The boys solved 30 problems in total How many more problems did Nick solve than Peter A 5 B 6 C 7 D 8 E 9 Question 10 Bob folded a piece of paper used a hole puncher and punched exactly one hole in the paper Bob unfolded the paper as shown in the picture below Which of the following shows the folded lines on the paper that Bob had intially started with A B C D E Section B Correct 4 points Unanswered 0 points Wrong deduct 1 point Question 11 The Modern Furniture store is selling sofas loveseats and chairs made from identical modular pieces as shown in the picture below Only 1 pair of armrests are on the sides of each furniture and all armrests have the same width The width of the sofa is 220 cm and the width of the loveseat is 160 cm What is the width of the chair sofaloveseatchair 220 cm160 cm 1 A 60 cm B 80 cm C 90 cm D 100 cm E 120 cm 3 Singapore Math Kangaroo Contest 2017 Primary 5 Grade 5 Question 12 5 diff erent keys fi t into the 5 diff erent padlocks in the picture below The numbers on the keys refer to the letters on the padlocks What is written on the last key ABDAHDHAB DADBHD 414 184 124 812 1 A 382 B 282 C 284 D 823 E 824 Question 13 Tom writes all the numbers from 1 to 20 in a row and obtains the 31 digit number 1234567891011121314151617181920 Then he deletes 24 of the 31 digits such that the remaining number is as large as possible Which number does he get A 9671819 B 9567892 C 9781920 D 9912345 E 9818192 Question 14 Morten wants to rebuild the construction below into a regular box Each piece of cube that form the construction below has a length of 1cm What is the smallest dimension of a box he can form A 3 3 4 B 3 5 5 C 3 4 5 D 4 4 4 E 4 4 5 Question 15 When we add the numbers in each row and along the columns we get the results as in the table below Which statement is true