Kangaroo Mathematics Competition 2019 (Grades 3 & 4) - Past Paper PDF

3 point problems ‫ نقاط لكل سؤال‬3 The higher the step on the podium, the higher the rank of the runner. Who finished third? A B C D E 3 point problems ‫ نقاط لكل سؤال‬3 5 1...

3 point problems ‫ نقاط لكل سؤال‬3 The higher the step on the podium, the higher the rank of the runner. Who finished third? A B C D E 3 point problems ‫ نقاط لكل سؤال‬3 5 1  8  12 In the pictures, each dot stands for 1 and each bar stands for 5. For example,  stands for 8. Which picture stands for 12?       3 point problems ‫ نقاط لكل سؤال‬3 Yesterday was Sunday. What day is tomorrow? ‫الثالثاء‬ ‫الخميس‬ ‫األربعاء‬ ‫االثنين‬ ‫السبت‬ Tuesday Thursday Wednesd Monday Saturday ay 3 point problems ‫ نقاط لكل سؤال‬3 There are two holes in the cover of a book. When the book is open, it looks like this: Which pictures do you see through the holes when you close the book? 3 point problems ‫ نقاط لكل سؤال‬3 Karina cuts out one piece like this from the sheet. Which piece can she get? 3 point problems ‫ نقاط لكل سؤال‬3 Three people walked across a field of snow wearing muddy shoes. In which order did they do this? 3 point problems ‫ نقاط لكل سؤال‬3 Pia makes shapes with the connected sticks shown in the picture. Which of the following shapes needs more sticks than Pia has? 3 point problems ‫ نقاط لكل سؤال‬3 What number should replace the question mark when all the calculations are completed correctly? 4 5 6 7 8 4 point problems ‫ نقاط لكل سؤال‬4 3 8 7 Linda pinned up 3 photos in a row on a cork board using 8 pins. Linda wants to pin up 7 photos in the same way. How many pins does she need? 14 16 18 22 26 4 point problems ‫ نقاط لكل سؤال‬4 Dennis wants to remove one cell from the shape: How many of the following shapes can he get? 1 2 3 4 5 4 point problems ‫ نقاط لكل سؤال‬4 6 Six strips are woven into a pattern as shown. What does the pattern look like from the back? 4 point problems ‫ نقاط لكل سؤال‬4 The weight of dog toy is a whole number. How much does one dog toy weigh? If the weight of the dogs is identical 7 8 9 10 11 4 point problems ‫ نقاط لكل سؤال‬4 3 16 5 Sara has 16 blue marbles. She can trade marbles in two ways: 3 blue marbles for 1 red marble or 2 red marbles for 5 green marbles. What is the maximum number of green marbles she can get? 5 10 13 15 20  4 point problems ‫ نقاط لكل سؤال‬4 9 2 1 0 Steven wants to write each of the digits 2, 0, 1 and 9 in one of the boxes of the sum. He wants to get the largest possible answer. Which digit could he write instead of the question mark? 1 ‫ أو‬0 ‫إما‬ 2 ‫ أو‬0 ‫إما‬ ‫ فقط‬0 ‫ فقط‬1 ‫ فقط‬2 Either 0 or 1 Either 𝟎 or 𝟐 Only 𝟎 Only 𝟏 Only 𝟐  4 point problems ‫ نقاط لكل سؤال‬4 100 400 A full glass of water weighs 400 grams. An empty glass weighs 100 grams. How many grams does a half-full glass of water weigh? 150 200 225 250 300 4 point problems ‫ نقاط لكل سؤال‬4 ‫ جنيهات‬5 ‫ثمننا معًا‬ ‫ جنيهات‬10 ‫ثمننا معًا‬ Together We cost ‫ جنيهات‬7 ‫ثمننا م ًعا‬ Together We 5 cents Together We cost cost 10 cents 7 cents ‫كم يكون ثمننا معًا ؟‬ How much do we cost Together ‫ جنيهات‬8 ‫ جنيهات‬9 ‫ جنيهات‬10 ‫ جنيها‬11 ‫ جنيها‬12 8 cents 9 cents 10 cents 11 cents 12 cents  5 point problems ‫ نقاط لكل سؤال‬5 ` Each shape stands for a different number. The sum of the three numbers in each row is shown to the right of the row. Which number does the “ “ stand for? 2 3 4 5 6  5 point problems ‫ نقاط لكل سؤال‬5 32 7 7 10 10 Anna used 32 small red squares to frame a 7 by 7 picture. How many of these small red squares does she need to frame a 10 by 10 picture? 36 40 44 48 52  5 point problems ‫ نقاط لكل سؤال‬5 3 2 1 16 5 The pages of a book are numbered 1, 2, 3, 4, 5 and so on. The digit 5 appears exactly 16 times. What is the maximum number of pages this book could have? 49 64 66 74 80  5 point problems ‫ نقاط لكل سؤال‬5 A hallway has the dimensions shown in the picture. A cat walks on the dashed line along the middle of the hallway. How many meters does the cat walk? 63 68 69 71 83  5 point problems ‫ نقاط لكل سؤال‬5 15 8 10 In a pet shop there are 15 animals: cats, rabbits, and birds. We know that precisely 10 are not cats and precisely 8 are not rabbits. How many birds are in the pet shop? 2 3 4 8 10  5 point problems ‫ نقاط لكل سؤال‬5 3 3 3 9 4 Mary has 9 small triangles: 3 of them are red (R), 3 are yellow (Y) and 3 are blue (B). She wants to form a big triangle by putting together these 9 small triangles so that any two triangles with an edge in common are different colors. Mary places some small triangles as shown in the picture. Which of the following statements is true after she has finished? ‫ أحمر‬3 ‫ أصفر و‬1 ‫ أحمر‬2 ‫ أزرق و‬1 ‫ أصفر‬2 ‫ أحمر و‬5 ‫ أصفر‬3 ‫ و‬1 ‫ أحمر‬3 ‫و‬1 1 is yellow and 3 1 is blue and 2 is 5 is red and 2 is 1 and 3 are 1 and 3 are red is red red yellow yellow  5 point problems ‫ نقاط لكل سؤال‬5 One of five children Alek, Bartek, Czarek, Darek and Edek has eaten a cookie. Alek says: "I haven't eaten a cookie." Bartek says: "I have eaten a cookie." Czarek says: "Edek hasn't eaten a cookie." Darek says: "I haven't eaten a cookie." Edek says: "Alek has eaten a cookie. Only one child lies. Who has eaten the cookie? ‫علي‬ ‫بهاء‬ ‫شريف‬ ‫محمد‬ ‫وليد‬ Alek Bartek Czarek Darek Edek  5 point problems ‫ درجات‬5‫مسائل الـ‬ 1 2 Emil started to hang up towels using two pegs for each towel as shown in figure 1. He realised that he would have not enough pegs and began to hang up the towels as shown in figure 2 1 ‫الشكل‬ 2 ‫الشكل‬ 58 35 1 Overall, he hung up 35 towels and used 58 pegs. How many towels did Emil hang up in the way shown in figure 1? 12 13 21 22 23