CLASA a VI-a. Read carefully each question and think about the answer before choosing your response.

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1 CLASA a VI-a 21 martie 2015 Here are some suggestions to help you do your best: Read carefully each question and think about the answer before choosing your response. RULES Part I has 4 multiple choice exercices. Part II must be solved into English Part III must be translated into English, and then solved in English as well. PART I. 1.A square of perimeter 48 cm is cut into 2 pieces to make a rectangle (see the picture). What is the perimeter of the rectangle? A 24 cm B 30 cm C 48 cm D 60 cm E 72 cm 2. It takes Ben 30 minutes to cut a long log of wood into six pieces. How long does it take him to cut another log of wood into nine pieces? A 40 B 44 C 45 D 48 E Harry and Hermione started walking from the same point. Harry went 1 km north, 2 km west, 4 km south and finally 1 km west. Hermione went 1 km east, 4 km south and 4 km west. Which of the following must be the final part of Hermione s walk so that he could reach the same point as Harry? A He has already reached the same point. B 1 km north C 1 km north-west. D More than 1 km north-west. E 1 km west MATHEMATICS ENGLISH TESTING SYSTEM Şcoala Gimnazială Mircea Eliade Craiova

2 5. 21 martie A square can be formed using four of these five pieces. Which one will not be used? A B C D E A B C D E PART II. Find the natural numbers a,b,c, with a<b, that satisfy the equality : 2 2 a a b b c c 1 (GM 1/2014) PART III. Fie segmentul (AB) și C (AB). În același semiplan determinat de drapta AB se construiesc triunghiurile ACD și BCE cu (AC) (CD), (BC) (CE) și DCA ECB. AE BD={F}. Se construiește CG AE și CH BD, G (AE), H(BD). Arătați că a) (CG) (CH) b) (FC este bisectoarea unghiului. AFB (GM 3/2013) MATHEMATICS ENGLISH TESTING SYSTEM Şcoala Gimnazială Mircea Eliade Craiova

3 CLASA a IV-a 21 martie 2015 Here are some suggestions to help you do your best: Read carefully each question and think about the answer before choosing your response. RULES Part I has 4 multiple choice exercices. Part II must be solved into English Part III must be translated into English, and then solved in English as well. PART I. 1. Mr. Brown has painted flowers on the store window (see the picture). What do these flowers look like from the other side of the window? 2. The number of people who live in Craiova is two hundred sixty nine thousand five hundred six. What is another way to write the same number? A B C D E Rabbit Riley likes cabbage and carrots very much. Each day, he eats either 9 carrots, or 2 heads of cabbage, or 1 head of cabbage and 4 carrots. Last week, Riley ate 30 carrots. How many heads of cabbage did he eat last week? A 6 B 7 C 8 D 9 E 10 MATHEMATICS ENGLISH TESTING SYSTEM Şcoala Gimnazială Mircea Eliade Craiova

4 21 martie Grandpa bought toys and gave the shop-assistant 150 dollars. He received 20 dollars back. Then he changed his mind and exchanged one of the toys for another. He got back an additional 5 dollars. What toys did Grandpa leave the store with? (There are some price tags in the picture below) A B C D E the truck and the plane the truck and the bus the truck and the train the motorcycle and the train the bus, the motorcycle and the train PART II. The pages of a book are numbered consecutively, beginning with 1. The digit 7 is printed 25 times in numbering pages. What is the largest numer of pages the book can have? PART III. Albă ca Zăpada le-a pregătit celor 7 pitici un număr de prăjituri. Pe măsură ce se trezește fiecare pitic mănâncă jumătate din numărul prăjiturilor găsite plus una. Piticul cel mai mic, fiind și cel mai somnoros, s-a trezit ultimul și a mai găsit o singură prăjitură. Știind că piticii s-au trezit la ore diferite, aflați câte prăjituri a pregătit Albă ca Zăpada. MATHEMATICS ENGLISH TESTING SYSTEM Şcoala Gimnazială Mircea Eliade Craiova

5 CLASA a V-a 21 martie 2015 Here are some suggestions to help you do your best: Read carefully each question and think about the answer before choosing your response. RULES Part I has 4 multiple choice exercices. Part II must be solved into English Part III must be translated into English, and then solved in English as well. PART I. 1. A cake weighs 900g. Paul cuts it into 4 pieces. The weight of the largest piece is the same as the total weight of the other three pieces. What is the weight of the largest piece? A B C D E 250 g 300 g 450 g 350 g 600 g 2. Two big rings - one grey, one white - are linked to each other. Peter, in front of the rings, sees the rings as in the picture Paul is behind the rings. What does he see? 3. What is the difference between the smallest 5-digit number and the largest 4-digit number? A 1 B 10 C 1111 D 9000 E 9900 MATHEMATICS ENGLISH TESTING SYSTEM Şcoala Gimnazială Mircea Eliade Craiova

6 21 martie Harry participated in a broom flight contest which consisted of five laps. The times when Harry passed the starting point are shown in the table. Which lap took the shortest time? A B C D E the first the second the third the fourth the fifth PART II. The product of the digits that form a number x, is y. Find out the number x if we know that x+y=88. PART III. Doi vânzători de vinuri trebuie să plătească o taxă pentru a putea vinde vinul. Primul are 64 de butoaie de vin și trebuie să plătească 5 butoaie de vin și 40 de monede de aur, iar al doilea are 20 de butoaie in același fel de vin și plătește 2 butoaie de vin și primește înapoi 40 de monede de aur. Cât costă un butoi de vin și care este taxa pentru un butoi de vin? MATHEMATICS ENGLISH TESTING SYSTEM Şcoala Gimnazială Mircea Eliade Craiova

7 CLASA a VII-a 21 martie 2015 Here are some suggestions to help you do your best: Read carefully each question and think about the answer before choosing your response. RULES Part I has 4 multiple choice exercices. Part II must be solved into English Part III must be translated into English, and then solved in English as well. PART I. 1. Sophia had several square pieces of paper, each piece of an area of 4. She cut them into squares and right-angled triangles in the manner shown in the first diagram. She then took some of the pieces and made the bird shown in the second diagram. What is the area of the bird? A 3 B 4 C 9/2 D 5 E 6 2. A bucket was half full. A cleaner added 2 litres to the bucket. The bucket was then three-quarters full. What is the capacity of the bucket? A 10 litres B 8 litres C 6 litres D 4 litres E 2 litres 3. Liz and Mary competed in solving problems. Each of them received the same list of 100 problems. For any problem, the girl who solved the problem first got 4 points, whereas the girl who solved the problem second got 1 point. Liz solved 60 problems and Mary also solved 60 problems. Together, they got 312 points. How many problems were solved by both of them? A 56 B 57 C 58 D 59 E 60 MATHEMATICS ENGLISH TESTING SYSTEM Şcoala Gimnazială Mircea Eliade Craiova

8 21 martie Harry rode his broom from Hogwarts Castle to Ron s home. He was going to arrive at 3:00 pm, but he spent 2/3 of the planned time covering 3/4 of the distance. After that, he rode more slowly and arrived exactly as expected. What is the ratio of the speed for the first part of the journey to the speed for the second part? A 5/4 B 4/3 C 3/2 D 2/1 E 3/1 PART II. John bakes 90 pizzas. Each pizza is cut either into 8 small slices or 6 large slices. For every 3 large slices, there are 5 small slices (in terms of ratio, not surface). How many of the 90 pizzas are cut into small slices? PART III. Fie ABCD un pătrat și M un punct situat în interiorul său astfel încât MA=1 cm, MB= MC= 5 cm. Aflați 2 cm, iar a) latura pătratului b)lungimea segmentului MD. MATHEMATICS ENGLISH TESTING SYSTEM Şcoala Gimnazială Mircea Eliade Craiova

9 CLASA a VIII-a 21 martie 2015 Here are some suggestions to help you do your best: Read carefully each question and think about the answer before choosing your response. RULES Part I has 4 multiple choice exercices. Part II must be solved into English Part III must be translated into English, and then solved in English as well. PART I. 1. Captain Sparrow and his pirate crew dug up several gold coins. They are dividing the coins amongst themselves so that each person gets the same number of coins. If there were four fewer pirates, then each person would get 10 more coins. However, if there were 50 fewer coins, then each person would get 5 fewer coins. How many coins did they dig up? A B C D E 80 coins 100 coins 120 coins 150 coins 250 coins 2. On a pond there are 16 water lily leaves in a 4 by 4 pattern as shown. A frog sits on a leaf in one of the corners. It then jumps from one leaf to another either horizontally or vertically. The frog always jumps over at least one leaf and never lands on the same leaf twice. What is the greatest number of leaves (including the one it sits on) that the frog can reach? A 16 B 15 C 14 D 13 E If you take a number of 1 X 1 X 1 cubes out of a 5 X 5 X 5 cube, you end up with a solid figure consisting of columns of the same height, which stand on the same ground plate (see figure). How many small cubes have been taken out? MATHEMATICS ENGLISH TESTING SYSTEM Şcoala Gimnazială Mircea Eliade Craiova

10 A 56 B 60 C 64 D 68 E martie The label on a package of cream cheese reads: 24% total fat. The same label also reads: 64% fat in dry matter. What is the percentage of water in this cheese? A 88% B 62.5% C 49% D 42% E 37.5% PART II. Lets s consider the cube ABCDA B C D. If M is the middle point of (CC ), calculate the measure of the diedre angle between (AB M) and (A MC ) plans. (GM 2/2014) PART III. Fie n 2 un număr natural. Arătați că numărul n 4 +n 2 +3 nu poate fi scris ca suma a două numere prime. (GM 4/2012) MATHEMATICS ENGLISH TESTING SYSTEM Şcoala Gimnazială Mircea Eliade Craiova

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