THE ASSOCIATION OF MATHEMATICS TEACHERS OF INDIA Screening Test - GAUSS Contest. NMTC at PRIMARY LEVEL - V & VI Standards Saturday, 1 September, 2018

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Note: THE ASSOCIATION OF MATHEMATICS TEACHERS OF INDIA Screening Test - GAUSS Contest NMTC at PRIMARY LEVEL - V & VI Standards Saturday, September, 208.

1 Note: THE ASSOCIATION OF MATHEMATICS TEACHERS OF INDIA Screening Test - GAUSS Contest NMTC at PRIMARY LEVEL - V & VI Standards Saturday, September, 208. Fill in the response sheet with your Name, Class and the institution through which you appear in the specified places. 2. Diagrams are only visual aids; they are NOT drawn to scale.. You are free to do rough work on separate sheets.. Duration of the test: 2 pm to pm -- 2 hours. PART A Note Only one of the choices A. B, C, D is correct for each question. Shade the alphabet of your choice in the response sheet. If you have any doubt in the method of answering ; seek the guidance of the supervisor. For each correct response you get mark. For each incorrect response you lose mark. 2. Observe the following sequence. What is the 0th term? 7,8,,0,0,,0,,,0,2,,0,,... (A) (B) A number is multiplied by 2 then by, then by, then by then by and finally by 7. The answer is. Then the number is (A) odd (B) even Square a cube (A) Let the number be x x 2 7 = x =. Samrud bought a t- shirt for Rs.20. His friend Shlok wanted by buy it. Samrud wants to have a % profit on that. The selling price is (in rupees) (A) 280 (B) C.P. = 2 ` Profit = % NMTC_STAGE-I _ SEPT-208_PRIMARY-208_PAGE #

S.P. = 20 + 20 0 20 + 2 selling price = 27 `. The value of + 2 + + 8 7 9 is (A) 0 (B) 0 0 0 (A) + 2 + + + 8 7 9 + 2 + + 7 + 8 9 ( ) + ( ) + ( ) + ( ) + ( ) 0.

2 S.P. = selling price = 27 `. The value of is (A) 0 (B) (A) ( ) + ( ) + ( ) + ( ) + ( ) 0. In the adjoining figure what portion of the figure is shaded? (A) 2 (B) 2. The sum of the numbers in the three brackets ( ) is () () 8 () (A) 0 (B) 0 (A) 2 = 20 (B) = 2 8 = = A 2 B C A + B + C 0 7. A is the smallest three digit number which leaves a remainder 2 when divided by 7. B is the smallest three digit number which leaves remainder 7. When divided by 2. Then A + B is (A) 20 (B) Smallest three digit number leaves a remainder 2 when divided by 7 is = A Smallest three digit number leaves a remainder 7 when divided by 2 is = B A + B = + = 207 NMTC_STAGE-I _ SEPT-208_PRIMARY-208_PAGE # 2

3 8. A square of side cm in cut into 9 equal squares. Another square of side cm is cut into equal squares. Saket made a bigger square using all the smaller square bits. The length of the side of the bigger square is (in cm) (A) 7 (B) 8 9 (squares) + (squares) = 2 (squares) Length of side of the bigger square = 2 = 9. A contractor constructed a big hall, rectangular in shape, with length 2 meters and breadth 8 meters. He wanted to buy meter by meter tiles. But in the shop meter by 2 meter tiles only were available. How many tiles he has to buy for tilting the floor? (A) 8 (B) (B) Number of tiles required = = 9. The fraction to be added to (A) x (B) 2 = 7 2 to get the fraction 2 2 x = x = 2 x = 7 2 x = 2 2 PART - B 7 is Note : Write the correct answer in the space provided in the response sheet For each correct response you get mark. For each incorrect response you lose marks.. In the adjoining figure BAD = DAF = FAC. GE is parallel to DF, and EGA = 90º. If ACE = 70º, the measure of FDE is. (Bonus) NMTC_STAGE-I _ SEPT-208_PRIMARY-208_PAGE #

4 2. ABC is a triangle in which the angles are in the ratio : :. PQR is a triangle in which the angles are in the ratio : : 7. The difference between the least angle of ABC and the least angle of PQR is aº. Then a = x + x + x = 80 2x = 80 x = Least angle of triangle ABC is = = x + x + 7x = 80 8x = 80 x = Least angle of triangle PQR = = 0 Difference a = 0 a =. Samrud had to multiply a number by. By mistake he multiplied by and got a result 720 more. The new product is. 220 Let the number be x incorrect product = x correct product = x x x = 720 8x = 720 x = 0 New product x 0 = 220. Vishva plays football every th day. He played on a Tuesday. He plays football on a Tuesday again in days. 28 Number of days in week = 7 days Vishva plays football in = days He will play football on a tuesday again in 7 = 28 days. In an elementary school 2% of the students are girls. If there are 20 less girls than boys, then the strength of the school is 00 Girls = 2% Boys = 0 2 = 7% Given 7% 2% = 20 8% = 20 % = 20 8 students 0% = = 00 students. There are three concentric circles as shown in the figure. The radii of them are 2 cm, cm and cm. The ratio of the area of the shaded region to the area of the dotted region is a b where a, b are integers and have no common factor other than. Then a + b = 8 NMTC_STAGE-I _ SEPT-208_PRIMARY-208_PAGE #

5 Areaof Shadedregion Areaof dottedregion () (2) () () = a b = a b 2 20 = a b = a b a + b = + = 8 = a b 7. The value of = is = 2 = 8. When a two digit number divides 2, the remainder is. The number of such two digit numbers is 2 = = 2 2 two digits such numbers will be = 2 = 2 2 = = 20 = 2 = 9. If A B = A B, the value of A B 2 2 # 8 # 8 # # # 8 # is 8 # # 2 NMTC_STAGE-I _ SEPT-208_PRIMARY-208_PAGE #

6 20. When water becomes ice, its volume increases by %. When ice melts into water its volume decreases by a%. Then a =. 9 Let the volume of water = x unit cube Volume of ice = x + x x unit cube 0 When ice melt to water its % decrease in volume = x 0 x a% 9 %. x x x 0 NMTC_STAGE-I _ SEPT-208_PRIMARY-208_PAGE #

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Screening Test Gauss Contest NMTC at PRIMARY LEVEL V & VI Standards Saturday, 27th August, 2016

THE ASSOCIATION OF MATHEMATICS TEACHERS OF INDIA Screening Test Gauss Contest NMTC at PRIMARY LEVEL V & VI Standards Saturday, 7th August, 06 :. Fill in the response sheet with your Name, Class and the