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` Math Challenge Sunday, 07 May 2017 07/05/2017 1 Middle Section Classes : IV - VI 07/05/2017 2 Number System Geometry Metric Measures /Measurements Fractions, Decimals and Percentages 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 4 Mixed Bag : 6 x 4 = 24 Your Choice: 2 x 4 = 8 Multiple Choice: 2 x 4 = 8 Visual Round: 3 x 4 = 12 Rapid Fire Set A: 5 Rapid Fire Set B: 5 Rapid Fire Set C: 5 Additional Questions Rapid Fire Set D: 5 Rapid Fire Round 07/05/2017 3 •Mixed Bag Round •5 x 4 = 20 Questions •Mixed questions from different topics of Math •Each question carries 10 points and if passed to the next two groups 5 and 3 points respectively. •Time allowed 30 seconds, 15 seconds and 10 seconds. 07/05/2017 4 Mixed Bag Round Topic – Geometry 07/05/2017 5 Geometry Question: What is the name of a five sided polygon? Answer: A pentagon is a five sided polygon. 07/05/2017 6 Geometry- Triangle-Terminology What is the triangle called with no two sides equal ? Answer: Scalene triangle 07/05/2017 7 Geometry- Angles-Terminology What is the name given to the two angles the sum of which is 180 degrees? Answer: Supplementary angles 07/05/2017 8 Geometry- Angles-Terminology What is the name for an angle that measures 120 degrees? Answer: Obtuse angle 07/05/2017 9 Mixed Bag Round Topic – Algebra 07/05/2017 10 Algebra-Equations What is the value of N for the equation 4 + N = 18 ? Answer: 14 07/05/2017 11 Algebra-Equations What is the value of N for the equation N÷4=6? Answer: 24 07/05/2017 12 Algebra Question: What is the simplified form of : c ∙ c ∙ c ∙ d ∙(-2). d ∙ c ∙ d ? Answer: -2c4d3 07/05/2017 13 Algebra-Equations How many terms are there in a trinomial? Answer: 3 07/05/2017 14 Mixed Bag Round Topic – Number 07/05/2017 15 Number-Factors What is the greatest factor of 24 ? Answer: 24 07/05/2017 16 Number-Cube Numbers What is the cube of 7? Answer: 343 07/05/2017 17 Numbers-LCM What is the LCM of 2, 4 and 5? Answer: 20 07/05/2017 18 Number-Basic Operations How many eggs are in 15 dozen? Answer: 180 07/05/2017 19 Number-Indices What is 2 2 X 2 3 Answer: 36 07/05/2017 20 Number-Basic Operations What is 248 – 166 ? Answer: 82 07/05/2017 21 Number-Roman Numerals Express 2040 in Roman numerals. Answer: MMXL 07/05/2017 22 Number-Roman Numerals What does the Roman numeral DCLX represent in decimal system? Answer: 660 07/05/2017 23 Mixed Bag Round Topic – FDP 07/05/2017 24 FDP-Fractions What is the simplified form of 4 3 5 5 Answer: 07/05/2017 2 1 5 25 FDP-Fractions What is 2 of 15 3 Answer: 10 07/05/2017 26 FDP-Percentage What is 40 % of 60? Answer: 24 07/05/2017 27 FDP-Decimals What is 10 – 2.25 ? Answer: 7.75 07/05/2017 28 Mixed Bag Round Topic – Metric Measure 07/05/2017 29 Measurement-Time How many decades are there in a century? Answer: 10 07/05/2017 30 Measures-Time How many years are there in a century? Answer: 100 07/05/2017 31 Metric Measures How many grams are there in 2.5 kg? Answer: 2500 grams 07/05/2017 32 Metric Measures How many minutes are there in 2and half hours? Answer: 150 minutes 07/05/2017 33 •Your Choice Round •2 x 4 = 8 Questions •Questions from the topics of your choice among Number, Algebra and coordinates, Mensuration, Fractions-Decimals – Percentages, •No group will be allowed to choose more than one questions from the same category. •Each question carries 5 points. •Time allowed 30 Seconds for each question. Question will not be passed to the other groups. 07/05/2017 34 Your Choice Round Topic – FDP 07/05/2017 35 FDP-Fractions What is 25% of 16 Answer: 4 07/05/2017 36 FDP-Decimals What is 1.3 x 0.3? Answer: 0.39 07/05/2017 37 FDP-Fractions What is the lowest form of 18 ? 12 Answer: 07/05/2017 1 1 2 38 FDP-Fractions What is the common denominator for ? 5 7 and 6 9 Answer: 18 07/05/2017 39 Your Choice Round Topic – Number System 07/05/2017 40 Numbers What is the smallest number that can be formed with digits 2, 0, 5, 4? Answer: 2045 07/05/2017 41 Number-Integers What is the value of 3x6-4÷2? Answer: 16 07/05/2017 42 Number-Patterns What is the next number in the pattern 3, 9, 27, …? Answer: 81 07/05/2017 43 Number Which counting number is neither prime nor composite? Answer: 1 07/05/2017 44 Your Choice Round Topic – Measurements 07/05/2017 45 Measurement-Time What is the number of minutes in 1 day? Answer: 1440 07/05/2017 46 Metric Measures How many centimetres in 1.8 m? Answer: 180 07/05/2017 47 Metric Measures How many grams are there in 2.43 kilograms? 2430 grams 07/05/2017 48 Measurement-Time What will be the time 5 hours and 35 minutes after 11:45 AM ? Answer: 5:20 PM 07/05/2017 49 Your Choice Round Topic – Geometry 07/05/2017 50 Geometry- Triangle-Terminology What is the side opposite to the right angle in a right angled triangle called ? Answer: Hypotenuse 07/05/2017 51 Geometry- Triangle-Calculation What is the measure of the third angle of a triangle containing two angles 50 and 60 degrees ? Answer: 70 degrees 07/05/2017 52 Geometry-Triangles What is the name for a triangle with any 2 sides of equal length? Answer: Isosceles triangle 07/05/2017 53 Geometry-Polygons What is the name for a six-sided polygon? Answer: Hexagon 07/05/2017 54 Multiple Choice Round Topic – Miscellaneous 07/05/2017 55 FDP-Decimal Multiple Choice Which of the following is a true statement? a. 15.001< 14.999 b. 11.11619 = 11.11916 c. 0.6709< 0.6718 d. 9.679 < 9.6790 Answer: c. 0.6709< 0.6718 07/05/2017 56 Numbers-Operations Zack pays Rs 2 for each minute he talks to his friend Nicole on the cell phone. Zack calls Nicole at 5:43 p.m. and talks until 6:00 p.m. How much does the call cost? a. Rs 17 b. Rs 19 c. Rs 34 d. Rs 2 Answer: c. Rs 34 07/05/2017 57 Number -Comparison “Jena collected 337 aluminum cans. Bill collected fewer cans than Jena. Which of these number sentences show a comparison between the number of cans that Jena and Bill collected? • A. 299<337 • B. 338<337 • C. 337>401 • D. 337>339 ” Answer: A. 299<337 07/05/2017 58 Number -Comparison “A farmer places 12 eggs into each egg carton. If her chickens lay 80 eggs during one day, how many cartons will she fill completely? • A. 5 • B. 6 • C. 7 • D. 8 ” Answer: B.6 07/05/2017 59 Number The media center in the school has more than 1,679 books but less than 1,683 books. What number could be the number of books in the media center. A. B. C. D. 1,678 1,679 1,681 1,683 Answer: C. 1,681 07/05/2017 60 Number-Rounding off “If you were rounding to the nearest hundred, what number would not be rounded to 600? A. 556 B. 649 C. 610 D. 549 ” Answer: D. 549 07/05/2017 61 Geometry- Triangle-Terminology • There are 80 kids performing in the school play. Half of the students are given 2 tickets for their family to come to the performance. The other half is given 1 ticket each. How many tickets were given out? • A: 40 • B: 80 • C: 120 07/05/2017 62 Geometry- Triangle-Terminology • A clown came to the party with 50 red balloons, 50 blue balloons, and 75 white balloons. Half of the blue balloons popped and 10 of the white balloons flew away. How many did the clown have left to give away to the kids? • A: 100 • B: 120 • C: 140 07/05/2017 63 •Visual Round •3 x 4 = 12 Questions •Questions from the topics of math in visual form •Each question carries 10 points. •If answered incorrectly or not answered, question will be passed to the next group. •Time allowed 30 Seconds, 15 seconds and 10 seconds for each question. 07/05/2017 64 Bus Timetables in Kathmandu: Route 15 Gongabu Bus Park Kalanki Balkhu Satdobato Koteshwor Gaushala Maharajgunj 0825 0837 0843 0848 0854 0902 0914 0925 0937 0943 0948 0954 1002 1014 1025 2025 1037 And 2037 1043 Every 2043 1048 Hour 2048 1054 Until 2054 1102 2102 1114 2114 1. At what time, does the first bus arrive at Koteshwor? 2125 2137 2143 2148 2154 2202 2214 2225 2237 2243 2248 2254 2302 2314 Answers: 1. 0845 2. What is the latest time that you can get bus from 2. 2248 Satdobato to Koteshwor? 3. 25 3. How long is the journey for from Kalanki to minutes Gaushala? 4. What is the total duration of journey in a Route 07/05/2017 15 Bus? 4. 49 65 minutes Bar Charts 20 How many people used it on Monday? Frequency 16 On which day was the café busiest? 12 10 Sat How many people used it on Wednesday? 8 How many people used it on the first 3 days? 4 0 The bar chart shows the number of people using a café at lunchtime during one week. M T W T 07/05/2017 F S 7 25 S 66 Reindeer counting In this picture what is the sum of the number of legs and the number of tails? Answer: 40 + 10 = 50 07/05/2017 67 Reindeer counting In this picture how many legs, tails and noses do the reindeer have altogether? Answer: 48 + 12 + 12 = 72 07/05/2017 68 What fraction is shaded? 1 2 3 4 5 6 7 8 Answer: 1/ 07/05/2017 4 69 In the figure, which place is the coldest place? Answer: 07/05/2017 Moscow 70 •Rapid Fire Round •10 x 4 = 40 Questions •Mixed questions from different topics of Math •Each question carries 5 points. •Time allowed 2 minute and maximum number of questions for each group is 10 07/05/2017 71 Rapid Fire Round Group A 1. How many weeks are there in 35 days? 2. Like fractions have different denominators. True or false? 3. If A be the set of vowel alphabets, the cardinal number of A is 6. True or false? 4. Set of even numbers. What type of set is this: Finite or infinite? 5. In 3478, in what place the digit 4 is situated? 6. What is the smallest number of 3 digits? Answers: 07/05/2017 72 Rapid Fire Round Group B 1. Sum of 3 angles in a triangle is 190 degrees. True or false? 2. In like fractions, what are equal? 3. What is the LCM of 2 and 3? 4. Is 275 divisible by 3? Yes or no? 5. What is cube of 4? 6. How many centimetres are there in 3 feet? Answers: 07/05/2017 73 Rapid Fire Round Group C 1. 2. 3. 4. 5. 6. How many weeks are there in 35 days? In a fraction what is the top number called? The sum of two complementary angles is how many degrees? Set of even numbers. What type of set is this: Finite or infinite? In 3478, in what place the digit 4 is situated? What is a triangle called which has all the three sides equal? Answers: 07/05/2017 74 Rapid Fire Round Group D 1. 2. 3. 4. 5. 6. How many weeks are there in 35 days? What is 97 + 203? What is 2/5 equivalent to in percent? What is 0.2 x 100? What is the formula for area of a rectangle? Answers: 07/05/2017 75 07/05/2017 76 Additional Questions 07/05/2017 77 Integers Simplify: 10 ÷ 2 + 3 x 1 Answer: 8 07/05/2017 78 Number-Prime Factors How many factors of 24 are also prime numbers? Answer: 2 07/05/2017 79 Geometry-Triangles One of the angles in a right-angle triangle is 66°. What is the size of the other acute angle? Answer: 24 degrees 07/05/2017 80 Number-Prime Numbers How many prime numbers are there between 1 and 20? Answer: 8 07/05/2017 81 Mensuration-Perimeter What is the perimeter of a 4 x 5 rectangle ? Answer: 18 units 07/05/2017 82 FDP-Percentage What is 75% of Rs 7 Answer: Rs 5.25 07/05/2017 83 FDP-Percentage What is 75% of 36? Answer: 27 07/05/2017 84 Number-Basic Operations How many seconds are there in 1 hour? Answer: 60 x 60 = 3600 seconds 07/05/2017 85 FDP-Decimal-Fraction Express 0.4 in the lowest fraction Answer: 07/05/2017 2 5 86 Numbers-Integers What is the difference Between -3 and -5? Answer: -2 07/05/2017 87 How many faces does the above figure/object has? Answer: 5 07/05/2017 88 Geometry- Triangle-Terminology • There were 30 questions on a math test. Chaz got 80% of them correct. How many questions did he answer correctly? • F.) 24 G.) 18 H.) 15 J.) 6 K.) NG 07/05/2017 89 18 : 12 07/05/2017 Answer: 3:2 90