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` Math Challenge Wednesday, 24 May 2017 24/05/2017 1 Secondary Section Classes –VII-IX 24/05/2017 2 Number System Algebra and coordinates Geometry Mensuration Fractions, Decimals and Percentages 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 Mixed Bag : 10 x 4 = 40 Target Number: 1 x 4 = 4 Your Choice: 2 x 4 = 8 Visual Round: 2 x 4 = 8 Rapid Fire Set A: 10 Rapid Fire Set C: 10 Rapid Fire Round Rapid Fire Set B: 10 Rapid Fire Set D: 10 Multiple Choice: 2 x 4 = 8 24/05/2017 3 •Mixed Bag Round •10 x 4 = 40 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. 24/05/2017 4 Mixed Bag Round Topic - Integers 24/05/2017 5 Numbers-Integers What is -22 – 47 ? Answer:-69 24/05/2017 6 Numbers-Integers 465 ÷ -15 is equal to Answer: -31 24/05/2017 7 Numbers-Integers Which integer is called the additive identity? Answer: 0 Zero 24/05/2017 8 Numbers-Integers What should be added to -50 in order to make 150 ? Answer: 200 24/05/2017 9 Mixed Bag Round Topic - Algebra 24/05/2017 10 Algebra-Equation If 14 n = 70, what is the value of 2n? Answer: 10 24/05/2017 11 Algebra-Equation What is the value of n if 7 91 9 N Answer: 117 24/05/2017 12 Algebra-Expressions If A = -2 and B = 17, what is the value of -3AB ? Answer: 102 24/05/2017 13 Algebra-Equation If the sum of two numbers is 24 and one number is double of the other, what is the bigger number? Answer: 16 24/05/2017 14 Mixed Bag Round Topic - Geometry 24/05/2017 15 Geometry Question: What is a Quadrilateral called that has two parallel bases ? Answer: A trapezoid or a trapezium. 24/05/2017 16 Geometry Question: What is the greatest number of obtuse angles that a quadrilateral can have? Answer: A quadrilateral can have no more than two obtuse angles. 24/05/2017 17 Geometry Question: Which type of quadrilateral is an equiangular quadrilateral, but is not an equilateral quadrilateral? Answer: A rectangle is equiangular, but not equilateral. 24/05/2017 18 Geometry How many vertices does a cube have? Answer: 8 24/05/2017 19 Mixed Bag Round Topic - Mensuration 24/05/2017 20 Mensuration-Perimeter Question: The area of a square is 36 square inches. What is perimeter of the square. Answer: The perimeter of the square is 4 times 6 or 24 inches. 24/05/2017 21 Mensuration-Area Question: How many 2” by 2” squares will fit into a rectangle that measures 4” by 12” ? Answer: 12 squares will fit into the rectangle. 24/05/2017 22 Mensuration-Volume Question: What is the formula for the volume of a cylindrical object ? Answer: πr2h 24/05/2017 23 Mensuration-Volume Question: How many cm3 are there in 1m3? Answer: 1000000 cm3 or 1 million cm3 24/05/2017 24 Mixed Bag Round Topic - FDP 24/05/2017 25 FDP-Percentage What is the simplified form of the fractional equivalence of 75% ? Answer: 3/4 24/05/2017 26 FDP-Fractions What is the value of 1 4 2 2 Answer: 24/05/2017 1 2 4 27 FDP-Decimals What is 7.5 ÷ 1.5 Answer: 5 24/05/2017 28 FDP-Percentage What is 20% of 20% of 100 ? Answer: 4 24/05/2017 29 Mixed Bag Round Topic – Metric Measures 24/05/2017 30 Metric Measures What is the number of millimeters in a kilometer ? Answer: 1 million 24/05/2017 31 Measurement-Time How many seconds are there in two hour? Answer: 7200 24/05/2017 32 Metric Measures What is the number of inches in 5 feet ? Answer: 60 24/05/2017 33 Metric Measures How many grams are there in 2.35 kilograms? Answer: 2350 24/05/2017 34 Mixed Bag Round Topic – Statistics 24/05/2017 35 Data Handling One of the classes in a frequency distribution is 30 40. What is the class size of the frequency distribution? Answer: 40 – 30 =10 24/05/2017 36 Data Handling In the pie chart what is the angular value for 25 percent of the data? Answer: 90 degrees 24/05/2017 37 Data Handling What is the difference between the largest and smallest values in a list of numbers called? Answer: Range 24/05/2017 38 Data Handling What is the term called that defines the a number or numbers appearing most often in a list of data? Answer: Mode 24/05/2017 39 Mixed Bag Round Topic – Whole Number 24/05/2017 40 Number Which of these numbers is the odd one? 16, 20, 24, 22, 8, 4 Answer: 22 24/05/2017 41 Number A man has notes of Rs10 numbered from 100 to 150. What is the total value of the notes he has? Answer: Rs 510 24/05/2017 42 Number-Operations What is the quotient when 3216 is divided by 12 ? Answer: 268 24/05/2017 43 Number-Pattern What will be the next term of the following pattern ? 1, 3, 6, 10, 15, __ Answer: 21 24/05/2017 44 Mixed Bag Round Topic – Terminology 24/05/2017 45 Number-Ratio and Proportion In a ratio a:b, what is the first term a called? Answer: Antecedent 24/05/2017 46 Geometry-Lines What are intersecting lines that form right angles at their intersection called? Answer: Perpendicular lines 24/05/2017 47 Geometry- Triangle-Terminology What is the perpendicular drawn from a vertex to the opposite side of a triangle called ? Answer: Altitude or height of the triangle 24/05/2017 48 What is an angle formed by extending one side of a triangle called? Answer: An exterior angle 24/05/2017 49 Mixed Bag Round Topic – Miscellaneous 24/05/2017 50 Mensuration-Circle What is the area of a circle with radius equal to 10? Give the answer in decimal or whole number Answer: 314 24/05/2017 51 Mensuration-Perimeter What is the perimeter of a 12 x 8 rectangle? Answer: 40 24/05/2017 52 What is the total time Alan walked, if he started at 7:43 am and stopped at 9:15 am ? Answer: 1 hour 32 minutes or 92 minutes. 24/05/2017 53 There are 6 boys in a class of 15 students. What is the ratio of boys to girls? Answer: 2:3 24/05/2017 54 •Your Choice Round •2 x 4 = 8 Questions •Questions from the topics of your choice among Number, Algebra and coordinates, Mensuration, Fractions-Decimals – Percentages and Geometry •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. 24/05/2017 55 Your Choice Round Topic – Number 24/05/2017 56 Number-Roots What is the product of the th 4 root and the square root of 16? Answer: 2 x 4 = 8 24/05/2017 57 Number-Cubes How many perfect cube numbers are there between 0 and 1000 ? Answer: 9 24/05/2017 58 Numbers-Factors How many prime factors does 12 have? Answer: 2 24/05/2017 59 Number-Indices What is 3 5 x 3 2? Answer: 1000 24/05/2017 60 Your Choice Round Topic – Algebra and Coordinates 24/05/2017 61 Coordinate Geometry On a XY-coordinate plane, where does the point (-2, 3) lie? Answer: Second quadrant 24/05/2017 62 What is the slope of the line through the points (–5, 9) and (3, 14)? Answer: 5/8 24/05/2017 63 Question: What is the correct expanded form of (4x + 5)(2x - 3) ? Answer: 24/05/2017 2 8x - 2x - 15 64 Question: If a = -2, what is the value of -3 (-a) ? Answer: 1/8 24/05/2017 65 Your Choice Round Topic – Geometry 24/05/2017 66 Geometry Question: What is a polygon called that has all congruent sides and congruent angles ? Answer : A regular polygon 24/05/2017 67 Geometry Question: Name all the quadrilaterals that have four congruent sides. Answer: A square and a rhombus 24/05/2017 68 Geometry Question: What is the sum of all the angles in a pentagon? Answer: 540 degrees 24/05/2017 69 Geometry-Circle How many degrees are there in 5/6 a circle? Answer: 300 degrees 24/05/2017 70 Your Choice Round Topic – Mensuration 24/05/2017 71 Mensuration-Volume Question: What is the total surface area of a lidless cubical box that measures 6 centimeters on a side. Answer: The Total surface area of the cube is 5 x 6 x 6 = 180 square centimeters. 24/05/2017 72 Mensuration-Perimeter Question: What is the perimeter of a regular decagon that has a side that measures 8 centimeters? Answer: A regular decagon has ten congruent sides. Its perimeter would be 80 centimeters. 24/05/2017 73 Mensuration-Perimeter and Area Question: A square has area 64 cm2. What will be its perimeter? Answer: 32 cm 24/05/2017 74 Mensuration-Perimeter Question: If the length of a rectangle measures twice the width, and the perimeter is 72 feet, find the length of the rectangle. Answer: The length of the rectangle is 24 feet and the width is 12 feet. (Check: 24 + 12 + 24 + 12 = 72) 24/05/2017 75 Your Choice Round Topic – FDP 24/05/2017 76 FDP-Fractions What is the reduced or the simplest form of 68 85 Answer: 24/05/2017 4 5 77 FDP-Decimals What is the answer for 87.4 - 49.57 Answer: 37.83 24/05/2017 78 FDP-Percentage What is 1/8 written as a percent? A: 12.5% B: 8% C: .8% D: 25% Answer: A. 12.5% 24/05/2017 79 FDP-Fraction What is 3 4 of 28.4 ? Answer: 21.3 24/05/2017 80 •Visual Round Round •1 x 4 = 4 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. 24/05/2017 81 Geometry- Triangle-Terminology What is the area of the following figure? Answer:120 cm2 24/05/2017 82 How many triangles are there in the figure altogether Answer:12 24/05/2017 83 How many edges/sides does the following diagram have? H G E F 4cm D A Answer: 12 24/05/2017 C 5cm B 8cm 84 How many faces does the following square based pyramid has? 24/05/2017 Answer: 5 Faces 85 Quadrilateral How many different types of polygons are there in the above arch? 24/05/2017 Triangle Pentagon Hexagon Quadrilateral Pentagon Pentagon Heptagon Answer: 5 86 Target Number Round •4 Questions •Questions based on numerical calculation by combining the given digits in any way and using +,-, x and ÷ signs. •Each question is open to all the groups. •Each question carries 10 points. •Time allowed is 1 minute for each question. After 1 minute, each team has to stop calculating. •After 1 minute, each group will be allowed to express their answer and the process they used. •Whichever team gets the number closest to the target number will get 10 points. If more than one team gets the same number, they all will get 10 points. 24/05/2017 87 Target Number Question 1 •Given Digits: 1, 3, 5, 7, 9, 0 •You have to use all the digits •Mathematical Operators allowed to use: +,-, x, ÷ •Target Number: 300 24/05/2017 88 Target Number Question 2 •Given Digits: 2, 4, 6, 8, 0 •Mathematical Operators allowed to use: +,-, x, ÷ •Target Number: 400 24/05/2017 89 Target Number Question 3 •Given Digits: 3, 4, 5, 6, 7,8 •Mathematical Operators allowed to use: +,-, x, ÷ •Target Number: 100 24/05/2017 90 Target Number Question 4 •Given Digits: 9, 8, 7, 6, 5, 4 •Mathematical Operators allowed to use: +,-, x, ÷ •Target Number: 1000 24/05/2017 91 •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 24/05/2017 92 Rapid Fire Round Group A 1. Spell Isosceles 2. 88 is a multiple of 22. True or false? 3. All the whole numbers are also natural numbers. True or false? 4. What is the formula for curved surface area of a cylinder? 5. How many sides does a heptagon have? 6. How many complete weeks are there in 80 days? 7. What is the full form of LCM? 8. How many pens are there in 7 dozens? 9. What is the formula for a2 – b2 in factors form? 10. Which one more: 2/5 or 40%? 24/05/2017 93 Rapid Fire Round Group A: Answers 1. Isosceles 2. True 3. False? 4. 2πrh 5. 7 6. 11 7. Lowest Common Multiple 8. 84 9. (a-b)(a+b) 10. Which one more: none 24/05/2017 94 Rapid Fire Round Group B 1. 2. 3. 4. 5. Spell Pythagoras Which one weighs more 1 kg of metal or 1 kg of feathers? What is the formula for area of a circle? How many socks are there in 18 pairs? What is the measure of each acute angle of an isosceles right angled triangle? 6. How many prime numbers are there between 1 and 10? 7. What is the full form of QED? 8. What is two thirds of 15? 9. A rectangle has 5 right angles. True or false? 10. What is the next number in the pattern 3, 9, 27, ... ? 24/05/2017 95 Rapid Fire Round Group B: Answers 1. Pythagoras 2. None of them, both are equal. 3. πr2 4. 36 5. 45 degrees 6. 4 7. Quad Erata Demonstrandum 8. 10 9. False 10. 81 24/05/2017 96 Rapid Fire Round Group C 1. 2. 3. 4. 5. 6. Spell consequent. What is the only even prime number? All the integers are also rational numbers. True of false? Which one is longer? 2 years or 700 days? If a = 3 and b = 5, what is the value of (a + b)2 If now the time is 11:45AM, what time was 3 hours 20 minutes ago? 7. In statistical term, what is the most repeated item/term called? 8. What is 50 percent of 45? 9. How many composite numbers are there between 1 and 10? 10. What is the full form of HCF? 24/05/2017 97 Rapid Fire Round Group C: Answers 1. Consequent 2. 2 3. Yes 4. 2 Years 5. 64 6. 8:25 A.M. 7. Mode 8. 22.5 9. 4 10. Highest Common Factor 24/05/2017 98 Rapid Fire Round Group D 1. Spell Hypotenuse 2. 15 is a multiple of 6. True or false? 3. What is the full form of CF in statistics? 4. Give the formula for a3 + b3 in factors form. 5. What is 1000 divided by 8? 6. What is ¾ + ¾ in terms of mixed fraction? 7. What is the polygon with 7 sides? 8. How many hours are there in 4 days? 9. What geometrical shape is the base of a cylindrical object? 10. Which one is bigger: - 3 or - 4 24/05/2017 99 Rapid Fire Round Group D: Answers 1. Hypotenuse 2. False 3. Cumulative Frequency 4. (a+b)(a2 – ab +b2) 5. 125 6. 1 1/2 7. Heptagon 8. 144 9. Circle 10. -3 24/05/2017 100 24/05/2017 101 Additional Questions 24/05/2017 102 Geometry Question: Which type of quadrilateral is equilateral but not equiangular? Answer: A rhombus has all sides congruent, but its angles are not. 24/05/2017 103 Mensuration-Perimeter Question: The area of a small square is 49 square meters. A larger square has sides that are twice as long. What is the measure of one side of the larger square? Answer: (The sides of the smaller square measure 7 meters.) The sides of the larger square must measure 14 meters! 24/05/2017 104 Mensuration-Perimeter Question: The base of an isosceles triangle measures 6 inches. If the measure of each of the congruent sides is twice the measure of the base, find the perimeter of the triangle. Answer: The perimeter of the triangle is 6 + 12 + 12 24/05/2017 or 30 inches. 105 Mensuration-Perimeter What is the perimeter of a 10 x 12 rectangle? Answer: 44 24/05/2017 106 Geometry- Terminology What are the points called which are all in a straight line? Answer: Collinear points 24/05/2017 107 Geometry-Terminology What is the segment called that joins the midpoints of the legs of a trapezium? Answer: Median of the trapezium 24/05/2017 108 Number-Cube Numbers What is the cube of 7? Answer: 343 24/05/2017 109 Number-Prime Factors How many factors of 24 are also prime numbers? Answer: 2 24/05/2017 110 Geometry-Circle How many degrees are there in 5/6 a circle? Answer: 300 degrees 24/05/2017 111 What is the next number in the sequence below? 4, 28, 196, 1372, _____ Answer: 9604 24/05/2017 112 Number-Standard Form Express 15,000 in standard form: Answer: 24/05/2017 1.5 x10 4 113 Polygon Arch 2 Triangle Quadrilate ral Hexagon Hexagon Pentagon Pentagon Triangle Heptagon 24/05/2017 114 Choose the correct value for the surd given at the centre. 24/05/2017 115 Quadrilateral Parallelogram Rectangle Rhombus Square Trapezoid 24/05/2017 Please see carefully and understand the116 • In the last figure, different types of quadrilaterals are organised in a diagram. The square is placed within the rectangle and the rhombus. What does it mean or why the square is placed there? • Answer: It means the square is common between the rectangle and rhombus. In other words, square is also a rectangle and the square is also a rhombus. 24/05/2017 117 Blaisé Pascal (16231662) 1707 - 1783 24/05/2017 118 24/05/2017 119 Geometry- Triangle-Terminology • The letters of the words AMERICAN PIES are placed in a bag. What is the probability that you will draw an E or an I if you chose one letter from the bag? • A.) ¼ B.) 1/3 C.) 1/8 D.) 5/12 E.) NG 24/05/2017 120 Geometry- Triangle-Terminology A car company sold 150 cars in a special 6-day tent sale offer. Each day the company sold 6 more cars than the day before. How many cars were sold on the 6th day? 24/05/2017 121 Geometry- Triangle-Terminology Chicken Tikka { Serves 5 } 800 g chicken 180 ml yoghurt 6 teaspoons lime juice 2 ½ cm root ginger Based on the above recipe, what is the quantity of chicken required for the Chicken Tikka to serve 4 people? Answer: 640 grams 24/05/2017 122 Geometry- Triangle-Terminology • The Soccer Shop is having a sale. Everything is 20% off. Shannon bought a pair of goalie gloves and some shin guards. The original prices were $30 for the gloves and $15 for the shin guards. How much did Shannon save all together? • A.) $9.00 B.) $15.00 C.) $18.00 D.) $36.00 E.) NG 24/05/2017 123 Geometry- Triangle-Terminology • There were 30 questions on a math test. Chaz got 80% of them correct. How many questions could he not answer correctly? Answer: 6 24/05/2017 124 Algebraic areas 24/05/2017 125 Conversion graphs – money 24/05/2017 126 Conversion graphs – temperature 24/05/2017 127 Cog wheels 24/05/2017 128 Cubes and cube roots 24/05/2017 129 Fractions on a clock face 24/05/2017 130 Mid-points 24/05/2017 131 Mid-points 24/05/2017 132 Multiplying and dividing fractions 24/05/2017 133 Percentage increase and decrease 24/05/2017 134 Percentages of shapes 24/05/2017 135 Place value 24/05/2017 136 Rational or irrational? 24/05/2017 137