The Sixth Annual West Windsor-Plainsboro Mathematics Tournament

Size: px
Start display at page:

Download "The Sixth Annual West Windsor-Plainsboro Mathematics Tournament"

Transcription

1 The Sixth Annual West Windsor-Plainsboro Mathematics Tournament Saturday October 27th, 2018 Grade 6 Test RULES The test consists of 25 multiple choice problems and 5 short answer problems to be done in 40 minutes. All multiple choice answers should be marked on the Scantron mark sheet. No marks on this paper will be graded. All short answers you write should be in exact, simplified form, unless otherwise stated in the question, following the rules below: All fractions must be simplified. All fractional answers must be expressed in the form a b where a and b share no common factors other than 1. For example, if the answer is 9 5, then (mixed fraction) or 10 are NOT ACCEPTABLE. Any question that involves the number π in the answer must be written using the symbol π. In particular, decimal approximations of π are NOT ACCEPTABLE. All radicals must be simplified. Radicals in the denominator of a final answer, a perfect n th power under a n th root, or fractions/decimals under a radical are NOT ACCEPTABLE. You can ask your proctor a question, but if they think answering your question will give you an unfair advantage on the test over other contestants, they don t have to respond. After the testing has completed, please go to your selected mini-event rotation (directions will be given for this after the main contest is over). DO NOT FLIP THIS PAGE TO BEGIN THE TEST UNTIL INSTRUCTED TO DO SO BY YOUR PROCTOR(S).

2 Multiple-Choice Questions Answers to this section of the test should go on the scantron multiple-choice form given to you. NOTHING WRITTEN ON THIS TEST PAPER WILL BE SCORED. 1. What is ( )/9? A. 99 B. 100 C. 101 D. 123 E. 111 Solution: 123 ( )/9 = 1107/9 = Compute the following: A. 72 B. 72 C. 73 D. 145 E Solution: 73 By grouping terms together the series becomes 1 + ( 2 + 3) + ( 4 + 5) ( ) = = ( ) 1/2 = Claude goes to the school store and buys a pencil and an eraser. If the total cost of his purchase is $5.50 and the pencil cost $5 more than the eraser, how much did the eraser cost? A. $0.00 B. $0.25 C. $5.00 D. $5.25 E. $5.50 Solution: $0.25 If x is the cost of an eraser, the cost of a pencil is x + $5.00. If the cost of an eraser and a pencil is $5.50 then x + x + $5.00 = $5.50 and 2x = $0.50 so x = $ David and his dad share their birthday on the same day! David just turned 17, and his dad is now exactly 3 times David s age. How old was his dad when David was born? A. 17 B. 18 C. 34 D. 35 E. 51 Solution: 34 If David s dad is 3 times as old as David, then he is 17 3 = 51 years old. David was born 17 years ago so hist dad s age then was = Bill is making a new fish tank. He takes a box with dimensions 6 cm by 4 cm by 4 cm, but places a sphere inside with a volume of 32 cubic centimeters, how many cubic centimeters of water is needed to fill the tank? A. 36 B. 45 C. 64 D. 72 E. 96 Solution: 64 The volume needed to fill the tank is the volume of the tank minus the volume of the sphere. This gives = = 64

3 6. In Math Club, there are three types of animals: Snakes, Cats, and Cows. Exactly 20% of Snakes attend every meeting, 30% of Cats attend every meeting, and 90% of Cows attend every meeting. Given that the number of each type of animal present is an natural number, what is the least amount of total members in Math Club? A. 13 B. 25 C. 30 D. 33 E. 140 Solution: 25 Converting the percentages to their most simplified factional equivalent results in 1 5, 3 10, and 9 10 This results in the denominator being the lest possible total number of members, as the fractions cannot be further reduced over the integers is Bessie the Cow escapes from the farm. She heads 5 miles north and 12 miles east. Farmer Joe then goes in a straight line from his farm to Bessie s current location. How much more distance did Bessie travel than farmer Joe? A. 3 miles B. 4 miles C. 5 miles D. 6 miles E. 7 miles Solution: 4 Bessie the Cow travels a total of = 17 miles while Farmer Joe travels a total of = 13 so the difference is = 4 8. Jimmy is baking cake, which has only flour, sugar, and baking soda. The recipe calls for three times as much flour as sugar, and half as much baking soda as sugar. If Jimmy uses 2/3 cups of baking soda, how many cups of ingredients did Jimmy use in total? A. 6 cups B. 7 cups C. 8 cups D. 9 cups E. 10 cups Solution: 6 cups. There is half as much baking soda as sugar, so the amount of sugar is 2 2/3 = 4/3. There is three times as much baking powder as sugar, so there is 3 4/3 = 4 cups of baking powder. So the total is 2/3 + 4/3 + 4 = 6 cups of ingredients. 9. In Mathville, for every dollar earned by a citizen, they must pay 15 cents to the government, but every $15 paid to the government results in a $1 refund. If Adam earns $1500 dollars, how much money does he have to pay to the government? A. $200.0 B. $ C. $ D. $ E. $ Solution: 210 Adam makes $1500 so he pays the government $ /1 = $225. Adam then gets $225 1/15 = $15 in refunds. This means the total he pays the government is = 210.

4 10. Andrew likes to build scale models in his free time. Recently, he decided to build a replica of the Empire state building, which is 1440 feet tall, at a scale of 1 inch to 40 feet. How tall is his scale model in inches? A. 3 inches B. 10 inches C. 36 inches D. 432 inches E inches Solution: 36 inches. The height of the replica is 1440 feet 1 inch/40 feet= 36 inches. 11. Tommy joined cross-country in his school. In the first practice, he was able to run 8 miles in an hour. After a week of practicing, Tommy could run 10 miles in the same amount of time. If Tommy continued to increase the amount he could run by the same amount every week thereafter, how many miles would he be able to run after 4 more weeks? A. 10 miles B. 12 miles C. 14 miles D. 16 miles E. 18 miles Solution: 18 miles. Each week Tom will increase the distance by 2 miles, so after 4 weeks, he will be able to run = 18 miles. 12. Jack and Jill are rounding numbers. They are given a number, 49.49, and decide to round it. Jack rounds it by first rounding to the hundredths place, then the tenths place, then the ones place, then the tens place, then the hundreds place. Jill rounds by rounding it to the nearest hundreds place. What is the difference between Jack s final number and Jill s final number? A. 0 B. 50 C. 100 D. 150 E. 200 Solution: 100 When Jack rounds, he will get, after each respective step, 49.50, then 49.5, then 50, then 50, and finally 100, while Jill will just round down to 0 so the difference is = The company SGSS is a massive company with 4 branches in each of the 9 biggest countries. In addition, each branch has 20 buildings each employing 20 workers. If SGSS pays all of their employees equally, and raised their wages by $0.20, then how much more money will they have to pay their employees? A B C D E Solution: 2880 In 9 countries, there are 4 branches each, each with 20 buildings that have 20 workers that each get a $0.20 raise. This yields $0.20 = 2880

5 14. Al is taking a test he did not study for. He can only correctly answer 10% of the problems, and will guess the answer for the rest. If the test is 120 multiple choice with four choices per answer, how many problems can he expect to get right? A. 12 B. 30 C. 36 D. 39 E. 42 Solution: 39 Al will correctly guess = 12 questions. On the remaining 108 questions he will guess with a 1 4 chance, which gives an expected value of = 27 questions = 39 questions. 15. Given a 5x5 grid, how many ways are there to color exactly 5 cells yellow, such that each row and each column contain exactly one yellow cell? A. 120 B. 240 C. 360 D. 720 E. 840 Solution: 120 There must be 1 square in each row. In the first row, there are 5 options to paint a square, then in the second row, there are 4 options, as it cannot be in the same column as the painted box in the first row. If this is continued through the rest of the rows, the total number of ways is 5! = 120 ways. 16. Fields on a farm are numbered 1 to 50. Bessie the cow goes around eating fields that are multiples of 2. Then she goes around and eats multiples of 3, then 4, then 5. How many fields are still full of grass? (Note: If Bessie ate the grass on a field, it is no longer full). A. 11 B. 12 C. 13 D. 14 E. 15 Solution: 14 Note that the multiples of 4 are included in the multiples of 2 meaning it is equivalent to finding the number of unique multiples of 2, 3, and 5 less than 50. Since all three are prime, we can count their multiples, subtract multiples that share two or more of the three as factors, and finally add multiples that have all three as factors. This yields 50 ( ) = = 14 fields. 17. You and a friend are playing a game with dice. If the dice lands on an even number, your friend gives you $3. If the dice lands on an odd number, you have to give your friend $2.37. You have time to play exactly 10 rounds. If you won exactly 6 rounds, how much money did you win? A. $7.26 B. $7.89 C. $8.52 D. $9.15 E. $9.88 Solution: 8.52 You win 6 round which give you 6 $3 = $18 and you lose 4 rounds which loose you 4 $2.37 = $9.48. This means overall you win $18 $9.48 = $8.52

6 18. Todd owns a restaurant with 20 tables. The tables can seat either 4 or 6 people. If 92 people can be seated at Todd s cafe, how many 4 people tables are there in Todd s restaurant? A. 14 B. 15 C. 16 D. 17 E. 18 Solution: 14 let: s = six-seat tables and f = four-seat tables s + f = 20 6s + 4f = 92 6(20-f) + 4f = f = 92-2f =-28 f = What is the units digit of ? A. 0 B. 2 C. 4 D. 6 E. 8 Solution: 4 Since the units digits of 2018 is 8 when the power it is taken to increases, the units digit of the value will cycle 8 to 4 to 2 to 6 and back to 8. Since 2018 is two more than a multiple of four, we take the second number in the cycle which is A diagonal is defined as a line connecting two non-adjacent vertices of a polygon. How many diagonals does a polygon with 19 sides have? A. 152 B. 171 C. 304 D. 323 E. 342 Solution: 152 Each vertex is connected to 16 diagonals, as the lines connecting to adjacent vertices are not diagonals. This gives a total of = 304, but each vertex is connects two vertices so each diagonal was counted twice, so the final answer is 304/2 = Two sides of a triangle have lengths 13 and 15. If the altitude to the third side is 12, what is the length of the third side? A. 11 B. 12 C. 13 D. 14 E. 15 Solution: 30 The triangle can be divided by the altitude into two right triangles with hypotenuse 13 and 15 respectively, and one leg of 12 for both, which means that the legs on the base of the larger triangle are 5 and 9 respectively, so the total lenght is 14

7 22. How many digits does have? A. 9 B. 10 C. 11 D. 12 E. 13 Solution: 12 Changing 11 into and note that < 10. This means that the total number of digits is equal to the total number of digits of which has 12 digits. 23. I have a broken calculator that can only do two operations: divide by 3, or subtract 1. What is the minimum amount of operations it takes to get from 2018 to 0? A. 14 B. 16 C. 18 D. 20 E. 22 Solution: 16 Note how subtracting 1 three times and then dividing by 3 is equivalent to dividing by 3 and then subtracting 1. This means the most optimal way to reach 0 is to divide by 3 until it is no longer a multiple of three and subtract 1 until it is a multiple of 3 and repeat. This method takes 16 operations to reach A cat is walking on the vertices of triangle ABC. The cat starts at vertex A and walks to an adjacent vertex at random every second. What is the probability that the cat is back at vertex A after 5 seconds? A. 1/16 B. 2/16 C. 3/16 D. 4/16 E. 5/16 5 Solution: If the cat moves clockwise, add one to its value, and if it moves counter-clockwise, subtract 16 one from its value. In order for the cat to return to vertex A, its final value must be a multiple of three. With 5 moves there is only 2 possible ways. 4 clockwise and 1 counter-clockwise, and vice versa. In each case, there are 5 ways to order the moves. The total number of possible outcomes is 2 5 as there are 2 possible moves every second. This yields the probability of 2 10 = = What is the tens digit of 5! + 6! + 7! !? (The! is a factorial, and n! = n (n 1) (n 2) 2 1. For example, 4! = = 24) A. 4 B. 5 C. 6 D. 7 E. 8 Solution: 8 Note that starting from 10!, the tens digit is 0, and will remain 0. This means the sum of 5! + 6! + 7! + 8! + 9! is equivalent. 5! = 120 has a tens digit of 2 and since (n + 1)! = (n + 1)n!, it follows that the tens digits of the 4 next terms are 2, 4, 2, and 8 respectively. Summing the numbers up results in 8

8 Short Answer Questions Answers to this section of the test should go on the short answer questions answer form given to you. NOTHING WRITTEN ON THIS TEST PAPER WILL BE SCORED. 1. Adam has to buy a birthday present for two of his friends, but he s forgotten which one wants which gift. He knows that one of them wants cat food, one wants an iphone 10, but he also remembers someone asking him for a hockey stick. If Adam randomly gives one of the three gifts to each of the two friends, what is the probability that both of them get the gift they want? (Note: Both friends do not want the same gift) 1 Solution: There is only 1 way in which the two friends both receive what they want. There are 3 gifts 6 Adam can give to his first friend, and 2 that he can give to his second friend. This means there are 6 total possible ways to hand out gifts making the probability The numbers on the opposite faces of a die add up to 7. What is the sum of the numbers on the 4 faces touching the face with the number 1? Solution: 14 The 4 sides of the die adjacent to the side with the number 4 on it are 2 sets of opposite sides. This means their sum is 2 7 = How many distinct ways can the letters B, E, S, S, I, E be rearranged such that it does not form the word Bessie? Solution: 179 6!/2!*2! = 720/4 = 180 total arrangements. Since the arrangement cannot be BESSIE, it becomes 179 arrangements. 4. Let x be the answer to this problem. If x is positive, what is x 2 6? Solution: 3 Since the solution of the questions is equal to both x and x 2 6, setting them equal results in x 2 6 = x which simplifies to x 2 x 6 which can be factored into (x 3)(x + 2) which gives the solutions x = 3, 2 and since x is positive, the answer is 3 5. A bee is riding on a train heading west. Once another train heading east on the same track is within 200 miles, the bee begins to fly to and from the two trains until they meet. The first train travels at 40 mi/h but stops for 3 minutes at a station before crossing paths with the other train, while the second train travels at 61 mi/h. If the bee travels 200 mi/h, how much distance does the bee travel? Solution: 400 When the first train stops, in that time, it could travel 40 3/60 = 2 miles. So the question is the equivalent of having the two trains start 202 miles apart, and not have any train stop. This means it will take the trains 202/( ) = 2 hours to meet. Since the bee is traveling at 200 mi/h, the bee will travel 400 miles in the 2 hour time.

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament The Sixth Annual West Windsor-Plainsboro Mathematics Tournament Saturday October 27th, 2018 Grade 6 Test RULES The test consists of 25 multiple choice problems and 5 short answer problems to be done in

More information

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament The Sixth Annual West Windsor-Plainsboro Mathematics Tournament Saturday October 27th, 2018 Grade 7 Test RULES The test consists of 25 multiple choice problems and 5 short answer problems to be done in

More information

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament The Sixth Annual West Windsor-Plainsboro Mathematics Tournament Saturday October 27th, 2018 Grade 7 Test RULES The test consists of 25 multiple choice problems and 5 short answer problems to be done in

More information

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament The Sixth Annual West Windsor-Plainsboro Mathematics Tournament Saturday October 27th, 2018 Grade 8 Test RULES The test consists of 2 multiple choice problems and short answer problems to be done in 40

More information

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament The Sixth Annual West Windsor-Plainsboro Mathematics Tournament Saturday October 27th, 2018 Grade 4 Test RULES The test consists of 15 multiple choice problems and 5 short answer problems to be done in

More information

Math is Cool Masters

Math is Cool Masters Individual Multiple Choice Contest 1 Evaluate: ( 128)( log 243) log3 2 A) 35 B) 42 C) 12 D) 36 E) NOTA 2 What is the sum of the roots of the following function? x 2 56x + 71 = 0 A) -23 B) 14 C) 56 D) 71

More information

Individual 5 th Grade

Individual 5 th Grade Individual 5 th Grade Instructions: Problems 1 10 are multiple choice and count towards your team score. Bubble in the letter on your answer sheet. Be sure to erase all mistakes completely. 1. Which one

More information

Year 6. Mathematics A booklet for parents

Year 6. Mathematics A booklet for parents Year 6 Mathematics A booklet for parents About the statements These statements show some of the things most children should be able to do by the end of Year 6. Some statements may be more complex than

More information

Incoming Advanced Grade 7

Incoming Advanced Grade 7 Name Date Incoming Advanced Grade 7 Tell whether the two fractions form a proportion. 1. 3 16, 4 20 2. 5 30, 7 42 3. 4 6, 18 27 4. Use the ratio table to find the unit rate in dollars per ounce. Order

More information

Individual Test - Grade 5

Individual Test - Grade 5 2003 Washington State Math Championship Unless a particular problem directs otherwise, give an exact answer or one rounded to the nearest thousandth. Individual Test - Grade 5 The first 10 problems are

More information

Eighth Grade Test - Excellence in Mathematics Contest

Eighth Grade Test - Excellence in Mathematics Contest 1. The sum of two natural numbers is 100 and their positive difference is 42. What is the positive difference of the squares of these two natural numbers?. 1600. 200. 600. 4200. 400 2. The sum of 16 consecutive

More information

Eighth Grade Middle School Mathematics Contest

Eighth Grade Middle School Mathematics Contest Eighth Grade Middle School Mathematics Contest 2002 1 1. If two sides of a triangle have lengths of 3 feet and 4 feet, then what must be true about the length of the third side? a. It must be 5 feet. b.

More information

5 th /6 th Grade Test February 4, 2017

5 th /6 th Grade Test February 4, 2017 DO NOT OPEN UNTIL INSTRUCTED TO DO SO Don Bosco Technical Institute proudly presents the 45 th Annual Mathematics Contest Directions: This test contains 30 questions. 5 th /6 th Grade Test February 4,

More information

Pre-Algebra Sponsored by the Indiana Council of Teachers of Mathematics. Indiana State Mathematics Contest

Pre-Algebra Sponsored by the Indiana Council of Teachers of Mathematics. Indiana State Mathematics Contest Pre-Algebra 2010 Sponsored by the Indiana Council of Teachers of Mathematics Indiana State Mathematics Contest This test was prepared by faculty at Indiana State University ICTM Website http://www.indianamath.org/

More information

What I can do for this unit:

What I can do for this unit: Unit 1: Real Numbers Student Tracking Sheet Math 10 Common Name: Block: What I can do for this unit: After Practice After Review How I Did 1-1 I can sort a set of numbers into irrationals and rationals,

More information

1. Eighty percent of eighty percent of a number is 144. What is the 1. number? 2. How many diagonals does a regular pentagon have? 2.

1. Eighty percent of eighty percent of a number is 144. What is the 1. number? 2. How many diagonals does a regular pentagon have? 2. Blitz, Page 1 1. Eighty percent of eighty percent of a number is 144. What is the 1. number? 2. How many diagonals does a regular pentagon have? 2. diagonals 3. A tiny test consists of 3 multiple choice

More information

1. How many diagonals does a regular pentagon have? A diagonal is a 1. diagonals line segment that joins two non-adjacent vertices.

1. How many diagonals does a regular pentagon have? A diagonal is a 1. diagonals line segment that joins two non-adjacent vertices. Blitz, Page 1 1. How many diagonals does a regular pentagon have? A diagonal is a 1. diagonals line segment that joins two non-adjacent vertices. 2. Let N = 6. Evaluate N 2 + 6N + 9. 2. 3. How many different

More information

Grade Pellissippi State Middle School Mathematics Competition Funded by ORAU 1. Pellissippi State. Middle School Mathematics Competition

Grade Pellissippi State Middle School Mathematics Competition Funded by ORAU 1. Pellissippi State. Middle School Mathematics Competition Grade 6 008 Pellissippi State Middle School Mathematics Competition Funded by ORAU Pellissippi State Middle School Mathematics Competition Sponsored by: Oak Ridge Associated Universities Sixth Grade Scoring

More information

Meet #5 March Intermediate Mathematics League of Eastern Massachusetts

Meet #5 March Intermediate Mathematics League of Eastern Massachusetts Meet #5 March 2008 Intermediate Mathematics League of Eastern Massachusetts Meet #5 March 2008 Category 1 Mystery 1. In the diagram to the right, each nonoverlapping section of the large rectangle is

More information

MATHCOUNTS State Competition Sprint Round Problems This round of the competition consists of 30 problems.

MATHCOUNTS State Competition Sprint Round Problems This round of the competition consists of 30 problems. MATHCOUNTS 2007 State Competition Sprint Round Problems 1 30 Name School Chapter DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. This round of the competition consists of 30 problems. You will have 40

More information

Comprehensive. Do not open this test booklet until you have been advised to do so by the test proctor.

Comprehensive. Do not open this test booklet until you have been advised to do so by the test proctor. Indiana State Mathematics Contest 205 Comprehensive Do not open this test booklet until you have been advised to do so by the test proctor. This test was prepared by faculty at Ball State University Next

More information

5 th Grade MATH SUMMER PACKET ANSWERS Please attach ALL work

5 th Grade MATH SUMMER PACKET ANSWERS Please attach ALL work NAME: 5 th Grade MATH SUMMER PACKET ANSWERS Please attach ALL work DATE: 1.) 26.) 51.) 76.) 2.) 27.) 52.) 77.) 3.) 28.) 53.) 78.) 4.) 29.) 54.) 79.) 5.) 30.) 55.) 80.) 6.) 31.) 56.) 81.) 7.) 32.) 57.)

More information

Grade 6 Middle School Mathematics Contest A parking lot holds 64 cars. The parking lot is 7/8 filled. How many spaces remain in the lot?

Grade 6 Middle School Mathematics Contest A parking lot holds 64 cars. The parking lot is 7/8 filled. How many spaces remain in the lot? Grade 6 Middle School Mathematics Contest 2004 1 1. A parking lot holds 64 cars. The parking lot is 7/8 filled. How many spaces remain in the lot? a. 6 b. 8 c. 16 d. 48 e. 56 2. How many different prime

More information

4 What are and 31,100-19,876? (Two-part answer)

4 What are and 31,100-19,876? (Two-part answer) 1 What is 14+22? 2 What is 68-37? 3 What is 14+27+62+108? 4 What are 911-289 and 31,100-19,876? (Two-part answer) 5 What are 4 6, 7 8, and 12 5? (Three-part answer) 6 How many inches are in 4 feet? 7 How

More information

Algebra/Geometry Session Problems Questions 1-20 multiple choice

Algebra/Geometry Session Problems Questions 1-20 multiple choice lgebra/geometry Session Problems Questions 1-0 multiple choice nswer only one choice: (a), (b), (c), (d), or (e) for each of the following questions. Only use a number pencil. Make heavy black marks that

More information

40 min NUMERACY. year. Use 2B or HB pencil only SESSION 2. Time available for students to complete test: 40 minutes

40 min NUMERACY. year. Use 2B or HB pencil only SESSION 2. Time available for students to complete test: 40 minutes NUMERACY NON-calculator year 016 0 min SESSION Time available for students to complete test: 0 minutes Use B or HB pencil only Australian Curriculum, Assessment and Reporting Authority, 016 YEAR NUMERACY

More information

Math is Cool Masters

Math is Cool Masters Sponsored by: Algebra II January 6, 008 Individual Contest Tear this sheet off and fill out top of answer sheet on following page prior to the start of the test. GENERAL INSTRUCTIONS applying to all tests:

More information

Kansas City Area Teachers of Mathematics 2005 KCATM Contest PROBLEM SOLVING TEST GRADE 6

Kansas City Area Teachers of Mathematics 2005 KCATM Contest PROBLEM SOLVING TEST GRADE 6 Kansas City Area Teachers of Mathematics 2005 KCATM Contest PROBLEM SOLVING TEST GRADE 6 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 15 minutes You may use calculators

More information

Answer questions 1-35 on your Scantron. Questions 1-30 will be scored for the Power Bowl event. In the

Answer questions 1-35 on your Scantron. Questions 1-30 will be scored for the Power Bowl event. In the Answer questions 1-35 on your Scantron. Questions 1-30 will be scored for the Power Bowl event. In the event of a tie, questions 31-35 will be used as the tiebreaker. 1. If a = 2, the largest number in

More information

Math is Cool Championships

Math is Cool Championships Math is Cool Championships-2002-03 Sponsored by: Western Polymer Corporation Individual Contest Express all answers as reduced fractions unless stated otherwise. Leave answers in terms of π where applicable.

More information

Please print legibly. Names

Please print legibly. Names SCORE Please print legibly School / Team Names 1. A half circle overlaps with a square. The diameter of the half circle is 12 inches. What is the area of the striped parts? 1. square inches 2. Before district

More information

Score. Please print legibly. School / Team Names. Directions: Answers must be left in one of the following forms: 1. Integer (example: 7)

Score. Please print legibly. School / Team Names. Directions: Answers must be left in one of the following forms: 1. Integer (example: 7) Score Please print legibly School / Team Names Directions: Answers must be left in one of the following forms: 1. Integer (example: 7)! 2. Reduced fraction (example:! )! 3. Mixed number, fraction part

More information

A = 5; B = 4; C = 3; B = 2; E = 1; F = 26; G = 25; H = 24;.; Y = 7; Z = 6 D

A = 5; B = 4; C = 3; B = 2; E = 1; F = 26; G = 25; H = 24;.; Y = 7; Z = 6 D 1. message is coded from letters to numbers using this code: = 5; B = 4; = 3; B = 2; E = 1; F = 26; G = 25; H = 24;.; Y = 7; Z = 6 When the word MISSISSIPPI is coded, what is the sum of all eleven numbers?.

More information

a. $ b. $ c. $

a. $ b. $ c. $ LESSON 51 Rounding Decimal Name To round decimal numbers: Numbers (page 268) 1. Underline the place value you are rounding to. 2. Circle the digit to its right. 3. If the circled number is 5 or more, add

More information

IMLEM Meet #5 March/April Intermediate Mathematics League of Eastern Massachusetts

IMLEM Meet #5 March/April Intermediate Mathematics League of Eastern Massachusetts IMLEM Meet #5 March/April 2013 Intermediate Mathematics League of Eastern Massachusetts Category 1 Mystery You may use a calculator. 1. Beth sold girl-scout cookies to some of her relatives and neighbors.

More information

Grade 7 Middle School Mathematics Contest Select the list below for which the values are listed in order from least to greatest.

Grade 7 Middle School Mathematics Contest Select the list below for which the values are listed in order from least to greatest. Grade 7 Middle School Mathematics Contest 2004 1 1. Select the list below for which the values are listed in order from least to greatest. a. Additive identity, 50% of 1, two-thirds of 7/8, reciprocal

More information

Kansas City Area Teachers of Mathematics 2005 KCATM Contest PROBLEM SOLVING TEST GRADE 5

Kansas City Area Teachers of Mathematics 2005 KCATM Contest PROBLEM SOLVING TEST GRADE 5 Kansas City Area Teachers of Mathematics 2005 KCATM Contest PROBLEM SOLVING TEST GRADE 5 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 15 minutes You may use calculators

More information

Sample Pages. out of 17. out of 15. a $1.15 b $0.85. a 4280 b 2893 c 724. a Which of these are odd? b Which of these are even?

Sample Pages. out of 17. out of 15. a $1.15 b $0.85. a 4280 b 2893 c 724. a Which of these are odd? b Which of these are even? 1:1 out of 15 1:2 out of 17 7 + 8 13 4 12 9 3 3 4 2 9 plus 5. 8 + 6 4 groups of 5. 1 8 + 1 1 1 5 4 12 + 7 9 2 16 + 4 7 4 10 7 17 subtract 7. 11 6 20 minus 12. 6 7 + 2 2 7 9 4 3 Write these numbers on the

More information

State Math Contest Junior Exam SOLUTIONS

State Math Contest Junior Exam SOLUTIONS State Math Contest Junior Exam SOLUTIONS 1. The following pictures show two views of a non standard die (however the numbers 1-6 are represented on the die). How many dots are on the bottom face of figure?

More information

EXCELLENCE IN MATHEMATICS EIGHTH GRADE TEST CHANDLER-GILBERT COMMUNITY COLLEGE S. TWELFTH ANNUAL MATHEMATICS CONTEST SATURDAY, JANUARY 21 st, 2012

EXCELLENCE IN MATHEMATICS EIGHTH GRADE TEST CHANDLER-GILBERT COMMUNITY COLLEGE S. TWELFTH ANNUAL MATHEMATICS CONTEST SATURDAY, JANUARY 21 st, 2012 EXCELLENCE IN MATHEMATICS EIGHTH GRADE TEST CHANDLER-GILBERT COMMUNITY COLLEGE S TWELFTH ANNUAL MATHEMATICS CONTEST SATURDAY, JANUARY 21 st, 2012 1. DO NOT OPEN YOUR TEST BOOKLET OR BEGIN WORK UNTIL YOU

More information

The Pythagorean Theorem 8.6.C

The Pythagorean Theorem 8.6.C ? LESSON 8.1 The Pythagorean Theorem ESSENTIAL QUESTION Expressions, equations, and relationships 8.6.C Use models and diagrams to explain the Pythagorean Theorem. 8.7.C Use the Pythagorean Theorem...

More information

Math is Cool Championships

Math is Cool Championships Sponsored by: IEEE - Central Washington Section Individual Contest Express all answers as reduced fractions unless stated otherwise. Leave answers in terms of π where applicable. Do not round any answers

More information

All answers are to be written on the enclosed answer sheet. A parent is to sign and date your work at the completion of each unit.

All answers are to be written on the enclosed answer sheet. A parent is to sign and date your work at the completion of each unit. Hello Upcoming 6th Graders, Enclosed are three units of math problems to help keep your math skills fresh this summer. In preparation for 6-Math, complete one unit each month this summer (June, July, August).

More information

CK-12 Geometry Inductive Reasoning

CK-12 Geometry Inductive Reasoning CK-12 Geometry Inductive Reasoning Learning Objectives Recognize visual and number patterns. Extend and generalize patterns. Write a counterexample. Review Queue a. Look at the patterns of numbers below.

More information

MATHCOUNTS Mock National Competition Sprint Round Problems Name. State DO NOT BEGIN UNTIL YOU HAVE SET YOUR TIMER TO FORTY MINUTES.

MATHCOUNTS Mock National Competition Sprint Round Problems Name. State DO NOT BEGIN UNTIL YOU HAVE SET YOUR TIMER TO FORTY MINUTES. MATHCOUNTS 2015 Mock National Competition Sprint Round Problems 1 30 Name State DO NOT BEGIN UNTIL YOU HAVE SET YOUR TIMER TO FORTY MINUTES. This section of the competition consists of 30 problems. You

More information

State Math Contest (Junior)

State Math Contest (Junior) Name: Student ID: State Math Contest (Junior) Instructions: Do not turn this page until your proctor tells you. Enter your name, grade, and school information following the instructions given by your proctor.

More information

April 6, 2013 RIT Competition Sprint Round Problems 1-30

April 6, 2013 RIT Competition Sprint Round Problems 1-30 April 6, 2013 RIT Competition Sprint Round Problems 1-30 Name DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. This section of the competition consists of 30 problems. You will have 40 minutes to complete

More information

Math is Cool Championships Sponsored by: EKA Chemicals 6 th Grade - February 26, 1999 Individual Contest

Math is Cool Championships Sponsored by: EKA Chemicals 6 th Grade - February 26, 1999 Individual Contest Math is Cool Championships - 1998-99 Sponsored by: EKA Chemicals Individual Contest Express all answers as reduced fractions unless stated otherwise. Leave answers in terms of π where applicable. Do not

More information

Minute Simplify: 12( ) = 3. Circle all of the following equal to : % Cross out the three-dimensional shape.

Minute Simplify: 12( ) = 3. Circle all of the following equal to : % Cross out the three-dimensional shape. Minute 1 1. Simplify: 1( + 7 + 1) =. 7 = 10 10. Circle all of the following equal to : 0. 0% 5 100. 10 = 5 5. Cross out the three-dimensional shape. 6. Each side of the regular pentagon is 5 centimeters.

More information

Probability and Statistics - Grade 5

Probability and Statistics - Grade 5 Probability and Statistics - Grade 5. If you were to draw a single card from a deck of 52 cards, what is the probability of getting a card with a prime number on it? (Answer as a reduced fraction.) 2.

More information

Grade Tennessee Middle/Junior High School Mathematics Competition 1 of 8

Grade Tennessee Middle/Junior High School Mathematics Competition 1 of 8 Grade 7 2011 Tennessee Middle/Junior High School Mathematics Competition 1 of 8 1. The day you were born, your grandmother put $500 in a savings account that earns 10% compounded annually. (On your first

More information

Hundreds Grid. MathShop: Hundreds Grid

Hundreds Grid. MathShop: Hundreds Grid Hundreds Grid MathShop: Hundreds Grid Kindergarten Suggested Activities: Kindergarten Representing Children create representations of mathematical ideas (e.g., use concrete materials; physical actions,

More information

4 One ticket costs What will four tickets cost? 17.50

4 One ticket costs What will four tickets cost? 17.50 TOP TEN Set X TEST 1 1 Multiply 6.08 by one thousand. 2 Write one quarter as a decimal. 3 35% of a number is 42. What is 70% of the number? 4 One ticket costs 17.50. What will four tickets cost? 17.50

More information

NMC Sample Problems: Grade 5

NMC Sample Problems: Grade 5 NMC Sample Problems: Grade 1. 1 2 6 10 8 9 6 =? 10 4 1 8 1 20 6 2 2. What is the value of 6 4 + 2 1 2? 1 4 1 4 1 4 12 12. What is the value of 2, 46 + 1, 74, 894 expressed to the nearest thousand? 4, 000

More information

First Name: Last Name: Select the one best answer for each question. DO NOT use a calculator in completing this packet.

First Name: Last Name: Select the one best answer for each question. DO NOT use a calculator in completing this packet. 5 Entering 5 th Grade Summer Math Packet First Name: Last Name: 5 th Grade Teacher: I have checked the work completed: Parent Signature Select the one best answer for each question. DO NOT use a calculator

More information

1. Answer: 250. To reach 90% in the least number of problems involves Jim getting everything

1. Answer: 250. To reach 90% in the least number of problems involves Jim getting everything 8 th grade solutions:. Answer: 50. To reach 90% in the least number of problems involves Jim getting everything 0 + x 9 correct. Let x be the number of questions he needs to do. Then = and cross 50 + x

More information

International Contest-Game MATH KANGAROO

International Contest-Game MATH KANGAROO International Contest-Game MATH KANGAROO Part A: Each correct answer is worth 3 points. 1. The number 200013-2013 is not divisible by (A) 2 (B) 3 (C) 5 (D) 7 (E) 11 2. The eight semicircles built inside

More information

GRADE 8 ANSWER KEY NUMBER. 1. Squares and Square Roots (8.N.1) 2. Estimating Square Roots (8.N.2)

GRADE 8 ANSWER KEY NUMBER. 1. Squares and Square Roots (8.N.1) 2. Estimating Square Roots (8.N.2) GRADE 8 ANSWER KEY Note: For more information on particular vocabulary, refer to Kindergarten to Grade 8 Mathematics Glossary (Manitoba Education). NUMBER 1. Squares and Square Roots (8.N.1) Level of Question

More information

Accuplacer Math Packet

Accuplacer Math Packet College Level Math Accuplacer Math Packet 1. 23 0 2. 5 8 5-6 a. 0 b. 23 c. 1 d. None of the above. a. 5-48 b. 5 48 c. 5 14 d. 5 2 3. (6x -3 y 5 )(-7x 2 y -9 ) a. 42x -6 y -45 b. -42x -6 y -45 c. -42x -1

More information

Summer Solutions Common Core Mathematics 4. Common Core. Mathematics. Help Pages

Summer Solutions Common Core Mathematics 4. Common Core. Mathematics. Help Pages 4 Common Core Mathematics 63 Vocabulary Acute angle an angle measuring less than 90 Area the amount of space within a polygon; area is always measured in square units (feet 2, meters 2, ) Congruent figures

More information

2019 Chapter Competition Countdown Round Problems 1 80

2019 Chapter Competition Countdown Round Problems 1 80 2019 Chapter Competition Countdown Round Problems 1 80 This booklet contains problems to be used in the Countdown Round. 2019 MATHCOUNTS National Competition Sponsor National Sponsors Raytheon Company

More information

= Y, what does X + Y equal?

= Y, what does X + Y equal? . If 8 = 72 = Y, what does X + Y equal? 42 X 28. 80 B. 84 C. 88 D. 92 E. 96 2. pair of jeans selling for $36.80 was put on sale for 25% off. Then a 0% sales tax was applied to the sale price. When she

More information

7 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers

7 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers Pellissippi State Middle School Mathematics Competition 7 th Grade Exam Scoring Format: points per correct response - each wrong response 0 for blank answers Directions: For each multiple-choice problem

More information

Math Challengers. Provincial Competition Face-off Round 2013

Math Challengers. Provincial Competition Face-off Round 2013 Math Challengers Provincial Competition Face-off Round 2013 A question always follows a blue page. The next page is blue! 1. What is the volume of the cone with base radius 2 and height 3? Give the answer

More information

Unit 1, Activity 2, Grain of Rice. Grade 4 Mathematics

Unit 1, Activity 2, Grain of Rice. Grade 4 Mathematics Unit 1, Activity 2, Grain of Rice Grade 4 Mathematics Unit 1, Activity 2, Grain of Rice One Grain of Rice Predict how many grains of rice Rani will get after one month. Complete the table with a partner.

More information

2 Reasoning and Proof

2 Reasoning and Proof www.ck12.org CHAPTER 2 Reasoning and Proof Chapter Outline 2.1 INDUCTIVE REASONING 2.2 CONDITIONAL STATEMENTS 2.3 DEDUCTIVE REASONING 2.4 ALGEBRAIC AND CONGRUENCE PROPERTIES 2.5 PROOFS ABOUT ANGLE PAIRS

More information

Targets for pupils in Year 6

Targets for pupils in Year 6 TV addicts Ask your child to keep a record of how long he / she watches TV each day for a week. Then ask him / her to do this. Work out the total watching time for the week. Work out the average watching

More information

Date. Probability. Chapter

Date. Probability. Chapter Date Probability Contests, lotteries, and games offer the chance to win just about anything. You can win a cup of coffee. Even better, you can win cars, houses, vacations, or millions of dollars. Games

More information

4 th Grade Curriculum Map

4 th Grade Curriculum Map 4 th Grade Curriculum Map 2017-18 MONTH UNIT/ CONTENT CORE GOALS/SKILLS STANDARDS WRITTEN ASSESSMENTS ROUTINES RESOURCES VOCABULARY September Chapter 1 8 days NUMBERS AND OPERATIONS IN BASE TEN WORKING

More information

Individual Round Grade 4

Individual Round Grade 4 Grade 4 1. Evaluate the following expression: 4 " (7! 2)! 8 2 2. What is the remainder when you divide 449 by 23? 3. Twelve friends took all of their candy after Halloween and made it so each of them had

More information

B 2 3 = 4 B 2 = 7 B = 14

B 2 3 = 4 B 2 = 7 B = 14 Bridget bought a bag of apples at the grocery store. She gave half of the apples to Ann. Then she gave Cassie 3 apples, keeping 4 apples for herself. How many apples did Bridget buy? (A) 3 (B) 4 (C) 7

More information

1. Answer: 250. To reach 90% in the least number of problems involves Jim getting everything

1. Answer: 250. To reach 90% in the least number of problems involves Jim getting everything . Answer: 50. To reach 90% in the least number of problems involves Jim getting everything 0 + x 9 correct. Let x be the number of questions he needs to do. Then = and cross 50 + x 0 multiplying and solving

More information

Pre-Algebra. Do not open this test booklet until you have been advised to do so by the test proctor.

Pre-Algebra. Do not open this test booklet until you have been advised to do so by the test proctor. Indiana State Mathematics Contest 016 Pre-Algebra Do not open this test booklet until you have been advised to do so by the test proctor. This test was prepared by faculty at Indiana State University Next

More information

Praxis I: Pre-Professional Skills Test (PPST) - Math Test

Praxis I: Pre-Professional Skills Test (PPST) - Math Test Praxis I: Pre-Professional Skills Test (PPST) - Math Test Praxis I Math Tips Time 60 minutes 40 Questions 1. A boy has a spinner labeled with the numbers 1 10. He spins it 100 times and records his results

More information

Squares and Square Roots Algebra 11.1

Squares and Square Roots Algebra 11.1 Squares and Square Roots Algebra 11.1 To square a number, multiply the number by itself. Practice: Solve. 1. 1. 0.6. (9) 4. 10 11 Squares and Square Roots are Inverse Operations. If =y then is a square

More information

Pellissippi State Middle School Mathematics Competition

Pellissippi State Middle School Mathematics Competition Grade 6 1 Pellissippi State 2009 Middle School Mathematics Competition Sponsored by: Oak Ridge Associated Universities Eighth Grade Scoring Formula: 4R W + 30 Directions: For each problem there are 5 possible

More information

Essentials. Week by. Week. Fraction Action Bill, Rasheed, and Juan own a hobby shop. Probability Pizzazz

Essentials. Week by. Week. Fraction Action Bill, Rasheed, and Juan own a hobby shop. Probability Pizzazz Week by Week MATHEMATICS Essentials Bill, Rasheed, and Juan own a hobby shop. Juan owns of the shop. Rasheed owns twice as much as Bill. What fraction of the shop does Bill own? Andy and Fran are playing

More information

Summer Math Tic-Tac-Toe- Entering 3 rd Grade

Summer Math Tic-Tac-Toe- Entering 3 rd Grade Summer Math Tic-Tac-Toe- Entering 3 rd Grade The game board below contains 9 fun and engaging real-world math activities. Choose 3 activities in order to get a tic-tac-toe, three-in-a-row. You can achieve

More information

Unit 9 Notes: Proportions. A proportion is an equation stating that two ratios (fractions) are equal.

Unit 9 Notes: Proportions. A proportion is an equation stating that two ratios (fractions) are equal. Name: Block: Date: MATH 6/7 NOTES & PRACTICE Unit 9 Notes: Proportions A proportion is an equation stating that two ratios (fractions) are equal. If the cross products are equivalent, the two ratios form

More information

2. Approximately how many seconds are there in two-sevenths of a 2. seconds minute? Round your answer to the nearest second.

2. Approximately how many seconds are there in two-sevenths of a 2. seconds minute? Round your answer to the nearest second. litz, Page 1 1. Simplify: 1 2 + 3 4 + 5 6 5 12 1. 2. pproximately how many seconds are there in two-sevenths of a 2. seconds minute? Round your answer to the nearest second. 3. lphonse has equal numbers

More information

The Willows Primary School Mental Mathematics Policy

The Willows Primary School Mental Mathematics Policy The Willows Primary School Mental Mathematics Policy The Willows Primary Mental Maths Policy Teaching methodology and organisation Teaching time All pupils will receive between 10 and 15 minutes of mental

More information

Excellence In MathematicS

Excellence In MathematicS Mathematics Educators of Greater St. Louis and St. Louis Community College at Florissant Valley present Excellence In MathematicS Thirty-Ninth Annual Mathematics Contest Eighth Grade Test ------- March

More information

Math is Cool Championships

Math is Cool Championships 9 th, 0 th, th & 2 th Grade October 9, 20 Mental Math Contest Mental Math 30 sec per question 8 problems read orally to everyone - Approximately 8% of Individual Score - 2% of team score When it is time

More information

American Mathematics Competitions. Practice 8 AMC 8

American Mathematics Competitions. Practice 8 AMC 8 American Mathematics Competitions Practice 8 AMC 8 (American Mathematics Contest 8) INSTRUCTIONS 1. DO NOT OPEN THIS BOOKLET UNTIL YOUR PROCTOR TELLS YOU.. This is a twenty-five question multiple choice

More information

a. b. c. d. 3. Ricky jogs 5 laps around a track in 8 minutes. Which of the following would be the same number of laps per minute?

a. b. c. d. 3. Ricky jogs 5 laps around a track in 8 minutes. Which of the following would be the same number of laps per minute? Indicate the answer choice that best completes the statement or answers the question. 1. Jake goes to the grocery store and buys 3 apples, 2 cans of soup, and 1 box of cereal. The apples cost $0.89 each;

More information

4 rows of 6 4 x 6 = rows of 4 6 x 4 = 24

4 rows of 6 4 x 6 = rows of 4 6 x 4 = 24 Arrays 8/8/16 Array a rectangular arrangement of equal rows 4 4 rows of 6 4 x 6 = 24 6 6 6 rows of 4 6 x 4 = 24 4 Dimension the number of rows and columns in an array Multiplication the operation of repeated

More information

Grade 8, Unit 3 Practice Problems - Open Up Resources

Grade 8, Unit 3 Practice Problems - Open Up Resources Grade 8, - Open Up Resources Lesson 1 Priya jogs at a constant speed. The relationship between her distance and time is shown on the graph. Diego bikes at a constant speed twice as fast as Priya. Sketch

More information

MATHCOUNTS Yongyi s National Competition Sprint Round Problems Name. State DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO.

MATHCOUNTS Yongyi s National Competition Sprint Round Problems Name. State DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. MATHCOUNTS 2008 Yongyi s National Competition Sprint Round Problems 1 30 Name State DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. This round of the competition consists of 30 problems. You will have

More information

2002 Mount Rainier Math Invitational Fifth Grade Individual Test

2002 Mount Rainier Math Invitational Fifth Grade Individual Test Fifth Grade Individual Test written by Jerrad Neff, Alan Mak and Paul Morales Reduce all fractions and answers may be left in terms of π or use 3.14 for π. Questions 1-20 are worth 2 points each 1. What

More information

An ordered collection of counters in rows or columns, showing multiplication facts.

An ordered collection of counters in rows or columns, showing multiplication facts. Addend A number which is added to another number. Addition When a set of numbers are added together. E.g. 5 + 3 or 6 + 2 + 4 The answer is called the sum or the total and is shown by the equals sign (=)

More information

Introduction. It gives you some handy activities that you can do with your child to consolidate key ideas.

Introduction. It gives you some handy activities that you can do with your child to consolidate key ideas. (Upper School) Introduction This booklet aims to show you how we teach the 4 main operations (addition, subtraction, multiplication and division) at St. Helen s College. It gives you some handy activities

More information

Math is Cool Championships

Math is Cool Championships Individual Contest GENERAL INSTRUCTIONS Good sportsmanship is expected throughout the competition by all involved. Bad sportsmanship may result in disqualification. Calculators may not be used on any portion

More information

Representing Square Numbers. Use materials to represent square numbers. A. Calculate the number of counters in this square array.

Representing Square Numbers. Use materials to represent square numbers. A. Calculate the number of counters in this square array. 1.1 Student book page 4 Representing Square Numbers You will need counters a calculator Use materials to represent square numbers. A. Calculate the number of counters in this square array. 5 5 25 number

More information

Mrs. Ambre s Math Notebook

Mrs. Ambre s Math Notebook Mrs. Ambre s Math Notebook Almost everything you need to know for 7 th grade math Plus a little about 6 th grade math And a little about 8 th grade math 1 Table of Contents by Outcome Outcome Topic Page

More information

Scoring Format: 3 points per correct response. -1 each wrong response. 0 for blank answers

Scoring Format: 3 points per correct response. -1 each wrong response. 0 for blank answers Grade 7 2013 Pellissippi State Middle School Math Competition 1 of 14 7 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers Directions: For each problem

More information

Math is Cool Championships

Math is Cool Championships Individual Contest GENERAL INSTRUCTIONS Good sportsmanship is expected throughout the competition by all involved. Bad sportsmanship may result in disqualification. Calculators or any other aids may not

More information

Cumulative Test (Multiple Choice)

Cumulative Test (Multiple Choice) 1. Noah is going to draw one marble from the can without looking.. The vertical dimensions of this polygon are doubled. Dimensions are in inches. 5 8 1 9 1 Which type of marble is Noah most likely to draw?

More information

Math Review Questions

Math Review Questions Math Review Questions Working with Feet and Inches A foot is broken up into twelve equal parts called inches. On a tape measure, each inch is divided into sixteenths. To add or subtract, arrange the feet

More information

Essentials. Week by. Week. Calculate! What is the largest product you can compute on your calculator? largest quotient?

Essentials. Week by. Week. Calculate! What is the largest product you can compute on your calculator? largest quotient? Week by Week MATHEMATICS Essentials Grade WEEK 5 Calculate! What is the largest product you can compute on your calculator? largest quotient? Is the answer the same for all the calculators in your class?

More information

L_sson 9 Subtracting across zeros

L_sson 9 Subtracting across zeros L_sson 9 Subtracting across zeros A. Here are the steps for subtracting 3-digit numbers across zeros. Complete the example. 7 10 12 8 0 2 2 3 8 9 1. Subtract the ones column. 2 8 requires regrouping. 2.

More information