HANOI STAR - APMOPS 2016 Training - PreTest1 First Round

Size: px
Start display at page:

Download "HANOI STAR - APMOPS 2016 Training - PreTest1 First Round"

Transcription

1 Asia Pacific Mathematical Olympiad for Primary Schools 2016 HANOI STAR - APMOPS 2016 Training - PreTest1 First Round 2 hours (150 marks) 24 Jan Instructions to Participants Attempt as many questions as you can. Neither mathematical tables nor calculators may be used. Write your answers in the answer boxes. Marks are awarded for correct answers only. This question paper consists of 5 printed pages (including this page) Number of correct answers for Q1 to Q10 : Marks (x4): Number of correct answers for Q11 to Q20: Marks (x5): Number of correct answers for Q20 to Q30: Marks (x6):

2 1. The diagram below shows rectangle ABDE where C is the midpoint of side BD, and F is the midpoint of side AE. If AB = 10 and BD = 24, find the area of the shaded region. 2. Find the sum of all two-digit integers which are both prime and are 1 more than a multiple of Given that , find the value of Trains go from town A to town B at regular intervals, all travelling at the same constant speed. A train going from town B to town A at the same constant speed along a parallel track meets the trains going in the opposite direction every 10 minutes. How often, in minutes, do the trains go from town A to town B? 5. If a, b and c donote the lengths ot the lines A, B and C in the picture, when which of the following statements is correct? A. a < b < c B. a < c < b C. b < a < c D. b < c < a E. c < b < a 6. In the number 2014, the last digit is greater than the sum of the other three digits. How many years ago did this last occur? 7. The length of the edges of the big regular hexagon is two times the length of the edges of the small regular hexagon. The small hexagon has an area of 4 cm 2. What is the area of the big hexagon?

3 8. How many digits are used to write the number 20 11? 9. Vivian wants to write the number 1000 as a sum of power of 3. At least how many powers of 3 does she need? 10. A two-digit even number is a multiple of 11. Multiplying the digits together will get a perfect cube and a perfect square. What is the number? 11. In the diagram below ABCDE is a regular pentagon, AG is perpendicular to CD, and BD intersects AG at F. Find the degree measure of AFB. 12. Six balls numbered 1, 2, 4, 8, 16 and 32 are placed in a bag. Ben removes four balls from the bag, adds up the number, writes the sum on a card and finally places the balls back into the bag. He repeats this process 15 times, where he obtains a different value each time. Find the sum of the values on the 15 cards. 13. The area of each of five circles is 133 cm 2. They are arranged in the form of cross inside a circle whose radius is three times as large. What is the total area, in cm 2, of the shaded parts in the diagram, taking 22? Four studens Kate, Leonard, Michelle and Nelson, participated in an art competition. When asked about the results of the competition, the gave the following replies: - Kate: I am the first - Leonard: I am the last - Michelle: I am not the last - Nelson: I am neither the first nor the last If one of them lied, which of them emerged first in the art competition?

4 15. A circle is tangent to a line at A. From a point P on the circle, a line is drawn such that PN is perpendicular to AN. If PN= 9 and AN= 15, determine the radius of the circle. 16. Dick goes to school by bicycle, riding at the same constant speed every day. One day, 3 4 of the way to school, the bicycle breaks down, and he has to walk the rest of the way at a constant speed. If the amount of time Dick takes to go to school that day is twice the normal amount, how many times is his riding speed compared to his walking speed? 17. The perimeter of the big wheel of this bicycle is 4.2 m. The perimeter of its small wheel is 0.9 m. At a certain moment, the values of both wheels are at their lowest points. The bicycle starts rolling to the left. How many metres will the bicycle pass until both values are at the same time at their lowest point, for the first time again? 18. Paul put some rectangular paintings on the wall. For each picture, he put one nail into the wall 2.5m above the floor, and attached a 2m long string at the two upper corners. Which of the following pictures is closest to the floor (format: width in cm x height in cm) A. 60 x 40 B. 120 x 50 C. 120 x 90 D E. 160 x Jane, Danielle and Hannah wanted to buy three identical hats. However, none of them had enough money to cover the price of one hat. Jane was short by a third of the price; Daniell by a fourth, and Hannah by a fifth. One week later, when there was a sale and the price of the hats was reduced by $9.40 per hat, the sisters combined their money and purchased all three hats, with no change left over. What was the price of one hat before the price reduction?

5 20. In the addition shown below A, B, C, and D are distinct digits. How many different values are possible for D? 21. Philip arranged the number 1, 2, 3,..., 11, 12 into six pairs so that the sum of the numbers in any pair is prime and no two of these primes are equal. Find the largest of these primes. 22. Each of 100 boxers has different strength, and in any match, the stronger boxer always wins. How many matches are needed to determine the strongest boxer and the second strongest one? 23. Pentagon ABCDE consists of a square ACDE and an equilateral triangle ABC that share the side AC. A circle centered at C has area 24. The intersection of the circle and the pentagon has half the area of the pentagon. Find the area of the pentagon. 24. The figure shows five circles A, B, C, D and E. They are to be painted, each in one color. Two circles joined by a line segment must have different colors. If five colors are available, how many different ways of painting are there? 25. On an island, frogs are always either green or blue. The number of blue frogs increased by 60% while the number of green frogs decreased by 60%. It turns out that the new ratio of blue frogs to green frogs is the same as the previous ratio in the opposite oder (green frogs to blue frogs). By what percentage did the overall number of frogs change? 26. Consider the set of all the 7-digit numbers that can be obtained using, for each number, all the digits 1, 2, 3,,7. List the numbers of the set in increasing order and split the list axactly at the middle into two parts of the same size. What is the last number of the first half?

6 27. Let ABC be the triangle such that AB = 6cm, AC = 8cm and BC = 10cm and M be the midpoint of BC. MADE is a square, and MD intersects AC at points F. Find the area of quadrilateral AFDE in cm Let [a] denote the largest integer not exceeding a. Find [S] if S = The sequence S1, S2, S3,, S10 has the property that every term beginning with the third is the sum of the previous two. That is, Sn = Sn 2 + Sn 1 for n 3. Suppose that S9 = 110 and S7 = 42. What is S4? 30. Danica drove her new car on a trip for a whole number of hours, averaging 55 miles per hour. At the beginning of the trip, abc miles were displayed on the odometer, where abc is a 3-digit number with a 1 and a + b + c 7. At the end of the trip, the odometer showed cba miles. What is a 2 + b 2 + c 2? THE END - Good luck to YOU

7 Name of Participant: Index No: Name of School: Asia Pacific Mathematical Olympiad for Primary Schools 2016 HANOI STAR - APMOPS 2016 Training - Pre Test1 - Answer Sheet No Answers No Answers No Answers Questions 1 to 10 each carries 4 marks Questions 11 to 20 each carries 5 marks Questions 21 to 30 each carries 6 marks THE END - Good luck to YOU

HEXAGON. Singapore-Asia Pacific Mathematical Olympiad for Primary Schools (Mock Test for APMOPS 2012) Pham Van Thuan

HEXAGON. Singapore-Asia Pacific Mathematical Olympiad for Primary Schools (Mock Test for APMOPS 2012) Pham Van Thuan HEXAGON inspiring minds always Singapore-Asia Pacific Mathematical Olympiad for Primary Schools (Mock Test for APMOPS 2012) Practice Problems for APMOPS 2012, First Round 1 Suppose that today is Tuesday.

More information

1. Express the reciprocal of 0.55 as a common fraction. 1.

1. Express the reciprocal of 0.55 as a common fraction. 1. Blitz, Page 1 1. Express the reciprocal of 0.55 as a common fraction. 1. 2. What is the smallest integer larger than 2012? 2. 3. Each edge of a regular hexagon has length 4 π. The hexagon is 3. units 2

More information

Geometry 2001 part 1

Geometry 2001 part 1 Geometry 2001 part 1 1. Point is the center of a circle with a radius of 20 inches. square is drawn with two vertices on the circle and a side containing. What is the area of the square in square inches?

More information

0810ge. Geometry Regents Exam y # (x $ 3) 2 % 4 y # 2x $ 5 1) (0,%4) 2) (%4,0) 3) (%4,%3) and (0,5) 4) (%3,%4) and (5,0)

0810ge. Geometry Regents Exam y # (x $ 3) 2 % 4 y # 2x $ 5 1) (0,%4) 2) (%4,0) 3) (%4,%3) and (0,5) 4) (%3,%4) and (5,0) 0810ge 1 In the diagram below, ABC! XYZ. 3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm. Which two statements

More information

Daniel Plotnick. November 5 th, 2017 Mock (Practice) AMC 8 Welcome!

Daniel Plotnick. November 5 th, 2017 Mock (Practice) AMC 8 Welcome! November 5 th, 2017 Mock (Practice) AMC 8 Welcome! 2011 = prime number 2012 = 2 2 503 2013 = 3 11 61 2014 = 2 19 53 2015 = 5 13 31 2016 = 2 5 3 2 7 1 2017 = prime number 2018 = 2 1009 2019 = 3 673 2020

More information

3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm.

3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm. 1 In the diagram below, ABC XYZ. 3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm. Which two statements identify

More information

KSF selected problems Student

KSF selected problems Student 3 point problems 1. Andrea was born in 1997, her younger sister Charlotte in 2001. The age difference of the two sisters is therefore in any case. (A) less than 4 years (B) at least 4 years (C) exactly

More information

UNC Charlotte 2012 Comprehensive

UNC Charlotte 2012 Comprehensive March 5, 2012 1. In the English alphabet of capital letters, there are 15 stick letters which contain no curved lines, and 11 round letters which contain at least some curved segment. How many different

More information

2. Here are some triangles. (a) Write down the letter of the triangle that is. right-angled, ... (ii) isosceles. ... (2)

2. Here are some triangles. (a) Write down the letter of the triangle that is. right-angled, ... (ii) isosceles. ... (2) Topic 8 Shapes 2. Here are some triangles. A B C D F E G (a) Write down the letter of the triangle that is (i) right-angled,... (ii) isosceles.... (2) Two of the triangles are congruent. (b) Write down

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 8 2011 Tennessee Middle/Junior High School Mathematics Competition 1 of 8 1. Lynn took a 10-question test. The first four questions were true-false. The last six questions were multiple choice--each

More information

First Step Program (Std V) Preparatory Program- Ganit Pravinya Test Paper Year 2013

First Step Program (Std V) Preparatory Program- Ganit Pravinya Test Paper Year 2013 First Step Program (Std V) Preparatory Program- Ganit Pravinya Test Paper Year 2013 Solve the following problems with Proper Procedure and Explanation. 1. Solve : 1 1 5 (7 3) 4 20 3 4 4 4 4 2. Find Value

More information

The problems in this booklet are organized into strands. A problem often appears in multiple strands. The problems are suitable for most students in

The problems in this booklet are organized into strands. A problem often appears in multiple strands. The problems are suitable for most students in The problems in this booklet are organized into strands. A problem often appears in multiple strands. The problems are suitable for most students in Grade 7 or higher. Problem C Totally Unusual The dice

More information

Math 9 - Similar and Transformations Unit Assignment

Math 9 - Similar and Transformations Unit Assignment Math 9 - Similar and Transformations Unit Assignment Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine the scale factor for this scale diagram.

More information

Winter Quarter Competition

Winter Quarter Competition Winter Quarter Competition LA Math Circle (Advanced) March 13, 2016 Problem 1 Jeff rotates spinners P, Q, and R and adds the resulting numbers. What is the probability that his sum is an odd number? Problem

More information

wizprof Good luck and most of all have fun.! you may use 75 minutes calculators are not allowed

wizprof Good luck and most of all have fun.! you may use 75 minutes calculators are not allowed www.wijsen.nl www.e-nemo.nl www.education.ti.com wiprof 208 WWW.W4KANGOEROE.NL Good luck and most of all have fun.! Stichting Wiskunde Kangoeroe www.smart.be www.sanderspuelboeken.nl www.schoolsupport.nl

More information

2006 Pascal Contest (Grade 9)

2006 Pascal Contest (Grade 9) Canadian Mathematics Competition An activity of the Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario 2006 Pascal Contest (Grade 9) Wednesday, February 22, 2006

More information

2018 AMC 10B. Problem 1

2018 AMC 10B. Problem 1 2018 AMC 10B Problem 1 Kate bakes 20-inch by 18-inch pan of cornbread. The cornbread is cut into pieces that measure 2 inches by 2 inches. How many pieces of cornbread does the pan contain? Problem 2 Sam

More information

25 C3. Rachel gave half of her money to Howard. Then Howard gave a third of all his money to Rachel. They each ended up with the same amount of money.

25 C3. Rachel gave half of her money to Howard. Then Howard gave a third of all his money to Rachel. They each ended up with the same amount of money. 24 s to the Olympiad Cayley Paper C1. The two-digit integer 19 is equal to the product of its digits (1 9) plus the sum of its digits (1 + 9). Find all two-digit integers with this property. If such a

More information

40 th JUNIOR HIGH SCHOOL MATHEMATICS CONTEST MAY 4, 2016

40 th JUNIOR HIGH SCHOOL MATHEMATICS CONTEST MAY 4, 2016 THE CALGARY MATHEMATICAL ASSOCIATION 40 th JUNIOR HIGH SCHOOL MATHEMATICS CONTEST MAY 4, 2016 NAME: PLEASE PRINT (First name Last name) GENDER: SCHOOL: GRADE: (9,8,7,...) You have 90 minutes for the examination.

More information

TOURNAMENT ROUND. Round 1

TOURNAMENT ROUND. Round 1 Round 1 1. Find all prime factors of 8051. 2. Simplify where x = 628,y = 233,z = 340. [log xyz (x z )][1+log x y +log x z], 3. In prokaryotes, translation of mrna messages into proteins is most often initiated

More information

HIGH SCHOOL - PROBLEMS

HIGH SCHOOL - PROBLEMS PURPLE COMET! MATH MEET April 2013 HIGH SCHOOL - PROBLEMS Copyright c Titu Andreescu and Jonathan Kane Problem 1 Two years ago Tom was 25% shorter than Mary. Since then Tom has grown 20% taller, and Mary

More information

Twenty Mathcounts Target Round Tests Test 1 MATHCOUNTS. Mock Competition One. Target Round. Name. State

Twenty Mathcounts Target Round Tests Test 1 MATHCOUNTS. Mock Competition One. Target Round. Name. State MATHCOUNTS Mock Competition One Target Round Name State DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. This section of the competition consists of eight problems, which will be presented in pairs. Work

More information

International Contest-Game MATH KANGAROO Canada, 2007

International Contest-Game MATH KANGAROO Canada, 2007 International Contest-Game MATH KANGAROO Canada, 007 Grade 9 and 10 Part A: Each correct answer is worth 3 points. 1. Anh, Ben and Chen have 30 balls altogether. If Ben gives 5 balls to Chen, Chen gives

More information

The problems in this booklet are organized into strands. A problem often appears in multiple strands. The problems are suitable for most students in

The problems in this booklet are organized into strands. A problem often appears in multiple strands. The problems are suitable for most students in The problems in this booklet are organized into strands. A problem often appears in multiple strands. The problems are suitable for most students in Grade 7 or higher. Problem C Retiring and Hiring A

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

Elizabeth City State University Elizabeth City, North Carolina27909 STATE REGIONAL MATHEMATICS CONTEST COMPREHENSIVE TEST BOOKLET

Elizabeth City State University Elizabeth City, North Carolina27909 STATE REGIONAL MATHEMATICS CONTEST COMPREHENSIVE TEST BOOKLET Elizabeth City State University Elizabeth City, North Carolina27909 2014 STATE REGIONAL MATHEMATICS CONTEST COMPREHENSIVE TEST BOOKLET Directions: Each problem in this test is followed by five suggested

More information

3. Rewriting the given integer, = = so x = 5, y = 2 and z = 1, which gives x+ y+ z =8.

3. Rewriting the given integer, = = so x = 5, y = 2 and z = 1, which gives x+ y+ z =8. 2004 Gauss Contest - Grade Solutions Part A 1. 25% of 2004 is 1 4 of 2004, or 501. 2. Using a common denominator, + 3 5 = 4 + = 1 2 4 6 5 5 3. Rewriting the given integer, 00 670 = 00 000 + 600 + 70 =

More information

KS specimen papers

KS specimen papers KS4 2016 specimen papers OCR H3 specimen 14 A straight line goes through the points (p, q) and (r, s), where p + 2 = r q + 4 = s. Find the gradient of the line. AQA F3 H3 specimen 21 When x² = 16 the only

More information

1. If one side of a regular hexagon is 2 inches, what is the perimeter of the hexagon?

1. If one side of a regular hexagon is 2 inches, what is the perimeter of the hexagon? Geometry Grade 4 1. If one side of a regular hexagon is 2 inches, what is the perimeter of the hexagon? 2. If your room is twelve feet wide and twenty feet long, what is the perimeter of your room? 3.

More information

KSF selected problems Junior (A) 100 (B) 1000 (C) (D) (E)

KSF selected problems Junior (A) 100 (B) 1000 (C) (D) (E) 3 point problems 1. Which of the following numbers is closest to 20.15 51.02? (A) 100 (B) 1000 (C) 10000 (D) 100000 (E) 1000000 2. Mother did the laundry and hanged t-shirts in line on a clothing line.

More information

2009 Philippine Elementary Mathematics International Contest Page 1

2009 Philippine Elementary Mathematics International Contest Page 1 2009 Philippine Elementary Mathematics International Contest Page 1 Individual Contest 1. Find the smallest positive integer whose product after multiplication by 543 ends in 2009. It is obvious that the

More information

(1) 2 x 6. (2) 5 x 8. (3) 9 x 12. (4) 11 x 14. (5) 13 x 18. Soln: Initial quantity of rice is x. After 1st customer, rice available In the Same way

(1) 2 x 6. (2) 5 x 8. (3) 9 x 12. (4) 11 x 14. (5) 13 x 18. Soln: Initial quantity of rice is x. After 1st customer, rice available In the Same way 1. A shop stores x kg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. Then the third customer also buys

More information

UK Junior Mathematical Challenge

UK Junior Mathematical Challenge UK Junior Mathematical Challenge THURSDAY 28th APRIL 2016 Organised by the United Kingdom Mathematics Trust from the School of Mathematics, University of Leeds http://www.ukmt.org.uk Institute and Faculty

More information

SOUTH AFRICAN MATHEMATICS OLYMPIAD

SOUTH AFRICAN MATHEMATICS OLYMPIAD SOUTH AFRICAN MATHEMATICS OLYMPIAD Organised by the SOUTH AFRICAN MATHEMATICS FOUNDATION 200 SECOND ROUND SENIOR SECTION: GRADES 0, AND 2 8 May 200 Time: 20 minutes Number of questions: 20 Instructions.

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

Western Australian Junior Mathematics Olympiad 2017

Western Australian Junior Mathematics Olympiad 2017 Western Australian Junior Mathematics Olympiad 2017 Individual Questions 100 minutes General instructions: Except possibly for Question 12, each answer in this part is a positive integer less than 1000.

More information

Team Round University of South Carolina Math Contest, 2018

Team Round University of South Carolina Math Contest, 2018 Team Round University of South Carolina Math Contest, 2018 1. This is a team round. You have one hour to solve these problems as a team, and you should submit one set of answers for your team as a whole.

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

Downloaded from

Downloaded from Understanding Elementary Shapes 1 1.In the given figure, lines l and m are.. to each other. (A) perpendicular (B) parallel (C) intersect (D) None of them. 2.a) If a clock hand starts from 12 and stops

More information

Directorate of Education

Directorate of Education Directorate of Education Govt. of NCT of Delhi Worksheets for the Session 2012-2013 Subject : Mathematics Class : VI Under the guidance of : Dr. Sunita S. Kaushik Addl. DE (School / Exam) Coordination

More information

UKMT UKMT. Team Maths Challenge 2015 Regional Final. Group Round UKMT. Instructions

UKMT UKMT. Team Maths Challenge 2015 Regional Final. Group Round UKMT. Instructions Instructions Your team will have 45 minutes to answer 10 questions. Each team will have the same questions. Each question is worth a total of 6 marks. However, some questions are easier than others! Do

More information

19! = 1, st July. On the grid is one side of a quadrilateral with 3 acute angles. Complete the quadrilateral

19! = 1, st July. On the grid is one side of a quadrilateral with 3 acute angles. Complete the quadrilateral 1st July 19! = 1,000 750 822 On the grid is one side of a quadrilateral with 3 acute angles. Complete the quadrilateral Georgia and Emma share 40 sweets in the ratio 3:5. How many sweets does Emma get?

More information

CBSE Sample Paper Class 10 Mathematicss

CBSE Sample Paper Class 10 Mathematicss CBSE Sample Paper Class 10 Mathematicss 1] In the given figure, the respective values of y and x are 30 o and 45 o 60 o and 45 45 o and 60 o 60 o and 30 o 2] The next term of the given series would be

More information

(A) Circle (B) Polygon (C) Line segment (D) None of them (A) (B) (C) (D) (A) Understanding Quadrilaterals <1M>

(A) Circle (B) Polygon (C) Line segment (D) None of them (A) (B) (C) (D) (A) Understanding Quadrilaterals <1M> Understanding Quadrilaterals 1.A simple closed curve made up of only line segments is called a (A) Circle (B) Polygon (C) Line segment (D) None of them 2.In the following figure, which of the polygon

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

GOING FOR GOLD. Problem Solving Bronze Paper 1. Q Topic My Mark Maximum Marks. 1 Ratio 4. 2 Probability 5. 3 Polygons 4. 4 Area 4.

GOING FOR GOLD. Problem Solving Bronze Paper 1. Q Topic My Mark Maximum Marks. 1 Ratio 4. 2 Probability 5. 3 Polygons 4. 4 Area 4. GOING FOR GOLD Problem Solving Bronze Paper 1 Q Topic My Mark Maximum Marks 1 Ratio 4 2 Probability 5 3 Polygons 4 4 Area 4 5 Pythagoras 5 6 Forming and solving equations 5 7 Percentages 5 8 Circle 4 9

More information

QUESTION 4(1) 4(F) 5(1) 5(F) 6(1) 6(F) 7(1) 7(F) VRAAG

QUESTION 4(1) 4(F) 5(1) 5(F) 6(1) 6(F) 7(1) 7(F) VRAAG MEMORANDUM 20 QUESTION () (F) 5() 5(F) 6() 6(F) 7() 7(F) VRAAG D E C A B B B A 2 B B B B A B C D 2 A B C A E C B B E C C B E E A C 5 C C C E E D A B 5 6 E B D B D C D D 6 7 D C B B D A A B 7 8 B B E A

More information

2017 Houston ISD Middle School Mathematics Test A Contest

2017 Houston ISD Middle School Mathematics Test A Contest 2017 Houston ISD Middle School Mathematics Test A Contest (1) 2 5 + 2 4 + 2 3 + 2 2 + 2 1 + 2 0 = A) 63 B) 62 C) 61 D) 56 E) 55 (2) Twenty-four percent of twenty-five is A) 60 B) 104 1 6 C) 96 D) 96 1

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

32 nd NEW BRUNSWICK MATHEMATICS COMPETITION

32 nd NEW BRUNSWICK MATHEMATICS COMPETITION UNIVERSITY OF NEW BRUNSWICK UNIVERSITÉ DE MONCTON 32 nd NEW BRUNSWICK MATHEMATICS COMPETITION Friday, May 9, 2014 GRADE 7 INSTRUCTIONS TO THE STUDENT: 1. Do not start the examination until you are told

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

2014 WMI Competition Grade 5 Part 1 Logical Reasoning Test

2014 WMI Competition Grade 5 Part 1 Logical Reasoning Test 014 WMI Competition Grade 5 Part 1 Logical Reasoning Test Five Points Each. Total 150 Points. Choose the best answer from (A) (D). 1. Compute (13579+35791+57913+79135+91357) 5. (A) 33333 (B) 55555 (C)

More information

(A) Circle (B) Polygon (C) Line segment (D) None of them

(A) Circle (B) Polygon (C) Line segment (D) None of them Understanding Quadrilaterals 1.The angle between the altitudes of a parallelogram, through the same vertex of an obtuse angle of the parallelogram is 60 degree. Find the angles of the parallelogram.

More information

h r c On the ACT, remember that diagrams are usually drawn to scale, so you can always eyeball to determine measurements if you get stuck.

h r c On the ACT, remember that diagrams are usually drawn to scale, so you can always eyeball to determine measurements if you get stuck. ACT Plane Geometry Review Let s first take a look at the common formulas you need for the ACT. Then we ll review the rules for the tested shapes. There are also some practice problems at the end of this

More information

Georgia Tech HSMC 2010

Georgia Tech HSMC 2010 Georgia Tech HSMC 2010 Junior Varsity Multiple Choice February 27 th, 2010 1. A box contains nine balls, labeled 1, 2,,..., 9. Suppose four balls are drawn simultaneously. What is the probability that

More information

Western Australian Junior Mathematics Olympiad 2007

Western Australian Junior Mathematics Olympiad 2007 Western Australian Junior Mathematics Olympiad 2007 Individual Questions 100 minutes General instructions: Each solution in this part is a positive integer less than 100. No working is needed for Questions

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

GENIUS-CUP FINAL FORM TWO

GENIUS-CUP FINAL FORM TWO MATHEMATICS- ALGEBRA 1. Let p, q, r be positive integers and p + 1 = 26 q+ 1 21 r, which of the following is equal to p.q.r? A) 18 B) 20 C) 22 D) 24 3. What is the value of 4 (-1+2-3+4-5+6-7+ +1000)? A)

More information

Kangaroo 2017 Student lukio

Kangaroo 2017 Student lukio sivu 1 / 9 NAME CLASS Points: Kangaroo leap: Separate this answer sheet from the test. Write your answer under each problem number. A right answer gives 3, 4 or 5 points. Every problem has exactly one

More information

Mathworks Math Contest (MMC) For Middle School Students October 29, 2013

Mathworks Math Contest (MMC) For Middle School Students October 29, 2013 Mathworks Math Contest (MMC) For Middle School Students October 29, 2013 SCORE (for Mathworks use) STUDENT COVER SHEET Please write in all information neatly and clearly to ensure proper grading. Thank

More information

UK Intermediate Mathematical Challenge Thursday 2nd February 2017 Organised by the United Kingdom Mathematics Trust and supported by

UK Intermediate Mathematical Challenge Thursday 2nd February 2017 Organised by the United Kingdom Mathematics Trust and supported by UK Intermediate Mathematical Challenge Thursday 2nd February 2017 Organised by the United Kingdom Mathematics Trust and supported by Institute and Faculty of Actuaries 1 Rules and Guidelines (to be read

More information

1999 Mathcounts National Sprint Round Solutions

1999 Mathcounts National Sprint Round Solutions 999 Mathcounts National Sprint Round Solutions. Solution: 5. A -digit number is divisible by if the sum of its digits is divisible by. The first digit cannot be 0, so we have the following four groups

More information

7. Three friends each order a large

7. Three friends each order a large 005 MATHCOUNTS CHAPTER SPRINT ROUND. We are given the following chart: Cape Bangkok Honolulu London Town Bangkok 6300 6609 5944 Cape 6300,535 5989 Town Honolulu 6609,535 740 London 5944 5989 740 To find

More information

2. A number x is 2 more than the product of its reciprocal and its additive inverse. In which interval does the number lie?

2. A number x is 2 more than the product of its reciprocal and its additive inverse. In which interval does the number lie? 2 nd AMC 2001 2 1. The median of the list n, n + 3, n + 4, n + 5, n + 6, n + 8, n +, n + 12, n + 15 is. What is the mean? (A) 4 (B) 6 (C) 7 (D) (E) 11 2. A number x is 2 more than the product of its reciprocal

More information

Solutions of problems for grade R5

Solutions of problems for grade R5 International Mathematical Olympiad Formula of Unity / The Third Millennium Year 016/017. Round Solutions of problems for grade R5 1. Paul is drawing points on a sheet of squared paper, at intersections

More information

Bronze. Instructions. Information

Bronze. Instructions. Information Bronze Instructions Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name, centre number and candidate number. Answer ALL questions. Answer the questions in the spaces

More information

Pascal Contest (Grade 9)

Pascal Contest (Grade 9) Canadian Mathematics Competition An activity of The Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario Pascal Contest (Grade 9) Wednesday, February 0, 00 C.M.C.

More information

Whatcom County Math Championship 2016 Individual 4 th Grade

Whatcom County Math Championship 2016 Individual 4 th Grade Whatcom County Math Championship 201 Individual 4 th Grade 1. If 2 3 is written as a mixed fraction, what is the difference between the numerator and the denominator? 2. Write 0.92 as a reduced fraction.

More information

A) 15 B) 13 C) 11 D) 9 E) 8

A) 15 B) 13 C) 11 D) 9 E) 8 Junior: Class (9-0) 3-Point-Problems Q: Asif, Usman and Sami have 30 balls together. If Usman gives 5 to Sami, Sami gives 4 to Asif and Asif gives to Usman, then the boys will have the same number of balls.

More information

EVALUATE- work out CALCULATE work out EXPRESS show PRODUCT- multiply SUM/TOTAL- add SIMPLIFY make easier

EVALUATE- work out CALCULATE work out EXPRESS show PRODUCT- multiply SUM/TOTAL- add SIMPLIFY make easier EVALUATE- work out CALCULATE work out EXPRESS show PRODUCT- multiply SUM/TOTAL- add SIMPLIFY make easier A number with only 2 factors- 1 and itself 2 3 5 7 11 13 17 19 23 29 31 37 41 (Note 1 is not a prime

More information

Part A (C) What is the remainder when is divided by 11? (A) 0 (B) 1 (C) 3 (D) 7 (E) 10 (A) 35 (B) 40 (C) 45 (D) 50 (E) 55

Part A (C) What is the remainder when is divided by 11? (A) 0 (B) 1 (C) 3 (D) 7 (E) 10 (A) 35 (B) 40 (C) 45 (D) 50 (E) 55 Grade 8, page 1 of 6 Part A 1. The value of ( 1 + 1 ) ( 1 + 1 ) ( 1 + 1 ) is 2 3 4 (A) 11 24 (B) 3 4 (C) 5 2 (D) 3 (E) 73 24 2. What is the remainder when 111 111 111 is divided by 11? (A) 0 (B) 1 (C)

More information

MATHCOUNTS Chapter Competition Sprint Round Problems 1 30 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO.

MATHCOUNTS Chapter Competition Sprint Round Problems 1 30 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. MATHCOUNTS 2006 Chapter Competition Sprint Round Problems 1 0 Name DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. This section of the competition consists of 0 problems. You will have 40 minutes to complete

More information

4. The terms of a sequence of positive integers satisfy an+3 = an+2(an+1 + an), for n = 1, 2, 3,... If a6 = 8820, what is a7?

4. The terms of a sequence of positive integers satisfy an+3 = an+2(an+1 + an), for n = 1, 2, 3,... If a6 = 8820, what is a7? 1. If the numbers 2 n and 5 n (where n is a positive integer) start with the same digit, what is this digit? The numbers are written in decimal notation, with no leading zeroes. 2. At a movie theater,

More information

The London Independent Girls Schools Consortium. Group 1. Mathematics Entrance Examination

The London Independent Girls Schools Consortium. Group 1. Mathematics Entrance Examination Name. Present School The London Independent Girls Schools Consortium Group 1 Mathematics Entrance Examination 15 th January 2010 Time allowed: 1 hour 15 minutes Write in pencil. Do all your rough working

More information

Division of Mathematics Alfred University Alfred, NY 14802

Division of Mathematics Alfred University Alfred, NY 14802 Division of Mathematics Alfred University Alfred, NY 14802 Instructions: 1. This competition will last seventy-five minutes from 10:05 to 11:20. 2. The use of calculators is not permitted. 3. There are

More information

Euclid Contest Tuesday, April 15, 2014 (in North America and South America)

Euclid Contest Tuesday, April 15, 2014 (in North America and South America) The CENTRE for EDUCTION in MTHEMTICS and COMPUTING cemc.uwaterloo.ca Euclid Contest Tuesday, pril 15, 2014 (in North merica and South merica) Wednesday, pril 16, 2014 (outside of North merica and South

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

Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 5 7. satspapers.org

Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 5 7. satspapers.org Ma KEY STAGE 3 Mathematics test TIER 5 7 Paper 1 Calculator not allowed First name Last name School 2009 Remember The test is 1 hour long. You must not use a calculator for any question in this test. You

More information

UK Junior Mathematical Olympiad 2017

UK Junior Mathematical Olympiad 2017 UK Junior Mathematical Olympiad 2017 Organised by The United Kingdom Mathematics Trust Tuesday 13th June 2017 RULES AND GUIDELINES : READ THESE INSTRUCTIONS CAREFULLY BEFORE STARTING 1. Time allowed: 2

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

Indicate whether the statement is true or false.

Indicate whether the statement is true or false. MATH 121 SPRING 2017 - PRACTICE FINAL EXAM Indicate whether the statement is true or false. 1. Given that point P is the midpoint of both and, it follows that. 2. If, then. 3. In a circle (or congruent

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

A. 100 B. 110 C. 115 D. 145 E. 210

A. 100 B. 110 C. 115 D. 145 E. 210 Practice Quiz Polygons Area Perimeter Volume 1. Two angles of a hexagon measure 140 each. The other four angles are equal in measure. What is the measure of each of the other four equal angles, in degrees?

More information

Meet #3 January Intermediate Mathematics League of Eastern Massachusetts

Meet #3 January Intermediate Mathematics League of Eastern Massachusetts Meet #3 January 2009 Intermediate Mathematics League of Eastern Massachusetts Meet #3 January 2009 Category 1 Mystery 1. How many two-digit multiples of four are there such that the number is still a

More information

Page 1 part 1 PART 2

Page 1 part 1 PART 2 Page 1 part 1 PART 2 Page 2 Part 1 Part 2 Page 3 part 1 Part 2 Page 4 Page 5 Part 1 10. Which point on the curve y x 2 1 is closest to the point 4,1 11. The point P lies in the first quadrant on the graph

More information

UNC Charlotte 2012 Algebra

UNC Charlotte 2012 Algebra March 5, 2012 1. In the English alphabet of capital letters, there are 15 stick letters which contain no curved lines, and 11 round letters which contain at least some curved segment. How many different

More information

Math Kangaroo 2002 Level of grades 7-8

Math Kangaroo 2002 Level of grades 7-8 1 of 5 www.mathkangaroo.com Math Kangaroo 2002 Level of grades 7-8 Problems 3 points each: 1. This year the International Competition in Mathematics Kangaroo takes places on March 21 st. How many prime

More information

5 th AMC 10 B How many two-digit positive integers have at least one 7 as a digit? (A) 10 (B) 18 (C) 19 (D) 20 (E) 30

5 th AMC 10 B How many two-digit positive integers have at least one 7 as a digit? (A) 10 (B) 18 (C) 19 (D) 20 (E) 30 5 th AMC 10 B 004 1. Each row of the Misty Moon Amphitheater has seats. Rows 1 through are reserved for a youth club. How many seats are reserved for this club? (A) 97 (B) 0 (C) 6 (D) 96 (E) 76. How many

More information

Paper Reference. Mathematics A Paper 3 (Non Calculator) Intermediate Tier Tuesday 8 June 2004 Afternoon Time: 2 hours

Paper Reference. Mathematics A Paper 3 (Non Calculator) Intermediate Tier Tuesday 8 June 2004 Afternoon Time: 2 hours Centre No. Paper Reference Surname Initial(s) Candidate No. 5503 03 Signature Paper Reference(s) 5503/03 Edexcel GCSE Mathematics A 1387 Paper 3 (Non Calculator) Intermediate Tier Tuesday 8 June 2004 Afternoon

More information

Year 9 mathematics: holiday revision. 2 How many nines are there in fifty-four?

Year 9 mathematics: holiday revision. 2 How many nines are there in fifty-four? DAY 1 ANSWERS Mental questions 1 Multiply seven by seven. 49 2 How many nines are there in fifty-four? 54 9 = 6 6 3 What number should you add to negative three to get the answer five? -3 0 5 8 4 Add two

More information

UNIVERSITY OF NORTHERN COLORADO MATHEMATICS CONTEST

UNIVERSITY OF NORTHERN COLORADO MATHEMATICS CONTEST UNIVERSITY OF NORTHERN COLORADO MATHEMATICS CONTEST First Round For all Colorado Students Grades 7-12 October 31, 2009 You have 90 minutes no calculators allowed The average of n numbers is their sum divided

More information

Name: Date: Time: Total marks available: Total marks achieved: Questions 1-11 Non Calculator Questions Calculator

Name: Date: Time: Total marks available: Total marks achieved: Questions 1-11 Non Calculator Questions Calculator Name: Date: Time: Total marks available: Total marks achieved: Questions 1-11 Non Calculator Questions 12-21 Calculator Questions Q1. Work out the area of this triangle....(total for Question is 3 marks)

More information

Mensuration. Chapter Introduction Perimeter

Mensuration. Chapter Introduction Perimeter Mensuration Chapter 10 10.1 Introduction When we talk about some plane figures as shown below we think of their regions and their boundaries. We need some measures to compare them. We look into these now.

More information

MATHEMATICS UNIT 2: CALCULATOR-ALLOWED FOUNDATION TIER

MATHEMATICS UNIT 2: CALCULATOR-ALLOWED FOUNDATION TIER Surname Centre Number Candidate Number Other Names 0 GCSE NEW 3300U20-1 S17-3300U20-1 MATHEMATICS UNIT 2: CALCULATOR-ALLOWED FOUNDATION TIER TUESDAY, 20 JUNE 2017 AFTERNOON 1 hour 30 minutes For s use

More information

Mathematics 43601F. Geometry. In the style of General Certificate of Secondary Education Foundation Tier. Past Paper Questions by Topic TOTAL

Mathematics 43601F. Geometry. In the style of General Certificate of Secondary Education Foundation Tier. Past Paper Questions by Topic TOTAL Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials In the style of General Certificate of Secondary Education Foundation Tier Pages 2 3 4 5 Mark

More information

Relax, Have Fun, and Good Luck!

Relax, Have Fun, and Good Luck! Good Morning and Welcome to the 2008 Calcu-Solve Competition! We hope you have a challenging and successful day! While we are waiting for all the teams to arrive, please: 1. Put your coats and lunches

More information

Choose a circle to show how much each sentence is like you. Very Unlike Me. Unlike Me. Like Me. 01. I like maths at school. 02. I am good at maths.

Choose a circle to show how much each sentence is like you. Very Unlike Me. Unlike Me. Like Me. 01. I like maths at school. 02. I am good at maths. Choose a circle to show how much each sentence is like you Very Unlike Me Unlike Me Like Me Very Like Me 1 2 3 4 01. I like maths at school. 02. I am good at maths. 03. My teacher thinks I am good at maths.

More information

Applications of Mathematics (Linked Pair)

Applications of Mathematics (Linked Pair) Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Pages Mark General Certificate of Secondary Education Foundation Tier June 2015 Applications

More information

1. Algebra Grade 8 A-2

1. Algebra Grade 8 A-2 1. Algebra Grade 8 A-2 A friend of yours did not understand how to evaluate each of the following on a quiz. m + 3 3 when m = 2 1 4 2 5n - 12.3 when n = 8.6 (p - 6) when p = -15 1. Write a step by step

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