# 允許學生個人 非營利性的圖書館或公立學校合理使用本基金會網站所提供之各項試題及其解答 可直接下載而不須申請. 重版 系統地複製或大量重製這些資料的任何部分, 必須獲得財團法人臺北市九章數學教育基金會的授權許可 申請此項授權請電郵

Size: px
Start display at page:

## Transcription

1 注意 : 允許學生個人 非營利性的圖書館或公立學校合理使用本基金會網站所提供之各項試題及其解答 可直接下載而不須申請 重版 系統地複製或大量重製這些資料的任何部分, 必須獲得財團法人臺北市九章數學教育基金會的授權許可 申請此項授權請電郵 Notice: Individual students, nonprofit libraries, or schools are permitted to make fair use of the papers and its solutions. Republication, systematic copying, or multiple reproduction of any part of this material is permitted only under license from the Chiuchang Mathematics Foundation. Requests for such permission should be made by ing Mr. Wen-Hsien SUN

2 Intermediate Division Questions 1 to 10, 3 marks each equals (A) 642 (B) 2016 (C) 6022 (D) 6032 (E) In the diagram below, what is the value, in degrees, of angle x? 85 x 37 (A) 48 (B) 85 (C) 122 (D) 132 (E) If every digit of a whole number is either a 3 or a 5, the number will always be (A) divisible by 3 (B) divisible by 5 (C) prime (D) even (E) odd 4. The average of two numbers is twice the smaller number. The larger number is 12. What is the smaller number? (A) 2 (B) 3 (C) 4 (D) 6 (E) 8 5. The length of the base of a triangle is 3 times its perpendicular height and the area of the triangle is 24 cm 2. The sum of its base length and its perpendicular height, in centimetres, is (A) 12 (B) 13 (C) 14 (D) 15 (E) A regular icosahedron is a solid shape with twenty faces, where each face is directly opposite another face. I label the faces from 1 to 20 so that, for all pairs of opposite faces, the two labels in any pair always add up to the same number. What number is on the face opposite the one labelled 8? (A) 11 (B) 12 (C) 13 (D) 14 (E) 15

3 I 2 7. If p = 4b + 26 and b is a positive integer, then p could not be divisible by (A) 2 (B) 4 (C) 5 (D) 6 (E) 7 8. My two dogs were running on the beach when I called them back. The faster dog was 100 m away and the slower dog was 70 m away. The faster dog runs twice as fast as the slower dog. How far away was the second dog when the first dog reached me? (A) 15 m (B) 20 m (C) 30 m (D) 40 m (E) 50 m 9. The value of x x 2 when x = 2 3 is closest to (A) 0 (B) 1 (C) 2 (D) 3 (E) A piece of paper in the shape of an equilateral triangle has one corner folded over, as shown. 40 x What is the value of x? (A) 60 (B) 70 (C) 80 (D) 90 (E) 100 Questions 11 to 20, 4 marks each 11. Start with the number 1 and create the sequence 1, 2, 4, 8, 16, 22, 24, 28..., where each number is the sum of the previous number and its final digit. How many numbers in the sequence are less than 1000? (A) 10 (B) 100 (C) 101 (D) 200 (E) 201

4 I A six-sided dice has the numbers 1, 2, 2, 3, 3 and 3 on its faces. Two such dice are rolled and a score is made by adding the numbers on the uppermost faces. The probability of rolling an odd score is (A) 1 9 (B) 2 9 (C) 1 3 (D) 4 9 (E) If x 2 = x + 3, then x 3 equals (A) x + 6 (B) 2x + 6 (C) 3x + 9 (D) 4x + 3 (E) 27x The point T divides the side QR of the rectangle P QRS into two equal segments. The point U divides P Q such that P U : UQ = 1 : 2. Point V divides SP such that SV : V P = 1 : 3 and finally, point W divides RS such that RW : W S = 1 : 4. Find the area of the quadrilateral T UV W if the area of P QRS equals 120. V S W R T P U Q (A) 67 (B) 70 (C) 72 (D) 75 (E) Three line segments of lengths 1, a and 2a are the sides of a triangle. Which of the following defines all possible values of a? (A) 1 3 < a < 1 (B) 0 < a < 1 3 (C) a < 1 (D) for all a > 0 (E) for no a 16. The shaded segment in the circle below, centre O, has an area of 1 cm 2. The radius of the circle, in centimetres, is O (A) 4 π (B) 8 π (C) 4 π 2 (D) 4 π (E) 2 π

5 I Dan and Jane each have a measuring tape of length 1 m. Dan s tape got stuck in a door and was extended by 4 cm. Jane left her tape in a pocket and it shrank by 5 cm after washing. However, the centimetre marks on both tapes remained evenly distributed. Measuring the schoolyard, Dan noted the length as m. What length will Jane get measuring the same schoolyard with her tape? (A) 23 m (B) 24 m (C) 25 m (D) 26 m (E) 27 m 18. In the regular hexagon pictured, the midpoints of the sides are joined to form the shaded regular hexagon. What fraction of the larger hexagon is shaded? (A) 3 4 (B) 2 3 (C) 5 6 (D) 1 2 (E) A circular wheel of radius r rolls, without slipping, through half a revolution. The point X is on the horizontal diameter at the start. X X The distance between the starting and finishing position of the point X is (A) 2πr (B) (π + 2)r (C) (π 2)r (D) 2(π + 1)r (E) 2(π 1)r 20. The sport of bingbong involves two players. Each match consists of a number of rounds and each round consists of a number of points. The first player to win four points in a round wins the round. The first player to win six rounds in a match wins the match. Suppose that after a match of bingbong, the winner has won W points while the loser has won L points. What is the largest possible value of L W? (A) 6 (B) 4 (C) 0 (D) 12 (E) 14

6 I 5 Questions 21 to 25, 5 marks each 21. In how many ways can the numbers 1, 2, 3, 4, 5, 6 be arranged in a row so that the product of any two adjacent numbers is even? (A) 64 (B) 72 (C) 120 (D) 144 (E) Two circles, one of radius 1 and the other of radius 2, touch externally at P. A straight line through P cuts the area formed by these two circles in the ratio 1 : 2. In what ratio does this line cut the area of the smaller circle? P (A) 1 : 2 (B) 2 : 5 (C) 1 : 3 (D) 2 : 7 (E) 1 : How many positive integers n are there such that 2n + 1 is a divisor of 8n + 46? (A) 0 (B) 1 (C) 2 (D) 3 (E) The rectangle P QRS shown has P Q = 4, P S = 12 and centre C. The two shaded circles have radius 1 and touch P S at U and V where P U = 1 and P V = 4. The line CW divides the unshaded area in half. The length of P W is Q R C W P U V S (A) 2 7 (B) 2 5 (C) 1 4 (D) 1 3 (E) 1 2

7 I In 3013, King Warren of Australia is finally deposed. The five remaining earls argue about which one of them will be king, and which one of the others will be treasurer. Akaroa will be satisfied only if Darlinghurst or Erina is treasurer. Bairnsdale will be satisfied only if Claremont is treasurer. Claremont will be satisfied only if Darlinghurst is either king or treasurer. Darlinghurst will be satisfied only if Akaroa is either king or treasurer. Erina will be satisfied only if Akaroa is not king. It is not possible for all five to be satisfied, so in the end they appoint king and treasurer so that the other three earls are satisfied. Who becomes king? (A) Akaroa (B) Bairnsdale (C) Claremont (D) Darlinghurst (E) Erina For questions 26 to 30, shade the answer as an integer from 0 to 999 in the space provided on the answer sheet. Question 26 is 6 marks, question 27 is 7 marks, question 28 is 8 marks, question 29 is 9 marks and question 30 is 10 marks. 26. The 4-digit number pqrs has the property that pqrs 4 = srqp. If p = 2, what is the value of the 3-digit number qrs? 27. Three different non-zero digits are used to form six different 3-digit numbers. The sum of five of them is What is the sixth number? 28. A hockey game between two teams is relatively close if the number of goals scored by the two teams never differ by more than two. In how many ways can the first 12 goals of a game be scored if the game is relatively close? 29. How many pairs (a, b) of positive integers are there such that a and b are factors of 6 6 and a is a factor of b? 30. All the digits of the positive integer N are either 0 or 1. The remainder after dividing N by 37 is 18. What is the smallest number of times that the digit 1 can appear in N?

### 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

### Junior Division. Questions 1 to 10, 3 marks each (A) 1923 (B) 2003 (C) 2013 (D) 2023 (E) 2113 P Q R (A) 40 (B) 90 (C) 100 (D) 110 (E) 120

Junior Division Questions 1 to 10, 3 marks each 1. 1999 + 24 is equal to (A) 1923 (B) 2003 (C) 2013 (D) 2023 (E) 2113 2. P QR is a straight line. Find the value of x. 30 20 10 x P Q R (A) 40 (B) 90 (C)

### 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

### 2005 Galois Contest Wednesday, April 20, 2005

Canadian Mathematics Competition An activity of the Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario 2005 Galois Contest Wednesday, April 20, 2005 Solutions

### Notice: Individual students, nonprofit libraries, or schools are permitted to make fair use of the papers and its solutions.

Notice: Individual students, nonprofit libraries, or schools are permitted to make fair use of the papers and its solutions. Republication, systematic copying, or multiple reproduction of any part of this

The CENTRE for EDUCATION in MATHEMATICS and COMPUTING cemc.uwaterloo.ca Pascal Contest (Grade 9) Thursday, February 20, 201 (in North America and South America) Friday, February 21, 201 (outside of North

### Mathematics Paper 2. Stage minutes. Page Mark. Name.. Additional materials: Ruler Calculator Protractor READ THESE INSTRUCTIONS FIRST

1 55 minutes Mathematics Paper 2 Stage 7 Name.. Additional materials: Ruler Calculator Protractor READ THESE INSTRUCTIONS FIRST Answer all questions in the spaces provided on the question paper. You should

### 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

### APMOPS MOCK Test questions, 2 hours. No calculators used.

Titan Education APMOPS MOCK Test 2 30 questions, 2 hours. No calculators used. 1. Three signal lights were set to flash every certain specified time. The first light flashes every 12 seconds, the second

### HANOI STAR - APMOPS 2016 Training - PreTest1 First Round

Asia Pacific Mathematical Olympiad for Primary Schools 2016 HANOI STAR - APMOPS 2016 Training - PreTest1 First Round 2 hours (150 marks) 24 Jan. 2016 Instructions to Participants Attempt as many questions

### 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?

### 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/

### 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.

### 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

### 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

### 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

### 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

### 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

### Cayley Contest (Grade 10) Thursday, February 25, 2010

Canadian Mathematics Competition An activity of the Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario Cayley Contest (Grade 10) Thursday, February 2, 2010 Time:

### 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

### 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

### 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

### You need to be really accurate at this before trying the next task. Keep practicing until you can draw a perfect regular hexagon.

Starter 1: On plain paper practice constructing equilateral triangles using a ruler and a pair of compasses. Use a base of length 7cm. Measure all the sides and all the angles to check they are all the

Canadian Mathematics Competitions Gauss (Grades 7 & 8) s to All Past Problems: 1998 015 Compiled by www.facebook.com/eruditsng info@erudits.com.ng Twitter/Instagram: @eruditsng www.erudits.com.ng The CENTRE

### Mathematical Olympiads November 19, 2014

athematical Olympiads November 19, 2014 for Elementary & iddle Schools 1A Time: 3 minutes Suppose today is onday. What day of the week will it be 2014 days later? 1B Time: 4 minutes The product of some

### BmMT 2013 TEAM ROUND SOLUTIONS 16 November 2013

BmMT 01 TEAM ROUND SOLUTIONS 16 November 01 1. If Bob takes 6 hours to build houses, he will take 6 hours to build = 1 houses. The answer is 18.. Here is a somewhat elegant way to do the calculation: 1

### 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

### 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

### IMOK Maclaurin Paper 2014

IMOK Maclaurin Paper 2014 1. What is the largest three-digit prime number whose digits, and are different prime numbers? We know that, and must be three of,, and. Let denote the largest of the three digits,

### A u s t r a l i a n Ma t h e m a t i c s Co m p e t i t i o n

A u s t r a l i a n Ma t h e m a t i c s Co m p e t i t i o n a n a c t i v i t y o f t h e a u s t r a l i a n m a t h e m a t i c s t r u s t thursday 31 July 2008 intermediate Division Competition aper

### 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

### 2010 Pascal Contest (Grade 9)

Canadian Mathematics Competition n activity of the Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario 2010 Pascal Contest (Grade 9) Thursday, February 25, 2010

### 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

### Combinatorics: The Fine Art of Counting

Combinatorics: The Fine Art of Counting The Final Challenge Part One You have 30 minutes to solve as many of these problems as you can. You will likely not have time to answer all the questions, so pick

### Multiples and Divisibility

Multiples and Divisibility A multiple of a number is a product of that number and an integer. Divisibility: A number b is said to be divisible by another number a if b is a multiple of a. 45 is divisible

### junior Division Competition Paper

A u s t r a l i a n Ma t h e m a t i c s Co m p e t i t i o n a n a c t i v i t y o f t h e a u s t r a l i a n m a t h e m a t i c s t r u s t thursday 5 August 2010 junior Division Competition Paper

The CENTE for EDUCATION in MATHEMATIC and COMUTING www.cemc.uwaterloo.ca Fermat Contest (Grade 11) Thursday, February 23, 2012 (in North America and outh America) Friday, February 24, 2012 (outside of

### 1. Convert 60 mi per hour into km per sec. 2. Convert 3000 square inches into square yards.

ACT Practice Name Geo Unit 3 Review Hour Date Topics: Unit Conversions Length and Area Compound shapes Removing Area Area and Perimeter with radicals Isosceles and Equilateral triangles Pythagorean Theorem

### 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.

### intermediate Division Competition Paper

A u s t r a l i a n M at h e m at i c s C o m p e t i t i o n a n a c t i v i t y o f t h e a u s t r a l i a n m at h e m at i c s t r u s t thursday 4 August 2011 intermediate Division Competition Paper

### Key Stage 3 Mathematics. Common entrance revision

Key Stage 3 Mathematics Key Facts Common entrance revision Number and Algebra Solve the equation x³ + x = 20 Using trial and improvement and give your answer to the nearest tenth Guess Check Too Big/Too

### 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

### 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

### LIST OF HANDS-ON ACTIVITIES IN MATHEMATICS FOR CLASSES III TO VIII. Mathematics Laboratory

LIST OF HANDS-ON ACTIVITIES IN MATHEMATICS FOR CLASSES III TO VIII Mathematics Laboratory The concept of Mathematics Laboratory has been introduced by the Board in its affiliated schools with the objective

### SENIOR DIVISION COMPETITION PAPER

A u s t r a l i a n M at h e m at i c s C o m p e t i t i o n a n a c t i v i t y o f t h e a u s t r a l i a n m at h e m at i c s t r u s t THURSDAY 2 AUGUST 2012 NAME SENIOR DIVISION COMPETITION PAPER

### Mathematics Achievement

Section Mathematics Achievement 7 Questions Time: 0 minutes Each question is followed by four suggested answers. Read each question and then decide which one of the four suggested answers is best. Find

### Class : VI - Mathematics

O. P. JINDAL SCHOOL, RAIGARH (CG) 496 001 Phone : 07762-227042, 227293, (Extn. 227001-49801, 02, 04, 06); Fax : 07762-262613; e-mail: opjsraigarh@jspl.com; website : www.opjsrgh.in Class : VI - Mathematics

### 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

### 4th Pui Ching Invitational Mathematics Competition. Final Event (Secondary 1)

4th Pui Ching Invitational Mathematics Competition Final Event (Secondary 1) 2 Time allowed: 2 hours Instructions to Contestants: 1. 100 This paper is divided into Section A and Section B. The total score

### UK JUNIOR MATHEMATICAL CHALLENGE. April 25th 2013 EXTENDED SOLUTIONS

UK JUNIOR MATHEMATICAL CHALLENGE April 5th 013 EXTENDED SOLUTIONS These solutions augment the printed solutions that we send to schools. For convenience, the solutions sent to schools are confined to two

### 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

### 1999 Gauss Solutions 11 GRADE 8 (C) 1 5

1999 Gauss s 11 Part GRDE 8 3 1. 10 + 10 + 10 equals () 1110 () 101 010 (C) 111 (D) 100 010 010 (E) 11 010 3 10 + 10 + 10 = 1000 + 100 + 10 = 1110 NSWER: (). 1 1 + is equal to 3 () () 1 (C) 1 (D) 3 (E)

### UK SENIOR MATHEMATICAL CHALLENGE

UK SENIOR MATHEMATICAL CHALLENGE Tuesday 8 November 2016 Organised by the United Kingdom Mathematics Trust and supported by Institute and Faculty of Actuaries RULES AND GUIDELINES (to be read before starting)

### 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

### ORDER FORM 3A - Booth Packages Rental 訂購表格 3A - 攤位裝修設計租用

ORDER FORM 3A - Booth Packages Rental 訂購表格 3A - 攤位裝修設計租用 Post or fax to 請郵寄或傳真往 : Tel 電話 : (852) 3605 9551/ 3605 9615 Fax 傳真 : (852) 3605 9480 Optional 隨意交回 DEADLINE : January 8, 2016 截止日期 :2016 年 1 月

### American Math Competition 8 Practice Test 8

1. Cathy s shop class is making a golf trophy. She has to paint 600 dimples on a golf ball. If it takes him 4 seconds to paint one dimple, how many minutes will she need to do her job? (A) 4 (B) 6 (C)

### Figure 1: The Game of Fifteen

1 FIFTEEN One player has five pennies, the other five dimes. Players alternately cover a number from 1 to 9. You win by covering three numbers somewhere whose sum is 15 (see Figure 1). 1 2 3 4 5 7 8 9

### 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

### High School Math Contest. Prepared by the Mathematics Department of. Rose-Hulman Institute of Technology Terre Haute, Indiana.

High School Math Contest Prepared by the Mathematics Department of Rose-Hulman Institute of Technology Terre Haute, Indiana November 1, 016 Instructions: Put your name and home address on the back of your

### 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

### UK Junior Mathematical Challenge

UK Junior Mathematical Challenge THURSDAY 30th APRIL 2015 Organised by the United Kingdom Mathematics Trust from the School of Mathematics, University of Leeds Institute and Faculty of Actuaries RULES

### Paper 1. Mathematics test. Calculator not allowed KEY STAGE TIERS. First name. Last name. School

Ma KEY STAGE 3 TIERS 4 6 2006 Mathematics test Paper 1 Calculator not allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of

### 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

### 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

### Paper 1. Mathematics test. Calculator not allowed KEY STAGE TIERS. First name. Last name. School

Ma KEY STAGE 3 TIERS 5 7 2006 Mathematics test Paper 1 Calculator not allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of

### 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?.

### 12 Constructions and Loci

MEP Y9 Practice ook 12 onstructions and Loci 12.1 Recap: ngles and Scale Drawing The concepts in this unit rely heavily on knowledge acquired previously, particularly for angles and scale drawings, so

### THURSDAY 4 AUGUST 2011

AUSTRAllAN MATHEMAT1CS COMPET1T10N AN ACT1VlTY OF THE AUSTRALlAN MATHEMAT1CS TRUST THURSDAY 4 AUGUST 2011 GENERAL NSTRUCTONS AND NFORMATON 1. Do not open the booklet until told to do so by your teacher.

### 2012 UPPER PRIMARY PRELIMINARY ROUND PAPER Time allowed:75 minutes INSTRUCTION AND INFORMATION

International Mathematics Assessments for Schools 2012 UPPER PRIMARY PRELIMINARY ROUND PAPER Time allowed:75 minutes INSTRUCTION AND INFORMATION GENERAL 1. Do not open the booklet until told to do so by

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

### Paper Reference (complete below) Mathematics A Tuesday 10 June 2003 Morning Time: 2 hours

Centre No. Candidate No. Paper Reference (complete below) 5 5 0 4 0 4 Surname Signature Initial(s) Examiner s use only Paper Reference(s) 5504/04 Edexcel GCSE Mathematics A 1387 Paper 4 (Calculator) Intermediate

### 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)

### GENERAL RULES & REGULATIONS FOR THE 23 rd DA DUN FINE ARTS EXHIBITION OF TAICHUNG CITY

GENERAL RULES & REGULATIONS FOR THE 23 rd DA DUN FINE ARTS EXHIBITION OF TAICHUNG CITY 1. Purpose: To enhance international cultural exchanges and raise standards for artistic creation. 2. Organizers:

### 1. The sides of a cube are increased by 100%. By how many percent 1. percent does the volume of the cube increase?

Blitz, Page 1 1. The sides of a cube are increased by 100%. By how many percent 1. percent does the volume of the cube increase? 2. How many primes are there between 90 and 100? 2. 3. Approximately how

### Methods in Mathematics (Linked Pair Pilot)

Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Methods in Mathematics (Linked Pair Pilot) Unit 2 Geometry and Algebra Monday 11 November 2013

### Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 6 8. satspapers.org

Ma KEY STAGE 3 Mathematics test TIER 6 8 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

### THE NORTH LONDON INDEPENDENT GIRLS SCHOOLS CONSORTIUM MATHEMATICS

THE NORTH LONDON INDEPENDENT GIRLS SCHOOLS CONSORTIUM Group 2 YEAR 7 ENTRANCE EXAMINATION MATHEMATICS Friday 9 January 2015 Time allowed: 1 hour 15 minutes First Name:... Surname:... Instructions: Please

### MATHEMATICS MARKS PAGE TOTAL KEY STAGE LEVELS 3 5 TEST A CALCULATOR NOT ALLOWED. First Name. Last Name.

MATHEMATICS KEY STAGE 2 2001 TEST A LEVELS 3 5 CALCULATOR NOT ALLOWED PAGE 3 5 7 9 11 13 15 17 TOTAL MARKS First Name Last Name School Instructions You may not use a calculator to answer any questions

### March 5, What is the area (in square units) of the region in the first quadrant defined by 18 x + y 20?

March 5, 007 1. We randomly select 4 prime numbers without replacement from the first 10 prime numbers. What is the probability that the sum of the four selected numbers is odd? (A) 0.1 (B) 0.30 (C) 0.36

### 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.

### 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

### 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

### 2008 Gauss Contests (Grades 7 and 8)

Canadian Mathematics Competition An activity of the Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario 2008 Gauss Contests (Grades 7 and 8) Wednesday, May 14,

### 2005 Gauss Contests (Grades 7 and 8)

Canadian Mathematics Competition An activity of the Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario 005 Gauss Contests (Grades 7 and 8) Wednesday, May 11, 005

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.