# 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 Junior Division Questions 1 to 10, 3 marks each is equal to (A) 1923 (B) 2003 (C) 2013 (D) 2023 (E) P QR is a straight line. Find the value of x x P Q R (A) 40 (B) 90 (C) 100 (D) 110 (E) The value of the fraction 1 2 is closest to (A) 0.45 (B) 0.6 (C) 1 3 (D) 5 8 (E) Which of the following is equal to 20? (A) (B) (9 + 5) (C) 10 2 (D) (E) How many minutes are there between 8:37 am and 10:16 am? (A) 39 (B) 79 (C) 99 (D) 141 (E) Three squares each with an area of 25 cm 2 are placed side by side to form a rectangle. The perimeter, in centimetres, of the rectangle is (A) 20 (B) 36 (C) 40 (D) 75 (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 8. P is the point at 0.56 and Q is the point at 1.2 on a number line. The point which is halfway between P and Q is at (A) 0.34 (B) 0.64 (C) 0.83 (D) 0.88 (E) 0.93

3 J 2 9. If triangle ABC is isosceles with A = 40, what are all of the possible values for B? (A) 40 (B) 40 and 70 (C) 40 and 100 (D) 70 and 100 (E) 40, 70 and In Gwen s classroom, the desks are arranged in a grid. Each row has the same number of desks. Gwen s desk is third from the front, second from the back and has one desk to the left and four to the right. How many desks are there? (A) 20 (B) 24 (C) 25 (D) 28 (E) 30 Questions 11 to 20, 4 marks each 11. William travels to school in two different ways. Either he walks to school and takes the bus home, or he takes the bus to school and walks home. In each case his total travelling time is 40 minutes. If he were to take the bus both ways, his total travelling time would be 20 minutes. How many minutes would it take if he walked both ways? (A) 30 (B) 40 (C) 50 (D) 60 (E) The opposite faces on a standard dice add to give a total of 7. The game of Corners is played by rolling a dice and then choosing a vertex of the dice with your eyes closed. For example, the score for the vertex chosen below would be = 15. Which of the following scores is NOT possible when playing Corners? (A) 6 (B) 7 (C) 8 (D) 9 (E) 10

4 J 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) Beginning at the point A, Joel draws the spiral pattern of line segments below on a 1 cm grid. If he continues this pattern, how long, in centimetres, is the 97th segment? A (A) 46 (B) 47 (C) 48 (D) 49 (E) 50

5 J Sixteen discs are arranged in four rows of four. The discs have a number on one side and are either red or green on the other. The number shows how many discs touching that disc have green on the other side. Row one Row two Row three Row four Which of the following statements is true? (A) All of the rows have the same number of green discs. (B) Row one has more green discs than any other row. (C) Row two has more green discs than any other row. (D) Row three has fewer green discs than any other row. (E) Row four has fewer green discs than any other row. 16. While shopping this week I misread my shopping list and bought 5 loaves of bread and 2 bottles of milk. So I went back to the supermarket, got a full refund, and bought 2 loaves of bread and 5 bottles of milk. This cost me \$4.20 less than my first purchase. How do the prices of bread and milk compare? (A) A loaf of bread costs \$1.40 more than a bottle of milk. (B) A loaf of bread costs \$0.60 more than a bottle of milk. (C) A loaf of bread costs \$0.42 more than a bottle of milk. (D) A loaf of bread costs \$0.60 less than a bottle of milk. (E) A loaf of bread costs \$1.40 less than a bottle of milk. 17. Starting with the number 0 on my calculator, I do a calculation in five steps. At each step, I either add 1 or multiply by 2. What is the smallest number that cannot be the final result? (A) 11 (B) 10 (C) 9 (D) 8 (E) 7

6 J The three squares in the figure below are the same size. Find the value, in degrees, of AMT. T M N S L D C A B (A) 45 (B) 50 (C) 55 (D) 60 (E) Eight 1 1 square tiles are laid as shown. Two more 1 1 tiles are added, so that at least one side of each new tile is shared with a side of the original shape. Several different perimeter lengths are now possible. What is the sum of the shortest and longest possible perimeter of the modified shape? (A) 28 (B) 30 (C) 32 (D) 34 (E) In the triangle P QR, S is a point on P R such that P QS and SQR are both isosceles triangles (as shown). Angle QP S is equal to angle SQR. Q x P x S R What is the value of x? (A) 30 (B) 36 (C) 40 (D) 45 (E) 48

7 J 6 Questions 21 to 25, 5 marks each 21. A biologist has a set of cages in a 4 4 array. He wants to put one mouse (black or white) into each cage in such a way that each mouse has at least one neighbour of each colour (neighbouring cages share a common wall). The black mice are more expensive, so he wants to use as few of them as possible. What is the smallest number of black mice that he needs? (A) 4 (B) 5 (C) 6 (D) 7 (E) Two discs have different numbers on each side as shown. 1 c b d The two sides of disc 1 The two sides of disc 2 The discs are flipped and they land on a table. The two numbers on the sides that are showing are added. If the possible sums that can be obtained in this way are 8, 9, 10 and 11, the sum b + c + d is (A) 8 (B) 18 (C) 20 (D) 27 (E) An oddie number is a 3-digit number with all three digits odd. The number of oddie numbers divisible by 3 is (A) 20 (B) 26 (C) 29 (D) 41 (E) 42

8 J Consider the following 4 4 squares with a 1 1 square deleted (shown in black). P Q R Consider tiling the squares P, Q and R using tiles like the one below. Which of the following statements is true? (A) Only P can be tiled this way. (B) Only Q can be tiled this way. (C) Only R can be tiled this way. (D) Only P and Q can be tiled this way. (E) All the shapes can be tiled this way. 25. A number is formed by writing the numbers 1 to 30 in order as shown Simeon removed 45 of these 51 digits leaving 6 in their original order to make the largest 6-digit number possible. What is the sum of the digits of this number? (A) 33 (B) 38 (C) 41 (D) 43 (E) 51 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. Consider a sequence of letters where each letter is A or B. We call the sequence stable if, when we tally the number of As and the number of Bs in the sequence, working from left to right, the difference is never greater than one. For example, the sequence ABBABA is stable but the sequence AABBAB is not, because after counting the first two letters, the difference is two. How many stable sequences with eighteen letters are there?

9 J Whenever Callum reads a date like 1/8/2013, he incorrectly interprets it as two divisions, with the second one evaluated before the first one: 1 (8 2013) = For some dates, like this one, he does not get an integer, while for others, like 28/7/2013, he gets 28 (7 2013) = 8052, an integer. How many dates this year (day/month/year) give him an integer? 28. What is the smallest positive integer that can be expressed as the sum of nine consecutive integers, the sum of ten consecutive integers and the sum of eleven consecutive integers? 29. Each of the four circles below has a whole number value. X is the value of the top-left circle. A number written on the figure indicates the product of the values of the circles it lies within. What is the value of X + k? X k 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?

### 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)

### 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

### 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

### 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

### 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

### 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:

### 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

### 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

### 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

### Pascal Contest (Grade 9) Wednesday, February 22, 2006

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 22, 2006 C.M.C.

### 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

### ENTRANCE EXAMINATIONS Time allowed: 1 hour and 30 minutes

ENTRANCE EXAMINATIONS 2017 MATHEMATICS FIRST FORM Time allowed: 1 hour and 30 minutes Answer ALL questions. Show all necessary working on the question paper in the spaces provided and write your answers

### 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

### 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.

### 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?.

### 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

### Year 5 Problems and Investigations Spring

Year 5 Problems and Investigations Spring Week 1 Title: Alternating chains Children create chains of alternating positive and negative numbers and look at the patterns in their totals. Skill practised:

### KS3 Revision work Level 4

KS3 Revision work Level 4. Number grids Here are the rules for a number grid. 2 This number is the sum of the numbers in the middle row. 0 2 20 This number is the product of the numbers in the middle row.

### Sample test questions All questions

Ma KEY STAGE 3 LEVELS 3 8 Sample test questions All questions 2003 Contents Question Level Attainment target Page Completing calculations 3 Number and algebra 3 Odd one out 3 Number and algebra 4 Hexagon

### 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

### UKMT UKMT UKMT. Junior Kangaroo Mathematical Challenge. Tuesday 13th June 2017

UKMT UKMT UKMT Junior Kangaroo Mathematical Challenge Tuesday 3th June 207 Organised by the United Kingdom Mathematics Trust The Junior Kangaroo allows students in the UK to test themselves on questions

### 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/

### 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.

### 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

### Do not duplicate or distribute without written permission from CMKC!

INTERNATIONAL CONTEST-GAME MATH KANGAROO CANADA, 2018 INSTRUCTIONS GRADE 5-12 1. You have 75 minutes to solve 0 multiple choice problems. For each problem, circle only one of the proposed five choices.

### 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)

### UKMT UKMT UKMT. Junior Kangaroo Mathematical Challenge. Tuesday 12th June 2018

UKMT UKMT UKMT Junior Kangaroo Mathematical Challenge Tuesday 2th June 208 Organised by the United Kingdom Mathematics Trust The Junior Kangaroo allows students in the UK to test themselves on questions

### 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

### THE NORTH LONDON INDEPENDENT GIRLS SCHOOLS CONSORTIUM MATHEMATICS

THE NORTH LONDON INDEPENDENT GIRLS SCHOOLS CONSORTIUM Group 2 YEAR 7 ENTRANCE EXAMINATION MATHEMATICS Friday 8 January 2016 Time allowed: 1 hour 15 minutes First Name:... Surname:... Instructions: Please

### Square Roots and the Pythagorean Theorem

UNIT 1 Square Roots and the Pythagorean Theorem Just for Fun What Do You Notice? Follow the steps. An example is given. Example 1. Pick a 4-digit number with different digits. 3078 2. Find the greatest

### TEST 6. 12, 7, 15, 4, 1, 10, Circle all the odd numbers.

TEST 6. Complete the picture so that it has 7 dots. 2. What is the number shown? 0 5 0. Fill in the missing numbers. 2 + = 4 = (c) + 4 = (d) 4 + = 9 (e) 8 = (f) + 7 = 7 4. Write these numbers in order

### 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

### Mathematics Third Practice Test A, B & C - Mental Maths. Mark schemes

Mathematics Third Practice Test A, B & C - Mental Maths Mark schemes Introduction This booklet contains the mark schemes for the higher tiers tests (Tests A and B) and the lower tier test (Test C). The

### Thursday 2 November 2017 Morning Time allowed: 1 hour 30 minutes

Please write clearly in block capitals. Centre number Candidate number Surname Forename(s) Candidate signature GCSE MATHEMATICS Foundation Tier Paper 1 Non-Calculator F Thursday 2 November 2017 Morning

### 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 =

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

### 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.

June 21 st 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

### 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

### 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

### Day 1. Mental Arithmetic Questions KS3 MATHEMATICS. 60 X 2 = 120 seconds. 1 pm is 1300 hours So gives 3 hours. Half of 5 is 2.

Mental Arithmetic Questions. The tally chart shows the number of questions a teacher asked in a lesson. How many questions did the teacher ask? 22 KS MATHEMATICS 0 4 0 Level 4 Answers Day 2. How many seconds

### What is the sum of the positive integer factors of 12?

1. \$ Three investors decided to buy a time machine, with each person paying an equal share of the purchase price. If the purchase price was \$6000, how much did each investor pay? \$6,000 2. What integer

### 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

### 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

### Released January Years 3/4. Small Steps Guidance and Examples. Block 2 Length, Perimeter, Area

Released January 208 Years 3/4 Small Steps Guidance and Examples Block 2 Length, Perimeter, Area Year 3/4 Spring Term Teaching Guidance Overview Small Steps Year 3 Year 4 Measure length Equivalent lengths

### 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.

### 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

### 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

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

### 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

### MATHEMATICS LEVEL: (B - Γ Λυκείου)

MATHEMATICS LEVEL: 11 12 (B - Γ Λυκείου) 10:00 11:00, 20 March 2010 THALES FOUNDATION 1 3 points 1. Using the picture to the right we can observe that 1+3+5+7 = 4 x 4. What is the value of 1 + 3 + 5 +

### Competition Primary

Australian Mathematics Competition Primary 2009 2013 Book 2 WJ Atkins & MG Clapper AMT Publishing CONTENTS Preface Acknowledgements v vi Middle Primary 2009 1 Middle Primary 2010 8 Middle Primary 2011

### Year 4. Term by Term Objectives. Year 4 Overview. Autumn. Spring Number: Fractions. Summer. Number: Addition and Subtraction.

Summer Overview Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 Week 11 Week 12 Autumn Number: Place Value Number: Addition and Subtraction Number: Multiplication and Division Measurement:

### St. Francis College. Practice Paper MATHS. Entry into Year 7. Time allowed 1 hour

St. Francis College Practice Paper MATHS Entry into Year 7 Time allowed 1 hour Please attempt as many questions as you can. You should show ALL of your working in the spaces provided or on the facing page.

### Pascal Contest (Grade 9) Wednesday, February 23, 2005

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 23, 2005 C.M.C.

### Counting in multiples Page 8

Counting in multiples Page 8 1 a Add four Accept +4 b Add eight Accept +8 c Add fifty Accept +50 2 a Missing numbers are: 60, 80, 100 b Missing numbers are: 300, 400, 600 c Missing numbers are: 24, 48,

### KS3 Revision work. Level 6 + = 1

KS3 Revision work Level 6 1. Thinking fractions Write the missing numbers in these fraction sums. 1 + = 1 4 8 1 8 + = 1 3 2. Pi The value of correct to 7 decimal places is: 3.1415927 (a) Write the value

### 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

### Sixth Grade Spiraling Review Week 1 of Third Six Weeks

Week 1 of Third Six Weeks Materials: Spiraling Review Cards run on cardstock and cut for each group of students. Note: Record all work in your math journal. Day 1 Spiraling review cards see attachment

### 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

### 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

### 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:

### 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:

### Year 5. Mathematics A booklet for parents

Year 5 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 5. A statement might be harder than it seems,

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

### Maths SATs practice paper 2: reasoning

Maths SATs paper 2: reasoning First name... Middle name... Last name... Date of birth Day... Month... Year... School name... www.teachitprimary.co.uk 208 320 Page of 8 Instructions You must not use a calculator

### 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

### 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

### Individual Test - Grade 5

F 2002 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

### THE ENGLISH SCHOOL ENTRANCE EXAMINATIONS Time allowed: 1 hour and 30 minutes

THE ENGLISH SCHOOL ENTRANCE EXAMINATIONS 2014 MATHEMATICS FIRST FORM Time allowed: 1 hour and 30 minutes Answer ALL questions. Show all necessary working on the question paper in the spaces provided and

### Name. Present School. 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 18 th January 2008 Time allowed: 1 hour 15 minutes Write in pencil. Do all your rough working

### 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

### 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

### ENTRANCE EXAMINATION MATHEMATICS

Time allowed: 45 minutes ENTRANCE EXAMINATION MATHEMATICS Sample Paper 2 There are 26 questions. Answer as many as you can. Write your answers in the spaces provided. Show any working in the spaces between

### Sample Mathematics Entrance Examination Paper Time allowed: 1 hour

Sample Mathematics Entrance Examination Paper Time allowed: 1 hour Name: Current School: Only use a pencil and a rubber Do all your rough working in the space near the question Do not rub it out If you

### 2. Nine points are distributed around a circle in such a way that when all ( )

1. How many circles in the plane contain at least three of the points (0, 0), (0, 1), (0, 2), (1, 0), (1, 1), (1, 2), (2, 0), (2, 1), (2, 2)? Solution: There are ( ) 9 3 = 8 three element subsets, all

### 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

### Laboratory #4 Diode Basics and Applications (II)

Revised date: 7/2/217 僅供成功大學電機系教學使用, 請勿擅自修改 重製或出版 Laboratory #4 iode Basics and Applications (II) I. Objectives 1. Understand the Zener shunt regulator circuit. 2. Understand the operational principles

### Meet # 1 October, Intermediate Mathematics League of Eastern Massachusetts

Meet # 1 October, 2000 Intermediate Mathematics League of Eastern Massachusetts Meet # 1 October, 2000 Category 1 Mystery 1. In the picture shown below, the top half of the clock is obstructed from view

### TIME ALLOWED FOR THIS PAPER: Reading time before commencing work: MATERIAL REQUIRED / RECOMMENDED FOR THIS PAPER:

TIME ALLOWED FOR THIS PAPER: Reading time before commencing work: Working time for this paper: 0 minutes hour & 30 minutes MATERIAL REQUIRED / RECOMMENDED FOR THIS PAPER: To be provided by the supervisor

### 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

### ALDENHAM SCHOOL Entrance Paper SAMPLE PAPER. Mathematics

ALDENHAM SCHOOL 13 + Entrance Paper SAMPLE PAPER Mathematics Length of Examination 1 hour Do not open until you are told to do so Surname:. School: First name:... Age: Years Months.. INSTRUCTIONS FOR CANDIDATES

### 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

### MANIPULATIVE MATHEMATICS FOR STUDENTS

MANIPULATIVE MATHEMATICS FOR STUDENTS Manipulative Mathematics Using Manipulatives to Promote Understanding of Elementary Algebra Concepts Lynn Marecek MaryAnne Anthony-Smith This file is copyright 07,

### TEST (a) Write these numbers in order of increasing size. 12, 7, 15, 4, 1, 10, Circle all the odd numbers.

1 TEST 5 1. Complete the picture so that it has 7 dots. 2. What is the number shown? 0 5 10 3. Fill in the missing numbers. 2 + 3 = 4 1 = (c) 3 + 4 = (d) 4 + = 9 (e) 8 = 3 (f) + 7 = 7 4. Write these numbers

### Hexagon Puzzle. four. ten three. eighteen. twenty-one. six. fourteen. twenty. one hundred. seventeen. sixteen. one quarter. two.

Cut out the equilateral triangles along the dotted lines. Match the words to the numbers. Fit the triangles together to make one large hexagon. The shaded sections mark the edges of the hexagon. Stick