Tổng hợp Đề thi và Đáp án, Hướng dẫn giải Kỳ thi ITMC Khối 5 các năm
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Ðể khai thác thông tin chi tiết khóa học xin vui lòng quét mã QR Khám phá nhiều khóa học khác Luyện thi Toán Olympic quốc tế tại website CodeMath.vn TỔNG HỢP ĐỀ THI VÀ ĐÁP ÁN, HƯỚNG DẪN GIẢI KỲ THI ITMC khốiKhối 55 cáccác nămnăm Tải ứng dụng mobile Biên tập: Ðào Hưng Hotline: ToanCodeMathVN @CodeMathVN 0346 475 489 Tổng hợp đề thi và đáp án kỳ thi ITMC khối 5 MỤC LỤC ĐỀ SỐ 01: ..............................................................................................................8 ĐỀ SỐ 02 .............................................................................................................. 15 ĐỀ SỐ 03 .............................................................................................................. 22 ĐỀ SỐ 04 .............................................................................................................. 26 ĐÁP ÁN ĐỀ SỐ 01 .............................................................................................. 31 3 Tổng hợp đề thi và đáp án kỳ thi ITMC khối 5 Multiplication Phép nhân How to calculate average? Cách tính số trung bình Middle Ở chính giữa Even Chẵn Odd Lẻ Last Cuối cùng How to use average to calculate the Sử dụng trung bình để tính tổng như thế sum? nào? What is average? Trung bình là gì? Sequence Dãy Consecutive numbers Các số liên tiếp First Đầu tiên Why do we need average? Tại sao chúng ta phải tính trung bình? Define Định nghĩa Symbol Kí hiệu Operation Phép toán Units digit Chữ số hàng đơn vị Tens digit Chữ số hàng chục Divisibility Chia hết cho Product Tích Digit Chữ số Last digit Chữ số tận cùng Horizontal line Đường nằm ngang Vertical line Đường thẳng đứng Rectangle Hình chữ nhật Square Hình vuông How many rectangles? Có bao nhiêu hình chữ nhật? 5 Tổng hợp đề thi và đáp án kỳ thi ITMC khối 5 Without repetition Không được phép lặp lại Front face Mặt trước Bottom face Mặt dưới Right side face Mặt bên phải Left side face Mặt bên trái Top face Mặt trên Back face Mặt sau Face Mặt How many ways are there? Có bao nhiêu cách đi Go up Đi lên Step Bậc Inverse Ngược từ Backwards from the end Suy ngược từ cuối Back-to-end inference Suy ngược từ cuối Originally Ban đầu Constant Hằng số Geometric sequence Dãy cấp số nhân Plus Cộng Minus Trừ Quotient Thương Minimum Nhỏ nhất Smallest Nhỏ nhất Maximum Lớn nhất Greatest Lớn nhất Area Diện tích Positive integer Số nguyên dương Perimeter Chu vi 7 Tổng hợp đề thi và đáp án kỳ thi ITMC khối 5 Q7. A factor of n is a positive integer which is a divisor of n. For example, There are 6 factors of 12 which are 1, 2, 3, 4, 6, 12. There are 2 factors of 3 which are 1, 3. There is only 1 factor of 1. Which one of the following numbers has the least number of factors? A. 24 B. 30 C. 37 D. 40 E. 42 Q8. Let a be the smallest 2-digit number which is divided by 7 with a remainder of 2 and let b be the largest 2-digit number which is divided by 7 with a remainder of 2. Find the value of a + b. A. 109 B. 102 C. 116 D. 110 E. 112 Q9. Which one of the following numbers has smallest remainder when it is divided by 7? A. 2018 B. 2561 C. 4036 D. 5122 E. 543 Q10. International trade is the exchange of goods and services between countries. Total trade equals exports plus imports. A country has a balance of trade surplus when it exports more than it imports and has a balance of trade deficit when it imports more than it exports. Suppose that in this year Thailand has the value of exports 3.99 trillion baht and the value of imports 3.45 trillion baht. Which one of the following statements is true ? A. In this year, Thailand has a balance of trade deficit of value 5.4 trillion baht. B. In this year, Thailand has a balance of trade deficit of value 0.54 trillion baht. C. In this year, Thailand has a balance of trade surplus of value 5.4 trillion baht. D. In this year, Thailand has a balance of trade surplus of value 0.54 trillion baht. E. In this year, Thailand has a balance of trade deficit of value 0.054 trillion baht. Q11. In a year, if the 5th August is Sunday, which one of the followings is Monday? A. the 5th July B. the 5th September C. the 5th October D. the 5th November E. the 5th December Q12. How many natural numbers from 100 to 999 are there of which the sum of the digits in units place and tensplace is equal to 9? A. 81 B. 90 C. 100 D. 180 E. 450 9 Tổng hợp đề thi và đáp án kỳ thi ITMC khối 5 Q18. A pizza of radius 8 inches is divided into 3 equal pieces. A pizza of radius 10 inches is divided into 4 equal pieces A pizza of radius 12 inches is divided into 6 equal pieces. A pizza of radius 14 inches is divided into 8 equal pieces. All pizzas have the same thickness. David wants to select a piece of pizza whose quantity is greatest. What radius of pizza is selected by David? A. 8 inches B. 10 inches C. 12 inches D. 14 inches E. Any piece of pizza could be selected since they have the same quantity Q19. A box contains cards of number 1 to 10 (one card one number). If a card is taken away from the box, the cards left in the box could be divided into two piles each of which the product of numbers on the cards are equal. What number is on the card taken away from the box? A. 7 B. 6 C. 5 D. 3 E. 2 Q20. Consider the following sequence of letters. PRENEEXAMPRENEEXAMPRENEEXAM . . . What is the 100th letter in the sequence? A. P B. R C. E D. N E. X Q21. Count numbers from innermost circle to outermost circle in the following figure. Let x be the 10th number in sector A and y be the 20th number in sector D. Find x + y. A. 135 B. 138 C. 140 D. 143 E. 145 The following information is needed to answer question 22 to 24. At the 2018 FIFA world cup tournaments, the 32 teams were drawn into 8 groups A, B, C, D, E, F, G, and H of 4 teams. In the first round any two teams played together only one match. Each match the winner got 3 points, no point for the loser. If a match ended in a tie, each team got 1 point. After the first round ended, the first two teams with highest points in each groups would enter to the second round. 11 Tổng hợp đề thi và đáp án kỳ thi ITMC khối 5 Q26. ABCD is a square. Construct rectangle ABEF by giving the points E and F on BC and AD respectively. Construct square AGHF by giving the points G and H on AB and EF respectively. The perimeters of the square AGHF and the rectangle ABEF are 25 and 61 respectively. What is the perimeter of the square ABCD? Q27. Let d1, d2, d3, . . . , d15 be an increasing sequence of 15 different numbers, each of which is a factor of 2500. Determine d12. Q28. In writing numbers from 1 to 20 as follows: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, it is found that digit “1” is written 12 times. For example, there are 2 times of writing “1” in 11. Find the number of times that the digit “5” is written in writing numbers from 1 to 231. Q29. A game of putting marbles in a row of 10 small squares, there are two players. The rule of the game are the following: (i) The players alternate turns. (ii) Each player, when it is their turn, put at least one marble but not exceed 5 marbles into the squares. The players must put marbles started from the most left square continuously. The last player who puts marble (s) is the loser. For example : A and B are players and player A begins the game. Turn 1 : Player A puts 2 marbles. Turn 2 : Player B puts 3 marbles. Turn 3 : Player A puts 2 marbles. Turn 4 : Player B puts 2 marbles. Turn 5 : Only one square is left. Player must put a marble. The loser is player A. If there is a row of 50 squares in the game, how many marbles should the player in Turn 1 put insquares in order to guarantee a win? Bonus Question (Student may or may not give the answer) A correct answer is worth 20 points. An incorrect answer is lost 7 points and 0 point for blank answer. 13
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