Tổng hợp Đề thi và Đáp án, Hướng dẫn giải Kỳ thi ITMC Khối 4 các năm

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 ĐỀ THI VÀ ĐÁP ÁN, HƯỚNG DẪN GIẢI
 KỲ THI ITMC
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 ToanCodeMathVN @CodeMathVN 0346 475 489 Tổng hợp đề thi, đáp án và hướng dẫn giải kỳ thi ITMC khối 4 
 MỤC LỤC 
ĐỀ SỐ 01: ..............................................................................................................8 
ĐỀ SỐ 02 .............................................................................................................. 15 
ĐỀ SỐ 03 .............................................................................................................. 19 
ĐỀ SỐ 04 .............................................................................................................. 24 
 3 Tổng hợp đề thi, đáp án và hướng dẫn giải kỳ thi ITMC khối 4 
 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, đáp án và hướng dẫn giải kỳ thi ITMC khối 4 
 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, đáp án và hướng dẫn giải kỳ thi ITMC khối 4 
7. In a year, if the 5th August is Sunday, what day is the 5th July? 
 A. Monday B. Tuesday C. Wednesday 
 D. Thursday E. Friday 
8. A train departs a station at 11:40 and arrives at destination 75 minutes later. At 
what time will the train arrive at destination? 
 A. 12:15 B. 12:45 C. 12:55 
 D. 13:05 E. 13:15 
9. Tom has money 670 dollars in his wallet. The money consists each one of 500, 
100, 50, and 20 dollars bank notes. If Tom uses a bank note to buy 2 bottles of 
drinking water priced 7 dollars each, what is the possible maximum change that Tom 
should receive? 
 A. 656 dollars B. 556 dollars C. 486 dollars 
 D. 156 dollars E. 86 dollars 
10. The number of students in each class of a primary school is shown in the 
following table. How many students are there in Grade 4? 
 A. 248 B. 249 C. 250 D. 251 E. 252 
11. A bag contains 23 white, 19 green, 29 blue, 17 yellow, and 28 red buttons. A girl 
randomly picks up a button from the bag. What color of button is the highest chance 
of being picked up? 
 A. red B. white C. green 
 D. blue E. yellow 
 9 Tổng hợp đề thi, đáp án và hướng dẫn giải kỳ thi ITMC khối 4 
 17. In the adjoining figure, a big square consists of 
 sixteen small squares. If 4 small squares are removed 
 from the big square in order to yield a polygon with 
 greatest number of sides. How many sides of the new 
 polygon are there? 
 A. 20 B. 18 C. 15 D. 12 E. 8 
18. There are two pieces of paper A, B in square shape. Square A has a side of 6 
inches and square B has a side of 9 inches. Each square is divided into 9 small squares 
of the same size. Put 4 small squares from the square B on a table. How many small 
squares from the square A can we congruently put over the 4 small squares? 
 A. 10 B. 9 C. 8 D. 7 E. 6 
19. A waiter counts chopsticks in a restaurant. If he counts 3 pairs of chopsticks each 
time, there is 1 pair left. If he counts 4 pairs of chopsticks each time, there are 2 pairs 
left. If he counts 5 pairs of chopsticks each time, there are 4 pairs left. If the restaurant 
has chopsticks not exceed 40 pairs. How many chopsticks does the restaurant have? 
 A. 34 B. 42 C. 56 D. 68 E. 72 
20. A girl folds several pieces of paper to be stars and put into a number of bags as 
follows: 
 2 stars is put into bag 1, 4 stars is put into bag 2 
 6 stars is put into bag 3, 8 stars is put into bag 4, and so on. 
If the girl folds 90 stars, at least, how many possible number bags does the girl have 
to prepare for putting stars? 
 A. 7 B. 8 C. 9 D. 10 E. 12 
21. A class of students is divided into two groups for counting numbers. In group 1, 
the first student starts to count number 1, then each student counts the next number 
which is 3 units greater than the previous one. In group 2, the first student starts to 
count number 50, then each student counts the next number which is 4 units less than 
the previous one. If the first student from group 1 starts to count number 1, then 
follows by the first student from group 2 to count number 50 and alternately and so 
on. What is the first same number counted by two students? 
 A. 18 B. 20 C. 22 D. 24 E. 28 
The following information is needed to answer question 22 to 24. 
 11 Tổng hợp đề thi, đáp án và hướng dẫn giải kỳ thi ITMC khối 4 
26. Let ABCD be a rectangle. E and F are points on AB and CD respectively such 
that AEFD is a square. The perimeters of the square AEFD and rectangle BCFE are 
20 and 18 respectively. Find the perimeter of ABCD. 
27. Let d1, d2, d3, . . ., d12 be different positive numbers in increasing order each of 
which is a divisor of 200. Find d9. 
28. In the following from 1 to 20, the digit 1 appears 12 times in total such as 1 
appears 2 times in “11”. 
 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 
How many times in total does digit 3 appear in sequence of numbers from 1 to 131? 
29. 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 marbles but not exceed 
 5 marbles into the squares. The players must put marbles which 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 40 squares in the game, how many marbles should the player in 
Turn 1 put in squares 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 Tổng hợp đề thi, đáp án và hướng dẫn giải kỳ thi ITMC khối 4 
 ĐỀ SỐ 02 
 1
1. Zari and Lily played at the beach for 1 hours. What is the amount they played, in 
 3
minutes? 
 A. 20 B. 40 C. 60 D. 80 E. 100 
2. Mr. Lee check out of the hotel on Saturday. He had stayed for three nights. On 
what day of the week did he check in? 
 A. Monday B. Tuesday C. Wednesday D. Thursday E. Friday 
3. How many terms does the following number sequence have? 1; 4; 7; 10; 13; 16; 
19;  ; 94; 97; 100. 
 A. 34 B. 35 C. 50 D. 51 E. 52 
4. The average of three numbers is 35. Find the largest number, given that the first 
number is twice the second number, the second number is twice the third number. 
 A. 15 B. 30 C. 60 D. 120 E. 240 
5. Divide the number A by 26 to get a remainder of 17. How much must A be 
subtracted so that the division leaves no remainder and the quotient decreases by 1? 
 A. 33 B. 16 C. 17 D. 43 E. 1 
6. There is a total of 720 kg of coffee including three types. 1/6 of the coffee is type 
I, 3/8 of the coffee is type II. The rest is type III. Calculate the amount of coffee type 
3, in kilograms. 
 A. 330 B. 120 C. 270 D. 390 E. 450 
7. Bella took the ferry at 6:13 and arrived at the next port one hour and 12 minutes 
later. 5/12 of the way through the trip, she received a phone call from her sister. 
What time did Bella’s sister call her? 
 A. 6:43 B. 7:25 C. 5:01 D. 5:43 E. 7:12 
8. The sum of two numbers is 104. Find the large number given that one half of the 
first number is less than one sixth of the second number 4 units. 
 A. 12 B. 72 C. 13 D. 84 E. 32 
 15