Combinatorics
21. 15 students join a competition. Only top 5 students can be promoted to next round. How many different way(s) of promotion advance is / are there?
Different way: Cách khác nhau.
22. It is known that there are 8 classes of grade 5 in a primary school. At least how many students are there in grade 5 to ensure there exist 41 students in the same class?
At least: Ít nhất; Ensure: Chắc chắn; Exist: Tồn tại.
23. Choose 3 digits from 1, 2, 3, 4, 6, 8 and 0 to form 3-digit numbers. How many even number(s) greater than 300 is / are there? (The repetition of digits is not allowed)
Digit: Chữ số; 3-digit number: Số có 3 chữ số; Even number: Số chẵn; Greater than: Lớn hơn; Repetition of digits is not allowed: Các chữ số không được lặp lại.
24. A flight of stairs has 10 steps. Peter can go up for 1 step, 2 steps or 3 steps each time. How many way(s) is / are there for Peter to go up the stairs?
Step: Bước; Way: Cách.
25. Numbers are drawn from 80 integers 20 to 99. At least how many number(s) is / are drawn at random to ensure that there are two numbers whose sum is 85?
Integer: Số nguyên; At least: Ít nhất; Random: Ngẫu nhiên; Ensure: Chắc chắn; Sum: Tổng.
~ End of Paper ~
  

Combinatorics
21. 15 students join a competition. Only top 5 students can be promoted to next round. How many different way(s) of promotion advance is / are there?
Different way: Cách khác nhau.

22. It is known that there are 8 classes of grade 5 in a primary school. At least how many students are there in grade 5 to ensure there exist 41 students in the same class?
At least: Ít nhất; Ensure: Chắc chắn; Exist: Tồn tại.

23. Choose 3 digits from 1, 2, 3, 4, 6, 8 and 0 to form 3-digit numbers. How many even number(s) greater than 300 is / are there? (The repetition of digits is not allowed)
Digit: Chữ số; 3-digit number: Số có 3 chữ số; Even number: Số chẵn; Greater than: Lớn hơn; Repetition of digits is not allowed: Các chữ số không được lặp lại.

24. A flight of stairs has 10 steps. Peter can go up for 1 step, 2 steps or 3 steps each time. How many way(s) is / are there for Peter to go up the stairs?
Step: Bước; Way: Cách.

25. Numbers are drawn from 80 integers 20 to 99. At least how many number(s) is / are drawn at random to ensure that there are two numbers whose sum is 85?
Integer: Số nguyên; At least: Ít nhất; Random: Ngẫu nhiên; Ensure: Chắc chắn; Sum: Tổng.
~ End of Paper ~

Question 1: What is 1/6 of  744? Answer: 124
Question 2: Express seventy thousand, four hundred and nine in numerals. Answer: 70409 
Question 3: Study the pattern. 88:8=11   880:8=110  8800:8= ?  The missing number is 1100
Question 4: Subtract 346 from 752. Answer: 406
Question 5: The ratio of boys to girls at a school is 5:4. If there are 255 boys at the school then how many students are there at the school?  Answer: 459 students.
Question 6: The product of  2 different natural numbers is 9. Their sum is 10 
Question 7: Jack, Mary and Jacob buy ice creams. Jack buys twice as many as Mary. Jacob buys three times as many as Jack. If Jacob buys 12 ice creams then Mary buys 2 ice creams.
Question 8: My giant flower doubles its size every day. On Friday, it is 5 ( hay 10 gì đó ) times as big as its was on the preceding Sunday.
Question 9: If we write all of the whole numbers from 10 through 99 and cross out any number in which the first or second digit is divisible by 2 (for example, 41 is crossed out as 4 is divisible by 2 and 36 is crossed out as 6 is divisible by 2), how many numbers are crossed out? Answer: 65 numbers.
Question 10: It takes Bella three hours to clean a house. It takes Anna two hours to clean the house. How long would it take for them to clean it together?  Answer: 72 minutes.

Câu 1 :Each of cars can take 8 people. How many cars needed to take 124 people?

Câu 2 : How many integer numbers between 200 and 300 are there for which the hundreds digit equals the sum of the other two digits?

Câu 3 : The average of five numbers is 20. The average of the five number is 18 when one of the numbers is chaned to 4. What is the orginal value of the changed number?

Câu 4 :A book has 250 pages starting at number 1. How many digits are there in the page numbers of the book?

Câu 5 : Find A, if A is 3 less than the average of 48; 55; 29 and A. The value of A is…

Câu 6 : The sum of denominator and numerator of a fraction is 121 and the fraction is equal to 4/7. Find the denominator of the fraction?

Câu 7 : The sum of two numbers is equal to 77. If the first number is multiplied by 8 and the second by 6, the two product are equal. The larger of these numbers is…

Câu 8 : Which is the greatest 2 - digit number divisible by 2, 3 and 4?

Câu 9 : Calculate: (1 + 2/5) x 6/7.

Câu 10 : Give the number sequence: 1, 4, 7, 10, 13, … Find the 15th term of the number sequence.

Exam number 1                                                                                                  

Fill in the blank with the correct number

Question 1:
Divide 2016×2016 by 2016. The quotient is .....

Question 2:
Subtract 346 from 752.
Answer: ....

Question 3:
Study the pattern.
88:8=11  
880:8=110 
8800:8= ? 
The missing number is .....

Question 4:
Express seventy thousand, four hundred and nine in numerals.
Answer: .....

Question 5:
The product of 2 different natural numbers is 9. Their sum is .....

Question 6:
100 hundreds + 1000 tens = ...... ones

Question 7:
The ratio of boys to girls at a school is 5:4. If there are 255 boys at the school then how many students are there at the school? 
Answer:  ...... students.

Question 8:
If two dozen pencils cost 12 dollars then .... pencils cost 2 dollars.

Question 9:
Peter and John played in fifteen rounds game. In each round, the winner scored 5 points and the loser scored 2 points. At the end of the game, John’s total score was 57 points. How many rounds did Peter win?
Answer: ..... rounds.

Question 10:
If we write all of the whole numbers from 10 through 99 and cross out any number in which the first or second digit is divisible by 2 (for example, 41 is crossed out as 4 is divisible by 2 and 36 is crossed out as 6 is divisible by 2), how many numbers are crossed out?

Answer: ....  numbers.