1) ABC is a triangle where M is the midpoint of segment BC.

MD and ME are two bisectors of triangles AMB and AMC respectively.

If AM= m; BC = a . Then DE = ???

2)\(\dfrac{1}{\left(x+29\right)^2}+\dfrac{1}{\left(x+30\right)^2}=\dfrac{5}{4}\)

What is the product of all real solutions to the equation above?

3) The sum of all possible natural numbers n such that

\(n^2+n+1589\) is a perfect square is.....

4) Given that x is a positive integer such that x and x+99 are perfect squares

The sum of integer x is ...

5)The operation @ on two numbers produces a number equal to their sum minus 2. The value of

(...((1@2)@3....@2017)

6) Given f(x)=\(\dfrac{x^2}{2x-2x^2-1}\)

=> \(f\left(\dfrac{1}{2016}\right)+f\left(\dfrac{2}{2016}\right)+f\left(\dfrac{3}{2016}\right)+...+f\left(\dfrac{2016}{2016}\right)\)

Các bn giúp mk vs >>> tks nha!!!

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.

LUYỆN VIOLYMPIC TIẾNG ANH LỚP 4 (2021-2022)

Câu 1: The sum of all one digit numbers?

Câu 2: Which value is not equal to 4500? (45tens, 450tens, 45 hundred)

Câu 3: Which number below is the word form of 20 300?

Câu 4: How many two digit odd numbers are there that are greater than 15?

Câu 5: Lily writers a number. It has the digit 5 in the thousands place and the digit 8 in the units place. Which of these numbers could Lily have written?

Câu 6: What is the smallest posible number that can be written using the digits 4, 7, 0, 6? (use each digit only once)

Câu 7: If the sum of three consecutive natural numbers is less than 90, find the largest possible value of the largest natural number is?

Câu 8: How many multiples of 4 lie between 1000 and 2500?

Câu 9: Read number: 35 206 :...........................................................

Câu 10: Jack finished the bicycle race with a time of 34152 seconds, Jane finished with a time of 34215 seconds, and Tina finished with a time of 34125 seconds. In what order did they finish the race?

Câu 11: The The greatest odd number that can be formed by all the digit 1,2,0 and 8 is?

Câu 12: A rectangle having length and breadth are 25cm and 8cm respectively. The perimeter of the rectangle?

Câu 13: Amy put 50 photographs into an online photo album. On each page she could fit eight photos. How many photos were on the last page?

Câu 14: Bon is 5 years old. Ben’s age is 3 years more than the double of Bon’s age. Find the age of Ben?

Câu 15: Which value is equal to 56 hundreds? (56000; 5600 tens; 560 tens; 56 units)

Câu 16:What is the perimeter of  a square with side lengths of 205 cm?  

Câu 17: What is the greatest 3-digit number whose digits total is 13?

Câu 18: Anna has a chocolate chip cookie recipe that makes 60 cookies and calls for 6cups of flour. If he only wants to make 40 cookies. How many cups of flour would he need?

Câu 19: A string of 5m35cm was cut into 5 equal parts. What’s the length of each part in cm?

                               Giúp mình với!

Câu hỏi 1:
The average of three numbers is 1988. The first number is 1984. The third number is 2 units more than the second number. Find the third number.

Câu hỏi 2:
The average of 5 consecutive odd numbers is 123. Find the greatest number.
Câu hỏi 3:
Which of the following fractions is equal to 2/3?

Câu hỏi 4:
The average of two numbers is 95. The first number is 2/3 of the second number. Find the first number
Câu hỏi 5:
Fill in the blank with the correct number: 6/100 kg = .... kg

Câu hỏi 6:
The sum of two fractions is 45/23 and the first fraction is one quarter of the second fraction. Find the first fraction.

Câu hỏi 7:
The sum of twonumbers is 463 and three are eighteen even numbers between these numbers. Find the greater number.

Câu hỏi 8:
Which of the following fractions is the greatest number?

Câu hỏi 9:
The average of two numbers is 95. The first number is 2/3 of the second number. Find these two numbers.

Câu hỏi 10:
The sum of the number of lions and monkeys in a zoo is 40 and lions are 1/3 the number of monkeys. How many monkeys are there in the zoo?