Câu 1 The function mm is defined on the real numbers by m(k) = \dfrac{k+2}{k+8}m(k)= k+8 k+2 ​ . What is the value of 10\times m(2)10×m(2)? Answer: Câu 2 The function ff is defined on the real numbers by f(x)= ax-3f(x)=ax−3. What is the value of a if f(3)=9f(3)=9? Answer: Câu 3 The function ff is defined on the real numbers by f(x)= 2x+a-3f(x)=2x+a−3. What is the value of a if f(-5)=11f(−5)=11? Answer: Câu 4 The function ff is defined on the real numbers by f(x) = 2 + x-x^2f(x)=2+x−x 2 . What is the value of f(-3)f(−3)? Answer: Câu 5 Given a real number aa and a function ff is defined on the real numbers by f(x)=-6\times|3x|-4f(x)=−6×∣3x∣−4. Compare: f(a)f(a) f(-a)f(−a) Câu 6 There are ordered pairs (x;y)(x;y) where xx and yy are integers such that \dfrac{5}{x}+\dfrac{y}{4}=\dfrac{1}{8} x 5 ​ + 4 y ​ = 8 1 ​ Câu 7 Given a negative number kk and a function ff is defined on the real numbers by f(x)=\dfrac{6}{13}xf(x)= 13 6 ​ x. Compare: f(k)f(k) f(-k)f(−k) Câu 8 Given a positive number kk and a function ff is defined on the real numbers by f(x)=\dfrac{-3}{4}x+4f(x)= 4 −3 ​ x+4. Compare: f(k)f(k) f(-k)f(−k). Câu 9 A=(1+2+3+\ldots+90) \times(12 \times34-6 \times 68):(\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{5}+\dfrac{1}{6})=A=(1+2+3+…+90)×(12×34−6×68):( 3 1 ​ + 4 1 ​ + 5 1 ​ + 6 1 ​ )= Câu 10 Given that \dfrac{2x+y+z+t}{x}=\dfrac{x+2y+z+t}{y}=\dfrac{x+y+2z+t}{z}=\dfrac{x+y+z+2t}{t} x 2x+y+z+t ​ = y x+2y+z+t ​ = z x+y+2z+t ​ = t x+y+z+2t ​ . The negative value of \dfrac{x+y}{z+t}+\dfrac{y+z}{t+x}+\dfrac{z+t}{x+y}+\dfrac{t+x}{y+z} z+t x+y ​ + t+x y+z ​ + x+y z+t ​ + y+z t+x ​ is

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.

Exam number 3

Fill in the blank with the suitable number

Question 1:
The sum of two numbers is 98 and their difference is 24. The greater number is 

Question 2:
Fill missing number in the blank
41165+23042=23042+

Question 3:
Fill missing number in the blank 
(32514+16257)+23459=+(16257+23459)

Question 4:
Calculate: 91625 – 27356= 

Question 5:
If a square has one side’s length is 12cm then its perimeter is cm

Question 6:
If the perimeter of a square is 104m then its one side’s length is m

Question 7:
Find x such that x+24360=41256
Answer: x=

Question 8:
Find y such that y – 12358=18031 
Answer: y=

Question 9:
Find the value of n such that 
Answer: n=

Question 10:
Find the value of b such that 
Answer: b=

Find the sum of following numbers

Answer: 

Question 2:
Find the value of 
Answer: 

Question 3:
The sum of two numbers is 47 and their difference is 15. The smaller number is 

Question 4:
Fill missing number in the blank
54723+=27849+54723

Question 5:
Find y such that y – 12358=18031 
Answer: y=

Question 6:
There are 72 pages in a book. How many pages are there in 12 such books?
Answer: pages

Question 7:
If the perimeter of a square is 104m then its one side’s length is m

Question 8:
If a square has one side’s length is 12cm then its perimeter is cm

Question 9:
If  then a=

Question 10:
The perimeter of a rectangle is 36cm and its length is 6cm more than its width. Its area is