Đề thi Violympi khối 8 vòng 8+9+10 năm 2015-2016

Exam number 319:37
Fill in the blank with the suitable number (Note: write decimal number with "the dot"
between number part and fraction part. Example: 0.5)


Baì thi số 3
Question 1:
Given the triangle ABC and the bisector BD, AB=5cm, CB=7cm.
If the length of AD is 1cm less than the length of CD then the length of AC is
Question 2:
If
Answer: The value of

cm.

then what is the value of ?
is
.

Question 3:
The area of a rectangle is 50. If its width is increasing to two times and its length is decreasing to
four times then the area of the rectangle is
.
Question 4:
The equation

Question 5:
Find the value of

has

solution(s).

such that
.

Answer:

.

Question 6:
Find the solution of the equation
Answer: The solution is
Question 7:
Find the value of

.
.

such that

.
Answer:

.

Question 8:
Three children: Mark, Tom, Andy ate 23 cookies altogether.
Tom ate more cookies than Andy, Mark.
What is the smallest possible number of cookies that Tom ate?
Answer: The smallest possible number of cookies that Tom ate is
Question 9:
Find the maximum area of a triangle that has the length of two sides are
Answer: The maximum area of the triangle is
.

cookies.

and

.


Fill in the blank with the suitable sign (>; =;<)
Question 10:
Given
and
To compare:

.
.

Vòng 9. Cấp tỉnh
Exam number 119:50
Fill in the blank with the suitable number (Note: write decimal number with "the dot"
between number part and fraction part. Example: 0.5)

Question 1:
Three children want to take a group photo sitting in a row. In how many ways can they arrange their
sitting positions?
Answer: There are
ways.
Question 2:
How many numbers between 10 to 3000 are multiple 7?
Answer: There are
numbers.
Question 3:
Calculate: 366-363+360-357+354-351+…+300-297+294-291=

.

Question 4:
Given the point C on the segment AB such that the ratio of AC to CB is 3:7. Find the length of BC if
the length of AB is 30 cm.
Answer: The length of BC is
cm.
Question 5:
Subtract 100 from 7 times of a number A, the difference will be 68 more than 5 times the value of A.
Find the value of A.
Answer: The value of A is
.
Question 6:
The figure below is made of 2 squares of different sides (the length of sides are integer numbers).
Find the perimeter of the figure if its area is
.

Answer: The perimeter of the figure is
Question 7:
Find the maximum value of the expression
Answer: The maximum value of B is

cm.

.
.

Question 8:
The perimeter of a rectangle is 34 cm. If its length is increasing 5 cm and its width is increasing 3 cm
then the area is increasing 80
. Find the original area of the rectangle.
Answer: The original area of the rectangle is
.
Question 9:
Mark rides bicycle from his house to school with a speed of 15 km/h and arrives at the school 20
minutes late. However, if he rides with 20 km/h, he would reach the school only 5 minute late. Find
the distance between his house and the school.
Answer: The distance between his house and the school is
km.
Question 10:
Given the triangle ABC, two bisectors BD and CE. Find the length of the side BC if
and the perimeter of ABC is 50 cm.
Answer: BC=
cm.

Vòng 10 cấp quốc gia