How can we get many points in this Mathyoulike?

There are 30 problems in a mathematics competition. The scores of each problem are allocated in the following ways: 1 mark will be given for a correct answer, 0 marks will be given for a blank answer or a wrong answer. Find the minimum number of candidate(s) to ensure that 2 candidates will have the same
scores in the competition.

A rectangle is cut into 4 equal rectangles. If the area of it is 252cm2, how many cm at most does the perimeter increase in cm after cutting the rectangle?

1.A mathematics competition consists of 10 questions.3 marks are awarded for answering a question correctly.2 marks will be deduced for a wrong answer.1 mark will be deducted for not answering a question.

How many students must have taken part in order to have at least four students of the same score?

 xOy + góc yOz = góc xOz

Circle A has center (0, 0) with radius 4. Circle B has center (40, 40) with radius 6. The radius of circle B increases at twice the rate as the radius of circle A increases. When the circles are externally tangent at P(x, y), which is located between the centers of circles A and B, what is the value of x? Express your answer as a fraction in simplest radical form. 

Exam number 1: Choose 2 consecutive cells which have the same or equal value. (Tìm cặp bằng nhau)

Exam number 2: Vượt chướng ngại vật

Question 2.1:

The missing number is ...........

a. 5.9          b. 8.3            c. 6.3            d. 3.8

Question 2.2: Find the value of y such that 19.5 + y = 32.6

a. 52.1           b. 14.1            c. 51.1          d. 13.1

Question 2.3: Count back by 0.5

The value of P is ..........

a. 3.7            b. 1.2             c. 1.7         d. 4.2

Question 2.4: Count back by 0.1

The value of Q is ...........

a. 0.6           b. 1.1            c. 1.0     b. 0.7

Question 2.5: Calculate: 1.34 + 2.34 + 3.34 + ...... + 20.34 = .........

a. 205.96           b. 195.12           c. 227.64        d. 216.8

Question 2.6:

Rule: Add 13.85. The missing number is ..............

a. 54.44          b. 53.44           c. 80.14         d. 81.14

Question 2.7:

Rule: Substract 15.24. The missing number is ...........

a. 49.42          b. 19.84           c. 48.52            d. 18.94

Question 2.8: Which of following decimals is equal to 3/8?

a. 0.35           b. 0.375           c. 0.3         d. 0.357

Question 2.9: Write these numbers in standard form: 21.3 = 20 + 1 + 0.3

Which of following is true?

a. 149.34 = 100 + 40 + 9 + 0.34

b. 127.06 = 120 + 7 + 0.06

c. 105.9 = 100 + 5 + 0.9

d. 280.2 = 200 + 8 + 0.2

Question 2.10: Count on by 0.3

The value of N is ............

a. 4.1           b. 3.5             c. 3.8          d. 4.4

Question 2.11: 10 + ..... + 8 = 18.06

The missing number is .............

a. 0.06          b. 0.8              c. 0.08       d. 0.6

Question 2.12: Find the value of a if

a. 9            b. 1               c. 8             d. 7

Exam number 3: 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 3.1: If n = 23.54 then n x 9 = ...............

Write your answer by decimal in the simplest form

Question 3.2: If a x b = 42.63 then b x a = ..........

Question 3.3:

The missing decimal number is ...........

Question 3.4: Multiply: 3.56 x 8 = .......... Write your answer by decimal in the simplest form.

Question 3.5: This table shows the weights of Peter's three dogs.

The product of the combined weight of Shadow and Josie and the weight of Brody is ............. kg.

Question 3.6: If a = 2.4; b = 5.6 and c = 7.6 then (a + b) x c = ......... Write your answer by decimal in the simplest form.

Question 3.7: The cost of 2 kilograms of oranges is 2.31 dollars. What is the cost of 12 kilograms of oranges?

Question 3.8: Calculate: 0.4 x 8.4 x 2.5 = ............

Fill in the blank with the suitable sign (>, =, <)

Question 3.9: Compare: M = 25.36 x 25.34 and P = 25.35 x 25.35

Question 3.10: Compare: A = 26.26 x 4949.49 and B = 49.49 x 2626.26

Đáp án đề thi Violympic Toán Tiếng Anh lớp 5 vòng 6

Exam number 1: Choose 2 consecutive cells which have the same or equal value. (Tìm cặp bằng nhau)

(1) = (5); (2) = (4); (3) = (19); (6) = (10); (7) = (8); (9) = (20); (11) = (12); (13) = (15); (14) = (18); (16) = (17)

Exam number 2: Vượt chướng ngại vật

Question 2.1: b        Question 2.2: d        Question 2.3: b         Question 2.4: b

Question 2.5: d        Question 2.6: b       Question 2.7: a         Question 2.8: b

Question 2.9: c        Question 2.10: c      Question 2.11: a        Question 2.12: c

Exam number 3: Fill in the blank with the suitable number

Question 3.1: 211.86      Question 3.2: 42.63          Question 3.3: 9.2

Question 3.4: 28.48       Question 3.5: 44.7           Question 3.6: 60.8

Question 3.7: 13.86       Question 3.8: 8.4             Question 3.9: <           Question 3.10: =

Đề thi Violympic Toán Tiếng Anh lớp 5 vòng 5 năm 2015 - 2016

Exam number 1: Choose the increasing value. (Chọn các giá trị theo thứ tự tăng dần)

Exam number 2:

Question 1: Convert 25m = ........... km.

a. 250            b. 0,025              c. 2,5        d. 0,25

Question 2: 2m² = .............. dm². The missing number is ............

a. 200        b. 200000              c. 2000        d. 20000

Question 3: Convert 3,25kg = ........... g.

a. 0,325        b. 325            c. 3250        d. 32,5

Question 4: Convert 340kg = .......... ton.

a. 34         b. 3,4             c. 0,34         d. 0,034

Question 5: Convert 5.03m = ............cm.

a. 50,3         b. 0,503         c. 503          d. 5030

Question 6: How many natural numbers are there less than 7,23?

a. 8           b. 7             c. 5            d. 6

Question 7: How many odd numbers are there less than 54,91?

a. 55           b. 27            c. 26           d. 28

Question 8: How many even numbers are there less than 46,25?

a. 25            b. 47            c. 24          d. 23

Exam number 3: Fill in the blank with the suitable number.

Question 1: Convert 1m = ..........cm.

Question 2: Convert 1mm = ............ m

Question 3: If x is a natural number and 3,8 < x < 4,3 then x = ..............

Question 4: In the following numbers, which is the greatest?

7,568; 9,265; 8,975; 7,689; 9,256

Question 5: In the following numbers, which is the smallest?

4,92; 5,84; 4,85; 8,54; 4,58; 5,48

Question 6: Convert: 5km 2m = ............. km.

Question 7: If m is a even number and 81,32 > m > 78,54 then m = .......

Question 8: Use all the digits below to form the decimal number that is smaller than 5.

2; 5; 9; 4; 8. How many such numbers are there?

Question 9: Fill in the blank with the suitable sign (>, <, =)

Compare: 76,5 ......... 75,66

Question 10: Compare: 31,040 ........... 31,04

Question 1: Choose the calculation that has the greatest result.

a. 125,7 : 3 + 14,3

b. 365,5 : 5 - 17,8

c. 59,8 : 2 + 26,13

d. 196,4 : 4 - 7,07

Question 2: Peter counts his heart rate. He counts 8 beats per 6 seconds on average. How many beats per minute does Peter count?

a. 75                     b. 140                    c. 60                 d. 80

Question 3: Which fraction is equal to 17,5%?

a. 35/20                   b. 7/40                    c. 35/50              d. 175/100

Question 4: Mia wants to buy apple. Which is the best buy?

a. 7kg of apples for $30,38

b. 5kg of apples for $21,5

c. 6kg of apples for $26,1

d. 4kg of apples for $17,32

Question 5: The product: 20 x 21 x 22 x ..... x 40 has ....... digit 0.

a. 4                  b. 6              c. 5                    d. 3

Question 6: Which shape is colored more than 50% in green?

Question 7: If number A is increased by 60% then it will equal number B. How much percentage will B be decreased by to equal A?

a. 40%             b. 62,5%               c. 37,5%             d. 60%

Question 8: Find the smallest number that is 7 times the sum of its digits?

a. 28              b. 21                   c. 14                d. 35

Question 9: Calculate:Choose the correct answer:

a. 767/768         b. 711/768                c. 255/256             d. 85/256

Question 10: How many fractions equal 1/5 and have denominators of 2 - digit numbers?

a. 16             b. 18                   c. 22                 d. 20

Exam number 2: Your car has to pass 5 obstacles to finish. In order to overcom each obstacle, you have to answer correctly one of three problems in that obstacle. (Vượt chướng ngại vật)

Question 1: If and n is a natural number then n = ...........

Question 2: 

The perimeter of the shape is ....... cm.

Question 3: Find X if X x 8,6 - 5,2 x X - 11,06 = 5,94

Question 4: Calculate: 5,5 x (3,5 - 1,5) + 1,5 = ..............

Question 5: Calculate: 

Exam number 3: Find the blank with the suitable number

(Note: write decimal number with the comma" between number part and fraction part. Ex: 0,5)

Question 1: 5,136m³ = ............ cm³.

Question 2: 47/250 dm³ = ............. cm³.

Question 3: The perimeter of a circle is 15,7dm. Its area is ....... cm².

Question 4: Jane bought a couch. A couch costs 950 dollars. She received a 30% discount. How much of a discount did she get?

Question 5: The ratio of the number of girls to the number of boys in a classroom is 5 : 4. When 10 girls left the classroom, the ratio of the number of boys to the number of girls became 4 : 3. How many students were in the classroom at first?

Question 6: The area of a rectangle is 50m2. If it's length is increased by 10% and it's width is decreased by 20% then the area of new rectangle is ...............m².

Question 7: An aquarium is 8dm deep, 12dm long and 0,3m wide. What is the volume of the aquarium in cubic centimeter?

Question 8:

The sum of all square's area in the following figure is 375cm2. The area of the biggest square is ............ dm2.

Question 9: At a party 60% of the boys are dancing with 80% of the girls. How many people are dancing if there are 35 people? (A pair cludes only one boy and one girl)

Question 10:

Look at the following figure. AF/AB = 1/4; AE/AC = 1/3. If the area of triangle GBD is 270m² then the area of the triangle GCD is .......... m².

Let ABC be a triangle with AC =17 cm,BC = 15cm. What's the length of AC to ABC be a square triangle?

Let ABCD be a parallelogram of area \(240cm^2\). E is the midpoint of AD and H is the midpoint of AB. G is a point on BC such that \(BG=2GC\) and F is a point on CD such that \(DF=3FC\). K is a point on AC such that the area of triangle EKF is \(33cm^2\). Find the area, in \(cm^2\), of triangle HKG.