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Grade 6

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Đỗ Phi Phi
11/01/2018 at 23:12
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In the United States, Thanksgiving is celebrated on the fourth Thursday in November. Which of the following statements is (are) true?

I. Thanksgiving is always the last Thursday in November.

II. Thanksgiving is never celebrated on November 22.

III. Thanksgiving can not be celebrated on the same date 2 years in a row

Grade 6NumbersCalendar

  • ...
    FA Liên Quân Garena 12/01/2018 at 12:25

    Sentence 1: Thanksgiving is always the last Thursday of November

  • ...
    Nguyễn Thị Thanh Hiền 12/01/2018 at 09:39

    Sentence 1: Thanksgiving is always the last Thursday of November

  • ...
    nguyễn hồng quân 13/04/2018 at 09:09

    câu 1 là đúngbanhqua


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Đỗ Phi Phi
11/01/2018 at 23:07
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In the figure at the right, how many paths are there from A to X X A

if the only ways to move are up and to the right? 

(A) 4          (B) 5          (C) 6           (D) 8         (E) 9

Grade 6Numbers

  • ...
    Lê Quốc Trần Anh Coordinator 12/01/2018 at 16:38
    My answer is C: 6 Đỗ Phi Phi selected this answer.
  • ...
    FA Liên Quân Garena 12/01/2018 at 12:26

    (D)8 or (E)9

  • ...
    Nguyễn Thị Thanh Hiền 12/01/2018 at 09:42

    (D)8 or (E)9


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Đỗ Phi Phi
08/01/2018 at 21:28
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If 0< a< b< 1. which of the following is (are) true?

I. a- b is negative

II.  \(\dfrac{1}{ab}\) is positive

III. \(\dfrac{1}{b}\) - \(\dfrac{1}{a}\) is positive

(A) I only           (B) II only           (C) III only           (D) I and II only          (E) I, II and III

 

FractionGrade 6Numbers

  • ...
    FA Liên Quân Garena 08/01/2018 at 21:40

    I chose the answer : E

  • ...
    Yuki Judai 20/01/2018 at 06:50

    hjh.hj.kjh,jhb,bjv,

  • ...
    Trương Như Hoàng 08/01/2018 at 22:22

    I choose D because :
    a<b => a-b<0 which means a-b is negative so I is true.

    0<a<b => ab>0 => \(\dfrac{1}{ab}\) is positive so II is true.

    \(\dfrac{1}{b}\) -\(\dfrac{1}{a}\)=\(\dfrac{a-b}{ab}\) but a-b<0 and ab>0 => \(\dfrac{a-b}{ab}\) is negative so III is false


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Amano Ichigo
07/10/2017 at 17:50
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1
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so 862426 co so tan cung la bao nhieu ?

Grade 6

  • ...
    Help you solve math 07/10/2017 at 17:56

    We have :  6x6 , 36x6 , ...

    So the result is 6

    Amano Ichigo selected this answer.

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Amano Ichigo
04/09/2017 at 20:21
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Vẽ hai đường thẳng xy và zt cắt nhau tại O. Lấy A thuộc tia Ox, B thuộc tia Ot, C thuộc tia Oy, D thuộc tia Oz sao cho OA = OC = 3cm, OB = 2cm, OD = 2 OB.

Grade 6

  • ...
    Math You Like 04/09/2017 at 20:34

    You should post the question in English

    Amano Ichigo selected this answer.
  • ...
    Amano Ichigo 04/09/2017 at 21:01

    mk rất khó để viết bài toán bằng tiếng anh bởi vì mk ko bt nhiều về tiếng anh du mk giới


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Đỗ Phi Phi
26/07/2017 at 23:22
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Michael threw 8 darts at the dartboard shown.

3 5 7 9 All eight darts hit the dartboard. Which of the following could have been his total score?

  A.22                      B.37                C.42              D.69                 E.76

Grade 6grade 5

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    Lê Quốc Trần Anh Coordinator 27/07/2017 at 09:09

    Because he threw 8 darts at the dartboard => The score must be even. (Odd + Odd = Even)

    The most score that he could throw is: \(8.9=72\left(points\right)\)

    The least score that he can throw is: \(8.3=24\left(points\right)\)

    Satisfy all this operation, only \(C.42\) could be his score.

    So the answer is C

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  • ...
    FA KAKALOTS 08/02/2018 at 22:01

    Because he threw 8 darts at the dartboard => The score must be even. (Odd + Odd = Even)

    The most score that he could throw is: 8.9=72(points)

    The least score that he can throw is: 8.3=24(points)

    Satisfy all this operation, only C.42

     could be his score.

    So the answer is C


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Đỗ Phi Phi
26/07/2017 at 22:56
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Andrew has two children, David and Helen. The sum of their three ages is 49. David's age is three times that of  Helen. In 5 years time, Andrew's age will be three times David's age. What is the product of their ages now?

Grade 6grade 5

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    Phan Thanh Tinh Coordinator 26/07/2017 at 23:42

    Let A,D,H be the age of each person respectively.We have :

    \(\circledast A+D+H=49;\circledast D=3H;\circledast A+5=3\left(D+5\right)\)

    \(\Rightarrow H=\dfrac{1}{3}D;A=3D+10\)

    \(\Rightarrow\left(3D+10\right)+D+\dfrac{1}{3}D=49\Rightarrow\dfrac{13}{3}D=39\Rightarrow D=9\)

    \(\Rightarrow H=3;A=37\Rightarrow A.D.H=37.9.3=999\)

    So,the product of their ages is 999

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  • ...
    FA KAKALOTS 08/02/2018 at 22:01

    Let A,D,H be the age of each person respectively.We have :

    ⊛A+D+H=49;⊛D=3H;⊛A+5=3(D+5)

    ⇒H=13D;A=3D+10

    ⇒(3D+10)+D+13D=49⇒133D=39⇒D=9

    ⇒H=3;A=37⇒A.D.H=37.9.3=999

    So,the product of their ages is 999


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Đỗ Phi Phi
26/07/2017 at 22:52
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A rhombus-shaped tile is formed by joining two equilateral triangles together. Three of these tiles are combined edge to edge to form a variety of shapesas in the example given.

How many different shaped can be formed? (Shapes which are reflections or rotations of other shapes are not considered different.)

Shapegrade 5Grade 6


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Đỗ Phi Phi
26/07/2017 at 22:44
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6 9 12 This cube has a different whole number on each face, and has the property that whichever pair of opposite faces is chosen, the two numbers multiply to give the same result.What is the smallest possible total of all 6 numbers on the cube?

numbergrade 5Grade 6

  • ...
    FA KAKALOTS 08/02/2018 at 22:01

    Because this topic is not to say that the faces should be different so that their sum is the smallest, then the remaining 3 [can be said to be x, y, z] smallest and satisfy:
      - 12*x = 9*y = 6*z
    => x = y = z = 0 is the smallest
    So the sum is: 0 + 0 + 0 + 6 + 9 + 12 = 27
    Answer: 27

  • ...
    Dao Trong Luan 28/07/2017 at 19:04

    Because this topic is not to say that the faces should be different so that their sum is the smallest, then the remaining 3 [can be said to be x, y, z] smallest and satisfy:
      - 12*x = 9*y = 6*z
    => x = y = z = 0 is the smallest
    So the sum is: 0 + 0 + 0 + 6 + 9 + 12 = 27
    Answer: 27


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Đỗ Phi Phi
26/07/2017 at 22:28
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Rani wrote down the numbers from 1 to 100 on a piece of paper and then correctly added up all the individual digits of the numbers. What sum did she obtain?

grade 5Grade 6number

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    Searching4You 27/07/2017 at 09:29

    The answer is 901.

    From 1 to 9 we have sum : 45.

    From 10 to 19 we have : 1 + 0 + 1 + 1 + 1 + 2 + 1 + 3 +...+ 1 + 9 we have sum 55.

    Next from 20 to 29 we have sum 65.

    ................. 30 to 39 we have sum 75.

    ................. 40 to 49 we have sum 85.

    ................. 50 to 59 we have sum 95.

    ................. 60 to 69 we have sum 105.

    ................. 70 to 79 we have sum 115.

    ................. 80 to 89 we have sum 125.

    ................. 90 to 99 we have sum 135.

    And the last 100 we have sum 1 + 0 + 0 = 1.

    So the sum she obtained is : 65 + 75 + 85 + 95 +105 +115 +125 +135 + 1 = 901.

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  • ...
    FA KAKALOTS 08/02/2018 at 22:01

    The answer is 901.

    From 1 to 9 we have sum : 45.

    From 10 to 19 we have : 1 + 0 + 1 + 1 + 1 + 2 + 1 + 3 +...+ 1 + 9 we have sum 55.

    Next from 20 to 29 we have sum 65.

    ................. 30 to 39 we have sum 75.

    ................. 40 to 49 we have sum 85.

    ................. 50 to 59 we have sum 95.

    ................. 60 to 69 we have sum 105.

    ................. 70 to 79 we have sum 115.

    ................. 80 to 89 we have sum 125.

    ................. 90 to 99 we have sum 135.

    And the last 100 we have sum 1 + 0 + 0 = 1.

    So the sum she obtained is : 65 + 75 + 85 + 95 +105 +115 +125 +135 + 1 = 901.

  • ...
    Lê Quốc Trần Anh Coordinator 27/07/2017 at 09:24

    From 1 to 9 the sum of the individual digits are: \(1+2+3+4+5+6+7+8+9=45\)

    From 10 to 19: the tens digit all have the same digit, the ones digit have the rules from 1 to 9.

    So as the same with 20-99.

    The number 100 has the individual digits sum: \(1+0+0=1\)

    She has obtained the sum: \(\left[\left(1+2+3+4+5+6+7+8+9\right).10\right]+\left[\left(1+2+3+4+5+6+7+8+9\right).10\right]+1\)

    \(=450+450+1=901\)

    So she obtained the sum: \(901\)


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Đỗ Phi Phi
26/07/2017 at 22:25
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Traffic signals at each intersection on a main road all change on the same 2-minute cycle. A taxi driver khows that it is exactly 3.5 km from one intersection to the next. Without breaking the 50km/h speed limit, what is the highest average speed, in kilometres per hour, he can travel to get to each intersection as it just changs to green?

Rate and SpeedGrade 6grade 5

  • ...
    Searching4You 27/07/2017 at 09:39

    It's a good problem :((

    So we have the time is \(\dfrac{2}{60}\left(hour\right)=\dfrac{1}{30}\)

    So we have the speed to get to each intersection right on the first time is : \(\dfrac{3,5}{x}=\dfrac{1}{30}\Rightarrow x=105\) (kilometres per hour).

    So he can travel to get to each intersection at the third time as it just changes to green at the speed of \(\dfrac{105}{3}=35\) (kilometres per hour)

    That's what I think :))

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  • ...
    FA KAKALOTS 08/02/2018 at 22:02

    It's a good problem :((

    So we have the time is 260(hour)=130

    So we have the speed to get to each intersection right on the first time is : 3,5x=130⇒x=105

     (kilometres per hour).

    So he can travel to get to each intersection at the third time as it just changes to green at the speed of 1053=35

     (kilometres per hour)

    That's what I think :))


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Đỗ Phi Phi
26/07/2017 at 22:18
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A 5 x 5 x 5 cube has a 1 x 1 x 5 hole cut through from one side to the opposite side a 3 x 1 x 5 hole through another and a 3 x 1 x 5 hole through the third.

   The number of 1 x 1 x 1 cubes removed in this process is:

A.25           B.29              C.36              D.48          E.92

grade 5Grade 6


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Đỗ Phi Phi
26/07/2017 at 22:14
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Damian mkes a straight cut through a painted cube, dividing it into two parts. The unpainted face created by the cut could not be be which of the following?

A.an equilateral triangle                         B. a right-angled triangle

C. a trapezium                 D. a pentagon                      E. a hexagon

grade 5Grade 6


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Đỗ Phi Phi
26/07/2017 at 22:09
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A rectangle tile has a perimeter of 24 cm. When Sally places four os these tiles in a row to create a langer rectangle, she finds the perimeter is double the perimeter of a singer tile. What would be the perimeter of the rectangle formed by adding another 46 tiles to make a row of 50 tiles?

          A.306              B.400                C.416             D.480               E.162

Grade 6grade 5


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Đỗ Phi Phi
26/07/2017 at 21:59
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Jasdeep plays a game in which he has to write the numbers 1 to 6 on the faces of a cube. However, he loses a point if he puts two numbers which differ by 1 on faces which share a common edge. What is the least number of points he can lose?

      A.0               B.1                   C.2                 D.3                      E.4

Grade 6grade 5

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    Lê Quốc Trần Anh Coordinator 27/07/2017 at 09:33

    We put the numbers 1-2 ; 3-4 and 5-6 opposite each other. So then 2-3 and 4-5 will have the same side. So he will lose at least 2 points.

    So the answer is: \(C:2points.\)


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Đỗ Phi Phi
26/07/2017 at 21:56
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I can walk at 4km/h and ride my bike at 20km/h. I take 24 minutes less when I ride my bike to the station than when I walk. How many kilometres do I live from the station?

hourGrade 6grade 5

  • ...
    Kayasari Ryuunosuke Coordinator 26/07/2017 at 22:28

    ohhh.....! I'm sorry , the last row will be :

    So , there are 120 kilometres do you live from the station . 

    Selected by MathYouLike
  • ...
    FA KAKALOTS 08/02/2018 at 22:02

    Let {V1=4V2=20

     (km/h)  

    We got this :

    S=V.t

     (with t is the time , S is the length of roads and V is the speed)

    ⇒⎧⎪ ⎪ ⎪⎨⎪ ⎪ ⎪⎩t1=SV1t2=SV2

    From the topic :

    t1=t2+24

      (minute)

    ⇔SV1=SV2+24

    ⇔S4=S20+24

    ⇔S4=S+24.2020

    <=> 20S = 4S + 4.20.24

    <=> 16S = 4.20.24

    <=> S = 120 (km)

    So , there are 20 kilometres do you live from the station .

  • ...
    Kayasari Ryuunosuke Coordinator 26/07/2017 at 22:20

    Let \(\left\{{}\begin{matrix}V_1=4\\V_2=20\end{matrix}\right.\) (km/h)  

    We got this :

    \(S=V.t\) (with t is the time , S is the length of roads and V is the speed)

    \(\Rightarrow\left\{{}\begin{matrix}t_1=\dfrac{S}{V_1}\\t_2=\dfrac{S}{V_2}\end{matrix}\right.\)

    From the topic :

    \(t_1=t_2+24\)  (minute)

    \(\Leftrightarrow\dfrac{S}{V_1}=\dfrac{S}{V_2}+24\)

    \(\Leftrightarrow\dfrac{S}{4}=\dfrac{S}{20}+24\)

    \(\Leftrightarrow\dfrac{S}{4}=\dfrac{S+24.20}{20}\)

    <=> 20S = 4S + 4.20.24

    <=> 16S = 4.20.24

    <=> S = 120 (km)

    So , there are 20 kilometres do you live from the station . 


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Đỗ Phi Phi
26/07/2017 at 21:49
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There is a total of  $25 in $2, $1 and 50c coins on a table. Peter notices that there are 20 coins altogether and that there are two more $2 coins than $1 coins. How many 50c coins are there?

Grade 6grade 5


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Đỗ Phi Phi
26/07/2017 at 21:45
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How many different isosceles triangles can be drawn with sides that can be only 2cm, 3cm, 7cm or 11cm in length? Note that equilateral triangles are isosceles triangles.

Grade 6grade 5

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    Lý Tiểu Phi Đao Không Bằng Mình Tao Phi Dép 27/07/2017 at 07:08

    No isosceles triangles . Because 2 < 3 < 7 < 11

    There is no equal edge 


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Đỗ Phi Phi
26/07/2017 at 21:28
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after half an hour Maya notices that she is one-third of the way through her homework questions. If she keeps working at a similar rate, how much longer, in minutes, can she expect her homework to take?

   

grade 5Grade 6minute

  • ...
    Phan Thanh Tinh Coordinator 26/07/2017 at 23:22

    Convert : 1/2 hour = 30 minutes

    The number of minutes it takes Maya to finish her homework questions is : \(30:\dfrac{1}{3}=90\)

    The number of minutes it takes Mây to finish the remaining questions is : 90 - 30 = 60

    So,the answer is 60 minutes

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  • ...
    FA KAKALOTS 08/02/2018 at 22:03

    Convert : 1/2 hour = 30 minutes

    The number of minutes it takes Maya to finish her homework questions is : 30:13=90

    The number of minutes it takes Mây to finish the remaining questions is : 90 - 30 = 60

    So,the answer is 60 minutes


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