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Class VII/AE-Maths-2017


Ministry of Education
DZONGKHA COMMON EXAMINATION-2017
SARPANG
Class VII                                                                                Writing Time: 2 Hours 30 minutes
Mathematics                                                                          Total marks: 100

Read the following Directions carefully:
1.     DO NOTwrite for the first 15 minutes. This time is to be spent for reading the questions. After having read over the questions, you will be given two and half hours to answer all the questions.
2.     In this paper, there are three sections; Section A, Section B and section C. You are expected to answer ALL the question in Section A, section B and section C.
3.     Do not forget to write your name, class and section on the answer sheet.
4.     The intended marks for questions or parts of questions are given in the brackets [].
SECTION A- ANSWER ALL QUESTIONS
15 QUESTIONS- 30 MARKS
Instructions: Each question in this section is followed by four possible choices. You have to choose the correct answer and write it in the answer sheet provided.
1.    The standard form of is
A. B.
C. D.
2.    The GCF(3, 15, 9) is
A. 9                                                                    B. 3
C. 15                                                                  D. 27
3.     In 2015, Saturdays and Sundays made up of February, of June, of September and of November. The month that has greatest fraction of weekend time? is

A.JuneB February
C NovemberDSeptember
4.    The equivalent Fraction of  is:
A.  B.
 C. D.

5.             

A.                                                            B.
 C.                                                                               D.

6.              The ratio of boys to girls in a class is 5 : 3. If there are 20 boys, The number of girls in the class is
A. 8                                                                B. 15
                  C. 20                                                              D. 12
7.              10% of 300 is

A.   3B.   30                                                       C.   300                                                         D.   10


8.              Mr.Dawa shot 90 arrows and 40% were kareys. How many kareys did he hit?

A. 33                                                           B. 34
             C. 35                                                            D. 36

9.              What is thecircumference of the following the following circle:
   21 cm

A. 213B. 231
C. 123D. 132


10.          The sum of ( ̶  40 ) + ( ̶ 60 )  is                          

A.̶ 20
B.100
C.̶100
D.20

11.          Which subtraction can be shown by following model
 




A. 7 – (– 3)                                           B. (-7) – 3
            C. (– 3)  – (– 7)                                      D. 3 – 7
12.          The pattern rule in the following table, that you can use to find the value of if you know x is
X
1
2
3
4
5
6
7
Y
3
7
11
15
19
23
27


A.
B.
C.
D.

13.          “If you add 3 to 3 times a number, the result is 255”.
The equation of the sentence given above is

A.
B.
C.
D.

14.          The value of ‘k’ in the equation is

A. 8
B. 33
C. 17
D. 19

15.          The probability of getting an odd number in one spin is
 1
2
3
 4
 







A.
B.
C.
D.



SECTION B
10 QUESTIONS- 30 MARKS
Direction: There are 10 questions under this section worth 3 marks each. Answer all the questions.
  1. Using divisibility test, test 1025 for divisibility by 3 and 4. What is the remainder if it is not divisible?

  1. Calculate: 4.8 0.4 + (3 – 2.1)2

  1. 240 people were surveyed about their favorite dish. Here are the results:

Pork
Beef
Chicken
45%
30%
25%


                                                                                                                                   
         How many people choose each dish?

  1. Draw a counter model to show (+2) – (-3)

5.     Determine the area of the shaded region. Show your work                    
  1. Draw a triangle ABC with AB = 4 cm, BC = 7 cm and AC = 8 cm.       
7.     Solve the equation 2  + 7 = 19 using a model.
  1. Simplify the expressions:
a.                                         b.

  1. Find the mean, median and mode from the data 1,2,2,2,3,5,6,6,6,7,8,8,9.

10. Create a histogram for following data:
9          12        14        10        15        20        21        24        12        13        50        45
44        28        31        33        16        17        11        12        37        19        29        33
13        41        39        32        17        14        18        26        25        27        9          10





Section C
Direction: There are five questions and each question is subdivided. The marks for each question are given in the brackets.
Question 1
a. Calculate
i) LCM(30, 45)                                                                                     (3)
ii) GCF(25,35,40)
b. Locate the following integers on a number line: +1, +7, –3 , and –5                          (2)
c. Subtract (-5) – (+3) using counters.                                                                             (3)

Question 2
a. Pema drank  L and Mindu drank L of milk. How much milk did they drink in total?(2)

b. Nima jumped  steps on a wall. Sonam jumped  steps. How many fewer steps did Nima jumped?                                                                                                            (2)


c. Write each as a fraction in lowest terms:
i. 0.545454…
ii. 0.777…                                                                                                                   (2)
d. What percent of the numbers in the chart below is each?
i. Multiples of 5                    ii. Less than 65                                                       (1+1)

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100



Question 3  
a. Complete:                                           (2)
i. 0.000129kg=_______________ dg
ii. 34500 dam=____________km
b. Calculate the area of:                                   (3)
 c. Draw a rectangular prism and label its dimensions with a volume of ?   (3)          

Question 4                
a. For each pattern rule, list the variable, the coefficient and the constants. [3]
i) 3h + 5                ii)  A = πr2

b. i) Copy and complete the table.                                      ( 1+2)
x
1
2
  3
  4
5
6
7
y
3
7
11
15




 
                         


ii) Write a pattern rule you can use to find the value of y if you know x.

1         2

3         4
c. Suppose you spin the spinner twice and add the numbers. What is the probability of getting a sum of 4?                                                                                                    (2)

                                                       1111222
                                                                                              






Question 5
a. This histogram shows the results of a quiz marked out of 20 for a class.    (4)

0       3        6       9       12      15     18     20
                   
16
14
12
10
8
7
6
4
2
0
Test mark

       i.          What is the size of each interval?
     ii.          How many students got a mark between 18 and 20? How do you know?
   iii.          Identify gaps in the data.
   iv.          Is there an outlier? How can you tell?
Use this spinner to answer questions 1 to 4.

4
2
3
1
 










b. What is the probability of getting each in one spin?                              (4)
       i.          a 4
     ii.          an odd number
   iii.          a number greater than 1
   iv.          a prime number



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