Ministry of Education
DZONGKHAG COMMON EXAMINATION-2017
SARPANG
Class: VIII
Writing
Hours: 2:30 minutes
Subject:
Mathematics
Total Marks:100
READ THE FOLLOWING
DIRECTIONS CAREFULLY
1.
Do
not write for the first fifteen minutes.
This time is to be spent reading the questions.
After
having read the questions, you will be given three hours to answer all
questions.
2.
Write
your name; roll number, class, and
section clearly on the answer sheet provided to you separately.
3.
Answer
all the questions. There are three section A, B, & C
4.
All
the workings, including rough work should be attached with the answer sheet.
5.
The intended marks for each
questions are given in [ ]
SECTION A [15 x2 = 30 marks ]
Answer All
Questions
Question 1
Direction:
From a choice of four answers given against each question, choose the correct
answer and write in the answer sheet provided. More than one response for any
question will be considered invalid.
i.
Which
number from the following is scientific notation of 3.1%?
v 3.1
103
v 3.1
102
v 3.1
10-3
v 3.1
10-2
ii.
What
is the missing value of ‘X’ in
=
?
v
45
v
80
v
5
v
10
iii.
A
kg of beans has a cost price of Nu.40 and selling price of Nu.55. What is the
percent markup?
v
37.5%
v
3.75%
v
375%
v
27.2%
iv.
Which
is the expanded form of 4
100 +5
10-1+7
10-4
v
4
ones + 5 tens + 7 ten thousandths
v
4
ones + 5tenths +7 ten thousands
v
4
ones +5 tenths + 7 ten thousandths
v
4
tens + 5 tenths + 7 ten thousands
v.
Which
of the following describes the relationship between multiplication and division?
v
A
B = ? ? +
A = B
v
A
B = ? ?
B = A
v
A
B
= ? ? + B = A
v
A
B = ? ?
A
= B
vi.
The
expression 10 + (-4) -7
5 results to:
v
-21
v
-29
v
35
v
29
vii.
Sangay
Tempa and Sangay Wangdi are fastest runners of the school. The sport teacher
wanted to select one with better stamina for regional level running
competition. Sangay Tempa runs
rounds and got
selected. While Sangay Wangdi could complete only
rounds. How many rounds did they run altogether?
v
v
v
v
viii.
If ‘X’
in
and
are equal, then
v
=
2
v
=
3
v
=
18
v
=
9
ix.
The
total surface area of a cube with edge-length 5cm is
v
150
cm2
v
125
cm2
v
150
cm2
v
15
cm2
x.
If
the probability of an event is
, then what should be the probability of its
complement events?
v
Zero
v
Exactly
v
More
than 1
v
Less
than
xi.
Solve
the equation 8-3n = 23 and find out the value of ‘n’
v
15
v
5
v
-5
v
-15
xii.
When
you input m, triple it, and subtract 4, the output is 12. Which equation is
equation described above?
v
3
(m-4) = 12
v
3m-4
= 12
v
m-3
4 = 12
v
m-4 = 12
xiii.
Identify
the dilatation center in the given diagram
v
B
v
C
v
A
v
D
xiv.
The
angle that correspond to
2 in the following is ?
|
1
|
|
3
|
|
5
|
|
7
|
|
2
|
|
6
|
|
4
|
|
8
|
v
2
v
5
v
7
v
4
xv.
If
a shape is dilated, then which of the following properties describes the image?
v
Congruent
and same orientation
v
Congruent
and opposite orientation
v
Similar
and same orientation
v
Similar
and opposite orientation
SECTION B[10 x 3 =
30 marks]
Answer all Questions
Question 2
Suppose
you perform a dilatation on rectangle using a scale factor of 2.
a)
Is
it possible for the image to be completely inside the original shape? Explain
[1]
b)
Show
your work by creating your own rectangle [2]
Question
3
Chandra
slept at home for
of the day. She spent
of her waking
hours at home. What fraction of the day did she spend at home? [3]
Question 4
a)
Write
down the formula for finding the total surface area of rectangular prism. [1]
b)
Find
out the surface area of 5m by 300cm by 6m rectangular prism [2]
Question 5
A bag
contains one white ball, three grey balls, and six black balls.
TsheringDekardraw one ball from the bag. Determine the theoretical probability
of
a)
P
(white) [1
]
b)
P
(not white) [1
]
Question 6
a)
The
circumference of a circle is 10
cm. what is the area of the same circle? [2]
b)
Find
out the area [1]
|
2m
|
|
2m
|
Question 7
TashiLhamo
and Pingala conducted an experiment in which they added different masses of the
top of a spring. Draw the scatter plot to display their data. [3]
|
Mass added (ks)
|
Length of spring
(cm)
|
|
0
|
15.0
|
|
2
|
13.2
|
|
4
|
11.4
|
|
6
|
9.6
|
|
8
|
7.8
|
|
10
|
6.0
|
Question 8
a)
Is
the number below a perfect square? How do you know? [2]
2
2
3
3
3
4
4
b)
If
part (a)is not a perfect rewrite the
number and multiply with least number to make it perfect square. [1]
Question 9
For the
expression (-3x +13) + 5x + (9x – 2)
a)
List
the like terms [1]
b)
Simplify
the polynomial [1]
c)
Create
another polynomial of your own [1]
Question 10
Chicken
was selling for Nu.80 per kilogram. The shopkeeper raised the price by 5%.
Determine:
a)
Markup
[1
]
b)
New
selling price [1
]
Question 11
a)
Write
down any two strategies to multiply the integers mentally [1]
b)
Use
one of your above strategies to multiply 4
-36 [1]
c)
Briefly explain your thinking in part (a) [1]
SECTION C [8 x 5 =
40 marks]
Answer all Questions
Question 12
a)
Calculate
25
10-1 + 8
10-2[1]
b)
Write the expression 2
104 + 3
101 + 9
10-1 + 5
10-3 in:
i)
Word expansion [1
]
ii)
Standard form [1]
iii)
Scientific notation [1
]
Question 13
a)
Divide
(-6 )
2
using:
iv)
Counters [1
]
v)
number line
[1
]
b)
For
the given counters below, write
i)
division
expression [1]
ii)
multiplication expression [1]
Question 14
a)
A
rectangle has a perimeter of 18 cm and area of 14 cm2. Draw the
rectangle and lebel its dimension.
[2]
b)
Find
out the area of shaded region in the following shape. [3]
1000cm
5m
20m
Question 15
a)
Find
out the intersection point of lines y = 3x +2, y = -3x -4 [1
]
b)
Model
(5-4x) + (2x-3) with algebra tiles [1
]
c)
A
line passes through (2,6) and (3,8 )
i)
Determine
the slope [1]
ii)
Draw
a line with slope from part(i) [1]
Question 16
a)
The
ratio of boys to the girls in a school is 2:3. If the number of boys is 500,
i)
How
many girls are there in the school?
[2]
ii)
Find
out the total number of students in the school. [1]
b)
9%
of length is 36m. Find out the length using familiar percents. [2]
Question 17
a)
Insert
a pair of bracket in
-
+
to give an answer
. [3]
b)
Order
from least to greatest -
, -3, -
, -
. [2]
Question 18
The data
given below is price of geometry box in 11 shops
|
51
|
69
|
65
|
95
|
55
|
90
|
|
45
|
100
|
98
|
65
|
80
|
|
a)
Find
out the extremes and median [1]
b)
Find
out the lower quartile (Q1) and upper quartile (Q2). [1]
c)
Create
box and whisker plot . [3]
Question 19
Copy
this right triangle and perform each combination of transformation.
|
C
|
|
A
|
|
B
|
|
3cm
|
|
2cm
|
a)
Dilate
ABC by scale factor 2 using dilatation center at A.
then translate up by 2cm [3]
b)
Translate
ABC 2cm up and then 4cm down.
[2]
BEST
OF LUCK
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