Mathematics Writing Time :
2 Hours
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 two hours to answer
all questions.
2.
In this
question paper, you will find 15 questions in Section A and 14 questions in Section B (numbered from 2 to 15). You must answer all the questions. Each
question in Section A is worth 2 marks.
3.
All answers for Section ‘A’ and ‘B’ must be written in the answer sheets
provided by the school.
4.
Once the examination begins, you will not be allowed
to ask questions, speak with others or move around.
5.
If you finish before the time is over, close the
Answer Booklet, and sit quietly.
IF YOU HAVE ANY QUESTIONS, ASK
THEM NOW
TURN PAGE
(15 Minutes is to be allowed for reading as well as
for teachers on duty to explain the instructions)
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SECTION A
15 Questions [30
marks]
Answer ALL
questions
Direction: Each question
in this section is followed by three possible choices of answers. Choose the
correct answer and write it down in the answer sheet provided by the school.
Question
1.
a) What kind of fraction is 
?
?
A
Unit fraction
B Improper fraction
C Proper fraction
b) The
sum of 
and 
is
and is
A 
B 
C
c) Identify the shape that will tessellate.
A
B |
C
d) Identify
the transformation used in transforming shape A to B
A Translation
B Rotation A
C
Tessellation
e) Which
one of the following estimates the best for 32
1.2?
1.2?
A 30 1.0
1.0
B 30 1.5
1.5
C 40 2.0
2.0
f) The product of 3.9 
12.2 is
12.2 is
A 475.8
B 4.758
C
47.58
g) If
the area of a parallelogram is 80 cm2 and its height is 8 cm, then
the base is
A 88 cm
B 72 cm
C 10 cm
h) How
many kilograms would be equal to 25 tonnes?
A 25,000 kgs
B 2500 kgs
C 250 kgs
i) What
is the simplest ratio of leaves to flowers?
 |
A 1 : 2
B 2 : 1
C 2 : 4
j) What
percentage of the grid is shaded?
|
k) How many whole numbers are in between 484
million and 84 million?
A 40
million
B 400
million
C 400
thousands
l) Which of the following pair of squared
numbers gives the sum which is also a squared number?
A 49
and 25
B 4
and 9
C 9
and 16
m) The mean of 6, 10, 10 and 14 is 10
because:
A The
value of 10 is occurring most often
B The
value 10 lies between 8 and 14
C The
total is 40 when divided by 4 gives 10
n) What is the coordinate of point A?
A (+6, +3)
B (-6, +3)
C (+6, -3)
o) Which statement best describes the trend
in the graph below?
A The temperature increases
B The temperature decreases
C The temperature increases and
decreases
SECTION
B
(Answer
all the questions in this section)
Question
2.
a)
What fraction comparison
do the following pictures show? [2]
 |
 |
b)
Draw diagrams of fraction strips to subtract 
from 
and also solve it
from and also solve it
symbolically. [3]
Question
3.
a)
Write 
as
a mixed number. [1]
as
a mixed number. [1]
b)
Which decimal is
greater, 2.3 or 2.03? How do you know? [2]
c)
Arrange the
given fractions from the least to the greatest. [2]
Question 4.
a) Describe
how you can transform shape A to shape B using combination of two transformations. [2]
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A
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B
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b)
Measure the
angles of the given triangle. [2]
 |
y
x z
Question
5.
a)
Name
the following quadrilaterals. [2]
Name
the following quadrilaterals. [2]
i)
ii)
ii)
b)
Use the given cube
structure to draw the following orthographic shapes. [3]
i)
Front
view
Front
view
ii)
Left view
iii)
Back view
Front
Question
6.
a)
Calculate: 49.26 ÷ 6 [2]
b)
Calculate: 3.2 + (10 – 4 ) ÷ 1.2 [3]
Question
7.
a) Copy
and complete the statement with operation signs. [3]
1.2 8 2
= 7.2
b) Estimate to decide which of the following calculations
is correct. [2]
i) 320 ÷ 1.6 = 20
ii) 528.6 ÷ 6 = 88.1
Question
8.
a)
Find the volume
of the given cuboid. [1]
 |
8 cm
10cm
b) Sketch
and level two different rectangular prisms both of which have a volume
of 40 cm³. [4]
Question
9.
a)
Rewrite the
given time in 24-hour clock time. [3]
i)
1:23 pm
ii)
12 noon
iii)
5:30 am
b)
Calculate
the area of the given shape. [2]
Calculate
the area of the given shape. [2]
30 cm 25 cm
15 cm
30 cm
Question
10.
a)
Rename 45% as a
fraction and as a decimal. [2]
b)
60% of 45
students are girls. Find the number of boys and girls. [3]
Question
11.
a)
Deki can write 32 words in 1
minute and Pema can write 450 words in 15 minutes.
How many words
can Deki write in 15 minutes? Who can write more words? [3]
b)
What percent of numbers from 1 to
100 are multiples of 11 in the 100 chart
given below? How do you know? [2]
1
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2
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3
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4
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5
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6
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7
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8
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9
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10
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11
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12
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13
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14
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15
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16
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17
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18
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19
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20
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21
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22
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23
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24
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25
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26
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27
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28
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29
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30
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31
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32
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33
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34
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35
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36
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37
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38
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39
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40
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41
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42
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43
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44
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45
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46
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47
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48
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49
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50
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51
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52
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53
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54
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55
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56
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57
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58
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59
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60
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61
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62
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63
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64
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6 5
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66
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67
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68
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69
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70
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71
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72
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73
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74
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75
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76
|
77
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7 8
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79
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80
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81
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82
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83
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84
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85
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86
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87
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88
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89
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90
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91
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92
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93
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94
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95
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96
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97
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98
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99
|
100
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Question
12.
a) What
place is to the right of the one thousandth’s places in the place value chart
given below? How many hundredths are there in the number
234.2345?
How many tens
are there in the same number? [3]
Thousand
|
Hundreds
|
tens
|
Ones
|
Tenth
|
Hundredth
|
Thousandth
|
?
|
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b)
Find the common
factors of 36 and 42. [2]
Question
13.
a)
What number on the
number line is twice as far from ־1 as it is
from +1. [2]
 |
־3 ־2 ־1 0
1 2 3
b)
i) Choose and write down all the prime numbers
from the box below. [3]
1
2 3 4
5 6 7
8 9
10 11
12 13 14
15 16 17
18 19 20
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ii) Why are they prime
numbers?
Question
14.
a)
The ages of a
group of people at a party are listed below. [2]
9, 12,
35, 35, 58,
56, 45, 21, 8
i)
What is the
median age?
ii)
What is the mode
age?
b) Create
a double bar graph to show the number of boys and girls of different classes
Use the given
data. [4]
Class
|
No. of boys
|
No. of girls
|
III
|
20
|
30
|
IV
|
18
|
26
|
V
|
22
|
18
|
VI
|
20
|
22
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Question
15.
a)
The following Stem and Leaf plot
displays the ages of a group of people.
Use it to answer
the given questions. [3]
1 0 1
2 2 2
4 5 5
2 0 0
1 2 2
3 8
3 0 0
3 5 5
4
0
i)
How many persons
are 12 years old?
ii)
How many people
are there in the group?
iii)
What is the age
difference between the oldest person and the youngest person?
b) (i)
What is the probability of getting the number 5 when you roll a six sided die? [2]
(ii) What is the probability of getting an even
number when you roll a six sided die?
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