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Math
Grade 6
Quick Topics
Grade 6 Math
1
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3
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Japan School Math
Competitive Exams
Quick Topics
Large Numbers
Sample Question
The sum of two numbers is 27270. If one of the addends is four times the other addend, then what is the value of the smaller addend?
A.
21816
B.
5454
C.
5789
D.
none of these
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Natural and Whole Numbers
Sample Question
The predecessor of 9777 is:
A.
9782
B.
9776
C.
9778
D.
9775
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LCM and HCF
Sample Question
What is the largest number that divides 1206 and 546 leaving a remainder of 6?
A.
58
B.
10798
C.
60
D.
10800
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Integers
Sample Question
If
a
,
b
, and
c
are integers, then according to the associative law of multiplication, (
a
×
b
) ×
c
must be equal to:
A.
(
a
−
b
) ×
c
B.
a
×
b
+
a
×
c
C.
a
× (
b
×
c
)
D.
a
× (
b
+
c
)
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First three months in school
Sample Question
How many 8-digit whole numbers are there in the base-10 system?
A.
9999999
B.
90000000
C.
10000000
D.
100000000
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Fractions
Sample Question
Which of the following image has the fraction of the shaded part as an improper fraction?
A.
B.
C.
D.
None of these
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Decimals
Sample Question
Divide 290.778 by 60.
A.
4.8463
B.
48.463
C.
0.48463
D.
484.63
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Second quarter at school
Sample Question
Take away one hundredths three times from 1 and you are left with
A.
0.97
B.
0.03
C.
0.01
D.
none of these
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Ratio and Proportion
Sample Question
Choose the correct option for:
^@ \dfrac { 64 } { 40 } = \dfrac { 8 } { \Box } = \dfrac { \Box } { 20 } ^@
A.
^@ { \dfrac { 64 } { 40 } = \dfrac { 11 } { 5 } = \dfrac { 36 } { 20 } } ^@
B.
^@ { \dfrac { 64 } { 40 } = \dfrac { 9 } { 5 } = \dfrac { 32 } { 20 } } ^@
C.
^@ { \dfrac { 64 } { 40 } = \dfrac { 13 } { 8 } = \dfrac { 32 } { 20 } } ^@
D.
^@ { \dfrac { 64 } { 40 } = \dfrac { 8 } { 5 } = \dfrac { 32 } { 20 } } ^@
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Percentage
Sample Question
Ayumu stays in the school hostel and gets ¥2800 from home every month. She spends 23% of it on the hostel fee. What is the monthly hostel fee?
A.
¥644
B.
¥669.2
C.
¥657.8
D.
¥642.1
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Geometry
Sample Question
What do we call the boundary shown in the given circle?
A.
Center
B.
Sector
C.
Circumference
D.
Semicircle
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Third quarter at school
Sample Question
If AB and DE are parallel, find the value of ∠ACB.
A.
110°
B.
106°
C.
100°
D.
105°
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Algebra
Sample Question
In a school, 28% girls study science and 324 girls don't. Total number of girls in the school are:
A.
450
B.
90
C.
126
D.
469
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Fourth quarter at school
Sample Question
The number of schools in Sendai is 15 less than twice the number of schools in Yokohama. If the number of schools in Yokohama is
p
, how many schools are there in Sendai?
A.
15
p
+ 2
B.
2
p
+ 15
C.
15
p
- 2
D.
2
p
- 15
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Logical Reasoning
Sample Question
If A ♥ B means
A + B
2
, what is the value of 6 ♥ (7 ♥ 9)?
A.
7
B.
5
C.
11
D.
9
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Full Year 6th Grade Review
Sample Question
Write the equation which can describe the relationship between x and y.
x
y
2
5
3
8
4
11
5
14
6
17
A.
y =
x
B.
y =
3
x
+ 1
C.
y =
3
x
- 1
D.
y =
x
- 2
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Japan