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Math
Grade 7
Quick Topics
Grade 7 Math
1
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S Korea School Math
Competitive Exams
Quick Topics
Integers
Sample Question
Simplify
-6532
-71
+
-3286
-62
+
-2304
-48
-
-2597
49
A.
247
B.
246
C.
244
D.
254
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Fractions and Decimals
Sample Question
Sum of three like fractions is
19
9
. The first two fractions are
2
9
and
8
9
. Find the third fraction.
A.
14
9
B.
9
9
C.
10
9
D.
9
12
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Data Handling - Probability, Statistics
Sample Question
If the mean of ^@ 4 ^@ observations ^@ x, x + 2, x + 4, x + 6^@ is ^@ 6 ^@, find the value of ^@ x.^@
A.
^@ 8 ^@
B.
^@ 3 ^@
C.
^@ 10 ^@
D.
^@ 5 ^@
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Simple Equations
Sample Question
A train traveling at 42 kilometers per hour, passes through a tunnel in 6 minutes. A second train, twice as long as the first one, traveling at the same speed, takes 7 minutes to pass through the tunnel. What is the length of the second train?
A.
1200 m
B.
1400 m
C.
1350 m
D.
1500 m
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Lines and Angles
Sample Question
If lines XY and MN intersect as shown below and a:b = 2:3, find c.
A.
117°
B.
126°
C.
133°
D.
130°
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Triangle and its properties
Sample Question
Angles A, B, and C of a triangle are in the ratio 6:9:5. What is the value of angle C?
A.
36°
B.
63°
C.
45°
D.
27°
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Congruence of Triangles
Sample Question
Which of the following properties can prove that two triangles are congruent?
A.
SSS
B.
SAS
C.
ASA
D.
All of these
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Comparing Quantities
Sample Question
Find the ^@SP^@ of an article whose ^@CP^@ is ^@ ₩ 403 ^@ and sold at a loss of ^@31\%^@.
A.
^@ ₩ 278.07 ^@
B.
^@ ₩ 283.07 ^@
C.
^@ ₩ 290.07 ^@
D.
^@ ₩ 331.07 ^@
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Rational Numbers
Sample Question
If the sum of both the horizontal and the vertical rows is same, find the missing rational number.
8
23
3
23
3
23
2
23
A.
7
23
B.
9
23
C.
10
23
D.
8
23
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Mensuration - Perimeter, Area, Volume
Sample Question
The radius of the unshaded circles is 3 cm, 4 cm, and 5 cm, respectively. Find the area of the shaded region. (For this question assume π = 3)
A.
279 cm
2
B.
284 cm
2
C.
280 cm
2
D.
282 cm
2
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Algebric Expressions
Sample Question
If the power plant is
16
b
2
+ 6
b
+ 1
km from Seoyeon's house, how far is stadium from chemist?
3
b
2
- 5
b
+ 4
←¯¯¯¯¯→
?
←¯¯¯¯¯→
8
b
2
+ 6
b
- 6
←¯¯¯¯¯→
House
chemist
stadium
power plant
A.
5
b
2
+ 5
b
- 3
B.
-5
b
2
+ 5
b
+ 3
C.
5
b
2
+ 5
b
+ 3
D.
5
b
2
- 5
b
+ 3
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Exponents and Powers
Sample Question
^@\left( \dfrac{ 1 }{ 1 } \right)^{ -3 } + \left( \dfrac{ 4 } { 5 } \right)^{ -1 }^@
A.
^@\dfrac { 8 }{ 4 }^@
B.
^@\dfrac { 9 }{ 4 }^@
C.
^@\dfrac { 4 }{ 9 }^@
D.
^@\dfrac { 5 }{ -1 }^@
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Symmetry
Sample Question
Which of the following options show the reflection of the image over the dotted line ?
A.
B.
C.
D.
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Percentage
Sample Question
Write ^@22 \space mm^@ as a percentange of a ^@cm^@.
A.
^@ 221 \% ^@
B.
^@ 222 \% ^@
C.
^@ 220 \% ^@
D.
^@ 219 \% ^@
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Fractions
Sample Question
Write these decimal numbers in expanded form:
7514.674
A.
7000 + 500 + 10 + 4 +
6
10
+
7
100
+
4
1000
B.
700 + 50 + 1 +
4
10
+
6
100
+
7
1000
+
4
10000
C.
70 + 5 +
1
10
+
4
100
+
6
1000
+
7
10000
+
4
10000
D.
70000 + 5000 + 100 + 40 + 6 +
7
10
+
4
100
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Algebra-Expressions and Equations
Sample Question
Multiply ^@6x y^@ by ^@(10 x - 12 xy)^@.
A.
^@ 6 x^2 y - 72 x^2 y^2 ^@
B.
^@ 60 x^2 y - 72 x^2 y^2 ^@
C.
^@ 60 x y - 72 x^2 y^2 ^@
D.
^@ x^2 y - 72 x y^2 ^@
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First three months in school
Sample Question
Take away one hundredths eight times from 1 and you are left with
A.
0.92
B.
0.01
C.
0.08
D.
none of these
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2nd quarter in school
Sample Question
Find the value of
z
from equation
(z + 1)
2
- (z - 2)
2
= 27
.
Hint : Use the identity
(a+b) (a-b) = a
2
- b
2
A.
z = 4
B.
z = 6
C.
z = 5
D.
z = 7
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3rd quarter in school
Sample Question
The perimeter of the triangle whose sides are 14 m, 22 m and 11 m is
A.
51 m
B.
41 m
C.
61 m
D.
47 m
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Full Year 7th Grade Review
Sample Question
If two angles of a triangle are 60° each, then the triangle is called an:
A.
equilateral triangle
B.
isoceles triangle
C.
scalene triangle
D.
right triangle
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