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Home
Math
Grade 7
Grade 7 Math
1
2
3
4
5
6
7
8
9
10
Germany School Math
Competitive Exams
Quick Topics
Integers
Sample Question
The average of any four consecutive odd integers is always:
A.
a decimal number
B.
even
C.
odd
D.
a proper fraction
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Fractions and Decimals
Sample Question
Pierre has 525 toffees that he wants to distribute on his birthday. He distributes
4
5
of these in the class. Out of the remaining toffees, he distributes
3
5
to his teachers. How many toffees are left with him?
A.
31
B.
42
C.
36
D.
105
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Data Handling - Probability, Statistics
Sample Question
From a deck of cards, Larissa randomly withdraws a card. What is the probability that the card is a black Jack?
A.
1
26
B.
1
11
C.
1
15
D.
1
2
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Simple Equations
Sample Question
A number is multiplied by 10 and 6 is added to their product. If their result is 96, what was the original number?
A.
10
B.
7
C.
12
D.
9
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Lines and Angles
Sample Question
Find the measure of angle x.
A.
70°
B.
50°
C.
40°
D.
310°
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Triangle and its properties
Sample Question
In a triangle, the first angle is two-third of the second angle and the second angle is three times the third angle. What is the value of the first angle?
A.
60
∘
B.
30
∘
C.
45
∘
D.
90
∘
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Congruence of Triangles
Sample Question
Which of the following statement is false ?
A.
If two triangles are equal in area, they are congruent.
B.
Two circles are congruent if they have the same radius.
C.
Two angles are congruent if they have the same measure.
D.
Two squares are congruent if they have the same side length.
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Comparing Quantities
Sample Question
The length of a rectangle is increased by 25 %, and the breadth is reduced by 31 %. What is the percentage change in the area of the rectangle?
A.
13.75
B.
12.55
C.
15.65
D.
14.45
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Rational Numbers
Sample Question
Simplify:
−
1
5
56
×
38
1
2
A.
−
44
B.
−
41
15
16
C.
−
41
5
6
D.
−
42
15
16
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Mensuration - Perimeter, Area, Volume
Sample Question
Which of the following shapes represent the same perimeter?
A.
B.
C.
D.
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Algebric Expressions
Sample Question
By following the shown pattern, find how many books will be there in "Pattern
m
".
Pattern 1
Pattern 2
Pattern 3
A.
2
m
2
+
m
+ 2
B.
2
m
+ 3
C.
2
m
2
+ 2
m
+ 1
D.
m
2
+ 2
m
+ 2
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Exponents and Powers
Sample Question
Simplify:
(
4
3
)
2
×
(
−
2
5
)
3
A.
−
64
563
B.
−
43
375
C.
−
128
1125
D.
−
16
141
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Symmetry
Sample Question
Find the order of rotational symmetry in the given image.
A.
4
B.
3
C.
6
D.
5
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Percentage
Sample Question
€8 + (100% of €8) + (8% of €100) = ?
A.
€808
B.
€16
C.
€888
D.
€24
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Fractions
Sample Question
Add
11
12
and
3
7
and write the result in the simplest form.
A.
1
31
84
B.
1
29
84
C.
2
29
84
D.
1
6
84
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Algebra-Expressions and Equations
Sample Question
In a school,
54
%
boys study English and
184
boys don't. Total number of boys in the school are:
A.
413
B.
216
C.
400
D.
99
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First three months in school
Sample Question
Find the missing number.
528
÷
?
=
−
44
A.
23232
B.
−
20
C.
−
12
D.
−
3
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2nd quarter in school
Sample Question
What is the value of (
-7
y
2
- 1
) − (
4
y
2
+ 8
y
- 8
), when
y
= 3?
A.
-117
B.
-115
C.
-116
D.
-118
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3rd quarter in school
Sample Question
What is the perimeter of the shaded figure?
6
5
4
3
2
1
0
1
2
3
4
5
6
A.
14
units
B.
18
units
C.
13
units
D.
16
units
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Full Year 7th Grade Review
Sample Question
What should be added to
23
6
to get
5
9
?
A.
−
31
9
B.
−
29
9
C.
−
59
18
D.
−
65
18
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