How much do you remember from last year?
International School Grade 9
www.Klassenarbeiten.de Seite 1
How much do you remember from last year?How much do you remember from last year?How much do you remember from last year?How much do you remember from last year?
1) Evaluate the following!
a) 4 – 9 = b) -2 – 6 =
c) 3 + 2 · 4 = d) 40 + 112 =
e) 䙲⡩
⡳䙳⡹⡩
㐄 f) ⡩
⡰ ㎗ ⡰
⡱ 㐄
g) 2⡩
⡲ · ⡶
⡱ 㐄
2) Simplify!
a) -8x + 5x = b) (4x) (2x2) =
c) ➃➄
➁➆ 㐄
3) Solve the following equations!
a) 4x + 8 = 20 b) 3x – 6 = 6x + 5c) ⤴ ⡹ ⡱
⡱ 㐄 ⡳
⡰
4) Ratio of number of shoes of two sisters is 3:5. If together they have 16
shoes how many shoes do each of them have?
answer: _________________________________________________
5) Write the following numbers in three significant figures!
a) 0.047683 = b) 87324 =
International School Grade 9
www.Klassenarbeiten.de Seite 1
How much do you remember from last year?How much do you remember from last year?How much do you remember from last year?How much do you remember from last year?
1) Evaluate the following!
a) 4 – 9 = b) -2 – 6 =
c) 3 + 2 · 4 = d) 40 + 112 =
e) 䙲⡩
⡳䙳⡹⡩
㐄 f) ⡩
⡰ ㎗ ⡰
⡱ 㐄
g) 2⡩
⡲ · ⡶
⡱ 㐄
2) Simplify!
a) -8x + 5x = b) (4x) (2x2) =
c) ➃➄
➁➆ 㐄
3) Solve the following equations!
a) 4x + 8 = 20 b) 3x – 6 = 6x + 5c) ⤴ ⡹ ⡱
⡱ 㐄 ⡳
⡰
4) Ratio of number of shoes of two sisters is 3:5. If together they have 16
shoes how many shoes do each of them have?
answer: _________________________________________________
5) Write the following numbers in three significant figures!
a) 0.047683 = b) 87324 =
Lösungen How much do you remember from last year?
International School Grade 9
www.Klassenarbeiten.de Seite 2
1) Evaluate the following!
a) 4 – 9 = -5 b) -2 – 6 = -8
c) 3 + 2 · 4 = 3 + 8 = 11 d) 40 + 112 = 1 + 1 = 2
e) 䙲⡩
⡳䙳⡹⡩
㐄 ⡩
ㄗ
ㄡ
= 1 · 5 = 5 f) ⡩
⡰ ㎗ ⡰
⡱ 㐄 ⡱
⡴ ㎗ ⡲
⡴ 㐄 ⡵
⡴ 㐄 1 ⡩
⡴
g) 2⡩
⡲ · ⡶
⡱ 㐄 ⡷
⡲ · ⡶
⡱ 㐄 ⡱
⡩ · ⡰
⡩ 㐄 6
2) Simplify!
a) -8x + 5x = -3x b) (4x)(2x2) = 8x3
c) ⡴ㄣ
⡲ㄥ 㐄 ⡰ㄣ· ⡱ㄣ
⡰ㄗㄤ 㐄 ⡱ㄣ
⡰ㄗㄗ
3) Solve the following equations!
a) 4x + 8 = 20 │-8 b) 3x – 6 = 6x + 5 │-5 c) ⤴⡹⡱
⡱ 㐄 ⡳
⡰ │· 3
4x = 12 │:4 3x – 11 = 6x │-3x x ㎘ 3 㐄 ⡩⡳
⡰ │+3
x = 3 -11 = 3x │:3 x = 10,5
x 㐄 3 ⡰
⡱
4) Ratio of number of shoes of two sisters is 3:5. If together they have 16 shoes
how many shoes do each of them have?
x = sister one; y = sister two
x + y = 16
3 : 5 = x : y x = ⡱
⡳ y
⡱
⡳ y + y = 16 | · 5
3y + 5 y = 80
8y = 80 y = 10 x = 16 – 10 = 6 The sisters have 6 and 10 shoes.
5) Write the following numbers in three significant figures!
a) 0.047683 = 0.0477 b) 87324 = 8.73 · 104
International School Grade 9
www.Klassenarbeiten.de Seite 2
1) Evaluate the following!
a) 4 – 9 = -5 b) -2 – 6 = -8
c) 3 + 2 · 4 = 3 + 8 = 11 d) 40 + 112 = 1 + 1 = 2
e) 䙲⡩
⡳䙳⡹⡩
㐄 ⡩
ㄗ
ㄡ
= 1 · 5 = 5 f) ⡩
⡰ ㎗ ⡰
⡱ 㐄 ⡱
⡴ ㎗ ⡲
⡴ 㐄 ⡵
⡴ 㐄 1 ⡩
⡴
g) 2⡩
⡲ · ⡶
⡱ 㐄 ⡷
⡲ · ⡶
⡱ 㐄 ⡱
⡩ · ⡰
⡩ 㐄 6
2) Simplify!
a) -8x + 5x = -3x b) (4x)(2x2) = 8x3
c) ⡴ㄣ
⡲ㄥ 㐄 ⡰ㄣ· ⡱ㄣ
⡰ㄗㄤ 㐄 ⡱ㄣ
⡰ㄗㄗ
3) Solve the following equations!
a) 4x + 8 = 20 │-8 b) 3x – 6 = 6x + 5 │-5 c) ⤴⡹⡱
⡱ 㐄 ⡳
⡰ │· 3
4x = 12 │:4 3x – 11 = 6x │-3x x ㎘ 3 㐄 ⡩⡳
⡰ │+3
x = 3 -11 = 3x │:3 x = 10,5
x 㐄 3 ⡰
⡱
4) Ratio of number of shoes of two sisters is 3:5. If together they have 16 shoes
how many shoes do each of them have?
x = sister one; y = sister two
x + y = 16
3 : 5 = x : y x = ⡱
⡳ y
⡱
⡳ y + y = 16 | · 5
3y + 5 y = 80
8y = 80 y = 10 x = 16 – 10 = 6 The sisters have 6 and 10 shoes.
5) Write the following numbers in three significant figures!
a) 0.047683 = 0.0477 b) 87324 = 8.73 · 104
Quiz 1
International School Grade 9
www.Klassenarbeiten.de Seite 3
Quiz 1
1) Circle all of the RATIONAL numbers!
√3 5⡩⡵
⡩⡩ ⤴
⤵ 0.3333 √11
2) Circle PRIME numbers!
2; 3; 4; 7; 11; 16; 19; 23; 25; 27; 29; 31; 33
3) Factor these numbers using only prime numbers!
Example: 20
4 5
2 2
48 35 63
4) List multiples of
14 ____ ____ ____ ____ ____ ____
17 ____ ____ ____ ____ ____ ____
4) Solve!
[(36 : 2) · (√9 )] + 3 =
5 3
8 ㎗ 2 2
3 㐄
International School Grade 9
www.Klassenarbeiten.de Seite 3
Quiz 1
1) Circle all of the RATIONAL numbers!
√3 5⡩⡵
⡩⡩ ⤴
⤵ 0.3333 √11
2) Circle PRIME numbers!
2; 3; 4; 7; 11; 16; 19; 23; 25; 27; 29; 31; 33
3) Factor these numbers using only prime numbers!
Example: 20
4 5
2 2
48 35 63
4) List multiples of
14 ____ ____ ____ ____ ____ ____
17 ____ ____ ____ ____ ____ ____
4) Solve!
[(36 : 2) · (√9 )] + 3 =
5 3
8 ㎗ 2 2
3 㐄
d
1) Circle all of the RATIONAL numbers!
2) Circle PRIME numbers!
2; 3; 4; 7; 11; 16;
3) Factor these numbers using only prime numbers!
4) List multiples of
14; 28; 42; 56; 70; 84; 98
17; 34; 52; 68; 85; 102; 119
4) Solve!
[(36 : 2) · ( 9 )] + 3 = [18 ·
24
16
24
9253
228
35 =+++=+
International School Grade 9
Mitgwww.Klassenarbeiten.de
1) Circle all of the RATIONAL numbers!
2; 3; 4; 7; 11; 16; 19; 23; 25; 27; 29; 31; 33
3) Factor these numbers using only prime numbers!
· 3] + 3 = 54 + 3 = 57
24
1824
257 ==
Quiz 1
International School Grade 9
Seite 4
19; 23; 25; 27; 29; 31; 33
1) Circle all of the RATIONAL numbers!
2) Circle PRIME numbers!
2; 3; 4; 7; 11; 16;
3) Factor these numbers using only prime numbers!
4) List multiples of
14; 28; 42; 56; 70; 84; 98
17; 34; 52; 68; 85; 102; 119
4) Solve!
[(36 : 2) · ( 9 )] + 3 = [18 ·
24
16
24
9253
228
35 =+++=+
International School Grade 9
Mitgwww.Klassenarbeiten.de
1) Circle all of the RATIONAL numbers!
2; 3; 4; 7; 11; 16; 19; 23; 25; 27; 29; 31; 33
3) Factor these numbers using only prime numbers!
· 3] + 3 = 54 + 3 = 57
24
1824
257 ==
Quiz 1
International School Grade 9
Seite 4
19; 23; 25; 27; 29; 31; 33
Quiz 2
International School Grade 9
www.Klassenarbeiten.de Seite 5
Quiz 2
1) List the seven first prime numbers!
____________________________________________________________
2) Factor these numbers using only prime numbers!
Example: 20
4 5
2 2
32 72 99
3) List multiples of
12 ____ ____ ____ ____ ____ ____ ____
16 ____ ____ ____ ____ ____ ____ ____
4) List factors of
a) 60 : 1 ... 60
b) 45 : 1 ...
5) Explain the difference between prime and composite!
____________________________________________________________
____________________________________________________________
____________________________________________________________
International School Grade 9
www.Klassenarbeiten.de Seite 5
Quiz 2
1) List the seven first prime numbers!
____________________________________________________________
2) Factor these numbers using only prime numbers!
Example: 20
4 5
2 2
32 72 99
3) List multiples of
12 ____ ____ ____ ____ ____ ____ ____
16 ____ ____ ____ ____ ____ ____ ____
4) List factors of
a) 60 : 1 ... 60
b) 45 : 1 ...
5) Explain the difference between prime and composite!
____________________________________________________________
____________________________________________________________
____________________________________________________________
Lösung
d
1) List the seven first prime numbers!
2; 3; 5; 7; 11; 13; 17
2) Factor these numbers using only prime numbers!
3) List multiples of
12; 24; 36; 48; 60; 72; 84; 96
16; 32; 48; 64; 80; 96; 112; 128
4) List factors of
a) 60: 1; 2; 3; 4; 5; 6; 10; 12; 15; 20; 30;
b) 45: 1; 3; 5; 9; 15; 45
5) Explain the difference between prime and composite!
A prime number is a whole number that only has two factors which are itself
A composite number has factors in addition to one and itself.
International School Grade 9
Mitgwww.Klassenarbeiten.de
the seven first prime numbers!
Factor these numbers using only prime numbers!
24; 36; 48; 60; 72; 84; 96
32; 48; 64; 80; 96; 112; 128
4; 5; 6; 10; 12; 15; 20; 30; 60
5) Explain the difference between prime and composite!
A prime number is a whole number that only has two factors which are itself
A composite number has factors in addition to one and itself.
Quiz 2
International School Grade 9
Seite 6
A prime number is a whole number that only has two factors which are itself and one.
d
1) List the seven first prime numbers!
2; 3; 5; 7; 11; 13; 17
2) Factor these numbers using only prime numbers!
3) List multiples of
12; 24; 36; 48; 60; 72; 84; 96
16; 32; 48; 64; 80; 96; 112; 128
4) List factors of
a) 60: 1; 2; 3; 4; 5; 6; 10; 12; 15; 20; 30;
b) 45: 1; 3; 5; 9; 15; 45
5) Explain the difference between prime and composite!
A prime number is a whole number that only has two factors which are itself
A composite number has factors in addition to one and itself.
International School Grade 9
Mitgwww.Klassenarbeiten.de
the seven first prime numbers!
Factor these numbers using only prime numbers!
24; 36; 48; 60; 72; 84; 96
32; 48; 64; 80; 96; 112; 128
4; 5; 6; 10; 12; 15; 20; 30; 60
5) Explain the difference between prime and composite!
A prime number is a whole number that only has two factors which are itself
A composite number has factors in addition to one and itself.
Quiz 2
International School Grade 9
Seite 6
A prime number is a whole number that only has two factors which are itself and one.
