Free Printable elementary math 100-150

1.

Length of a rectangle is more than width on 6 cm, and the area is equal to 187 cm. Find perimeter of this rectangle.

a)

56

b)

48

c)

54

d)

52

e)

49

2.

The sum of the squares of two consecutive integers numbers is 313. Find these numbers

a)

12 и 13

b)

1 и 12

c)

13 и 14

d)

0 и 1

e)

14 и 15

3.

The sum of the squares of three consecutive numbers is 869. Find these numbers.

a)

16; 17; 18

b)

15; 16; 17

c)

17; 18; 19

d)

18; 19; 20

e)

14; 15; 16

4.

If one root of the equation $x^2+px+35=0$ is equal 5. Find р

a)

-12

b)

12

c)

7

d)

-7

e)

0

5.

If one root of the equation $2x^2-x+q=0$ is equal 1. Find q?

a)

-1

b)

-6

c)

10

d)

-10

e)

0

6.

The perimeter of a rectangle is equal 12 см, and area 8см. Find the sides of the rectangle.

a)

4; 2

b)

5; 1

c)

5; 2

d)

8; 1

e)

3; 4

7.

Determine coordinates of the center of a circle $x^2+y^2=4$

a)

(0;0)

b)

(0;4)

c)

(-2;0)

d)

(2;0)

e)

(-2;1)

8.

Simplify the expression $\sqrt[]{12\ }+\sqrt[]{45}+\sqrt[]{18}$

a)

$2\sqrt[]{3}+3\sqrt[]{5}+3\sqrt[]{2}$

b)

$2\sqrt[]{3}+3\sqrt[]{3}+3\sqrt[]{6}$

c)

$3\sqrt[]{3}+4\sqrt[]{3}+5\sqrt[]{6}$

d)

$\sqrt[]{3}+3\sqrt[]{5}+3\sqrt[]{2}$

e)

$\sqrt[]{3}-3\sqrt[]{5}-3\sqrt[]{2}$

9.

Calculate: $\sqrt[]{2}\times\sqrt[]{2}$

a)

2

b)

4

c)

1

d)

$\sqrt[]{2}$

e)

$\sqrt[]{4}$

10.

Calculate: $\sqrt[]{2}\times\sqrt[]{18}$

a)

6

b)

4

c)

2

d)

1

e)

18

11.

Calculate: $\sqrt[]{\frac{2}{3}}\times\sqrt[]{\frac{3}{8}}$

a)

0.5

b)

1

c)

2/3

d)

3/8

e)

2

12.

Calculate: $\frac{\sqrt[]{40}}{\sqrt[]{10}}$

a)

2

b)

1

c)

4

d)

10

e)

40

13.

Calculate: $\sqrt[]{5}\times\sqrt[]{3}$

a)

$\sqrt[]{15}$

b)

$\sqrt[]{5}$

c)

$\sqrt[]{3}$

d)

5

e)

3

14.

Calculate: $\sqrt[3]{8\times27}$

a)

6

b)

4

c)

3

d)

7

e)

8

15.

Calculate: $\left(-3\right)^2+3^3-\left(-3\right)^0$

a)

35

b)

5

c)

3

d)

-3

e)

-35

16.

Simplify the expression $\frac{a}{a-b}+\frac{a}{a+b}$

a)

$\frac{a^2+2ab-b^2}{a^2-b^2}$

b)

$\sqrt[]{a^2+b^2}$

c)

$\frac{b}{2a+b}$

d)

1

e)

$\frac{a}{2a+b}$

17.

Simplify the expression: $\frac{2n+3}{n+1}+\frac{2-n}{n+1}$

a)

$\frac{n+5}{n+1}$

b)

$\frac{n}{n+1}$

c)

1

d)

$\frac{n+3}{n+5}$

e)

n+5

18.

Get rid of the irrationality in the denominator of the fraction: $\frac{1}{\sqrt[]{xy}}$

a)

$\frac{\sqrt[]{xy}}{xy}$

b)

xy

c)

1

d)

$\frac{1}{xy}$

e)

$\frac{x}{y}$

19.

Get rid of the irrationality in the denominator of the fraction: $\frac{3}{\sqrt[]{2}}$

a)

$\frac{3\sqrt[]{2}}{2}$

b)

$3\sqrt[]{2}$

c)

1

d)

$2\sqrt[]{3}$

e)

$\sqrt[]{2}$

20.

Get rid of the irrationality in the denominator of the fraction: $\frac{10}{3\sqrt[]{5}}$

a)

$\frac{2\sqrt[]{5}}{3}$

b)

$3\sqrt[]{2}$

c)

1

d)

$2\sqrt[]{5}$

e)

$\sqrt[]{2}$

21.

Get rid of the irrationality in the denominator of the fraction: $\frac{1}{2+\sqrt[]{3}}$

a)

$2-\sqrt[]{3}$

b)

$3\sqrt[]{2}$

c)

1

d)

$2\sqrt[]{5}$

e)

$2+\sqrt[]{3}$

22.

Simplify the expression: (3+5a) + (2+a)

a)

5+6a

b)

3+5a

c)

2+a

d)

6+5a

e)

3+a

23.

Simplify the expression: (2+3m) + (3-m)

a)

5+2m

b)

3+5m

c)

2+m

d)

6-5m

e)

3-m

24.

Calculate: $\sqrt[4]{9\sqrt[]{81}}$

a)

3

b)

1

c)

9

d)

81

e)

27

25.

Calculate: $\sqrt[]{a^4\times b^{12}}$

a)

$a^2\times b^6$

b)

$a^4\times b^{12}$

c)

$a\times b$

d)

$a^3\times b^2$

e)

1

26.

Calculate: $\sqrt[]{\sqrt[]{16}}$

a)

2

b)

1

c)

4

d)

16

e)

8

27.

Calculate: $\sqrt[]{\sqrt[]{625}}$

a)

5

b)

1

c)

4

d)

16

e)

8

28.

Simplify the expression: $\frac{1-\sin x}{\cos x}+tgx$

a)

$\frac{1}{\cos x}$

b)

tgx

c)

1-sinx

d)

1

e)

$\frac{1}{\sin x}$

29.

Simplify the expression: $\frac{1}{1+\cos x}+\frac{1}{1-\cos x}$

a)

$\frac{2}{\sin^2x}$

b)

2

c)

1

d)

sinx

e)

cosx

30.

Simplify the expression: $\frac{14b^2}{7ab+21b^2}$

a)

$\frac{2b}{a+3b}$

b)

$\frac{14}{a+3b}$

c)

$\frac{2}{a+b}$

d)

$1$

e)

$\frac{b+a}{a+3b}$

31.

Calculate: $3^2\times9^{-1}$

a)

1

b)

2

c)

3

d)

4

e)

5

32.

Calculate: $\log_33$

a)

1

b)

3

c)

0,3

d)

1,3

e)

0

33.

Calculate: $\log_22$

a)

1

b)

3

c)

4

d)

8

e)

2

34.

Calculate: $2\log_{25}25$

a)

2

b)

3

c)

4

d)

6

e)

8

35.

Calculate: $2\log_525$

a)

10

b)

3

c)

4

d)

2

e)

8

36.

Calculate: $4\log_{16}16$

a)

4

b)

3

c)

2

d)

6

e)

8

37.

Calculate: $\log_22-\log_33$

a)

0

b)

2

c)

3

d)

4

e)

8

38.

Calculate: $2\log_44-\log_24$

a)

0

b)

3

c)

4

d)

2

e)

8

39.

Calculate: $2\log_39-\log_24$

a)

2

b)

3

c)

4

d)

8

e)

6

40.

Calculate: $\log_33\times\log_22$

a)

1

b)

3

c)

0.3

d)

1.3

e)

0

41.

Calculate: $\log_327-\log_216$

a)

-1

b)

6

c)

3

d)

2

e)

16

42.

Calculate: $6^{2\log_65}$

a)

25

b)

5

c)

6

d)

1

e)

12

43.

Calculate: $3^{\log_936}$

a)

6

b)

9

c)

3

d)

1

e)

36

44.

Calculate: $4^{\log_416}$

a)

16

b)

9

c)

3

d)

1

e)

36

45.

Calculate: $5^{\log_28}$

a)

125

b)

9

c)

3

d)

15

e)

36

46.

Calculate: $tg\alpha\times\operatorname{ctg}\alpha$

a)

1

b)

$\sin\alpha$

c)

$\cos\alpha$

d)

0.5

e)

$\frac{\sin\alpha}{\cos\alpha}$

47.

Calculate: $2\times tg\alpha\times\operatorname{ctg}\alpha$

a)

2

b)

$\sin\alpha$

c)

$\cos\alpha$

d)

0.5

e)

$\frac{\sin\alpha}{\cos\alpha}$

48.

What is equal to: $\sin\frac{\pi}{2}$

a)

1

b)

0.5

c)

$\frac{\sqrt[]{2}}{2}$

d)

$\frac{1}{3}$

e)

0.3

49.

What is equal to: $\sin\frac{\pi}{6}$

a)

1/2

b)

1

c)

$\frac{\sqrt[]{2}}{2}$

d)

1/3

e)

0.3

50.

What is equal to: cos0

a)

1

b)

1/2

c)

$\frac{\sqrt[]{2}}{2}$

d)

1/3

e)

2

51.

What is equal to: $\cos\frac{\pi}{3}$

a)

1/2

b)

1

c)

$\frac{\sqrt[]{2}}{2}$

d)

1/3

e)

2

elementary math 100-150

Total questions: 51

Worksheet time: 17mins

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