Free Printable Megaquiz

1.

$\sqrt{1\ \frac{9}{7}}\div\sqrt{2\ \frac{14}{25}}$

a)

$\frac{1}{2}$

b)

$\frac{2}{3}$

c)

$\frac{3}{4}$

d)

$\frac{4}{5}$

e)

$\frac{5}{6}$

2.

The first pipe fills the pool in 6 hours, the second pipe empties the same pool in 9 hours. After how many hours will the pol be filled if both pipes start filling together?

a)

12

b)

18

c)

15

d)

10

e)

20

3.

Find the length of the side in an isosceles right-angled triangle when the length of hypotenuse is

\sqrt{6}

a)

3

b)

$\sqrt{2}$

c)

$\sqrt{3}$

d)

1

e)

2

4.

a)

77

b)

269

c)

204

d)

287

e)

66

5.

Which of the following is correct?

a)

$2\sqrt{7}<3\sqrt{5}$

b)

$\sqrt{60}>4\sqrt{4}$

c)

$3\sqrt{10}>5\sqrt{4}$

d)

$4\sqrt{3}<3\sqrt{4}$

e)

$4\sqrt{2}<2\sqrt{4}$

6.

Find the number of natural divisors of the number

n=3\cdot5\cdot11

and multiply it by 3.

a)

30

b)

18

c)

24

d)

21

e)

27

7.

a)

30

b)

50

c)

40

d)

10

e)

20

8.

a)

$-4a^4b^3$

b)

$4a^4b^3$

c)

$8a^4b^3$

d)

$-4a^3b^4$

e)

$-8a^4b^3$

9.

a)

2b-2c

b)

0

c)

2a-2c

d)

2a-2b

e)

2c-2b

10.

The ratio of angles with mutually perpendicular sides is 2:3. Find the greatest angle.

a)

36

b)

108

c)

72

d)

54

e)

40

11.

The product is sold for 330 manats with 10% of the profit. Find the original price of the product.

a)

270

b)

320

c)

300

d)

310

e)

280

12.

a)

9

b)

1

c)

$2\sqrt{7}$

d)

$\sqrt{17}$

e)

$9-\sqrt{17}$

13.

$\frac{4}{7}\div x=\frac{1}{7}\div2$

Find x:

a)

8

b)

6

c)

12

d)

4

e)

10

14.

1. The perimeter of the equilateral triangle is 66cm. Find its midline.

a)

22

b)

15.5

c)

33

d)

11

e)

132

15.

The first team completes a certain job in 7 hours, the second one in 6 hours. What part of the job would remain uncompleted after 3 hours of working together?

a)

1/3

b)

2/3

c)

1/14

d)

13/14

e)

6/7

16.

a)

8

b)

7

c)

6

d)

12

e)

16

17.

Take the factors out from the root: $\sqrt{75x^3y^6}$ , if $x>0,\ y<0$

a)

$-5x^2y^3\sqrt{-3x}$

b)

$5x^2y^3\sqrt{-3x}$

c)

$5x^2y^3\sqrt{3x}$

d)

$5xy^3\sqrt{3x}$

e)

$-5xy^3\sqrt{3x}$

18.

a)

0

b)

1

c)

2

d)

1/2

e)

2/3

19.

a)

$\frac{1}{3}$

b)

$-\frac{1}{3}$

c)

$\sqrt{\frac{1}{3}}$

d)

-3

e)

$-\sqrt{\frac{1}{3}}$

20.

The hypotenuse of an isosceles right triangle is 24 cm. Find the length of smaller altitude (height) of the triangle.

a)

12

b)

9

c)

6

d)

3

e)

$12\sqrt{2}$

21.

After covering part of the road, cyclists needed 12 km more to cover a certain distance. Find the length of the road

a)

15

b)

18

c)

20

d)

24

e)

30

22.

If the leg of the right triangle opposite to $30^0$ is 16 cm, find its hypotenuse.

a)

8

b)

$16\sqrt{3}$

c)

$16\sqrt{2}$

d)

32

e)

25

23.

The legs of a right triangle are 6 cm and 8 cm. Find the radius of the circumscribed and inscribed circle of the triangle.

a)

R=3, r=1.5

b)

R=4, r=2

c)

R=5, r=2

d)

R=2, r=1

e)

R=8, r=4

24.

a)

$\frac{\sqrt{6}}{\sqrt{6}-1}$

b)

$12-\sqrt{6}$

c)

$\frac{\sqrt{6}}{12}$

d)

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

e)

$\frac{12-\sqrt{6}}{23}$

25.

The radii of two concentric circles are 5 cm and 2 cm respectively. Find the area of the region between two circles(ring area).

a)

3\pi

b)

$6\pi$

c)

$21\pi$

d)

$25\pi$

e)

$7\pi$

26.

Find the missing side “x” below.

a)

2.5

b)

5

c)

5

d)

$2\sqrt{10}$

e)

$\sqrt{84}$

27.

Find the missing side “x” below.

a)

72

b)

36

c)

54

d)

24

e)

108

28.

Find angle "g"

a)

80

b)

25

c)

50

d)

40

e)

45

29.

Find the area of the shaded sector in the circle below.

a)

$3\pi$

b)

$\frac{\pi}{2}$

c)

$\frac{3\pi}{2}$

d)

$2\pi$

e)

$\frac{2\pi}{3}$

30.

Chords AB and CD intersect at point M. If CM=8, MD=5, and MB=4, find the length of the segment AM.

a)

10

b)

9

c)

8

d)

7

e)

6

31.

a)

8

b)

4

c)

7

d)

6

e)

3

32.

$\left(\sqrt{3}-9\right)$ is between which two integer numbers

a)

8 and 9

b)

-9 and -8

c)

5 and 6

d)

-8 and -7

e)

-7 and -6

33.

The perimeter of the circumscribed quadrilateral ABCD about the circle is 60 cm and AB=16 cm. Find the length of the CD.

a)

44

b)

24

c)

14

d)

16

e)

28

34.

The degree measure of an inscribed angle is $60^0$ . Find the degree measure of the corresponding arc.

a)

60

b)

30

c)

45

d)

120

e)

90

35.

Find the radius of the circumscribed circle about the rectangle whose sides are 12 cm and 16 cm.

a)

20

b)

15

c)

10

d)

8

e)

6

36.

Find the radius of the inscribed circle inside of the square whose perimeter is 40 cm.

a)

2

b)

3

c)

4

d)

5

e)

6

37.

The circumference of the circle is $6\sqrt{2}\pi$ . Find the length of the chord which leans on the arc with 60 degrees.

a)

$6$

b)

$6\sqrt{2}$

c)

$1.5\sqrt{2}$

d)

3

e)

$3\sqrt{2}$

38.

A=4583, B=258777. Find the remainder when AB is divided by 5

a)

0

b)

1

c)

2

d)

3

e)

4

39.

Solve the equation

a)

8

b)

7

c)

3

d)

2

e)

1

Megaquiz

Total questions: 39

Worksheet time: 1hrs 4mins

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