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Worksheets

HCAI Quizzers (Mathematics)

Total questions: 80

Worksheet time: 40mins

Name
Class
Date
1.

Who is the first to use zero "0" as a number?

a)

Muhammad Al-Khwarizmi

b)

Diophantus

c)

Euclid

d)

Brahmagupta

2.

Who wrote "Arithmetica" and considered the first to solve numerical equations? He is also famous for his epitaph.

a)

Diophantus

b)

Pythagoras

c)

Fibonacci

d)

Euclid

3.

At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?

a)

30

b)

12

c)

14

d)

25

4.

How is 100,000 as a power of 10?

a)

105

b)

104

c)

106

d)

107

5.

Which is the closest value of Pi(π)?

a)

3.1416

b)

3.1416

c)

3.1316

d)

3.1316

6.

The perimeter of one face of a cube is 20 cm. What will be its volume?

a)

8000cm

b)

250cm

c)

120cm

d)

64cm

7.

Choose the correct ratio.

a)

sin(37)= x / 14

b)

cos(37)= 14 / x

c)

cos(37)= x / 14

d)

sin(37)= 14 / x

8.

Which property says that if A=5 for example, then B and C must both also be 5?

a)

Substitution Property

b)

Symmetric Property

c)

Reflexive Property

d)

Transitive Property

9.

Find the mode for this data set of numbers:

98, 82, 86, 66, 72, 95, 95, 65, 96, 95

a)

86

b)

95

c)

65

d)

98

10.

Translate this phrase into an algebraic expression.


The sum of twice a number and six is ten

a)

2x = 6 + 10

b)

6x + 2 = 10

c)

2x + 10 = 6

d)

2x + 6 = 10

11.

Translate this phrase into an algebraic expression.


Eight less than the product of four and a number.

a)

8 - 4m

b)

8m + 4

c)

8m - 4

d)

4m - 8

12.

If 60% of a given number is 8, then what is 15% of the given number?

a)

2

b)

4

c)

6

d)

10

13.

What is the greatest common factor of 64 and 96?

a)

8

b)

16

c)

24

d)

32

14.

What is the value of x when 10x - 20 = -2x + 4?

a)

2

b)

4

c)

5

d)

6

15.

A dozen egg cost 72 pesos. How much do seven eggs cost?

a)

36

b)

48

c)

42

d)

56

16.

In a department store, 40% of the employees are men. If there are 180 women in the department store, how many employees are there?

a)

240

b)

300

c)

360

d)

410

17.

Cleford can fill the container in 40 minutes and Jayffer can fill the container in 60 minutes. How long will it take for them to fill the container together?

a)

16 minutes

b)

24 minutes

c)

32 minutes

d)

18 minutes

18.

If 56 men can build a small building in 20 days. At this rate, how many days can 35 men build the same building?

a)

10 days

b)

12½ days

c)

16 days

d)

18½ days

19.

In a standard deck of cards, what is the probability of getting a red card?

a)

1/2

b)

1/13

c)

1/26

d)

1

20.

In rolling a dice, what is the probability of getting a number greater than 4?

a)

1/2

b)

1/3

c)

1/4

d)

1/6

21.

A box contains 5 blue balls, 4 white balls and 3 red balls. What is the probability of getting a white ball?

a)

1/2

b)

1/3

c)

1/4

d)

5/12

22.

Evaluate:


3! + 2! + 1!

a)

6

b)

8

c)

9

d)

12

23.

For what side of a square is the perimeter and the area are numerically equal?

a)

2

b)

4

c)

8

d)

12

24.

Which of the following has no definite length?

a)

ray

b)

point

c)

line

d)

segment

25.

What is the value of x if x and 75° are supplementary?

a)

15°

b)

75°

c)

105°

d)

285°

26.

What is the value of the missing angle?

a)

70°

b)

90°

c)

110°

d)

250°

27.

What is the value of x?

a)

4

b)

7

c)

9

d)

12

28.

Which angles are complementary?

a)

∠KTH and ∠ETK

b)

∠ETF and ∠KTH

c)

∠ETR and ∠RTH

d)

∠ETF and ∠FTR

29.

What is the adjacent angle of ∠KTH?

a)

∠ETF

b)

∠HTR

c)

∠RTF

d)

∠ETR

30.

Expand the equation


b(3b − 2)(b − 1)

a)

3b2 + 5b + 2

b)

3b3 − b2 + 3b

c)

3b3 − 5b2 + 2b

d)

5b3 − 3b2 + 2b

31.

What is the factor of p2 − 5p − 14?

a)

( p + 1)( p − 14)

b)

( p - 1)( p + 14)

c)

( p + 2)( p − 7)

d)

( p - 2)( p + 7)

32.

Three times a certain number less 25 equals twice the number less 15. What is the number?

a)

20

b)

10

c)

12

d)

15

33.

At what quadrant is (-2, -5) located?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

34.

Simplify:

a)

y2/2x

b)

2y2x/z

c)

y2/2xz

d)

2y2xz

35.

Simplify

a)

xy3

b)

x5y4

c)

x6y4

d)

x5y5

36.

What is 30% of 30?

a)

9

b)

12

c)

15

d)

18

37.
The ratio in a right triangle of adjacent to hypotenuse is _____
a)
sine
b)
cosine
c)
tangent
d)
inverse cosine
38.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
39.

Who is the Father of Trigonometry?

a)

Al-Khwarizmi

b)

Euclid

c)

Hipparchus

d)

Fisher

40.

What is the value of tan (-π)?

a)

undefined

b)

0

c)

1

d)

-1

41.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

42.

What is the y-intercept in the equation?



y = 5x - 4

a)

(0,5)

b)

(0,-4)

c)

(-4,0)

d)

(5,0)

43.

Find the slope between the two given points: (-2,1) and (5,7)

a)

7/6

b)

2

c)

6/7

d)

-2

44.

What is the distance from the center of a circle to the boundary of a circle?

a)

Chord

b)

Diameter

c)

Radius

d)

Inscribed Angle

45.
Find the common difference: 29, 21, 13, 5, ...
a)
d = -10
b)
d = -9
c)
d = -8
d)
d = -7
46.
Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...
a)
-1, 7, 15
b)
-5, 2, 9
c)
3, 12, 21
d)
-65, -73, -81
47.
What 3 terms come next in the sequence? 
144, 72, 36
a)
36, 18, 9
b)
18, 16, 9
c)
18, 9, 4.5
d)
4.5, 9, 16
48.

What triangles congruence property is present in the figure?

a)

SAA

b)

SAS

c)

ASA

d)

SSA

49.

Simplify the following radical: √150

a)

5√15

b)

5√2

c)

5√6

d)

15√5

50.

Operate:

a)

8√6

b)

8√12

c)

12√6

d)

12√12

51.

Simplify:

a)

4√30

b)

√4√30

c)

√2√30

d)

2√30

52.
a)
13/3
b)
13/27
c)
9/39
d)
3/13
53.
1 ¼ × 2 ¾ =
a)
3 7/16
b)
1 1/2
c)
2 3/16
d)
4 1/4
54.
Lori is baking cookies. Her recipe calls for 2/3 of a cup of milk.  Lori decides she wants to triple the recipe.  How much milk is needed?
a)
2/9
b)
4 ½
c)
1
d)
2
55.
(3x2 + 4x - 2) - (5x + 7)
a)
3x2 - x - 9
b)
2x2 - 9
c)
3x2 + 9x - 5
d)
3x2 - x + 5
56.

What types of algebraic expressions is 4x2 + 2x - 1?

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

57.

Find the degree of the algebraic expression:

-11x2 + 3xyz

a)

2

b)

3

c)

5

d)

6

58.
If y varies inversely as x and x=5 when y=20, then what is the constant of variation, k? 
a)
121
b)
4
c)
100
d)
6
59.
What type of variation does this scenario represent?
The grade you earn in a class
and the number of assignments you complete
and the number of hours you study
a)
direct variation
b)
inverse variation
c)
joint variation
d)
none of these
60.

What is the mean of this set of data?

2, 15, 7

a)

24

b)

3

c)

6

d)

8

61.

Count the number of triangles in the given figure.

a)

8

b)

10

c)

12

d)

14

62.

Which will come next in the series?

az, by, cx,__?___

a)

ef

b)

gh

c)

ij

d)

dw

63.
Which quadrilateral has 4 right angles, 2 sets of parallel sides, and all of its' sides are the same length?
a)
Triangle
b)
Rhombus
c)
Rectangle
d)
Square
64.

Find the surface area of the rectangular prism.

a)

94 cm. squared

b)

60 cm. squared

c)

12 cm. squared

d)

19 cm. squared

65.

Find the volume of the cylinder.

a)

282.6

b)

516.2

c)

133

d)

214

66.

What is the circumference of a circle with a diameter of 19.1 ft?

a)

60.00 ft

b)

35.17 ft

c)

28.67 ft

d)

47.17 ft

67.

In the recipe of a lemonade 2 cups of sugar is needed for 3 lemons. How many lemons are needed for 6 cups of sugar?

a)

4

b)

6

c)

8

d)

9

68.

A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?

a)

2 to 5

b)

5 to 3

c)

3 to 5

d)

5 to 2

69.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

70.

Solve for c

a)

7

b)

9

c)

4

d)

13

71.
What type of set is denoted as either { } or ∅?
a)
Universal Set
b)
Empty (or Null) Set
c)
Disjointed Set
d)
Complement of a Set
72.
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?
a)
{3, 5, 7}
b)
{2, 3, 5, 7}
c)
{2, 3, 5, 7, 9}
d)
{1, 2, 3, 5, 7, 9}
73.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

74.
If there are 12 inches in one foot and 3 feet in one yard, how many inches are in 3 yards? 
a)
36 inches
b)
108 inches
c)
96 inches
d)
210 inches
75.

How many millimeters are in three centimeters?

a)

300 mm

b)

30 mm

c)

3 mm

d)

0.3 mm

76.

Charmaine buys 6 feet of red ribbon and 8 feet of blue ribbon for a project. How many inches of ribbon did Charmaine buy in all?

a)

14 in.

b)

168 in.

c)

48 in.

d)

150 in.

77.

Hamburger sells for 3 pounds for ₱6. If Alicia buys 10 pounds of hamburger, how much will she pay?

a)

₱30

b)

₱20

c)

₱60

d)

₱10

78.
Which of the following contains only rational numbers?
a)
2.5, .764567..., 1/2, √27
b)
π, √4, √16, 7.7
c)
6.7, 4.45, -3, 
d)
5, -4.5, √13, √-9
79.

Classify the number: 0

a)

natural, whole, integer, rational, real

b)

integer, irrational, real

c)

irrational, real

d)

whole, integer, rational, real

80.
What mathematical tool did Blaise Pascal invent in 1642?
a)
Slide Rule
b)
Protractor
c)
Compass
d)
Mechanical Calculator

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