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Worksheets

HCAI Quizzers (Mathematics)

Total questions: 70

Worksheet time: 53mins

Name
Class
Date
1.

Simplify :150 ÷ (6 + 3 x 8) - 5

a)

2

b)

5

c)

0

d)

-3

2.

Simplify : 3 + 6 x (5 + 4) ÷ 3 - 7

a)

11

b)

16

c)

14

d)

15

3.

Subtract the polynomial

5x3 − 2x2 − 7x + 5 from the polynomial 2x3 + 5x2 − 3x − 4

a)

3x3 − 7x2 − 4x + 9

b)

-3x3 + 7x2 + 4x − 9

c)

-3x3 + 3x2 + 4x − 9

d)

-3x3 + 7x2 + 4x + 1

4.

Divide (4x2 − 6x) by 2x

a)

2x − 3

b)

4x − 3

c)

2x2 − 3

d)

2x2 − 3x

5.

How do you convert square millimeters to square meters?

a)

Multiply by 1,000,000

b)

Multiply by 1,000

c)

Divide by 1,000,000

d)

Divide by 1,000

6.

Express 0.065 as a fraction

a)

13/200

b)

3/40

c)

121/200

d)

13/20

7.

There are 48 families that each donated ₱40.00 to the school fundraiser. How much money was donated?

a)

About ₱1,000

b)

About ₱1,500

c)

About ₱2,000

d)

About ₱2,500

8.

The city has 8 fire trucks. Each holds 42 gallons of gas. How many gallons of gas does it take to fill all 8 trucks?

a)

50

b)

336

c)

326

d)

633

9.

The larger side of a rectangle 5m and the smaller side is 2m. What is the area of the rectangle?

a)

5

b)

2

c)

10

d)

14

10.

A jar contains 12 red marbles and 6 blue marbles. What is the ratio of blue marbles to red marbles in the jar?

a)

3:5

b)

3:2

c)

1:2

d)

2:3

11.

Find the area of the triangle given.

a)

63

b)

31.5

c)

16

d)

8

12.

A serving of ice cream contains 240 calories. One hundred forty-four calories come from fat. What percent of the total calories come from fat?

a)

40%

b)

45%

c)

55%

d)

60%

13.

A 3D shape can also be called a ______________.

a)

flat shape

b)

solid shape

c)

polygon

d)

quadrilateral

14.

Part of a line with one endpoint that continues in one direction.

a)

Line segment

b)

Parallel line

c)

Intersecting line

d)

Ray

15.

A triangle with one angle greater than 90 degrees

a)

Right triangle

b)

Scalene triangle

c)

Obtuse triangle

d)

Isosceles triangle

16.

How many hours are there in seven days?

a)

144

b)

168

c)

120

d)

192

17.

If a triangle has one angle of 60 degrees, a second angle of 90 degrees, how many degrees would the third angle measure?

a)

30

b)

60

c)

90

d)

40

18.

How many prime numbers are present in 0 to 100?

a)

18

b)

23

c)

25

d)

27

19.

Which of the following numbers are not divisible by 9?

a)

162

b)

189

c)

146

d)

144

20.

What is next to the pattern 144, 121, 100, 81, 64?

a)

56, 49, 36

b)

49, 36, 25

c)

36, 25, 16

d)

30, 20, 10

21.

80% of 100 = 40% of ________

a)

120

b)

150

c)

200

d)

300

22.

What number is symbolized by the Roman numerals DCCCXXIV?

a)

1,324

b)

10,824

c)

824

d)

13,024

23.

Eric cycles 6.6km to work and 7.2km back from work each day, how many km does he cycle to and from work over a 7 day period?

a)

79.7

b)

82.3

c)

96.6

d)

102.3

24.

What property is this?

2x(5 + y) = 10x + 2xy

a)

Identity

b)

Distributive

c)

Associative

d)

Communitive

25.

To complete the perfect square trinomial in the expression x2-22x+_____, we need to add

a)

11

b)

12

c)

121

d)

144

26.

Lexter has ₱150 in his savings account and saves 40 per month. This could as a linear equation.

a)

y= 150 + 40

b)

y= 40x + 150

c)

y= 150x + 40

d)

150x + 40y = 0

27.

What is the equation for this graph?

a)

y = ⅔ x + 3

b)

y = -⅔ x + 3

c)

y = ⅔ x - 3

d)

y = -⅔ x - 3

28.

Find the slope.

a)

3/2

b)

-3/2

c)

2/3

d)

-2/3

29.

If you multiply a monomial times a trinomial, how many terms will the product have?

a)

one

b)

two

c)

three

d)

four

30.

Classify the function:

a)

quadratic

b)

cubic

c)

quartic

d)

linear

31.

Classify by the Degree:

4x3 - 5x2 + 2x - 1

a)

1

b)

2

c)

3

d)

4

32.

Walter and Helen are asked to paint a house. Walter can paint the house by himself in 12 hours and Helen can paint the house by herself in 16 hours. How long would it take to paint the house if they worked together?

a)

4.8 hours

b)

5.5 hours

c)

7.4 hours

d)

6.9 hours

33.

One pipe can fill a swimming pool in 10 hours, while another pipe can empty the pool in 15 hours. How long would it take to fill the pool if both pipes were accidentally left open?

a)

20 hours

b)

25 hours

c)

30 hours

d)

35 hours

34.

What time is the clock showing?

a)

5:35

b)

5:00

c)

8:25

d)

7:25

35.

It takes 1 h 5 min for Niño to travel from home to his office. If he wants to reach the office by 8.30 a.m. what time should he leave his house?

a)

6:45 a.m.

b)

6:40 a.m.

c)

7:15 a.m.

d)

7:25 a.m.

36.

A bus traveling at an average rate of 50 kilometers per hour made the trip to town in 6 hours. If it had traveled at 45 kilometers per hour, how many more minutes would it have taken to make the trip?

a)

35 minutes

b)

40 minutes

c)

45 minutes

d)

55 minutes

37.

Car 1 starts from point A and heads for point B at 60 mph. Fifteen minutes later, car 2 leaves the same point A and heads for point B at 75 mph. How long before car 2 overtakes car 1?

a)

1.5 hours

b)

2.0 hours

c)

3.5 hours

d)

4.0 hours

38.

John Carlo took a drive to town at an average rate of 40 mph. In the evening, he drove back at 30 mph. If he spent a total of 7 hours traveling, what is the distance traveled by John?

a)

240 miles

b)

320 miles

c)

180 miles

d)

220 miles

39.

Tamar has four more quarters than dimes. If he has a total of $1.70, how many dimes does he have?

a)

2

b)

3

c)

4

d)

6

40.

Who is known for the following sequence: 0, 1, 1, 2, 3, 5, 8, 13...?

a)

Archimedes

b)

Euler

c)

Fibonacci

d)

Newton

41.

Who is known as the "Father of Geometry"?

a)

Pythagoras

b)

Archimedes

c)

Euclid

d)

Galileo

42.

What is the missing length in its simplest form?

a)

√12

b)

3.5

c)

√25

d)

5

43.

Find the surface area of a 10cm by 4cm by 3cm brick?

a)

154 Sq Cm

b)

156 Sq Cm

c)

160 Sq Cm

d)

164 Sq Cm

44.

Find the Area.

a)

12

b)

18

c)

28

d)

34

45.

Find the Area.

a)

14

b)

20

c)

24

d)

40

46.

Count the number of triangles in the given figure.

a)

8

b)

10

c)

12

d)

14

47.

What are the first five prime numbers?

a)

2,3,5,7,11

b)

1,3,5,7,11

c)

3,5,6,4,7

d)

4,3,7,6,9

48.

What is a prime number?

a)

It is numbers which are even

b)

It is numbers which are odd

c)

It is numbers which are not needed

d)

It is numbers which can be multiplied to give the original number

49.

What is the LCM of 2 and 5

a)

3

b)

7

c)

10

d)

15

50.

What are the prime factors of 18?

a)

1 * 3 * 6

b)

1 * 2 * 9

c)

1 * 18

d)

2 * 3 * 3

51.

You flip 3 coins. What is the probability that all three come up heads?

a)

3/8

b)

1/3

c)

7/8

d)

1/8

52.

Solve the following inequalities


16 -5x < -4

a)

x<-4

b)

x > -3

c)

x > 4

d)

x < -3

53.

Find the value of x and y.

a)

x= 105 y = 105

b)

x= 105 y = 75

c)

x = 75 y= 105

d)

x= 75 y = 75

54.

Find the missing angle.

a)

74

b)

84

c)

86

d)

64

55.

If the measure of ∠2 is 83°, what is the measure of ∠3?

a)

b)

17°

c)

83°

d)

97°

56.

Find the missing angle. Find x.

a)

20o

b)

70o

c)

160o

d)

180o

57.

What is the slope?

a)

-1/3

b)

-3

c)

-4

d)

5

58.

Which is an example of Associative Property of Addition ?

a)

4 + 9 = 9 + 4

b)

(9 + 6) + 3 = 9 + (6 + 3)

c)

2 + 0 = 2

d)

5 + (-5) = 0

59.

What is the additive inverse of -5?

a)

-5

b)

0

c)

5

d)

-0

60.

A ship sails 10 km due south of a port. Then, it sails 20 km due east. The distance, in km, of the ship from the port is _____________.

a)

19.64

b)

22.36

c)

24.52

d)

30

61.

Maria borrowed ₱3,000 at a simple interest rate of 4% per year. How much did she have to repay after 4 years?

a)

₱480

b)

$3,480

c)

₱4,800

d)

₱7,800

62.

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary.

a)

16.4 cm3

b)

31.7 cm3

c)

31.4 cm3

d)

22.0 cm3

63.

How do you find the volume of a cone?

a)

V= 1/3 πr2h

b)

V= 4/3 πr2h

c)

V= 4/3 πr3

d)

V= πr2h

64.

Which quadrilateral has only one pair of parallel sides?

a)

rhombus

b)

kite

c)

trapezoid

d)

parallelogram

65.

Evaluate f(-2) if f(x) = x2+ 3

a)

-1

b)

1

c)

7

d)

-7

66.

If f(x) = -4x - 5 and

g(x) = 3 - x,


What is g(-4) + f(1)?

a)

7

b)

-2

c)

-9

d)

-10

67.

What is the Domain?

a)

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

b)

{-3, -2, -1, 0, 1, 2, 3}

c)

-3 ≤ x ≤ 3

d)

-3 ≤ x ≤ 9

68.

What is the Domain?

a)

-3 ≤ x < 5

b)

-3 ≤ y < 5

c)

-8 ≤ x < 5

d)

-8 ≤ y < 5

69.

Are these triangles congruent?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by AAS

d)

Yes, by HL

70.

A scientist reports that a bacteria culture contains 34 bacteria.

How many bacteria is that?

a)

12

b)

81

c)

7

d)

95