Free Printable Math

1.

Franz can finish a 500-word essay in 4 hours. When Jason helped him, they accomplished the task in 1 and 1/2 hours. How much time does Jason need to finish a 500-word essay?

a)

2.4 hours

b)

4.2 hours

c)

1.2 hours

d)

2.1 hours

2.

if $\sqrt[3]{x}+a=b,\ then\ x=$

a)

$\left(b-a\right)^3$

b)

$\left(a-b\right)^3$

c)

$b^3-a^3$

d)

$a^3-b^3$

e)

$\sqrt[3]{b-a}$

3.

. In the figure below, if the length of AB is 10, find the length of AD

a)

11 3/8

b)

11 3/4

c)

12

d)

12 1/4

e)

12 1/2

4.

Find side AB.

a)

11.54 m

b)

8,66 m

c)

20 m

d)

5 m

5.

Two chips are drawn simultaneously from an urn containing 10 chips numbered from 1 to 10. What is the probability that one of the numbers on the chips is even, and the other is odd?

a)

2/9

b)

4/9

c)

5/9

d)

5/18

6.

A student downloaded 6 music files to a portable MP3 player. In how many different orders can the songs be played?

a)

6

b)

24

c)

120

d)

720

7.

a)

a

b)

b

c)

c

d)

d

8.

What is the value of $\sin\left(60\degree\right)$

a)

1/2

b)

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

c)

1

d)

2/3

9.

Find the limit of a function $\lim_{x\rightarrow2}\ \frac{3x+6}{x^3+8}$

a)

3/2

b)

1/4

c)

1

d)

3

10.

Find the limit of a function

$\lim_{x\rightarrow3}\ \frac{x-3}{x^2-5x+6}$

a)

1

b)

4

c)

5/2

d)

1/2

11.

A company has a workforce of 200 employees. 120 of the employees are men and the rest are women. If 10 employees are randomly selected, what is the probability that at least 4 of them are women?

a)

0.083

b)

0.162

c)

0.327

d)

0.538

12.

If 15 workers can complete a job in 10 days, how many workers are needed to complete the same job in 5 days?

a)

40

b)

25

c)

30

d)

60

13.

The ratio of the number of ducks to the number of chickens on a farm is 4:3. If there are 21 more ducks than chickens, how many ducks are there?

a)

84

b)

63

c)

42

d)

21

14.

If the first term in an arithmetic series is 3, the last term is 136, and the sum is 1,390, what are the first three terms?

a)

3, 10, 17

b)

3, 23, 43

c)

3, 3613, 70

d)

3, 139, 1251

15.

If ∠A is an acute angle and sin A = 3/5 , find tan A.

a)

1.25

b)

0.75

c)

1.67

d)

0.60

16.

. A person had a rectangular-shaped garden with sides of lengths 16 meters and 9 meters. The garden was changed into a square design with the same area as the original rectangular-shaped garden. How many meters in length are each of the sides of the new squareshaped garden?

a)

9

b)

12

c)

57

d)

16

17.

Six years ago, CJ’s mother was less than twice the age of CJ then. Four years from now, twice her age will be four more than thrice his age. How old is CJ now?

a)

16

b)

36

c)

20

d)

30

18.

A man, who is 2 meters tall and standing 15 meters away from a tree, found that the angle of elevation of the top of the tree was 45 degrees. What is the height of the tree?

a)

13 m

b)

15 m

c)

17 m

d)

19 m

19.

A map of the locations of Beacon Hill, Fit City, and Nike Town is shown in the standard (x,y) coordinate plane below, where coordinates for x and y are given in miles. The coordinates of Beacon Hill and Nike Town are given, and Fit City is located along a straight line exactly halfway between Beacon Hill and Nike Town. Highway BN from Beacon Hill to Nike Town is 310 miles long and Highway FN from Fit City to Nike Town is 130 miles long.

What are the coordinates of Fit City?

a)

(80, 150)

b)

(120, 120)

c)

(120, 80)

d)

(240, 80)

20.

Which of the following statements is incorrect?

a)

a

b)

b

c)

c

d)

d

21.

The hotel transylvania has a total of 500 rooms. Each room contains a consecutive numbering from 1 to 500. How many bronze numbers must be made to accommodate all the room numbers?

a)

1389

b)

1390

c)

1391

d)

1392

22.

The length of a room is 4 feet greater than its width; if each dimension is increased by 1 feet, the area will be increased by 35 square feet. Find the area of the floor.

a)

100 ft^2

b)

185 ft^2

c)

200 ft^2

d)

285 ft^2

23.

In how many ways can the term PUPADS be rearranged?

a)

360

b)

375

c)

390

d)

405

24.

A group of 5 employees are to sit around a table with 5 seats in preparation for a meeting. How many distinct ways can they arrange themselves such that no two arrangements are identical except for rotation?

a)

20

b)

24

c)

28

d)

32

25.

Lyka was tasked to pick a ball from an urn containing 50 balls where 25 are black, 10 are white, and the rest are grey. What are the chances of getting a white on the second draw given that the first draw was a grey ball with no replacement?

a)

1/2

b)

1/5

c)

10/49

d)

9/49

26.

Determine the point of intersection between the lines x+y=20 and x-y=15

a)

(1, -3)

b)

(5/2, 35/2)

c)

(35/2, 5/2)

d)

(-3, 1)

27.

Abby is traveling using a motorized boat in the river. She travels 30 km upstream as well as she travels 25 km downstream. If the current’s speed is 5 kph, determine the boat’s speed in still water.

a)

50

b)

55

c)

60

d)

65

28.

During a biological experiment, the researchers culture a single-celled organism whose population doubles every hour. Their initial sample contains 15 bacterial cells. After 6 hours, how many bacterial cells will they have in the culture?

a)

90

b)

225

c)

480

d)

11,390,625

29.

Michael can make 13 questions in 3 hours. Sam can make 19 questions in 2 hours Glenn can make 21 questions in 6 hours. How many questions can they make together in 3 hours?

a)

48

b)

49

c)

51

d)

52

30.

. Sean added 50 mL of distilled water to a 75 mL brine solution whose initial concentration was 75%. What is the concentration of the new solution?

a)

45%

b)

40%

c)

35%

d)

50%

31.

Find the 1st term of a geometric sequence given that the 5th term and 7th term are ½ and ¾, respectively.

a)

9/2

b)

5/6

c)

8/7

d)

2/9

32.

A total of 300 dining sets were sold. Each dining set costs 500 php with 12% tax. How much tax was collected from the sold dining sets?

a)

15,000 PHP

b)

17,000 PHP

c)

18,000 PHP

d)

20,000 PHP

33.

During the distribution of periodic report cards, Rheinne got 94, 89, 93, 95, 90, and x on all of her subjects which attained a mean of 91.5. What is the value of x?

a)

87

b)

88

c)

89

d)

90

34.

The owner of a boba milk tea shop surveyed 300 people about their preference of flavor between matcha cheesecake and winter melon. If 145 people said they prefer matcha cheesecake only and 55 people said they did not prefer one flavor over the other and each person likes at least one of the two flavors, find the number of people who prefer winter melon.

a)

120 people

b)

100 people

c)

160 people

d)

200 people

35.

Solve this quadratic equation: 24x² = 3(43x − 15)

a)

x = ⅓ and x = 6

b)

x = 2/8 and x = -5

c)

x = 3 and x = ⅛

d)

x = ⅜ and x = 5

36.

Which of the following numbers does not share a common factor aside from 1 with the other three?

a)

199

b)

243

c)

567

d)

894

37.

Determine the measure of an angle given that its complement is 25° less than a half of its supplement.

a)

20°

b)

33.3°

c)

45°

d)

50°

38.

.Solve the inequality (4/3)× −5 > 𝑥 − 2.

a)

x > 3

b)

x > 6

c)

x > 9

d)

x > 12

39.

(x⁵) (x³)

a)

x⁸

b)

x⁴

c)

x⁷

d)

x²

40.

(3³) (2³)

a)

216

b)

35

c)

62

d)

182

41.

$\frac{\left(4^5\right)}{\left(4^3\right)}$

a)

4²

b)

4

c)

$\frac{5}{3}$

d)

64

42.

$\left(\frac{2}{3}\right)^3$

a)

8/27

b)

27/8

c)

2/3

d)

2/3

43.

(4²)²

a)

256

b)

8

c)

64

d)

16

44.

$\frac{2^{-4}}{3^{-3}}$

a)

27/32

b)

32/27

c)

3/2

d)

2/3

45.

$54^{\frac{1}{3}}$

a)

$3\sqrt[3]{2}$

b)

$\sqrt[]{2}$

c)

$\sqrt[3]{27}$

d)

$\sqrt[]{54}$

46.

Simplify the expression.

$\left(\frac{a^3b^5}{ab^2c}\right)^{-2}$

a)

$\frac{a^4b^{10}}{a^2b^4c^2}$

b)

$ab\sqrt[]{bc}$

c)

$\frac{c^2}{a^4b^6}$

d)

$-2\left(\frac{a^2b^3}{c}\right)$

47.

Simplify the expression:

$\frac{\sqrt[3]{\sqrt[2]{16}}\cdot\ \sqrt[3]{54}}{\sqrt[3]{216}}$

a)

1

b)

0

c)

2

d)

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

48.

Simplify the expression:

$3^2\log_3\ a+4\log_3\ b-\log_3\ c$

a)

$\frac{a^2b^4}{c}$

b)

$3^{2a+4b-c}$

c)

$2a+4b-c$

d)

$2a^3+4b^3-c^3$

49.

If r and s are the roots of $5x^2\ =\ 18x\ -3$ , what is the exact value of | r - s | ?

a)

$\frac{\sqrt[]{66}}{7}$

b)

$\frac{6\sqrt[]{26}}{13}$

c)

$\frac{2\sqrt[]{17}}{3}$

d)

$\frac{2\sqrt[]{66}}{5}$

50.

A scrapbook, three notebooks, and a ballpen costs Php 69. Two scrapbooks, three notebooks, and two ball pens cost Php 96. How much does one scrapbook, two notebooks, and one ballpen cost?

a)

PHP 45

b)

PHP 50

c)

PHP 55

d)

PHP 60

51.

Which of the following is a real-valued function?

a)

a

b)

b

c)

c

d)

d

52.

Assuming that the pattern continues, what is the 2023rd terms in the given sequence?

3, 5, 7, 9, 11, ...

a)

4045

b)

4047

c)

4049

d)

4051

53.

Two roads diverge from point A at an angle of 30 degrees. Kevin walks along one road at 8 kph. Charisse walks along the other 6 kph. How far apart are they after 2 hours?

a)

$4\sqrt[]{25-12\sqrt[]{13}}km$

b)

$2\sqrt[]{5-11\sqrt[]{3}}km$

c)

$\sqrt[]{25-24\sqrt[]{3}}km$

d)

$\sqrt[]{53-13\sqrt[]{13}}km$

54.

What is the probability of getting a sum of 5 after rolling two dice?

a)

1/2

b)

2/3

c)

17/36

d)

1/9

55.

In how many ways can you select from 4 shirts, 2 pants, and 7 hats if you have to wear one of each type of clothing?

a)

72

b)

64

c)

56

d)

48

56.

How many 3-digit even numbers can be made using the digits 0, 1, 3, 5, 6, 8, and 9 if the digit can be repeated?

a)

46

b)

66

c)

86

d)

126

57.

At a graduation party, people shake hands with each other. There were a total of 253 handshakes. How many people came to the graduation party?

a)

23

b)

33

c)

43

d)

53

58.

What are the mean, median, and mode of the following ungrouped data set?

24, 13, 26, 24, 25, 27, 11, 24, 25, 18

a)

21.7; 24; 24

b)

24; 24; 24

c)

21.7; 24; 25

d)

11; 24; 27

59.

Which of the following is NOT a Pythagorean triple?

a)

3, 4, 5

b)

15, 36, 39

c)

14, 48, 50

d)

13, 83, 84

60.

Which of the following is TRUE?

a)

$\frac{\sin\theta}{\cos\theta}\ =\ \frac{c}{a}$

b)

$\csc\theta=\frac{c}{a}$

c)

$\cot\theta=\frac{a}{b}$

d)

$\frac{\cos\theta}{\cot\theta}=\frac{a}{c}$

61.

Using the law of sines, which gives the length of a?

a)

$a=\frac{b\sin C}{\sin B}$

b)

$a=\frac{c\sin B}{\sin A}$

c)

$a=\frac{b\sin A}{\sin b}$

d)

$a=\frac{b\sin A}{\sin B}$

62.

Evaluate the limit:

$\lim_{x\rightarrow4}\ \frac{x-4}{\sqrt[]{x}-2}$

a)

1

b)

2

c)

3

d)

4

63.

Find the derivative of the given function:

$f\left(x\right)=\left(x^2+x+1\right)^3-\left(x^3-x^2\right)^2$

a)

a

b)

b

c)

c

d)

d

64.

Integrate:

$\int_{ }^{ }x^2\sqrt[]{x+2}dx$

a)

a

b)

b

c)

c

d)

d

Math

Total questions: 64

Worksheet time: 32mins

Similar Resources on Wayground