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Worksheets

w1asd12312asadasd

Total questions: 30

Worksheet time: 35mins

Name
Class
Date
1.

EASY ROUND: What is the cardinality for the set of all prime numbers less than 20?

a)

5

b)

6

c)

7

d)

8

2.

EASY ROUND: Evaluate the expression (a−b)2 where a = 2, b = 7\left(a-b\right)^2\ where\ a\ =\ 2,\ b\ =\ 7  

a)

25

b)

-25

c)

10

d)

-10

3.

EASY ROUND: Which of the following is equivalent to the decimal 3.1‾3.\overline{1}  

a)

3110\frac{31}{10}  

b)

319\frac{31}{9}  

c)

289\frac{28}{9}  

d)

299\frac{29}{9}  

4.

EASY ROUND: Translate "Four less than thrice the square of z" to a mathematical expression.

a)

4−3z24-3z^2  

b)

4−(3z)24-\left(3z\right)^2  

c)

3z2−43z^2-4  

d)

(4−3z)2\left(4-3z\right)^2  

5.

EASY ROUND: Between which two integers does the value of 156\sqrt[]{156}  lie?

a)

10 and 11

b)

12 and 13

c)

13 and 14

d)

155 and 157

6.

EASY ROUND: Which of the following is considered as polynomial?

a)

4uv−54uv^{-5}  

b)

6y\frac{6}{y}  

c)

6abc6abc  

d)

4g\sqrt[]{4g}  

7.

EASY ROUND:Identify the degree of the polynomial of −12mn2+4mn−4-12mn^2+4mn-4  

a)

2

b)

3

c)

5

d)

0

8.

EASY ROUND: Which integer is closest to 540\sqrt[]{540}  ?

a)

25

b)

24

c)

23

d)

22

9.

EASY ROUND: The following scores are in ascending order: 17; 19; 26; 29; 33 and 35. Find the median.

a)

26

b)

29

c)

26.5

d)

27.5

10.

EASY ROUND: The sum of the measures of the interior angles of a polygon is 1980°1980^{\degree}   . How many sides has the polygon?

a)

12 sides

b)

13 sides

c)

14 sides

d)

15 sides

11.

AVERAGE ROUND: The length of a rectangular garden is 4 m longer than the width. If the perimeter is 52 m, what is the area?

a)

165 m2165\ m^2  

b)

672 m2672\ m^2  

c)

145 m2145\ m^2  

d)

652 m2652\ m^2  

12.

AVERAGE ROUND: A square field has an area of 169 m2169\ m^2 . If each side of the field is doubled what will be the new area?

a)

625m2625m^2  

b)

656m2656m^2  

c)

676m2676m^2  

d)

729m2729m^2  

13.

AVERAGE ROUND: A group of 20 boys decided to play mobile games. Among them, 8 played Mobile Legends, 9 played Call of Duty and 5 played both games. How many boys played only one game?

a)

3

b)

4

c)

7

d)

8

14.

AVERAGE ROUND: Which of the following is the result of the operation: (925×356)−[185÷(−920) ]\left(\frac{9}{25}\times\frac{35}{6}\right)-\left[\frac{18}{5}\div\left(-\frac{9}{20}\right)\ \right]  

a)

10.1

b)

6.1

c)

-10.1

d)

-6.1

15.

AVERAGE ROUND: Given  A = {x | x is even, x < 10} and B = {x | x is a multiple of 5, x < 25}, which of the following operations is true?

a)

A∪B=BA\cup B=B  

b)

A∩B={}A\cap B=\left\{\right\}  

c)

A−B=AA-B=A  

d)

B−A=A−BB-A=A-B  

16.

AVERAGE ROUND: The length of a rectangular fence for chickens is twice as much as its width. Peter wants to increase the length and width of the fence by 2 meters each. Which expression will represent the area of the new fence?

a)

(2x+2)(x+1)\left(2x+2\right)\left(x+1\right)  

b)

(2x+2)(x+2)\left(2x+2\right)\left(x+2\right)  

c)

(x+2)(x+2)\left(x+2\right)\left(x+2\right)  

d)

(x+2)(x+1)\left(x+2\right)\left(x+1\right)  

17.

AVERAGE ROUND: Find two consecutive odd integers such that three times the smaller integer equals twice the second added to seven.

a)

9 and 11

b)

11 and 13

c)

13 and 15

d)

15 and 17

18.

AVERAGE ROUND: A rectangle with dimension xx   by x+10x+10   has the same area as the square with side x+3x+3  . What is xx  ?

a)

11  

b)

−1-1  

c)

94\frac{9}{4}  

d)

49\frac{4}{9}  

19.

AVERAGE ROUND: Suppose A, B, and C are collinear with B between A and C. If AB=4x−1AB=4x-1  , BC=3x+5BC=3x+5  and AC=18AC=18  . What is BC?

a)

2

b)

7

c)

9

d)

11

20.

AVERAGE QUESTION: In a 10-point quiz given to 40 students, 15 scored 10, 6 scored 9, 9 scored 8, 2 scored 7, and the rest scored 6. Find the mean score of the 40 students

a)

8.3

b)

8.35

c)

8.4

d)

8.45

21.

DIFFICULT ROUND: In a class of 50 students, 17 read Noli Me Tangere, 13 watched its play, and 10 watched its TV series. Also, 8 both read the local and watch the play, 4 watch the play and the TV series, and 6 read the novel and watched the TV series. Nobody did all three. How many students had not done any of the three activities?

a)

26 students

b)

28 students

c)

30 students

d)

32 students

22.

DIFFICULT ROUND: A car leaves A at 6:00 AM and travels to B at a rate of 60kph. A bus leaves B at 6:30 AM and travels to A at a rate of 75kph. If the car and the bus pass each other midway between A and B, at what time will the car pass the bus?

a)

7:30 AM

b)

8:00 AM

c)

8:30 AM

d)

9:00 AM

23.

DIFFICULT ROUND: The length of a rectangular piece of farmland is 20 less than thrice its width. If the perimeter of the farm land is 360 m, determine its length and width

a)

130 m and 50 m

b)

120 m and 60 m

c)

110 m and 70 m

d)

140 m and 40 m

24.

DIFFICULT ROUND: Two investments: a certain amount at 3% annual interest rate and P5,000.00 on a 5% annual interest rate were made. If the two investments earned a total P1,000.00 in a year, how much was the first investment?

a)

P20,000.00

b)

P25,000.00

c)

P30,000.00

d)

P35,000.00

25.

DIFFICULT ROUND: The average of six consecutive odd integers is 4. What is the smallest of the six integers?

a)

-3

b)

-1

c)

1

d)

3

26.

DIFFICULT ROUND: The regular admission rate for a musical is P850.00. For students, senior citizens, and persons with disability, the discounted rate is P400.00. The number of tickets sold at the regular rate is 220 less than twice the number sold at the discounted rate. If the total ticket sales is P590,000.00, how many tickets were sold at the discounted rate?

a)

370

b)

380

c)

390

d)

400

27.

DIFFICULT ROUND: Mrs. Torres conducted a survey among her students to determine their preferred pet. Fifty-five students chose dogs, fifty chose cats, ten chose rabbits, and five chose other animals. If Mrs. Torres wishes to represent these data using a pie chart, what angle would the sector for cats be?

a)

100°100\degree  

b)

120°120\degree  

c)

150°150\degree  

d)

170°170\degree  

28.

DIFFICULT ROUND: Rosa's mean score for the first five tests in her math class is 85. If the lowest score is removed, then the mean of the remaining scores becomes 88. What did Rosa score in her lowest exam?

a)

71

b)

72

c)

73

d)

74

29.

DIFFICULT ROUND: Alex, Beth, and Carla play a game in which the losing player in each round gives each of the other players as much money as the player has at that time. In round 1, Alex loses and gives Beth and Carla as much money as they each have. In round 2. Beth loses and in Round 3, Carla loses. After 3 rounds, they find that they each have P40.00. How much money did Alex have at the start of the game?

a)

P50.00

b)

P60.00

c)

P70.00

d)

P80.00

30.

DIFFICULT ROUND: If the letter of the word MATHEMATICS are repeatedly and consecutively written, what is the 2022nd2022^{nd}  letter?

a)

M

b)

A

c)

T

d)

I