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Q4-Math-Summative Test

Total questions: 25

Worksheet time: 2hrs 5mins

Name
Class
Date
1.

"The measure of any exterior angle of a triangle is greater than the measure of either remote interior angles”. This statement is _________________.     

a)

Always true.

b)

Sometimes true.

c)

Never true.

d)

Not enough information.

2.

If in triangle ABC, AB<BC<AC\overline{AB}<\overline{BC}<\overline{AC}   which is true?

a)

C>A>B\angle C>\angle A>\angle B  

b)

A>B>C\angle A>\angle B>\angle C  

c)

B>A>C\angle B>\angle A>\angle C  

d)

C<A<B\angle C<\angle A<\angle B  

3.

Refer to the figure. Which is NOT true about m4m\angle4 ?

a)

m4=180°m1m\angle4=180\degree-m\angle1  

b)

m4=m2+m3m\angle4=m\angle2+m\angle3  

c)

m4=m1+m2m\angle4=m\angle1+m\angle2  

d)

m4+m1=180°m\angle4+m\angle1=180\degree  

4.

In the figure, ΔACEΔARE\Delta ACE\cong\Delta ARE . Find x if mARE=68°m\angle ARE=68\degree  and mACE=2x4m\angle ACE=2x-4 .

a)

34

b)

36

c)

43

d)

46

5.

Lines m and n are parallel cut by a transversal. Which can be used to find the value of x? 

a)

(5x20)°+3(x+10)°=180°\left(5x-20\right)\degree+3\left(x+10\right)\degree=180\degree  

b)

(5x20)°=3(x+10)°\left(5x-20\right)\degree=3\left(x+10\right)\degree  

c)

5x20+3x+10=1805x-20+3x+10=180  

d)

2x=102x=10  

6.

Lines m and n are parallel cut by a transversal. What is the value of x? 

a)

25

b)

23.75

c)

21.25

d)

5

7.

If two sides of a triangle are 6 cm and 8 cm, what must be the length of the third side for a triangle to exist?

a)

The third side is greater than 2 cm but less than 14 cm.

b)

The third side is greater than 2 cm.

c)

The third side is greater than 14 cm.

d)

The third side is greater than 6 cm but less than 8 cm.

8.

In the given figure, ab, RO=3, TS=4 and RSa\parallel b,\ \overline{RO}=3,\ \overline{TS}=4\ and\ \overline{RS} is a transversal, which of the following is TRUE?

a)

TRSOSR\angle TRS\cong\angle OSR  

b)

RTOS\overline{RT}\cong\overline{OS}  

c)

TO\angle T\cong\angle O  

d)

not here

9.

Given the diagram, what can be concluded regarding m∠U and m∠E?

a)

mU>mEm\angle U>m\angle E  

b)

mU<mEm\angle U<m\angle E  

c)

mU=mEm\angle U=m\angle E  

d)

No conclusion can be made.

10.

Given the diagram. Which of the following inequalities describes the possible values for x.

a)

0<x<60<x<6  

b)

2<x<102<x<10  

c)

6<x<10-6<x<10  

d)

4<x<204<x<20  

11.

In the figure, l1 and l2l_1\ and\ l_2  are cut by transversals m and n. What value of x will make ml2m\perp l_2  ?

a)

6

b)

9

c)

12

d)

15

12.

In the figure, line AR is parallel to line CE and line CA is parallel to line ER. If m1=110°m\angle1=110\degree , then what is the measure of ERA\angle ERA  ?

a)

10°10\degree  

b)

20°20\degree  

c)

70°70\degree  

d)

180°180\degree  

13.

∠1 and ∠2 are non-adjacent exterior angles on the same side of a transversal. If m∠1 = 2x + 25 and m∠2 = 3x + 15, find the measure of ∠2.

a)

28°28\degree  

b)

56°56\degree  

c)

81°81\degree  

d)

99°99\degree  

14.

Which of the following is FALSE?

a)

The probability of rolling 3 in a die is 1/6.

b)

Flipping a coin thrice has 3 possible outcomes.

c)

Answering a true/false type question has two possible outcomes.

d)

The probability of getting a head when a coin is tossed once can be expressed as 1/2 , 0.5 or 50%.

15.

Which of the following illustrates a theoretical probability?

a)

Bel rolled a die several times and recorded her observations.

b)

Bel tossed a coin and listed down the number of occurrences for heads and tails.

c)

Bel has three 10-peso coins, four 5-peso coins and five 1-peso coins. She repeatedly picked a coin from her pocket and listed down the outcomes.

d)

Bel asked her 40 classmates if they are left – handed. Based on the survey, 8 students said they are left – handed, so he/she estimated that there are only 8 left - handed students from the class.

16.

A glass jar contains 80 red, orange, yellow, and green plastic chips. If the probability of drawing at random a single ORANGE chip is 1/8, what does this mean?

a)

There are 8 orange chips in the glass jar.

b)

There are 10 orange chips in the glass jar.

c)

There is only one orange chip in the glass jar.

d)

There are more orange chips than the others.

17.

In a restaurant, you have a choice of one main dish, one vegetable, and one drink. The main dish choices are pork and chicken meat. The vegetable choices are broccoli, cabbage and “pinakbet”. The drink choices are “ buko” juice, soft drinks or water. How many dinners are possible?

a)

8

b)

12

c)

18

d)

24

18.

Mr. Kim asked his students to do an activity. Afterwards, his students noticed that the experimental probability of tossing heads is 54% while the theoretical probability is 50%. Being an attentive student, how would you explain this to your classmates?

a)

The experimental probability is wrong.

b)

We should toss the coin as high as possible to get a reliable result.

c)

It is normal for experimental probabilities to differ from the theoretical probabilities but for a large number of trials, the two will be very close.

d)

It is abnormal for the experimental probabilities to differ from the theoretical probabilities because the results must be the same.

19.

Which of the following DOES NOT belong to the group?

a)

Chance

b)

Interpretation

c)

Possibilities

d)

Uncertainty

20.

All the possible outcomes that can occur when a coin is tossed twice are listed in the box. What is the probability of having a head?

a)

1

b)

1/2

c)

1/4

d)

3/4

21.

A spinner with three equal divisions was spun 1000 times. The following information was recorded. What is the probability of the spinner landing on RED?

a)

27%

b)

29%

c)

45%

d)

73%

22.

Joy got coins from her pocket which accidentally rolled on the floor. If there were 8 probable outcomes, how many coins fell on the floor?

a)

3

b)

4

c)

8

d)

16

23.

In a family of 3 children, what is the probability that the middle child is a boy?

a)

1/8

b)

1/4

c)

1/3

d)

1/2

24.

Jun rolls two dice. The first die shows a 5. The second die rolls under his desk and he cannot see it. Now, what is the probability that both dice show 5?

a)

1/3

b)

1/6

c)

1/36

d)

9/36

25.

Achilles surveyed 40 of his classmates to determine their favorite cafeteria food. The results of his survey are shown in the table.

Suppose there are 200 students in the cafeteria during lunch. How many students would you expect to choose hamburgers as their favorite cafeteria food?

a)

90

b)

50

c)

45

d)

36