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50-ITEM QUIZ WITH EXPLANATIONS AND SOLUTIONS◆
PART 1: ENGLISH
PART II: MATHEMATICS
PART III: GENERAL INFORMATION

1. There is ____ sugar in my cup of coffee.
A. any B. many
C. a few D. a lot of√
●(We use 'A LOT' to talk about a large amount or number. The exact amount or number is not important. We can use 'a lot of' in positive and negative sentences and questions.)
('A LOT OF' is used before uncountable and countable nouns in positive sentences. Ex. a. There is a lot of good furniture in this mall.)
2. It's late but Joe hasn't come yet. I think _____ has happened.
A. something√ B. someone
C. some D. anything
●(We use the pronoun 'SOMETHING' to refer to things in affirmative sentences. 'SOMEONE' is used to refer to people.)●
3. They live a boring life. They never go _____.
A. where B. anywhere√
C. everywhere D. somewhere
●(We use 'ANYWHERE' in negative clauses/statements/sentences. 'NEVER' refers to negative meaning.)●
4. ____ men, ____ minds (idiom).
A. Any/any B. Much/much
C. Many/many√ D. A little/a little
●(We say 'Many men, many minds'.)●
5. Would you like an apple or a pineapple? -It doesn't matter, ____ is good for me.
A. either√ B. every
C. anyone D. anything
●('EITHER' is used to express a similarity with a statement made. Here: you can give an apple or a pineapple because I like them both.)●
6. Formal writing: ____ water is wasted.
A. Many B. Lots of
C. Plenty of√ D. A lot of
●(In formal writing, we use 'much' or 'plenty of')●
7. We left a glass of water on the windowsill for some days. Now ____ of water has evaporated.
A. most√ B. many
C. several D. none
●('MOST' is used with uncountable nouns. We use 'MANY', 'SEVERAL', and 'NONE' with countable nouns.)
8. We don't have ____ time for it.
A. many B. much√
C. few D. a few
●(We use 'MUCH' to talk about a large amount or number. The exact amount or number is not important. We usually use 'MUCH' in negative sentences and questions. In everyday English, we don't use 'MUCH' in positive sentences. 'MUCH' can be used in positive sentences only in a formal context: Much work remains to be done. And also with adverbs 'too' and 'so' - 'too much', 'so much': a. I'd love to come, but I've got too much work to do. b. We were having so much fun.)
('MUCH' is used before uncountable nouns. Ex. How much paper do we use in the office daily?)
9. I had ____ rice for lunch.
A. any B. a few
C. some√ D. many
●(We use 'SOME' in positive sentences/statements. Ex. a. He's got some books from the library. b. I will have some news next week. c. She has some valuable books in her house. d. Philip wants some help with his exams. e. There is some butter in the fridge. f. We need some cheese if we want to make a fondue.)
('SOME' is used with countable and uncountable nouns, to describe an indefinite or incomplete quantity.)
('SOME' is also used in questions where we are sure about the answers. Ex. a. Did he give you some tea? b. Is there some fruit juice in the fridge?)
('SOME' is used in situations where the question is not request for information, but a method of making a request, encouraging or giving an invitation. Ex. a. Could I have some books, please? b. Why don't you take some books home with you? c. Would you like some books?)
('SOME' is used in questions. Ex. a. Would you like some help? b. Will you have some more roast beef?)●
10. It's too dark, I can't see ______.
A. some B. something
C. any D. anything√
●(We use the pronoun 'ANYTHING' to refer to things in negative sentences, 'without' refers to the negative meaning and 'NEVER', 'HARDLY', 'WITHOUT' in positive sentences.)
11. It was the worst birthday ever. ____ friends visited me.
A. Few√ B. A few
C. Some D. Any
●(We use 'FEW' before countable nouns)●
12. Sam could see ___ because of the rain. The road was becoming more and more dangerous.
A. a few B. much
C. many D. little√
●(We use 'LITTLE' with verbs which are not followed by a noun)●
13. You have _____ money.
A. less B. enough√
C. more D. much
●('ENOUGH' is used to indicate the necessary amount or quantity. It is place before nouns.)●
14. You can borrow ___ of my books.
A. some B. a little
C. any√ D. a few
●('ANY' can also be used in positive statements to mean 'no matter which'.)●
15. I left my glasses _____ in the house.
A. somewhere√ B. nowhere
C. anywhere D. everywhere
●('SOMEWHERE' is used with positive statements)●
16. I have _____ money left after shopping.
A. a few B. a little√
C. few D. many
●(We use 'A LITTLE' before/with uncountable nouns and also means 'some'. Ex. There is a little cheese in the fridge.)
17. He has the ____ friends.
A. much B. least
C. more D. fewest√
●(FEWEST' is used only with countable plural nouns)●
18. There are ____ bananas left. This is not enough for us.
A. a little B. a few√
C. any D. many
●('A FEW' is used before plural countable nouns. Ex. 'Enough friends visited me'.)
('A FEW' means 'SOME'.)
19. He has the ____ time.
A. fewest B. most
C. least√ D. much
●('LEAST' is used only with uncountable nouns.)
20. They can choose ______ from the menu.
A. anything√ B. something
C. nothing D. everything
●('ANYTHING' can also be used in positive statements to mean 'no matter what'.)●
21. I don't think we've got _____ coffee left.
A. some B. a few
C. any√ D. many
●(We use 'ANY' in questions and with 'not' in negative sentences. Ex. a. Have you got any tea? b. He didn't give me any tea. c. Dear, have you bought any apples? d. There was hardly any policeman on the road. *'Hardly' refers to the negative meaning*.)
('ANY' is used with countable and uncountable nouns, to describe an indefinite or incomplete quantity.)
(We use 'ANY' in negative sentences and 'NEVER', 'HARDLY', WITHOUT' in positive sentences. Ex. a. She doesn't want any kitchen appliances for Christmas. b. They don't want any help moving to their new house. c. No, thank you. I don't want any more cake. d. There isn't any reason to complain.)
(We use 'ANY' in interrogative sentences. Ex. a. Do you have any friends in London? b. Have they got any children? c. Do you want any groceries from the shop? d. Are there any problems with your work?)●
22. I have the ____ apples.
A. much B. most√
C. least D. many
●('MOST' is used with countable and uncountable nouns.)●
23. She had ____ time to study than Jake but had better results.
A. least B. little
C. less√ D. the least
●('LESS' is used with than. The order is little(positive degree)- less(comparative degree)-*the* least(superlative degree)●
24. You may invite _____ to dinner, I don't mind.
A. anybody√ B. somebody
C. nobody D. everybody
●('ANYBODY' can also be used in positive statements to mean 'no matter who'.)●
25. There are _____ students in the class. (formal written English)
A. a lot of B. a little
C. much D. many√
●{In everyday English (natural English) English people do not use 'much' and 'many' in positive sentences, they prefer 'A LOT OF'. Ex. a. There are a lot of tourists here in the summer. They usually use 'much' and 'many' in negative sentences and questions: Are there many students here from Japan? In spoken English and informal writing we tend to use: 'A LOT', 'A LOT OF', 'LOTS OF' with countable and uncountable nouns. Ex. How many students are there in the classroom? - There are 'a lot'. In formal written English, it is also possible (and preferable) to use 'many' and 'much' rather than 'a lot of', 'lots of' and 'a lot' Ex. There are many students)
(We use 'MANY' to talk about a large amount or number. The exact amount or number is not important. We usuall use 'MANY' in negative sentences and questions. In everyday English, we don't 'MANY' in positive sentences. 'MANY' can be used in positive sentences only in a formal context: Many people feel that the law should be changed. And also with adverbs 'too' and 'so' - 'too many', 'so many'. a. There are too many mistakes in this essay. b. I've got so many things to do this morning.)
('MANY' is used with plural countable nouns.)
(We use 'MANY' before countable nouns. Ex. a. He eats many sweets everyday.
●NOTES●
●10 COMPARATIVE OR GRADED QUANTIFIERS●
●much, many, more, most, few, fewer, fewest, little, less, and least●
●Much, many, more and most describe (in ascending order) increase; much is used only with uncountable nouns, many only with plural countable nouns, and more and most with both.●
I have much time. < I have more time. < I have the most time.
I have many apples. < I have more apples. < I have the most apples.
●Few, fewer, fewest, little, less, and least chart decrease. The first three (in descending order) are used only with countable plural nouns. The last three (in descending order) are used only with uncountable nouns.)●
He has few friends. > He has fewer friends. > He has the fewest friends.
He has little time. > He has less time. > He has the least time.
●GRADED QUANTIFIERS● They function like comparatives and hold a relative position on a scale of 'INCREASE' or 'DECREASE'.
●Examples●
●many, more, most●
a. There are MANY people in English, MORE in India, but THE MOST people live in China.
●few, fewer, fewest●
b. FEW fivers in Europe are not polluted. FEWER people die young now than in the seventeenth century. The country with THE FEWEST people per square kilometer must be Australia.
●little, less, least●
c. Scientists have LITTLE hope of finding a complete cure for cancer before the year 2,000. She had LESS time to study than Jake but had better results. Give the dog the LEAST opportunity and it will bite you.
●QUANTIFIERS THAT EXPRESS ATTITUDE●
The words few, little and the phrases - a few and a little serve to describe the speaker's attitude to the quantity being described. The first two carry negative suggestions, whereas the last two carry positive suggestions.
●'ENOUGH'●
'ENOUGH' is used to indicate the necessary amount or quantity; it is placed before nouns. Ex. There is enough time, You have enough money, Is there enough food?.)
●QUANTIFIERS WITH COUNTABLE AND UNCOUNTABLE NOUNS●
Adjectives and adjectival phrases that describw quantity are shown below. Some can only go with countable nouns (friends, cups, people), and some can only go with uncountable nouns (sugar, tea, money, advice). Some words can be used with both countable and uncountable nouns.
●Only with uncountable nouns●
a. How much?
b. a little
c. a bit (of)
d. ---
e. a great deal of
f. a large amount of
g. ---
*+ noun*
●With uncountable and countable nouns●
a. How much? or How many?
b. no/none
c. not any
d. some (any)
e. a lot of
f. plenty of
g. lots of
●Only with countable nouns●
a. How many?
b. a few
c. a number (of)
d. several
e. a large number of
f. a great number of
g. ---
**NOTE: 'much' and 'many' are used in negative and question forms.
●Examples●
a. HOW MUCH money have you got?
b. HOW MANY cigarettes have you smoked?
c. There's NOT MUCH sugar in the cupboard.
d. There wereN'T MANY people at the concert.
●In positive statements, we use A LOT OF●
Examples:
a. I've got A LOT OF of work this week.
b. There were A LOT OF people at the concert.
●THE QUANTIFIERS--A FEW AND FEW, A LITTLE AND LITTLE●
These expressions show the speaker's ATTITUDE towards the quantity he/she is referring to.
●A FEW● (for countable nouns) and ●A LITTLE● (for uncountable nouns. 'A little' means 'some, but not much') describe the quantity in a POSITIVE way:
Examples:
a. "I've got A FEW friends" (maybe not many, but enough)
b. I have A FEW friends. (Practically it means a small number of friends.)
c. "Ive got A LITTLE money (I've got enough to live on)
d. There is A LITTLE water in the jug. (Practically it means some water)
●FEW and ●LITTLE● ●FEW● describe the quantity in a NEGATIVE way.
●LITTLE● means 'hardly any' and it has NEGATIVE meaning.
Examples:
a. FEW people visited him in hospital (he had almost no visitors)
b. I have FEW friends. (Practically it means no friends.)
c. He had LITTLE money (almost no money)
d. There is LITTLE water in the jug. (Practically it means no water.)
●THE QUANTIFIERS--COMPOUND NOUNS MADE WITH SOME, ANY & NO●
●Some+ -thing, -body, -one, -where●
●Any+ -thing, - body, -one, -where●
●No+ -thing, -body, -one, -where
Compound nouns with 'some-' and 'any-' are used in the same way as 'some' and 'any'.
●POSITIVE STATEMENTS●
Examples:
a. SOMEONE is sleeping in my bed.
b. He saw SOMETHING in the garden.
c. I left my glasses SOMEWHERE in the house.
●QUESTIONS●
Examples:
a. Are you looking for SOMEONE? (I'm sure you are)
b. Have you lost SOMETHING? (I'm sure you have)
c. Is there ANYTHING to eat? (real question)
d. Did you go ANYWHERE last night?
●NEGATIVE STATEMENTS●
Examples:
a. She didn't go ANYWHERE last night.
b. He doesn't know ANYBODY here.
●NOTICE● that there is a difference in emphasis between 'nothing' 'nobody', etc. and 'not ... anything', 'not ... anybody'.
Examples:
a. I doN'T know anything about it. (neutral, no emphasis)
b. I know NOTHING about it (more emphatic, maybe defensive)
●SOMETHING, SOMEBODY, SOMEWHERE●
Examples:
a. I have SOMETHING to tell you.
b. There is SOMETHING to drink in the fridge.
c. He knows SOMEBODY in New York.
d. Sam has SOMEBODY staying with her.
e. They want to go SOMEWHERE hot for their holidays.
f. Kim is looking for SOMEWHERE to live.
●ANYBODY, ANYTHING, ANYWHERE●
Examples:
a. Is there ANYBODY who speaks English here?
b. Does ANYBODY have the time?
c. Is there ANYTHING to eat?
d. Have you anything to say?
e. He doesn't have ANYTHING to stay tonight.
f. I wouldn't eat ANYTHING except at Maxim's.
●NOBODY, NOTHING, NOWHERE●
a. There is NOBODY in the house at the moment.
b. When I arrived there was NOBODY to meet me.
c. I have learnt NOTHING since I began the course.
d. There is NOTHING to eat.
e. There is NOWHERE as beautiful as Paris in the Spring.
f. Homeless people have NOWHERE to go at night.
●ANY● can also used in positive statements to mean 'no matter which', 'no matter who', 'no matter what' :
Examples:
a. You can borrow ANY of my books.
b. They can choose ANYTHING from the menu.
c. You may invite ANYBODY to dinner, I don't mind.
●USE OF AS SOON AS & NO SOONER.. THAN●
'AS SOON AS' has positive meaning. A sentence using 'AS SOON AS' can be changed with 'NO SOONER ... THAN'
Examples:
●using AS SOON AS●
a. AS SOON AS the teacher entered the class, all the students stood up.
●using NO SOONER ... THAN●
b. NO SOONER did the teacher enter the class THAN all the students stood up.
●using AS SOON AS●
a. AS SOON AS they visit him, he welcomes them.
●using NO SOONER ... THAN●
b. NO SOONER do they visit him THAN he welcomes them.
PART 2: MATHEMATICS
26. Find the area of a trapezoid whose parallel sides measure 4 cm and 6 cm, and whose altitude is 1.5 cm.
A. 5.5 cm^2 B. 6.5 cm^2
C. 7.5 cm^2√ D. 8.5 cm^2
●SOLUTION(s)●
●Trapezoid is a polygon with four (4) sides●
●parallel sides or base: a & b = 4 cm & 6 cm●
●altitude or height (h) = 1.5 cm●
●FORMULA●
●(AREA OF A TRAPEZOID)●
●A = 1/2 h (a+b)●
●A = 1/2 (1.5) (4+6)●
●A = 1/2 (1.5) (10)●
●A = 1/2 (15)●
●A = 1/2 (15/1)●
●A = 15/2●
●A = 7.5 cm^2●
27. Find the area of a triangle whose length is 10 cm and whose height is 25 cm.
A. 125 cm^2√ B. 115 cm^2
C. 105 cm^2 D. None of these
●SOLUTION(s)●
●A triangle is a polygon with three (3) sides●
●FORMULA●
●(AREA OF A TRIANGLE)●
●length = L = 10 cm●
●height = h = 25 cm●
●A = 1/2L X h●
●A= 1/2(10) X (25)●
●A = 1/2(10/1) X (25)●
●A = 5 X 25●
●A = 125 cm^2●
28. Find the perimeter of a square whose sides measure 7 cm each.
A. 21 cm B. 28 cm√
C. 14 cm D. None of these
●SOLUTION(s)●
●Square is a polygon with four (4) sides●
●FORMULA●
●(PERIMETER OF A SQUARE)●
●P = s X 4●
●P = 7 cm X 4●
●P = 28 cm●
29. The length of a rectangle is 5 meters (m) more than its width. If the perimeter is 70 m. What are its dimensions?
A. 15 cm and 20 cm√ B. 20 cm and 25 cm
C. 25 cm and 30 cm D. 30 cm and 35 cm
●SOLUTION(s)●
●Rectangle is a polygon with four (4) sides●
●L = 5+w (length of a rectangle is 5 m. more than its width)●
●width: x●
●length: x+5●
perimeter = P: 70
●FORMULA●
●(PERIMETER OF A RECTANGLE)●
●P = 2L+2w●
●70 = 2(x+5)+2(x)●
●(We must apply the distribution property of multiplication on the right side of the equation, a (b+c) = ab+ac)●
●70 = 2x+10+2x●
●70 = 4x●
●70-10 = 4x●
●60 = 4x●
●(60 and 4 are both divisible by 4)●
●60/4 = 4x/4●
●15 = x●
●x= 15 cm● (width)
●x+5 = 15+5●
●20 cm● (length)
30. Find the perimeter of a dodecagon whose sides measure 6 cm each.
A. 48 cm B. 54 cm
C. 60 cm D. None of these√
●SOLUTION(s)●
●Dodecagon is a polygon with twelve (12) sides●
●(PERIMETER OF A DODECAGON)●
●P = s X 12●
●P = 6 cm X 12
●P = 72 cm●
31. Find the perimeter of an equilateral triangle whose sides measure 37.5 cm each.
A. 111.5 cm B. 112.5 cm√
C. 113.5 cm D. None of these
●SOLUTION(s)●
●Equilateral triangle is a triangle with three (3) equal sides●
●FORMULA●
●(PERIMETER OF AN EQUILATERAL TRIANGLE)●
●P = s1+s2+s3●
●P = 37.5 cm + 37.5 cm + 37.5 cm●
●P = 112.5 cm●
32. Find the area of a heptagon whose sides measure 8.3 cm each.
A. 66.89 cm^2 B. 67.89 cm^2
C. 68.89 cm^2√ D. None of these
●SOLUTION(s)●
●Heptagon is a polygon with seven (7) sides●
●FORMULA●
●A = s^2●
●A = (8.3 cm)^2●
A = (8.3 cm)(8.3 cm)
●A = 68.89 cm^2●
33. Find the perimeter of a nonagon whose sides measure 6.5 cm each.
A. 58.5 cm√ B. 52 cm
C. 45.5 cm D. None of these
●SOLUTION(s)●
●Nonagon is a polygon with nine (9) sides●
●FORMULA●
●(PERIMETER OF A NONAGON)●
●P = s X 9●
●P = 6.5 cm X 9●
●P = 58.5 cm●
34. Find the height of a trapezoid whose base lengths are 3 and 7 units and whose area is 15 sq. units.
A. 2 units B. 3 units√
C. 4 units D. 5 units
●SOLUTION(s)●
●Trapezoid is a polygon with four (4) sides●
●parallel sides or base: a & b = 3 & 7●
●Area = A = 15●
●FORMULA●
●(AREA OF A TRAPEZOID)●
●A = 1/2 h (a+b)●
●15 = 1/2 h (3+7)●
●15 = 1/2 h (10)●
●15 = 1/2 h (10/1)●
●15 = 5h●
●(15 and 5 are both divisible by 5)●
●15/5 = 5h/5●
●3 = h
●h = 3 units●
35. Find the perimeter of an isosceles triangle whose sides are 36.5 cm, 39.5 cm, and 39.5 cm.
A. 113.5 cm B. 114.5 cm
C. 115.5 cm√ D. None of these
●SOLUTION(s)●
●Isosceles triangle is a triangle with two (2) equal sided●
●(PERIMETER OF AN ISOSCELES TRIANGLE)●
●P = 36.5 cm +39.5 cm + 39.5 cm●
●P = 115.5 cm●
36. The circle has a radius of 3.5 meters. Find its area.
A. 38.46 m^2√ B. 38.47 m^2
C. 38.50 m^2 D. None of these
●SOLUTION(s)●
●Use π = 3.14●
●radius = r = 3.5 m●
●FORMULA●
(AREA OF A CIRCLE)
●A = πr^2●
●A = (3.14)(3.5 m)^2●
●A = (3.14)(3.5 m)(3.5 m)●
●A = (3.14)(12.25 m^2)●
●A = 38.465 m^2 (Must be round off up to two decimal places. "6" at the left & "5" at the right. "6" is an even number, that means it is still retained even if "5" is in the right side.●
●A = 38.46 m^2●
37. Find the perimeter of a decagon whose sides measure 5.7 cm each.
A. 45.6 cm B. 51.3 cm
C. 57 cm√ D. None of these
●SOLUTION(s)●
●Decagon is a polygon with ten (10) sides●
●FORMULA●
●(PERIMETER OF A DECAGON)●
●P = s X 10●
●P = 5.7 cm X 10●
●P = 57 cm●
38. Find the area of a parallelogram whose sides measure 7.7 cm each.
A. 58.29 cm^2 B. 59.29 cm^2√
C. 60.29 cm^2 D. None of these
●SOLUTION(s)●
●Parallelogram is a polygon with four (4) sides●
●FORMULA●
●(AREA OF A PARALLELOGRAM)●
●A = S^2●
●A = (7.7 cm)^2●
A = (7.7 cm)(7.7 cm)
●A= 59.29 cm^2●
39. Find the surface area of a rectangular prism whose length is 5 cm, width is 4 cm, and height is 6 cm.
A. 118 cm^2 B. 128 cm^2
C. 138 cm^2 D. None of these√
●SOLUTION(s)●
●length: 5 cm●
●width: 4 cm●
●height: 6 cm●
●FORMULA●
●(SURFACE AREA OF A RECTANGULAR PRISM)●
●SA = 2Lw+2Lh+2wh●
●SA =2(5 cm)(4 cm)+2(5 cm)(6 cm)+2(4 cm)(6 cm)●
●SA = 40 cm^2+60 cm^2+48 cm^2●
●SA = 148 cm^2●
40. Find the area of a square whose sides measure 5 cm each.
A. 25 cm^2√ B. 15 cm^2
C. 5 cm^2 D. none of these
●SOLUTION(s)●
●Square is a polygon with four (4) sides.
●FORMULA●
●(AREA OF A SQUARE)●
●A = s^2●
●A = (5 cm)^2●
A = (5 cm)(5 cm)
●A = 25 cm^2●
41. Find the area of a hexagon whose sides measure 6.7 cm each.
A. 44.59 cm^2 B. 44.69 cm^2
C. 44.79 cm^2 D. None of these√
●SOLUTION(s)●
●Hexagon is a polygon with six (6) sides●
●FORMULA●
●(AREA OF A HEXAGON)●
●A = s^2●
●A = (6.7 cm)^2●
A = (6.7 cm)(6.7 cm)
●A = 44.89 cm^2 ●
42. A milk can has a radius of 9 cm and a height of 30 cm. How much milk does it contain?
A. 7,603.20 cm^3 B. 7,630.20 cm^3√
C. 7,306.20 cm^3 D. 7360.20 cm^3
●SOLUTION(s)●
●Use π = 3.14●
●radius = r = 9 cm●
●height = h = 30 cm●
●FORMULA●
●VOLUME OF A CYLINDER)●
●V = πr^2h●
●V = (3.14)(9 cm)^2(30 cm)●
●V = (3.14)(81 cm^2)(30 cm)●
●V = (3.14)(2,430 cm^3)●
●V = 7,630.20 cm^3●
43. A trapezoid has an area 75 sq. cm., height 15 cm, and base of 6 cm. Find the other base.
A. 2 cm B. 3 cm
C. 4 cm√ D. 5 cm
●SOLUTION(s)●
●Trapezoid is a polygon with four (4) sides●
●Area = A = 75●
●altitude or height (h) = 15●
●parallel side or base = a = 6 cm●
●parallel side or base = b = ?●
●FORMULA●
●(AREA OF A TRAPEZOID)●
●A = 1/2 h (a+b)●
●75 = (1/2) 15 (6+b)●
●We have to eliminate the fraction(s), so, we must multiply "2" to both sides of the equation. Cancellation of "2" on the right side of the equation●
●(2) 75= (2) (1/2) 15 (6+b)●
●150 = (1) 15 (6+b)●
●150 = 15 (6+b)●
●We must apply the distribution property of multiplication on the right side of the equation, a (b+c) = ab+ ac●
●150 = 15(6)+15(b)●
●150 = 90+15b●
●150-90 = 15b●
●60 = 15b●
●(60 and 15 are both divisible by 15●
●60/15 = 15b/15●
●4 = b●
●b = 4 cm●
44. Find the perimeter of a scalene triangle whose sides measure 33.25 cm, 35.5 cm, and 37.75 cm.
A. 105.5 cm B. 106.5 cm√
C. 107.5 cm D. None of these
●SOLUTION(s)●
●Scalene triangle is a triangle with no (0) equal sides●
●FORMULA●
●(PERIMETER OF A SCALENE TRIANGLE)●
●P = 33.25 cm +35.5 cm + 37.75 cm●
●P = 106.5 cm●
45. Two rectangular boards, each measuring 7 cm X 5 cm, are placed together to make one large board. How much shorter will the perimeter be if the two long sides are placed together, if the other two shorter sided are placed together?
A. 1 B. 2
C. 3 D. None of these√
●SOLUTION(s)●
●Rectangle is a polygon with four (4) sides●
●FORMULA●
●(PERIMETER OF A RECTANGLE)●
●P = 2L+2w●
●P = 2(7)+4(5)●
●P = 14+20●
●P = 34 (1st rectangular board)●
●P = 2L+2w●
●P= 4(7)+2(5)●
●P= 28+10●
●P = 38 (2nd rectangular board)
●Difference = (2nd rectangular board) minus (1st rectangular board)●
●Difference = 38-34●
●4●
PART 3: GENERAL INFORMATION
46. Those born before ________, of Filipino mothers, who elect Philippine Citizenship upon reaching the age of majority are citizens of the Philippines.
A. January 17, 1971 B. January 17, 1972
C. January 17, 1973√ D. January 17, 1974
●(Citizenship)●
●(Article IV, Section 1)●
47. The Supreme Court shall be composed of a Chief Justice and ____ Associate Justices.
A. twelve B. thirteen
C. fourteen√ D. fifteen
E. sixteen
●(Judicial Department)●
●(Article VIII, Section 4)●
48. The Constitutional Commissions, which shall be independent, are:
a. the Civil Service Commission
b. the Commission on Elections
c. the Commission on Audit
A. a B. b
C. c D. a & b
E. a, b & c√
●Constitutional Commissions (A Common Provisions)●
●(Article IX, Section 1)●
49. The _____ of the Philippines shall exercise general supervision over local governments.
A. Mayors B. Governors
C. Senators D. DILG Secretary
E. President√
●(Local Government)●
●(Article X, Section 4)●
50. Stephanie Del Valle is from what specific country?
A. Dominican Republic B. Indonesia
C. Kenya D. Puerto Rico√
E. Philippines
●(Miss Puerto Rico Stephanie Del Valle crowned Miss World 2016)●

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