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IMCOSA SET 84 40TH ANNIVERSARY QUIZ COMPETITION FOR SENIOR CLASS

Total questions: 60

Worksheet time: 10mins

Name
Class
Date
1.

The sum of interior angles of a regular polygon is 720°. How many sides has the polygon got?

a)

6

b)

9

c)

10

2.

A boy is 3 times as old as a girl. If their total age is 48yrs. How old is the girl?

a)

12

b)

24

c)

16

3.

Find AC→\overrightarrow{AC}  

a)

3(b−a)3\left(b-a\right)  

b)

13(b−a)\frac{1}{3}\left(b-a\right)  

c)

13(a−b)\frac{1}{3}\left(a-b\right)  

d)

13(a+b)\frac{1}{3}\left(a+b\right)  

4.

Find BC→\overrightarrow{BC}  

a)

6a−5b6a-5b  

b)

a−6ba-6b  

c)

6a−15b6a-\frac{1}{5}b  

d)

6(15a−b)6\left(\frac{1}{5}a-b\right)  

5.

The surface area of a solid is given by the formula  A= πr2 +πrl.\pi r^2\ +\pi rl.   Factorise the expression A=  πr2 +πrl\pi r^2\ +\pi rl  fully.

a)

π(r2 +rl)\pi\left(r^2\ +rl\right)  

b)

πr(r+l)\pi r\left(r+l\right)  

c)

r(π+πl)r\left(\pi+\pi l\right)  

d)

Aπr2=πrlA\pi r^2=\pi rl  

6.

 Factorise x2 + xy +9x +9yx^2\ +\ xy\ +9x\ +9y

a)

(x+y)(x+9)

b)

(x2+9x) +(9x+9y)\left(x^2+9x\right)\ +\left(9x+9y\right)  

c)

x(x+y) + 9(x+y)

d)

(x2+9x)(xy+9y)\left(x^2+9x\right)\left(xy+9y\right)  

7.

Factorise completely 18m2−72y2Factorise\ completely\ 18m^2-72y^2  

a)

18((m+4y)(m-4y))

b)

18(m2−4y2)18\left(m^2-4y^2\right)  

c)

18((m+2y)(m-2y))

8.

The ratio of staff to guests at the gala was 3 to 5. There were a total of 576 people in the ballroom. How many guests were at the gala?

a)

366

b)

360

c)

214

d)

266

9.

Solve the quadratic x2 + 10x = −25.

a)

x = 5

b)

x = -5

c)

x = 10

d)

x = 5 and x = -5

10.

The diagonals of a rhombus are 30 cm and 40 cm long. Find its side.

a)

25 cm

b)

30 cm

c)

40 cm

d)

55 cm

11.

A company ships spherical paperweights in cubic boxes. The circumference of the paperweight is 9π cm. If the box fits the sphere exactly with the sides of the sphere touching the box, what is the volume of the smallest box the company can use for shipping.

a)

81 cm381\ cm^3

b)

90 cm390\ cm^3

c)

729 cm3729\ cm^3

d)

299 cm3299\ cm^3

12.

Line L and line K are perpendicular. Line L has a gradient of 3. Line K passes through the points (5, 8) and (2, y). What is the value of y?

a)

9

b)

-9

c)

-1/3

d)

3

13.

Ian is twice as old as Mark. In 20 years Mark will be ⅔ as old as Ian. How old is each now?

a)

15 and 30

b)

20 and 40

c)

30 and 60

d)

10 and 20

14.

In a certain class, the number of girls is 83 less than twice the number of boys. The total number of students in that class is 259. How many boys are in that class?

a)

145

b)

114

c)

141

d)

115

15.

Water flows over the Thompson's Falls at a rate of 3680 litres per second. After rain, this rate increases to 9752 litres per second. Calculate the percentage increase in this rate.

(a)  

16.

Easy: The coordinates of the vertices for rectangle ABCD are A (2, 4), B (6, 10), C (9, 8) and D (5, 2). What is the length of a diagonal?

a)

13\sqrt{13}

b)

52\sqrt{52}

c)

60\sqrt{60}

d)

65\sqrt{65}

17.

The diagram shows a circle with centre O. Given OF = 6.5 cm and EG = 5 cm, calculate the area of the shaded region, in cm2cm^2  . Give answers correct to two decimal places. (Use π\pi  = 3.142)

a)

107.25  cm2cm^2  

b)

102.75  cm2 cm^2\  

c)

102.57  cm2cm^2  

d)

107.52  cm2cm^2  

18.

The rectangular floor of a living room measures 4000cm long and 2800cm wide. The floor is covered with square tiles each of side 20cm. Calculate the number of square tiles used to cover the floor of the living room.

a)

2.8 x 104

b)

2.8 x 108

c)

5.6 x 104

d)

5.6 x 108

19.

8x4x+6÷4x+ 42x2−x−3\frac{8x}{4x+6}\div\frac{4x+\ 4}{2x^2-x-3}  

Simplify

a)

x4x+6\frac{x}{4x+6}  

b)

x4x−6\frac{x}{4x-6}  

c)

2x2x+3\frac{2x}{2x+3}  

d)

2x2x−3\frac{2x}{2x-3}  

20.

Given that x = -3, y = -2 and z = 1,  find the value of  4xy2z÷3yz34xy^2z\div3yz^3  


a)

8

b)

-8

c)

-4

d)

4

21.

I think the interior design in Tokopedia main office is _____ than the design in your father's office.

a)

beautiful

b)

very beautiful

c)

more beautiful

d)

. the most beautiful

22.

The information about the stock exchange market from your last presentation is _____ for me than the previous one.

a)

useful

b)

useful as

c)

the most useful

d)

more useful

23.

The Prius Plug-In Hybrid Car is into its second generation (starting in 2017) and it is designed with intelligent technology and thoughtful engineering. The underlined wordsin that sentence are _____

a)

adverbs

b)

nouns

c)

verbs

d)

adjectives

24.

The BMW i8 is a new tech hybrid sports car, which uses a plug-in hybrid power train to generate 357 horsepower. It is the_____ car that I have ever had.

a)

expensive

b)

so expensive

c)

more expensive

d)

most expensive

25.

BMW i8 has got the amazing price. It costs $135,700.

a)

One hundred thirty-five thousand and seven hundred dollars

b)

One thousand and thirty five dollars and seven hundred

c)

One hundred thousand and thirty five dollars and seven thousand

d)

One hundred and thirty five seventy thousand dollars

26.

If the field manager doesn’t come in the next 10 minutes, we ________ this meeting without him.

a)

will start

b)

have started

c)

started

d)

start

27.

The stock broker_____ 15,000 shares two days ago.

a)

will buy

b)

bought

c)

buys

d)

buy

28.

_____ the details of the proposed merger between our companies.

a)

Let’s be discussing

b)

Let’s discuss

c)

Let’s to discuss

d)

Let's do discuss

29.

My lecturer is a very energetic and successful business woman. Furthermore, she _____ a manager in a start-up company since 2015.

a)

will become

b)

has become

c)

becoming

d)

becomes

30.

I’m not sure that replacing the CEO will solve our problem in this company. The word CEO stands for _____

a)

Chief Executive Officer

b)

Captain Executive Organization

c)

Chef Executive Organization

d)

Captain Executive Officer

31.

The business negotiations are expected to be _____next week.

a)

continue

b)

continued

c)

continuing

d)

continues

32.

The manager _____________ your proposal, and he's quite impressed by your offer.

a)

has reviewed

b)

have reviewed

c)

is reviewed

d)

reviewing

33.

They were one of our biggest competitors in this industry, but they ___________ bankrupt last year.

a)

went

b)

have gone

c)

go

d)

gone

34.

The world first heard about cases of a novel coronavirus on December 31st, 2019. In just two short months after that, the World Health Organization _____ a global pandemic.

a)

declare

b)

declaring

c)

declares

d)

declared

35.

The COVID-19 pandemic has hit global trade and investment at an unprecedented speed and scale. The underlined words in the sentence are _____ .

a)

nouns

b)

adjectives

c)

adverbs

d)

verbs

36.

Multinational companies faced an initial supply shock, then a demand shock as more and more countries ordered people to stay at home. The underlined words in the sentence are _____

a)

nouns

b)

verbs

c)

adjectives

d)

adverbs

37.

Governments, businesses and individual consumers suddenly struggled to procure basic products and materials, and were forced to confront the fragility of the modern supply chain. The adjectives

a)

individual, basic, modern

b)

governments, businesses, consumers

c)

struggled, procure, confront

d)

fragility, supply, chain

38.

The challenge for the company is how to _____ its $3 billion debt.

a)

pay

b)

sell

c)

buy

d)

lend

39.

The payment must be made in 30 days. The underlined number is _____

a)

thirteen

b)

thirtee

c)

thirty

d)

threety

40.

Your company must have an insurance policy. Check in detail the risks that are covered by your policy. The underlined words in the sentence are _____

a)

verbs

b)

nouns

c)

adjectives

d)

adverbs

41.

The name Nigeria was coined from Niger and area by?

a)

Mary Slessor

b)

Lady Flora Lugard

c)

Queen Elizabeth

d)

Michelle Obama

42.

The first storey building in Nigeria was built in

a)

Epe

b)

Lekki

c)

Lokoja

d)

Badagry

43.

Nigeria became a Republic Nation on ..............

a)

October 1st 1964

b)

October 1st 1963

c)

October 1st 1962

d)

October 1st 1960

44.

The three(3) major ethnic groups in Nigeria are;

a)

Gwari, Yoruba and Jukun

b)

Hausa, Ibo and Nupe

c)

Kanuri, Tiv and Idoma

d)

Yoruba, Hausa and Ibo

45.

Nigeria is divided into states

a)

30

b)

36

c)

35

d)

29

46.

The first President in Nigeria

a)

Alhaji Tafawa Balewa

b)

Dr. Nnamdi Azikiwe

c)

Olusegun Obasanjo

d)

General Aguyi Ironsi

47.

Laws for the country are made by

a)

The President

b)

National Assembly

c)

Supreme Court

d)

Governor

48.

Nigeria shared boarder with which country to the West

a)

Cameroon

b)

Benin Republic

c)

Atlantic Ocean

d)

Chad

49.

Who was the first Military Head of State in Nigeria

a)

General Murtala Ramat Mohammed

b)

General Sani Abacha

c)

Major General Aguyi Ironsi

d)

Muhammed Buhari

50.

What is the correct colour combination of the Nigeria flag

a)

Blue, White, Blue

b)

Green, Green, White

c)

Green, White, Green

d)

Yellow, White , Yellow

51.

The Nigeria Civil War started in the year

a)

1968

b)

1967

c)

1965

d)

1969

52.

The country Nigeria is on which part of Africa

a)

West Africa

b)

North Africa

c)

East Africa

d)

South Africa

53.

The longest river in Africa is

a)

River Nile

b)

River Benue

c)

River Niger

d)

River Lokoja

54.

The two white horses on the Nigerian Coat of Arms stands for

a)

Strength

b)

Dignity

c)

Unity

d)

Peace

55.

Nigeria became an independent Nation on

a)

October 1st 1961

b)

October 1st 1960

c)

October 1st 1962

d)

October 1st 1963

56.

The Nigerian #50 note shows:

a)

Central bank

b)

The National Colours

c)

A great Leader

d)

Major tribes in Nigeria

57.

The local government in Nigeria is created to:

a)

Create more civil service jobs

b)

Encourage competition and rivalry among communities

c)

Bring the government nearer to the people

d)

Prevent the creation of more states

58.

Which of these men introduced indirect rule in Nigeria?

a)

Dr. Nnamdi Azikiwe

b)

Sir James Robertson

c)

Lord Lugard

d)

Mungo Park

59.

A nation consists of people with

a)

Common ancestry

b)

Common history

c)

A shared set of values

d)

All of the above

60.

Nigeria is made up of how many Geo-Political Zones

a)

5

b)

6

c)

7

d)

8