QUIZ TIME

📘Maths

1. What is the value of sin(0)?
a) 0
b) 1
c) -1
d) undefined

Answer: a) 0
2. Which of the following is an identity?
a) sin(a+b) = sin(a) + sin(b)
b) cos(a+b) = cos(a) + cos(b)
c) tan(a+b) = tan(a) + tan(b)
d) sin(2a) = 2sin(a)


Answer: d) sin(2a) = 2sin(a)
3. What is the period of the function f(x) = 2sin(x)?
a) π
b) 2π
c) 4π
d) 1


Answer: b) 2π
4. If sin(x) = 3/5, what is the value of cos(x)?
a) 4/5
b) 3/4
c) 4/3
d) 5/3


Answer: a) 4/5
5. What is the amplitude of the function f(x) = 3cos(2x)?
a) 1
b) 2
c) 3
d) 6


Answer: c) 3
6. Which of the following is a Pythagorean identity?
a) sin^2(a) + cos^2(a) = 1
b) tan^2(a) + 1 = sec^2(a)
c) cot^2(a) + 1 = csc^2(a)
d) all of the above


Answer: d) all of the above
7. What is the value of tan(π/4)?
a) 0
b) 1
c) -1
d) undefined


Answer: b) 1
8. If f(x) = sin(x) and g(x) = cos(x), what is the value of f(π/2) + g(π/2)?
a) 0
b) 1
c) 2
d) -1
Answer: c) 2


9. What is the phase shift of the function f(x) = sin(x + π/2)?
a) π/2
b) -π/2
c) π
d) -π


Answer: b) -π/2
10. Which of the following is a sum identity?
a) sin(a+b) = sin(a)cos(b) + cos(a)sin(b)
b) cos(a+b) = cos(a)cos(b) - sin(a)sin(b)
c) tan(a+b) = (tan(a) + tan(b))/(1 - tan(a)tan(b))
d) all of the above


Answer: d) all of the above

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#Day 3 Challenge:
#English
#Answer these 3 questions correctly to win 50 birr! (First correct answer wins.)

1. I had ___ finished my supper last night than my friend arrived.

A. almost
B. hardly
C. no sooner
D. just about

2. Which one is correct?
A. Helen every day reads the Bible.
B. She sees every Sunday a movie.
C. Seldom have I seen such a wonderful reception.
D. Hardly she had arrived when the rain started.

3. I am not good at Mathematics, but I __ any problem with my English.

A) had never have
B) have never had
C) never have
D) had never had

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#Day 3 Challenge:
#Mathematics
#Answer these 3 questions correctly to win 50 birr! (First correct answer wins.)

#Write your answers as a comment.

1. Is pi (π) a rational number? (Yes/No)

2. If x = 2 and y = 3 is a solution of the equation 8x - ay + 2a = 0, find the value of a.

3. Let ax² + 6x + c = 0. If the sum of the roots is -6/5 and the product is 1/5, then find the values of a and c.

Rules:

• Answer only (no explanation)
• One comment per person: Only one answer per user is allowed.
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#English at 1:30


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#Day 3 Challenge:
#Mathematics #English
#Answer 3 questions correctly to win 50 birr! (First correct answer wins.)

#Today @1:00 (Maths)
#Today @1:30 (English)

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Mathematics mcq about set.

1. If A = {1, 2, 3, 4, 5} and B = {3, 5, 7, 9}, what is A ∩ B?

a) {1, 2, 3, 4, 5, 7, 9}
b) {3, 5}
c) {7, 9}
d) {}

2. If A = {x | x is an even integer between 1 and 100} and B = {x | x is a multiple of 4 between 1 and 100}, which statement is true?

a) A ⊂ B
b) B ⊂ A
c) A = B
d) A and B are disjoint

3. The set of all subsets of a given set is called the:

a) Complement
b) Power set
c) Union
d) Intersection

4. If A = {1, 2, 3} and B = {4, 5, 6}, what is the cardinality of A × B (the Cartesian product)?

a) 3 b) 6
c) 9 d) 18

5. If U = {1, 2, 3, 4, 5, 6} and A = {1, 3, 5}, what is A'? (the complement of A)

a) {1, 3, 5} b) {2, 4, 6}
c) {} d) {1, 2, 3, 4, 5, 6}

6. Two sets A and B are disjoint if:

a) A ∪ B = {} b) A ∩ B = {}
c) A ⊂ B d) B ⊂ A

Answers:
1. b)
2. b)
3. b)
4. c)
5. b)
6. b)

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#Day 2 Challenge:
#English
#Answer these 3 questions correctly to win 50 birr! (First correct answer wins.)

1. ‌‌When the fire started I _ television.

A. was watching
B. watch
C. have been watching
D. was watched‌‌

2. Waiter: Can I get you anything else?
You: __.

A. No, thanks. I'm fine.
B. Please.
C. Yes, please. Bring me the bill.
D. Thanks.

3. The number of dogs in the Kebeles ___.

A. are increasing
B. is increasing
C. are many
D. have increased

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#Day 2 Challenge:
#Mathematics
#Answer these 3 questions correctly to win 50 birr! (First correct answer wins.)

1. What is the remainder when 2,334 is divided by 6?

2. If f(x) = x + 2 and g(x) = x - 2, what is (f ∘ g)(x)?

3. Let A = {3, 7, a²} and
B = {2, 4, a + 1, a + b} be two sets and all the elements of the two sets are integers. If A ∩ B = {3, 4, 7}, then the values of a and b are _and _respectively.


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• No editing: Edited answers will be disqualified.

#English at 1:30

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#Day 2 Challenge:
#Mathematics #English
#Answer 3 questions correctly to win 50 birr! (First correct answer wins.)

#Today @1:00 (Maths)
#Today @1:30 (English)

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Answer
1. C
2. C
3. A

More Explanation
1.
Option B, "taken," is the past participle of the verb "to take." A past participle needs an auxiliary verb (like "have," "has," "had," "were," etc.) to form a complete verb phrase. While a past participle could be used, it would require a different sentence structure. For example, "The students who had taken their final examination last week have gone to Adama" is grammatically correct, but it uses a different grammatical structure with a perfect participle clause.

3. Please check with comma(,) and without comma (,)

Also refer 'Advanced English book 1'


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#Day 1 Challenge:
#English
#Answer these 3 questions correctly to win 50 birr! (First correct answer wins.)

#Write your answers as a comment.

1. The students ___ their final examination last week have gone to Adama.

A. took
B. taken
C. taking
D. were taken

2. Which sentence correctly uses a relative pronoun?

a) The car, who is red, is mine.
b) The woman which lives next door is a doctor.
c) The book that I borrowed from you is excellent.
d) The teacher whom taught me is very kind.

3. The teachers, who have painted the pictures, have been appreciated. This sentence implies that__.

A. all teachers have been appreciated.
B. some teachers have been appreciated.
C. some of the teachers have been painted.
D. all the teachers have painted the pictures, but only some of them have been appreciated.

Rules:

• One comment per person: Only one answer per user is allowed.
• No editing: Edited answers will be disqualified.

#Next challenge tomorrow @1:00 and @1:30

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#Day 1 Challenge:
#Mathematics
#Answer these 3 questions correctly to win 50 birr! (First correct answer wins.)

#Write your answers as a comment.

1. Let A and B be two sets that contain 15 and 17 elements respectively. If A∩B contains 10 elements, what is the number of elements in A∪B?

A. 22
B. 12
C. 42
D. 32

2. List all subsets of {3, 4, 5}.

3. Is the statement {𝑎, 𝑏} ⊄ {𝑏, 𝑐, 𝑎} true or false?

Rules:

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Chemistry Grade 12 Unit 1
Multiple choice questions with answers

1. What is the pH of a 0.01 M solution of a strong diprotic acid?

a) 1
b) 2
c) Slightly greater than 2
d) Cannot be determined without knowing the acid's identity

2. A solution has a pH of 4. What is its pOH?

a) 4
b) 10
c) 14
d) Cannot be determined without knowing the temperature

3. Which species acts as a Lewis acid in the reaction
BF₃ + NH₃ → F₃B-NH₃?

a) BF₃ b) NH₃
c) F₃B⁻ d) NH₃⁺

4. Which statement best describes an amphiprotic species?

a) It can only accept a proton.
b) It can only donate a proton.
c) It can both donate and accept a proton.
d) It cannot donate or accept a proton

5. A Brønsted-Lowry base is defined as a substance that:

a) Accepts a proton.
b) Donates a proton.
c) Accepts an electron pair.
d) Donates an electron pair.

Answers
1. B
2. B
3. A
4. C
5. A

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