Maths Group11
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The main purposes of this channel are to:
1. ๐Ÿ“ Provide various Mathematics questions and exercises.
2. ๐Ÿ“š Share and publish different educational books.
3. ๐Ÿ“– Provide useful short notes and study materials.

For more, contact us through: @Fikiru_Asnake
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A rate of change of velocity is:
Anonymous Quiz
14%
displacement
6%
Momentum
77%
Acceleration
4%
Force
โค1
A runner jogs 14 km North then turns and runs 16 km East in three hours. What is his average speed?
Anonymous Quiz
39%
10 km/hr
30%
2/3 km/hr
16%
74.66 km/hr
14%
21. 26 km/hr
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The gradient of the line of velocity-time is equal to:
Anonymous Quiz
7%
Distance
33%
Displacement
56%
Acceleration
4%
Speed
She is _____ you. Both of you have the same height.
Anonymous Quiz
17%
taller than
73%
as tall as
6%
the tallest of
3%
taller than of
๐Ÿ‘5โค2
Hi my family how are you doing? How is everything going for you? Keep up your studying! If you have any comments on this channel, please feel free to write your comment. I am always with you.๐Ÿฅฐ๐Ÿฅฐ
โค10
In which grade are you currently now?
Anonymous Poll
4%
9
5%
10
18%
11
58%
12
14%
University freshman
2%
University 2nd year
She always _________ with her sister.
A. sleep
B. sleeping
C. sleeps
D. slept

Write your answer under the comment!
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We______ study in small groups when we were in the secondary school.
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17%
were used to
20%
have used to
50%
used to
13%
had used
Suppose a and b are the vectors with |a| = 2, |b| = 13 and a.b = 10, then what is the value of |aร—b| ?
Anonymous Quiz
46%
26
31%
24
11%
28
13%
12
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If u and v are perpendicular unit vectors, then what is the value of |3u - 4v| ?
Anonymous Quiz
44%
5
28%
16
16%
7
13%
34
โค5
Multiple Choice Questions Collected From Grade 12 Unit 1

1) Which of the following best describes a sequence? 
A) A group of numbers arranged in a specific order 
B) A set of random numbers 
C) Numbers that are not related to each other 
D) A sequence is not a mathematical concept 

Answer: A 
Explanation: A sequence is a list of numbers arranged in a specific order, where each number is related to the others by a defined rule.


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2) What is the common difference in the arithmetic sequence: 3, 7, 11, 15, ...? 
A) 2 
B) 3 
C) 4 
D) 5 

Answer: A 
Explanation: The common difference is found by subtracting any term from the next term (7 - 3 = 4).

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3) In a geometric sequence, if the first term is 2 and the common ratio is 3, what is the second term? 
A) 6 
B) 8 
C) 9 
D) 11 

Answer: A 
Explanation: The second term is found by multiplying the first term by the common ratio (2 ร— 3 = 6).


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4) What does the sigma notation represent in mathematics? 
A) The sum of a sequence 
B) The product of a sequence 
C) The average of a sequence 
D) The difference of a sequence 

Answer: A 
Explanation: Sigma notation (ฮฃ) is used to denote the sum of a sequence of numbers.


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5) What is the sum of the first 5 terms of the arithmetic sequence: 2, 5, 8, 11, ...? 
A) 30 
B) 33 
C) 35 
D) 40 

Answer: B 
Explanation: The first five terms are 2, 5, 8, 11, and 14. Their sum is 2 + 5 + 8 + 11 + 14 = 40.


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6) Which type of series does not have a finite sum? 
A) Arithmetic series 
B) Geometric series 
C) Infinite series 
D) Convergent series 

Answer: C 
Explanation: Infinite series can continue indefinitely and may not converge to a finite sum.


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7) An arithmetic progression has a first term of 4 and a common difference of 3. What is the 10th term? 
A) 31 
B) 30 
C) 34 
D) 33 

Answer: A 
Explanation: The formula for the nth term is aโ‚™ = aโ‚ + (n - 1)d. Thus, aโ‚โ‚€ = 4 + (10 - 1) โ‹… 3 = 31.


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8) In a geometric sequence, if the first term is 5 and the common ratio is 2, what is the fourth term? 
A) 10 
B) 15 
C) 20 
D) 25 

Answer: C 
Explanation: The fourth term can be calculated as aโ‚„ = aโ‚ โ‹… rโฟโปยน = 5 โ‹… 2ยณ = 40.


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9) What is the formula to find the nth term of an arithmetic sequence? 
A) aโ‚™ = aโ‚ + (n - 1)d 
B) aโ‚™ = aโ‚ ร— rโฟโปยน 
C) aโ‚™ = aโ‚ + rd 
D) aโ‚™ = aโ‚ รท rโฟโปยน 

Answer: A 
Explanation: The formula for finding the nth term in an arithmetic sequence is aโ‚™ = aโ‚ + (n - 1)d.


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10) Which of the following is an example of an arithmetic sequence? 
A) 2, 4, 8, 16, ... 
B) 3, 6, 9, 12, 15 ... 
C) 1, 3, 9, 27, ... 
D) 5, 10, 20, 40, ...
โค10
Even though the ball on the table is at stationery, there are still forces acting on it. What are those forces and how they cancel each other?