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Grade 12

This document is a mathematics mock exam for Grade 12, consisting of multiple-choice questions covering topics such as arithmetic sequences, geometric series, and sums of terms. It includes 10 questions with options for answers, and is designed for a 1-hour time limit. The total marks for the exam are 30.

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Temesgen Animaw
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0% found this document useful (0 votes)
26 views2 pages

Grade 12

This document is a mathematics mock exam for Grade 12, consisting of multiple-choice questions covering topics such as arithmetic sequences, geometric series, and sums of terms. It includes 10 questions with options for answers, and is designed for a 1-hour time limit. The total marks for the exam are 30.

Uploaded by

Temesgen Animaw
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Academic Year 2016/2023 1st semester Date: _____ Time allowed: 1hr

Name: Grade: __ _Section:_____ Total marks:30


Choose the correct answer for the following questions and write the letter of your best
choice on the answer sheet provided

1. The sum of the first four terms of an arithmetic sequence is 56.the sum of the last
four terms is 112.given that the first term is 11, find the value of the number of
terms.

A) 20 B) 15 C) 11 D) 12
2. The sum to infinity of a convergent geometric series is 3.the sum of the squares of
its terms is 3. What are the values of the common ratio and the first term?
1 3 2
A) G 1=1∧r= C) G 1= ∧r =
2 2 3
1 3 3 1
B) G1= ∧r= D) G1= ∧r =
2 4 2 2
3. If the sum of the first n-terms of an A.P is Sn=3 n2+ 5 n and its mth Term is 164, Then
the value of m is:
A) 28 B) 26 C) 36 D) 27
∑ ( 2n − n+1 )
31
2
4. find the sum of
n =1

31 62
A) C)
32 31
31 30
B) D)
16 31
5. There are 15 terms in a given A.P. the first term is 5 and the sum of all the 15 terms
is 390.Waht is the value of the middle term?
A) 26 B) 29 C) 32 D) 23
6. The sum of the first 2n terms of 2, 5 8 …. is equal to the sum of the first n-terms of
57, 59, 61, ………what is the value of n?
A) 11 B) 13 C) 10 D) 12

1st quarter Mathematics mock exam for Grade 12 February 2022 Page 1
7. Suppose a n is an arithmetic sequence with a 8 ¿ 6 and a 12=26. Find the general rule for
sum of first n-terms.

n n
A) sn= ( 5 n−63 ) C) sn= ( 2 n−35 )
2 2
n n
B) sn= ( 5 n+23 ) D) sn= ( 10 n−65 )
2 2
1 1 1 1
8. What is the value of the infinite product64 3 × 64 9 ×64 27 × 64 81 × … .. ?

A) 12 B) 8 C) 16 D) 4

9. The sum to infinity of a convergent geometric series is twice the sum of the first

two terms. What is the value of the common ratio?

A)
3
5
B) {√2
2 √2
,−
2 } C) {√2
3 √3
,−
2 } D) {12 ,− 12 }
10. In a geometric series, the sum of the first two terms is 180. The sum of the

first four terms is 225.what is the third term?

A) 20 B) 60 C) 30 D) 120

THE
==============================================END

1st quarter Mathematics mock exam for Grade 12 February 2022 Page 2

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