Class notes nursing and pharmacology, engineering mathematics,

NIBS/RUIRU/EXAM/MOCK/F005




071606T4AUT
AUTOMOTIVE TECHNICIAN LEVEL 6
ENG/OS/AUT/CC/2/6
APPLY ENGINEERING MATHEMATICS
September 2025
Formative Assessment 1 2 3 4
TERM 3


TVET CURRICULUM DEVELOPMENT, ASSESSMENT
AND CERTIFICATION COUNCIL (TVET CDACC)

WRITTEN ASSESSMENT
TIME: 3 hours



INSTRUCTIONS TO CANDIDATE

1. This paper has TWO sections: A and B.
2. Answer ALL questions in section A and THREE questions from section B.
3. You are provided with a separate answer booklet.
4. Marks for each question are as indicated.
5. Do not write on the question paper.


This paper consists of Four (4) printed pages with Fifthteen (15) questions.
Candidates should check the question paper to ascertain that all pages are
printed as indicated and that no questions are missing.
Turn Over



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, NIBS/RUIRU/EXAM/MOCK/F005
SECTION A: (40 MARKS)

Attempt ALL questions in this section.
1. Solve the following for the value of x:


2
log 2 10 x+¿ log 10 2 x +2 log 10 2 x=2 ¿ (4marks)
2. Solve the equation



| |
x 2 3
4 1 5 =28 (4marks)
6 0 x +1


[ ] [ ]
1 2 1 2 1 2
3. Given the matrices A= 3 2 1 and B= 2 −3 2 ,determine:
−1 −1 2 2 3 −2
(i) ( AB )−1
(4marks)

4. Solve the equation correct to 4 decimal places.

2 x+1 x+2
3 =7 . (4marks)

5. Solve the following equation:

log x 4+2 log 2 x=5 (4marks)
6. Find the value of x in the equation
2 3
+ =2 (4marks)
x+2 x +3

dy
7. Evaluate from the first principles.
dx

1
y= (4marks)
x2

8. Given the vectors: A=3i +2 k , B=4 i−2 j+3 k , C=3i+5 j−4 k ,Determine:

(i) |2 A +2 B−C|

(ii) Angle between A and B (4marks)
9. Evaluate correct to four significant figures:
1
log 9−log 3+ log 81
2 (4marks)
2 log 3

10.Solve the following equation

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