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Form 4 Mathematics Mid Term 1 Examination 2023

Class: Form 4

Subject: Mathematics

Level: High School

Exam Category: Form 4 Mid Term Exams

Document Type: Pdf

    

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Exam Summary


NAME…………………………………………………. CLASS……….. ADM NO……………………..
MATHEMATICS
FORM FOUR
MIDTERM ONE 2023
Time: 21/2 Hours

ANSWER ALL THE QUESTIONS IN THE SPACES PROVIDED
1. Use logarithms to evaluate 8.png
2 A sales man gets a commission of 2.5 % on sales upto sh. 100000. He gets an additional commission of 1.6 % on sales above this. Calculate the commission he gets on sales worth sh. 3200000 ( 3mks)

3. Make P the subject of the formula ( 3mks)
9.png
4. Solve the equation 6X2-13x+6=0 . Using the completing the square method. (2mks)

5. Brian and Bonface working together can do a piece of work in 6 days. Bonface working a lone would take 10 days to complete the work. They start working together but after 4 days Bonface leaves and the remaining work is done by Brian. Find how long Brian takes to complete the remaining work. ( 3mks)

6. Two variables M and N are such that M varies partly as N and Partly as the square root of N. given that N = 16 when M = 500 and N = 25 when M = 800. Find the equation connecting M and N ( 3mks)

7. Given log3 = 0.4771 and log 5 = 0.6990, find without using tables or a calculator:
log 0.045. (3mks)

8. A certain sum of money put to compound interest amounts to sh.5600 at the end of the first year. The interest added at the end of the second year is sh. 672 calculate the rate p.a and the sum invested. (3mks)

9. Using compass and ruler only construct a triangle Arc such that AB= 6cm ,BC = 5cm and angle
ABC = 67.5ᵒ measure the length of AC ( 4mks

10. Find the constant term in the expansion
11. A tuktuktaxi travelling at 20m/s accelerates uniformly and in 4 seconds, its velocity is 30m/s. it maintains this velocity for another 5 seconds before decelerating uniformly to rest after 3 seconds. calculate the total distance travelled by the tuktuk during the journey. (3mks)
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