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PES SS 2 Mathematics Objective 3rd Term Exam 2025/2026
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  • 1. A board marker cost #150. A buyer enjoys the discount of 30%, what is the real selling price of the board marker
A) #45
B) #195
C) #105
D) #150
  • 2. Solve 3x - 4 > 8
A) x > 4
B) x < 4
C) x < -4
D) x > -4
  • 3. Solve the inequality y² - 3y > 18
A) y < -3
B) y < 3
C) y > -3
D) y > 3
  • 4. The Shadow of a flagpole 25m long is 18m. Which is the angle of elevation of the top of the flagpole from the shadow, correct to 1 d.p
A) 5420
B) 54.2
C) 542
D) 5.42
  • 5. A man 1.5m tall observes a bird at the top of a tree 4.5m high. If bird is 8m away from the man and the base of the tree, find the angle of elevation.
A) 552.96⁰
B) 5529.6⁰
C) 55.296⁰
D) 5.5296⁰
  • 6. From the top of the building 10m high, the angle of depression of a stone lying on a horizontal ground 69⁰. Calculate correct to 1d.p the distance of the stone from the foot of the building.
A) 3.8m
B) 0.38m
C) 380m
D) 38m
  • 7. Find the angular distance between X(60⁰N, 20⁰W) and Y (40⁰N, 20⁰W)
A) 40⁰
B) 60⁰
C) 80⁰
D) 20⁰
  • 8. 7/2 + 4/5
A) None
B) 0.043
C) 4.3
D) 0.43
  • 9. Calculate the mean 1,0,1,2,3,2,0,2,3,2
A) 1.6
B) 1.4
C) 1.2
D) 1.8
  • 10. Find the probability that a number is selected at random from 41-56 is a multiple of 9
A) 0/8
B) 1/8
C) 2/8
D) 2/9
  • 11. What is the coefficient of x in (3x + 2)(5x - 8)
A) -14
B) -16
C) 15
D) 14
  • 12. Factorise (25y² - 4)
A) (5y - 2)(5y - 2)
B) (5y + 2)(5y)
C) (5y + 2)(5y + 2)
D) (5y + 2)(5y - 2)
  • 13. Solve for x in the equation 5(x - 7) - 7x= 3(4x - 5)
A) -14.286
B) -1.4286
C) 14.286
D) 1.4286
  • 14. Round off 23.456 to 2 s.f
A) 23.4
B) 23.45
C) 23.0
D) 23.456
  • 15. 1 rope 4.85m long was measured by a boy as 4.95m, what is the percentage error
A) 2.0%
B) 2.07%
C) 2.0618%
D) 2.061%
  • 16. A car cost 300 000, It depreciates by 25% in the first year and 20% in the second year. Find the value of the car after 2 years.
A) 75,000
B) 390,000
C) 15,000
D) 210,000
  • 17. Find the angular distance between A(40⁰N, 65⁰E) and B(35⁰S, 65⁰E)
A) 75⁰
B) 40⁰
C) 15⁰
D) 35⁰
  • 18. Calculate the mean 7,8,9,5,4,3,4,3.
A) 5.37
B) 5
C) 5.375
D) 0.5
  • 19. The average weight of 5 girls in kg are 48x, 52, 50 and 2x - 5, if the average is 47kg, find the height of the girls that have the heaviest weight
A) 30
B) 90
C) 45
D) 15
  • 20. Bello chooses from 1 - 10, what is the probability that it is either odd or prime number.
A) 4/5
B) 2/5
C) 1/5
D) 3/5
  • 21. If x is -2, find 2x² - 5x - 4
A) 12
B) 14
C) -12
D) -14
  • 22. If x is 0, find 2x² - 5x - 4
A) -3
B) 4
C) 3
D) -4
  • 23. If point A is 20m away from the foot of an electric pole of height 15m, calculate the angle of elevation of the top of the pole from point A
A) 3.687⁰
B) 36.87⁰
C) None of the above
D) 0.36⁰
  • 24. Three quarter of a number added to two and a half of that number gives 13, find the number.
A) 4
B) -4
C) 3
D) 6
  • 25. Calculate the mean of 1.5,1.7,1.9,1.2,1.3,1.4,1.5
A) 1.5
B) 1.49
C) 1.3
D) 1.51
  • 26. The angle of a triangle are in ratio 2:3:4, find the largest angles
A) 140⁰
B) 80⁰
C) 40⁰
D) 60⁰
  • 27. Find the area of a triangle with base 10cm and height 6cm
A) 15cm²
B) 12cm²
C) 30cm²
D) 60cm²
  • 28. x - 1/2= 3/4
A) 5/4
B) 1.15
C) 5.4
D) 1.5
  • 29. Solve the equations x + 2y= 5 and x + 3y= 8
A) x= 1 and y= -3
B) x= -1 and y= -3
C) x=1 and y= 3
D) x= -1 and y=3
  • 30. Solve d² + 10 - 24= 0
A) d= -12 or 2
B) d=12 or -2
C) d=-12 or --2
D) d=12 or 2
  • 31. What must be added to expression v² - 18v to make it a perfect square
A) 81
B) 4
C) 49
D) 9
  • 32. Simplify log 4 + log 8
A) 4
B) None
C) log12
D) 4log2
  • 33. Solve 11101two + 11011two
A) 1000001two
B) 111111two
C) 111001two
D) 111000two
  • 34. A fair die is rolled once. What is the probability of obtaining either a 2 or a 5
A) 3/6
B) 1/6
C) 2/6
D) 1/5
  • 35. A bad contains 3 red, 2 blue and 5 green marbles. One marble is drawn from the bag at random. What is the probability that it is neither red nor green.
A) 2/10
B) 4/10
C) 3/10
D) 1/10
  • 36. Two fair die are tossed together once. What is the probability of getting a total of at most 7 from the outcomes.
A) 5/12
B) 21/35
C) 7/12
D) 4/5
  • 37. The sum of six angles of an eleven sided polygon is 1000⁰. The other five angles are equal . Find the size of each of the equal angles
A) 74⁰
B) 132⁰
C) 124⁰
D) 128⁰
  • 38. A regular polygon has 15 sides. Find the size of each of the exterior angle
A) 24⁰
B) 32⁰
C) 28⁰
D) 20⁰
  • 39. A regular polygon of n sides has each exterior angle equal to 45⁰. Find the value of n
A) 6
B) 2
C) 8
D) 4
  • 40. What are the number of sides in a decagon?
A) 9
B) 8
C) 10
D) 7
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