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PES SS 1 Further Mathematics Objective 3rd Term Exam 2025/2026
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  • 1. (a²)³
A) 5a²
B) a-⁶
C) a⁵
D) a⁶
  • 2. Solve a-²
A) 2a
B) 1/a
C) 1/a²
D) 2/a
  • 3. -2⁰
A) 1
B) 0
C) -1
D) 2
  • 4. A sequence in which each term after the first is obtained by multiplying the preceding term by a constant number is
A) Geometric Progression
B) Infinity Progression
C) Arithmetic Progression
D) None of the above
  • 5. A well defined collection of distinct object called elements is
A) Roots
B) Sets
C) Roster
D) Subset
  • 6. Which of the following set contains no elements
A) Null set
B) Equivalent set
C) Finite set
D) Equal sets
  • 7. The sets of all object under discussion is referred as
A) Total set
B) Element set
C) Universal set
D) Overall set
  • 8. Given that U={a,b,c,d,e,f} and X={a,b,c,d} and Y={c,d,e} and Z={b,d,f}. Find X U Y
A) {a,b,c,d,e}
B) {a,b,d,e}
C) {a,b,c,d}
D) {c,d,e}
  • 9. Given that U={a,b,c,d,e,f} and X={a,b,c,d} and Y={c,d,e} and Z={b,d,f}. Find X U Z
A) {a,b,c,d}
B) {a,b,f}
C) {a,c,d,f}
D) {a,b,c,d,f}
  • 10. Given that U={a,b,c,d,e,f} and X={a,b,c,d} and Y={c,d,e} and Z={b,d,f}. X n Y
A) {c,d,e}
B) {c}
C) {c,e}
D) {c,d}
  • 11. Given that U={a,b,c,d,e,f} and X={a,b,c,d} and Y={c,d,e} and Z={b,d,f}. Find U n Y
A) {c,d,e,f,}
B) {c,d,e}
C) {c,b,e}
D) {b,c,d,e,f}
  • 12. A group of numbers are written in ascending order of magnitude as(x-2), 8, (5+x),12,(x+4), find the range of the numbers
A) 10
B) 14
C) 16
D) 12
  • 13. Find the mean of 2,4,6,5,3
A) 3
B) 4
C) 2
D) 5
  • 14. If Q3=9 and Q1=3, what is the semi inter quartile range
A) 3
B) 2
C) 6
D) 4
  • 15. Find the mean of 14,15,15,16,17 and 19
A) 15.8
B) 15
C) 16.2
D) 16
  • 16. The degree to which data are scattered about its average value is referred to as
A) Measures of Range
B) None of the above
C) Measures of Central Tendency
D) Measures of Dispersion
  • 17. The ages of 10 students in a class are: 15,16,15.5,17,14.9,14.5,14.1,15.1,15.2 and 14, find the mean
A) 2.9
B) 2.7
C) 2.93
D) 2.85
  • 18. The division of the cumulative frequency into four portions is
A) Semi Quartile
B) Quartile
C) All of the above
D) Quarters
  • 19. The type of Set that contains the exact same element is
A) None of the above
B) All of the above
C) Equal set
D) Equivalent set
  • 20. Simplify √75
A) 3√5
B) √5 × √3
C) 25√3
D) 5√3
  • 21. Simplify √45
A) 3√5
B) 5√9
C) 9√5
D) √3
  • 22. √112 - √28
A) 2√7
B) 5√3
C) 3√5
D) 7√2
  • 23. Simplify √162
A) 18√3
B) 3√18
C) 9√18
D) None
  • 24. Simplify √80
A) 6√4
B) 3√2
C) 4√5
D) 5√4
  • 25. Simplify P⁵ ÷ P
A) P-⁴
B) P⁴
C) P³
D) P⁶
  • 26. Simplify 1/√5
A) √1/5
B) √5/5
C) √5/1
D) √5
  • 27. Find the 15th term of the sequence:5,8,11,14
A) 42
B) 45
C) 47
D) None
  • 28. Find the sum of the first 10 terms of the sequence :25,8,11.....
A) 150
B) 135
C) 155
D) 145
  • 29. The Upper quartile is referred to as;
A) 1/4 of the cumulative frequency
B) 3/4 of the cumulative frequency
C) 2/4 of the cumulative frequency
D) None of the above
  • 30. If x²=50, find x
A) 7.07
B) 7.2
C) 7.02
D) 7.21
  • 31. If √2x²=10, find x
A) 7.27
B) 7.07
C) 7.05
D) 7
  • 32. If Variance=2.25, Find the Standard deviation
A) 1.2
B) 1.25
C) 1.55
D) 1.5
  • 33. √50 - √18 + √32
A) 3√2
B) 6√2
C) 2√3
D) 2√6
  • 34. Simplify ³√8
A) 4
B) 1
C) 2
D) 3
  • 35. Solve 5³ + 5⁴
A) 78124
B) 78122
C) 78125
D) 78120
  • 36. Solve ²√100³
A) 10
B) 10000
C) 100
D) 1000
  • 37. The lower class boundary of the modal class is denoted as
A) L1
B) ∆1
C) ∆2
D) L2
  • 38. The type of Set that contains same numbers if element is
A) Equivalent set
B) All of the above
C) Overall set
D) Equal set
  • 39. Elements listed one by one, enclosed in curly brackets is
A) None of the above
B) Roster listing method
C) Set builder notation
D) All of the above
  • 40. The symbol C under sets is denoted as
A) Element of
B) None of the above
C) Subset
D) Non Subset
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