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