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