PES SS 2 Further Mathematics Objective 3rd Term Exam 2025/2026
  • 1. How many ways can 3 students be chosen from 8 students
A) 56
B) 98
C) 35
D) 336
  • 2. In how many way can be letter A,B,C,D be arranged as
A) 96
B) 48
C) 12
D) 24
  • 3. According to the Pascal's triangle, what are the coefficient of this binomial (x + a)¹
A) None
B) 1 2 1
C) 1 1 1
D) 1 1
  • 4. Solve 3!(8 - 3)!
A) 600
B) 720
C) 120
D) 480
  • 5. What does the sign ! represent
A) All of the above
B) Permutation
C) Combination
D) Factorial
  • 6. Solve (7 - 3)!
A) 12
B) 24.2
C) 20
D) 24
  • 7. Find the exact value of (1.02)²
A) 1.0403
B) 1.0401
C) 1.038
D) 1.0404
  • 8. What are the coefficient of the binomial (x + y)³
A) 1 1 3 1
B) 0 3 3 1
C) 1 3 3 0
D) 1 3 3 1
  • 9. Points that lie on the same straight line with the same gradient are
A) All of the above
B) Gradient points
C) None of the above
D) Co linear points
  • 10. A branch of mathematics that deals with the rates of change and slopes of curves is
A) Differential calculus
B) None of the above
C) Differentiation
D) Derivation
  • 11. In how many ways can the letters of the word computer be arranged
A) None
B) 40310
C) 40320
D) 40000
  • 12. What is the coefficient of the binomial (x + a)⁴
A) 1 4 6 4 1
B) 1 4 6 6 1
C) 1 6 4 6 1
D) 1 6 4 4 1
  • 13. The exact value of (1.02)⁵ is
A) 1.02
B) 1.1
C) 1.1040
D) 1.004
  • 14. What is the sign n denoted as
A) Total number of items
B) All of the above
C) Number selected
D) None of the above
  • 15. In how many way can the vowels in the word COMPUTER be arranged
A) 2
B) 8
C) 3
D) 6
  • 16. Which of the following is correct from the following binomial (3x - 2)⁵
A) [3x + (-2)]⁵
B) [3x - (-2)]⁵
C) [3x - (+2)]⁵
D) None of the above
  • 17. In Combination, the symbol r is denoted as
A) Number selected
B) Total number of items
C) All of the above
D) None of the above
  • 18. A basket has 8 fruits, how many ways can you pick 3 fruits
A) 58 ways
B) 56 ways
C) 57 ways
D) 64 ways
  • 19. In how many ways can 4 people seated around a round table
A) None
B) 6 ways
C) 2 ways
D) 3 ways
  • 20. Differentiate y=5x³
A) 15x
B) 15x³
C) 15x²
D) 15
  • 21. Differentiate y=√x
A) 1/2
B) 1/2x
C) 1/2√x
D) 1/x
  • 22. Differentiate f(x)=-4x-²
A) 8
B) 8x-²
C) 8x
D) 8x-³
  • 23. Differentiate y=7x⁵
A) 35
B) 35x⁴
C) 35x³
D) 35x
  • 24. Differentiate y=9x²
A) 18
B) 18x⁰
C) 18x²
D) 18x
  • 25. Differentiate f(x)=x⁷
A) 7x³
B) 7x⁴
C) 7x
D) 7x⁶
  • 26. Differentiate y=x(x + 2)
A) 2x
B) 2x + 2
C) 2x + 1
D) 2x + 4
  • 27. Differentiate y=(2x)( x²)
A) 6x³
B) 6x²
C) 6
D) 6x⁰
  • 28. You have 5 shirts and 4 trousers, how many outfit can you make
A) 25
B) 9
C) 20
D) 16
  • 29. How many ways can you arrange the letters in the word "CAT"
A) 9
B) 6
C) 1
D) 3
  • 30. How many ways can you choose 3 fruits from a basket of 7 fruits
A) 21
B) 28
C) 35
D) 42
  • 31. How many 2 letter codes can be made from the letter A,B,C,D if not letter repeats
A) 12
B) 4
C) 16
D) 8
  • 32. What is the coefficient of x³ in (x + 2)⁴
A) 32
B) 4
C) 16
D) 8
  • 33. How many terms are in the expansion(a + b)⁵
A) 6
B) 3
C) 2
D) 9
  • 34. In permutation, does order matter?
A) Never
B) Sometimes
C) Yes
D) No
  • 35. In combination, does order matter?
A) Never
B) No
C) Neither
D) Yes
  • 36. Choosing a president, vice-president and secretary from 10 people is an example of:
A) Both
B) Combination
C) Neither
D) Permutation
  • 37. Selecting 3 players from a team of 11 for a group photo is an example of:
A) Combination
B) Never
C) Permutation
D) Both
  • 38. Arranging 5 books on a shelf is:
A) Both
B) Never
C) Permutation
D) Combination
  • 39. Picking 2 fruits from a basket of 8 fruits is:
A) Never
B) Both
C) Permutation
D) Combination
  • 40. ⁵C1 is equal to
A) 1
B) 10
C) 15
D) 5
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