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COMSATS · Mathematics · 24 questions
Name: ____________________ Date: ____________
The derivative of x⁵ with respect to x is:
- A 5x⁶
- B x⁶ ÷ 6
- C x⁴
- D 5x⁴
The integral of 4x with respect to x is:
- A 4x² + c
- B 2x² + c
- C x² + c
- D 4 + c
The roots of x² − 3x − 10 = 0 are:
- A 3 and −10
- B −5 and 2
- C 5 and −2
- D 10 and −1
The value of sin² 30° + cos² 30° is:
- A 0
- B 3/4
- C 1
- D 1/2
The value of 5C2 is:
- A 20
- B 10
- C 25
- D 5
The sum of the integers from 1 to 10 is:
- A 55
- B 45
- C 50
- D 100
The value of log₂ 16 is:
- A 2
- B 8
- C 4
- D 16
The slope of the line through (0, 1) and (2, 5) is:
- A 4
- B 3
- C 1/2
- D 2
The determinant of the matrix with rows (4, 3) and (2, 1) is:
- A −10
- B 10
- C 2
- D −2
The value of i³ is:
- A i
- B −i
- C 1
- D −1
The solutions of 2x² − 8 = 0 are:
- A 8 and −8
- B 2 and −2
- C 2 only
- D 4 and −4
The distance between (−3, 0) and (0, 4) is:
- A 7
- B 5
- C 25
- D 1
The derivative of 3x² + 2x at x = 1 is:
- A 6
- B 5
- C 8
- D 3
The value of the integral of (2x + 1) from 0 to 1 is:
- A 1
- B 2
- C 3/2
- D 3
If 3x + 2y = 12 and x = 2, then y is:
- A 2
- B 3
- C 9
- D 6
The sum of the roots of x² − 6x + 8 = 0 is:
- A 6
- B 14
- C 8
- D −6
The value of sin 90° + cos 0° is:
- A 1
- B 2
- C 1/2
- D 0
The value of 6C2 is:
- A 30
- B 15
- C 36
- D 12
The 10th term of the arithmetic progression 4, 7, 10, … is:
- A 30
- B 34
- C 28
- D 31
The sum of the first 5 terms of the geometric progression 2, 4, 8, … is:
- A 62
- B 64
- C 30
- D 32
The slope of the line y = −2x + 5 is:
- A 5
- B 2
- C −5
- D −2
The value of log₁₀ 100 is:
- A 1
- B 10
- C 100
- D 2
The determinant of the matrix with rows (3, 2) and (1, 4) is:
- A 14
- B 12
- C −10
- D 10
The solutions of x² = 16 are:
- A 8 and −8
- B 4 only
- C 4 and −4
- D 16 and −16
Answer key
1. D, 2. B, 3. C, 4. C, 5. B, 6. A, 7. C, 8. D, 9. D, 10. B, 11. B, 12. B, 13. C, 14. B, 15. B, 16. A, 17. B, 18. B, 19. D, 20. A, 21. D, 22. D, 23. D, 24. C
The power rule gives 5x⁴.
The power rule gives 2x².
The equation factors as (x − 5)(x + 2).
The identity sin²θ + cos²θ = 1 holds for every angle.
5C2 = (5 × 4) ÷ 2 = 10.
The sum is 10 × 11 ÷ 2 = 55.
2⁴ = 16.
Slope = (5 − 1) ÷ (2 − 0) = 2.
The determinant is 4 × 1 − 3 × 2 = −2.
i³ = i² × i = −i.
x² = 4, so x = 2 or x = −2.
The distance is √(9 + 16) = 5.
The derivative is 6x + 2, which is 8 at x = 1.
The antiderivative is x² + x, which is 2 at x = 1.
Put x = 2 to get 2y = 6, so y = 3.
The sum of the roots is −b ÷ a = 6, and the roots are 2 and 4.
Both values are 1.
6C2 = (6 × 5) ÷ 2 = 15.
a + 9d = 4 + 27 = 31.
The sum is 2 × (2⁵ − 1) ÷ (2 − 1) = 62.
In y = mx + c the slope is m.
10² = 100.
The determinant is 3 × 4 − 2 × 1 = 10.
Both 4 and −4 give 16 when squared.