- 1. 1. Evaluate √94100 x 38.2/5.683 x 8.14 using logarithm table
A) 78.94
B) 7.859
C) 7.894
D) 78.59
- 2. 2. Evaluate 3.554 using logarithm table
A) 1.588
B) 15.88
C) 158.8
D) 1588
- 3. 3. Evaluate 4√0.0007 using logarithm table
A) -1.2113
B) 1.2113
C) 0.1627
D) -0.1627
- 4. 4. Choose the correct answer to the above question
A) 1
B) 2
C) 2/3
D) 3/2
- 5. 5. Simplify log 45 + log 9-1 - 1og 2-1(all log in base 10)
A) 1/2
B) 1
C) 1/4
D) 2
- 6. 6.Round off 2 748 924 000 to the nearest billion
A) 2 800 000 000
B) 2 749 000 0000
C) 2 700 000 000
D) 3 000 000 000
- 7. 7. A square is 5cm by 5cm. A student measures a side of the square as 4.9cm. She uses her measurement to calculate the area of the square. Find the percentage error in: a. the length of the side, b. the area of the length
A) a. ± 2% , b. ± 3.96%
B) a. ± 2% , b. ± 25%
C) a. ± 0.1% , b. ± 0.99%
D) a. ± 0.1% , b. ± 25%
- 8. 8. Solve the equations ½ x + ⅓ y = 4, ¼ y - ⅓ x = ⅙
A) x = 8, y = -3
B) x = -4 , y = -6
C) x = - 8, y = 3
D) x = 4, y = 6
- 9. 9. Find x and y if 32x - y = 1 and 16x/4 = 83x - y
A) x = -2, y = 6
B) x = 2, y = 4
C) x = 5, y = 4
D) x = -4, y = 11
- 10. 10. The perimeter of the isosceles triangle in the figure above is 28cm. Find x and y
A) x = 3 , y = 5/2
B) x = 5/2 , y = -3
C) x = -60 , y = 45
D) x = 60 , y = 45
- 11. 11. Simplify x2 - y2/ 3x + 3y
A) x - y/9
B) x2 - y2/9xy
C) x - y/3
D) xy(x - y)/3(x +y)
- 12. 12. If p = 2u/1- u and q = 1+ u/1- u, express p + q/p - q in terms of u
A) u - 1/1 - u
B) 3u + 1/u - 1
C) 3u + 1/1 - u
D) 2u/1 - u
- 13. 13. Find the value of x for which the fraction x +1/2x -1 is undefined.
A) x = 0/2x -1
B) x = 0
C) x = 1/2
D) x = -1/2
- 14. 14. For what value (s) of x is the expression x +3/x2 + 10x - 25 equals zero?
A) x = 5/2
B) x = - 3
C) x = -1/2
D) x = 3
- 15. 15. A seller allows 20% discount for cash payment on the marked price of his goods. What is the ratio of the cash payment to the marked price?
A) 4:5
B) 1:5
C) 1:4
D) 3:4
- 16. 16. Islamiyyah sold an article for # 1, 755.00 and made a profit of 35%. Find the cost price.
A) # 1, 300.00
B) # 2, 369.25
C) # 614.25
D) # 2, 370.00
- 17. 17. Find the compound interest on #400 for 2 years at 8% per annum.
A) #34.56
B) #32.00
C) #66.56
D) #466.56
A) 5√2
B) 2√10
C) 10√5
D) 2√5
- 19. 19. By rationalizing the denominator, Simplify: 7√5/√7
A) √7
B) 7√35
C) 35√7
D) √35
- 20. 20. Simplify 1 + √3/2 - √3
A) 5 + 3√3
B) 3√3
C) 8√3
D) 5 + 3√3/2
- 21. 21. Solve the equations x - y = 2 and x2 + y2 = 52
A) (-4, -6) and (-8, -4) in (x, y) format
B) (-2, -6) and (1, 4) in (x, y) format
C) (-4, 6) and (8, -4) in (x, y) format
D) (-4, -6) and (8, 4) in (x, y) format
- 22. 22. Solve the equation 3x2 = 27x/9
A) -1,-2
B) -1,2
C) 1,2
D) 1,-2
- 23. 23. Evaluate 12ab - 4b2/ 2b2 - 6ab
A) 2
B) -1
C) -2
D) 1
- 24. 24. Express x+1/2 - 3x - 1 /3 as a single fraction
A) 1 - 3x/6
B) 5 - 3x /6
C) 3x -5/6
D) 3x-1/6
- 25. 25. For what value(s) of x is the expression x2 - 2x -15/x2 -25 equals zero?
A) 1
B) 3
C) -1
D) -3
- 26. 26. What must be added to each term of the ratio 11:15, so that it becomes the ratio 4:8?
A) 4
B) 8
C) 7
D) -7
- 27. 27.The ratio of Bimbo's age to her mother is 5:7. What is Bimbo's age of her mother is 63 years old?
A) 12 years
B) 35 years
C) 52 years
D) 45 years
- 28. 28. A man bought a certain number of articles, of which 10 cost #15.00 and sold them at #19.50 per dozen. Find the percentage gain or loss.
A) 7.7%
B) 23.1%
C) 8.3%
D) 92.9%
- 29. 29. By selling a book at a loss of 19%, a man lost#11.40. Find the actual price paid for the book.
A) #24.00
B) #20.63
C) #13.57
D) #60.00
- 30. 30. The sum of two numbers is 31 while their positive difference is 13. Find their product.
A) 198
B) 286
C) 99
D) 117
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