NCAE Type Exam_2010-2011

A. NUMERICAL FACILITY 4. Divide 176 into three parts in the ratio 3: 5: 8. DIRECTIONS: This is a test to see how well and fast you can work with numbers. With some of the problems you may be able to find the correct answer mentally. Do this whenever you can. Record your answers from 1 to 25. BEGIN HERE: 16. 5  75  30  15  2(7) = A) 98 B) 126 2

17. Which is the value of 1.1. x 10 A) 0.0000011 B) 0.000011

C) 40 D) 28 6

A) 33: 55: 88 B) 20: 50:106

3

4 2 3 22. Which is the simplified form of  2 x y  ?  4 xy 5    2 2 4 x 4 A) C) y

y4

B) in decimal form? C) 0.00000011 D) 1.10000

16 y x

x 2

23. What is the value of

54 A) 9  6 B) 9 6

18. Simplify:

27  2 D) 3 6 C)

A) (x + 3)(x – 18) B) (x + 3)(x – 6)

6 5 5 B)  6 A) 

19. Which are the factors of the expression x( x + 3) – 18?

C) (x + 6)(x – 3) D) (x - 6)(x – 3)

20. Which expression should be added to 3 x 2  5 x  7 so that the sum will be 5x + 14? A) 3 x 2  7 C) 7  3 x 2 B) 3 x 2  21 D) 21  3x 2

B

A

x C A) 30° B) 80°

C) 60° D) 120°

D

D) 16 x 2 y4

xy  yz if x = 5, y – 6, and z = 9? x yz 6 C) 5 5 D) 6

24. Find the solution to the system of equations: 3x + 4y = 4 x -2y = 2 A)  8 ,  1  C)  3 ,  1  5 5 

5 5 

B)  8 ,  3 

D)   8 , 1 

5 5 

21. If ABC is an equilateral triangle and A, C, and D are collinear, find the value of x.

C) 26: 52: 98 D) 30: 60: 86

 5 5

25. How much is the 3% interest on P550, 000? A) P16, 500. 00 C) P165. 00 B) P1 650. 00 D) P16. 50

46.

3 feet

1 yard

47.

f(2) = 2x – 4x

48.

2:3:4

14 : 21 : 28

49.

1 x = 16 4

2 x = 16 3

39.

50.

3 2 5 2 6 2

5 2 3 8 3 2

40.

2

f(2) = 4 + 2x

3

38.

26. 27. 28. 29.

41. 42. 43.

30 31. 32.

44.

45.

33. 34.

35.

36.

37.

The bus has 50 passengers and there are 20 more men than women onboard. What is the ratio of the number of women to the number of men in the bus? A) 10: 40 C) 15: 35 B) 35: 15 D) 40: 10

LICEO DE CAGAYAN UNIVERSITY High School

CALCULUS (An NCAE Review Exam for Second Half-First Grading Period)

GENERAL DIRECTIONS: 1. Along with this test questionnaire is an Answer Sheet. Do not write anything on this questionnaire. 2. Use lead pencil in completing required information. 3. Keep your Answer Sheet clean and free from unnecessary marks. 4. Select your answer from the given choices marked A to D, and blacken the circle that corresponds to your answer in the appropriate item number on your Answer Sheet. 5. Work quietly and mind only your own work. Do not use cellphones or calculators. 6. Refrain from cheating. 7. Work fast enough so you will finish the test within a given time. If you finish the test ahead of time, review your answers.