REVIEW MATERIAL FOR NCAE
Mathematics
1. What is the mathematical equation that best represents this sentence “the sum of two
numbers is 54”
A. x+y+54
B. x-y=54
C. (x) (y)=27
D. x+2y=54
2. If F(x)=3x²-x-6 find f(2)
A. 4
B. 3
C. -2
D. 2
3. What is the slope of the equation 6x+2y=-10?
A. -5
B. -3
C. 4
D. 2
4. A farmer had 3 ¾ hectares of land planted by vegetables. Of this he sold 1 ½ hectares and
purchased two consisting of 2 ¼ and 1 ½ hectares respectively. How big is the property?
A. 5 9/10 h
B. 1 ½ h
C. 6
D. 7
5. Which expression is equivalent to (5x) (2x+y-9)?
A. 10x²+5xy-45x
B. 10x+5xy-45
C. 10x²+5x-45
D. 10x-5xy-45x
6. Each car has 4 wheels. There are 15 cars. How many wheels are there?
A. 19
B. 60
C. 70
D. none of the above
7. In which number do 9 have the greatest value?
A. 4 986
B. 9 071
C. 190 238
D. 200 192
8. The first nine prime numbers added together yields a total of ______.
A. 45
B. 78
C. 81
D. 100
9. When a, b, and c are all odd integers, which of these three statements is (are) true?
I. a + b +c is even
II. ab +c is even
III. abc + 1 is even
A. I only
B. I and II only
C. III only
D. II and III only
10. Which of the following numbers is divisible by 4?
A. 63 494
B. 59 034
C. 40 714
11. What is ½ of ¾ of 64?
A. 24
B. 32
C. 38
12. The number midway between 2/3 and 4/5.
A. 22/15
B. ¾
C. 3/5
D. 21 584
D. 48
D. 11/15
13. Three-fifths of the students in a class are girls. If 5 boys and 5 girls are added to class,
which statement is true of the class?
A. There are more girls than boys.
B. There are the same numbers of girls and boys.
C. There are more boys than girls.
D. all of these
14. What is the least common multiple of 4 and 14?
A. 28
B. 14
C. 10
D. 7
15. The greatest common factor of the numerals 16, 32 and 48 is _____
A.8
B. 16
C. 32
D. 48
16. A boy has an average of 83 in four subjects, what grade must he take in the fifth subject
so that his average will be 85?
A. 85
B. 87
C. 89
D. 91
17. ¾ + 8/3 +11/8 equals______
A. 22/55
B. 43/24
91/24
D. 115/24
18. In which list of fractions are of the fractions equivalent?
A. ¾, 6/8, 12/14
B. 3/5, 5/7, 9/14
C. 3/5, 6/10, 9/15
D. 5/10, 10/15, ½
19. A bulk of cloth was cut into pieces, each measuring 1 ½ meters. If the total length of the
bulk was 50 meters, how many pieces of specified measurement was it cut?
A. 33
B. 33 ½
C. 34
D. 34 ½
20. A sheet of paper is 0.015 mm thick. How high would a pile of 2500 sheets be?
A. 375mm
B. 37.5 mm
C. 3.75
D. 0.375
21. If 64 is divided into 3 parts according to the ratio of 2: 4: 6, the smallest part is __
A. 5 1/3
B. 10 2/3
C. 15 2/3
D. 17 ½
22. Find the length of a side of a square whose area is 225 sq. cm.
A. 15 cm
B. 56.25 cm
C. 112.5 cm
D. 450 cm
23. What is 64% of 13% of 200?
A. 10.4
B. 13.0
C. 15.6
D. 16.9
24. If twice the number is increased by 11, the result is 37.
A. 19
B. 20
C.18
D. 26
25. Mark invested P1 500.00 to start a small business on designing and printing business
cards. If his profit for 1 month is P600.00, at what rate did he profit?
A. 30%
B. 40%
C. 35%
D. 45%
26. A class is making small paper flags, each 10 ½ inches long, to be used during the
foundation day parade of the school. Approximately, how many flags can the class make out
of a 32 5/6 ft. long paper flag material?
A. 34 flags
B. 38 flags
C. 36 flags
D. 37 flags
27. If 14 students can do the project in 6 days, how many students can do it in 9 days?
A. 9 students
B. 10 students
C. 8 students
D. 7 students
28. What is the solution set if you add x+y=3 and x-y=5?
A. (3,1)
B.(4,-1)
C. (-1,4)
D. (1,3)
29. The price of the car was increased by 12% last year. What was the original price of the
car if the amount of increase is P114 000.00?
A. 13 680.00
B. 950 000.00
C. 850 000.00
D. none of the above
30. Jun and Kyle are computer technicians. They agreed to do a job for P12 000.00 and
will share the money in the ratio of 2:3 respectively. How much will each receive?
A. Jun is P4 800.00 and Kyle is P7 200.00.
B. Jun is P7 200.00 and Kyle is P4 800.00.
C. Jun is P6 000.00 and Kyle is P4 800.00.
D. none of the above