Set 1: MATHEMATICS (75 - minutes)

---

1) If ?75.00 is shared among three children in the ratio of 3:7:15. The size of the smaller share is

a) ?9.00 b) ?15.00 c) ?25.00 d) ?35.00

2) Of the 50 students enrolled in the subject – Trigonometry, 90% took the final examination at the end of the term. Two-thirds of those who took the final exam passed. How many students passed the exam?

a) 33 b) 45 c) 34 d) 30

3) A container contains 40 liters of a wine which is 80% alcohol by volume. How much of the mixture should be removed and replace by an equal volume of water so that the resulting solution will be 70% alcohol by volume.

a) 5 liters b) 10 liters c) 15 liters d) 20 liters

4) Concerned with the calculation of instantaneous rates of change and the summation of infinitely many small factors to determine some whole.

a) Calculus b) Differential Calculus c) Integral Caculus d) Infinitesimal

5) How much should a man deposit in a bank at 6% simple interest rate if he wants to earn ?1,200 a year?

a) ?10,000 b) ?30,000 c) ?15,000 d) ?20,000

6) A solid with six faces, with the faces being equal squares and the edges being equal.

a) cube b) polyhedron c) parallelepiped d) square

7) What is the square root of 400?

a) 40 b) 20 c) 8 d) 4

8) List the fractions 1/9, 2/15 and 3/15 from LEAST to GREATEST.

a) 3/21, 1/9, 2/15 b) 1/9, 3/21, 2/15 c) 1/9, 2/15, 3/21 d) 2/15, 3/21, 1/9

9) A bag of 6 black, 7 white and 8 green balls. In how many ways can we select groups of balls where each group consists of 4 balls of each color?

a) 36750 b) 50 c) 525 d) 120

10) Four people can finish painting a room within 4 hours. If only 2 people are available, how many hours do they have to work to finish the same job?

a) 4 b) 6 c) 8 d) 10

11) Base of a sexagesimal number system.

a) 6 b) 60 c) 12 d) 10

12) What day follows the day before yesterday if 2 days from now will be Sunday?

a) Tuesday b) Saturday c) Wednesday d) Thursday

13) Why is 1/5 called a unit fraction?

a) Then number 5 is the denominator. b) The unit is less than one. c) Unit fractions have 1 as the numerator. d) It is between 0 and 1, the basic unit.

14) What Austrian-born mathematician demonstrated that there can be no proof of the consistency of a formal mathematical system from within that system?

a) Anton Zeilinger b) Ludwig Eduard Boltzmann c) Kurt Godel d) Wolfgang Ernst Pauli

15) The thousandths digit of the number 1,234.5678 is ________.

a) 1 b) 7 c) 8 d) 5

16) Which of the following is a vampire number?

a) 1260 b) 1001 c) 2060 d) 1031

17) A typist can finish 4 pages in 6 minutes. How long will it take for him to finish 10 pages?

a) 20 minutes b) 15 minutes c) 10 minutes d) 8 minutes

18) Which of the following is the factorization of the binomial x² - 42?

a) (x + 4)(x + 2) b) (x – 4)² c) x(x + 2x + 2) d) (x – 4)(x + 4)

19) A circle is tangent to two perpendicular lines. A smaller circle is drawn inside such that is tangent to the lines and the bigger circle. What is the area of the smaller circle if the bigger circle has an area of 50.4 sq cm? CE board-Math

a) 1.378 sq cm b) 1.478 sq cm c) 2.478 sq cm d) 2.678 sq cm

20) Find the final amount due in investing ?50,000 at a simple interest rate of 14.5% for 18 months.

a) ?60,875 b) ?50,875 c) ?60,900 d) ?50,900

21) A movie ticket costs ?500 during a premiere night, and ?320 during the regular show. What is the percentage decrease in the price of the ticket?

a) 30% b) 36% c) 24% d) 28%

22) What value of x will satisfy the equation 5x + 7 = 3x – 9?

a) x = -6 b) x = +8 c) x = 10 d) x = -8

23) Which are the next three terms in the progression 1, 4, 16 . . . 8 terms?

a) 64, 256, 1024 b) 67, 259, 1027 c) 66, 258, 1026 d) 65, 257, 1025

24) At what time on 3 o'clock such that after one to two hours the position of the hands of the clock were interchanged?

a) 3:24.43 b) 3:25.43 c) 3:26.43 d) 3:27.43

25) Refers to the number of times a number is multiplied by itself

a) Multiplicative inverse b) Multiplication c) exponent d) Multiplier

26) Nelia takes ¾ hour to dress and get ready for school. It takes 4/5 hour to reach the school. If her class starts promptly at 8:00 am; what is the latest time she can jump out of bed in order not to be late for school?

a) 6:42 am b) 6:27 am c) 6:57 am d) 7:02 am

27) Which ancient book contains 64 Hexagrams?

a) The book of changes b) The book of Hexagrams c) The book of 64 d) The book of coming

28) List the fractions 1/9, 2/15 and 3/15 from LEAST to GREATEST.

a) 3/21, 1/9, 2/15 b) 1/9, 3/21, 2/15 c) 1/9, 2/15, 3/21 d) 2/15, 3/21, 1/9

29) Which field of mathematics was developed first?

a) algebra b) probability theory c) analytic geometry d) deductive logic

30) If (x-2)² = 49, then x could be _______.

a) -9 b) 9 c) 7 d) -7

31) Julius has ?15,000 in the bank. After a year, he expects it to earn ?750. What is the rate of interest?

a) 2% b) 4% c) 5% d) 6%

32) An angle with a measure less than 90^o

a) acute angle b) Obtuse angle c) Isosceles Angle d) Scalene angle

33) Four mangoes cost P29.00. At that price what will 2½ dozen mangoes cost?

a) ?217.50 b) ?188.50 c) ?348.50 d) ?870.00

34) At what rate of interest should ?2,400 be invested so that it will earn ?80 in 8 months?

a) 6.5% b) 5.5% c) 5% d) 6%

35) A polygon with 1 million sides

a) gogoogon b) megatron c) megagon d) metagon

36) What's a polygon with four unequal sides called?

a) trapezium b) unequal parallelogram c) A kite d) A quadrilateral

37) Which is proportion?

a) 5:4 = 15:12 b) 8:3 = 16:9 c) 4:5 = 12:10 d) ½:7 = 5:2

38) Peter borrowed 15,000 from the bank at the rate of 12% per year. How much will he owe the bank after 1.5 years?

a) P16,000 b) P17,000 c) P17,700 d) P16,700

39) Which of the following illustrates the procedure and correct answer of multiplying 2 1/2 X 3 2/3?

a) 3/5 X 6/3 = 9/5 X 30/5 = 270/5 = 54 b) 2/5 X 3/11 = 5/50 X 30/50 = 150/5 = 30 c) 5/2 X 11/3 = 55/6 = 9 1/6 d) 2/3 X 5/2 = 4/6 X 15/6 = 60/6 = 10

40) What concept was developed by ancient Hindu mathematicians?

a) Digits b) Number System c) zero d) Infinity

41) Six post office employees are working today. It takes one employee one minute to serve one person. How long would you have to wait in the line if you hold number 321?

a) 33 minutes b) a half an hour c) 20 minutes d) 45 minutes

42) To pass her English Test, Lucille must get 75% of the items correct. Out of 80 questions, how many must she correctly answer?

a) 55 b) 65 c) 60 d) 70

43) How many square inches are in 2 square yard?

a) 900 b) 144 c) 1296 d) 2,592

44) What is the angle between the hour and minute hands at 7:49?

a) 61.25 degrees b) 59.50 degrees c) 60 degrees d) 50.75 degrees

45) What is the area of the triangle with vertices (2, 3), (1, 1), (-2, -2)?

a) 5/9 sq units b) 4/9 sq units c) 3/9 sq units d) 2/9 sq units

46) 15 is 20% of what number?

a) 78 b) 75 c) 80 d) 70

47) If 30% of x is 30, what is 50% of x?

a) 30 b) 40 c) 50 d) 60

48) The legs of one right triangle are 9 and 12, while those of another right triangle are 12 and 16. How much longer is the perimeter of the larger triangle than the perimeter of the smaller triangle?

a) 84 b) 7 c) 12 d) 14

49) The number where Archimedes described it as greater than 3 10/71 and less than 3 10/70.

a) \(\pi\) b) \(\phi\) c) \(\tau\) d) \(\delta\)

50) The cross section of a pipe is bounded by two concentric circles such that the bigger one circumscribed a square of dimension 7.9 cm, while the smaller one is inscribed in it. What is the cross sectional area of the pipe? CE board - Math

a) 39.152 sq cm b) 49.152 sq cm c) 59.152 sq cm d) 69.152 sq cm

Submit Test