Past Board Exam Questions for Math Teachers

8/11/2019 Past Board Exam Questions for Math Teachers

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Past Board Exam Questions for Math Teachers (LET)

1.Suppose that in a 100 points in statistics, you obtain a raw score of 60. Which of the followingis correct?

A. Your score is surpassed by 40% of all the examinees.B. Your score is higher than 80% of all of the scoresC. The percentile rank cannot be computed without additional informattion.

D. Your score is at the 60th percentile

2. From a bag containing 8 black balls and, 6 white balls, and 4 red balls, one ball is drawn at random.

What is the probability that the ball drawn is not red?

3. If the half life of a certain radioactive substance is 1690 years, what fraction of an original

amount of substance will remain after 6760 years.

A. 1/2B. 1/3C. 1/4

D. 1/5

4. To four decimal places, find

csc 172 deg.

5. If AB=36 and C is the midpoints of AB, what is the coordinate of point C if the coordinte of A is 5?

EF is the median of the trapezoid ABCD. If AD || BC, AD=5cm and EF=9cm. Find BC.

6. A man travels 7km due north,3km due east, 3km due south. How far is he from his starting point?

7. y varies partly as x and partly as a constant. If y = 2 when x = 1, y = 5 when x = 7, find y interms of the

constant if x is the cube of that constant.

8. The period of a pendulum varies directly as the square root of the

length of the pendulum. If a pendulum 2m long has a period of 1.5 seconds, find the period of the

pendulum 8m long?

9. Which of the following cannot describe just one triangle?

A. Acute and Scalene

B. Acute and Equilateral

C. Right and IsoscelesD. Right and Equilateral

10. Joel has twice as many marbles as Jason. After giving Jason 6 marbles, he still has 8 more marbles

than Jason, how many marbles had he at first?


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11. Which function DOES NOT intersect the x-axis ?

A. y= cot xB. y= sin x

C. y= sec x

D. y= tan x

12. Mary is 24 years old. Mary is twice as old as Ann was when Mary was as old as Ann is now. How old

is Ann?

13. Two similar triangles have areas k and 16k. What is the ratio of corresponding sides?

14. A point P(x,y) is on the line passing through A (-2, 5 ) and B (4, 1). Find the coordinates of Pif it is twice as far from A and B.

A. ( 10, 3 )

B. ( 10,-3 )C. ( -10,3 )D. (-10,-3 )

15. The distance between two cities on a road map is 11cm. Actually, the cities are 30%km apart.The distance btween two other cities is 15cm. How far apart are the cities?

A. 420 km

B. 3388 km

C. 4620 kmD. 312 km

16. What is the supplement of the complement of an angle of 38 deg. ?

17. If x


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20. A packet of 20 seeds contains 15 seeds that will germinate and five that won't, if there seedsare chosen at random. What is the probability that at least one will germinate?

A. 120/147

B. 110/151

C. 113/114D. 127/145

21. Factor completely :

4x^3 -12x^2 -x+3.

22. A coin is tossed and a dice is rolled, what is the probability that both head and a 6 appear?

23. Find the area of the triangle which the line 9x-3y= 36 forms with the coordinate axes?

24. How many circles of radius 5 cm can be cut from piece of cartolina

52 cm wide by 71 cm long?

25. What is the modulus of 5-3i ?

26. Find the equation of the line through (2,3) and the point common to x+y=1 and 2x+y=5.

27. Which statement is true?

A. Any two triangles are similar

B. Any two rectangles are similar

C. Any two squares are similarD. Any two rhombuses are similar

28. Why is 1/5 called a unit fraction?

A. The unit is less than one.

B. Unit fractions have 1 as the numerator.C. The number 5 is the denominator

D. It is between 0 and 1, the basic unit.

29. Find the coordinates of the point or points on the curve y=2x^2 which are closest to the point

(9,0).

A. (2,3)B. (-1,0)

C. (3,4)D. (1,2)

30. A certain supermarket repacks rice in a smaller bags from big sacks to about 50 kg. Whether they use

2kg or 3kg bags, they still have 1kg of rice left in the sack. How many kg of rice does a sack contain?


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31. Find the sum of the measure of the five angles at point of a star?

32. Find the compound interest of

Php. 10,000 for 20 years at 5% compounded monthly.

33. If a kerosene tank is 5/7 full. Mother used 3/5 of it and the remainder is 9 liters. How many litersdoes the tank contain?

34. The complete fertilizers 12-24 contain 12 percent nitrogen, 24 percent phosphorus and 12 percent

potassium. These add up to how many percent of plant nutrients?

35. What are the odds of getting two 5's in a single throw of a pair of dice?

36. In a plane through a point on a given line, there is ______ line perpendicular to the given line.

37. Evaluate: P (9,3)

38. The pitch of the roof is the ratio of its rise (height) to its span (width).What is the pitch of a roof thathas a height of 30 ft. and a width of 30 ft. and a width of 45 ft. ?

39. How much more is the square of positive integer than the square of the integer immediatelypreceding it

A. 2x +1B. x^2 + 1

C. (x+4)^2

D. 2x-1

40. The 1960 graduating class of a certain college was composed of 200 aged 21 and 109 aged22. According to the CSO table, approximately how many should be alive at the time for the50th reunion?

41. In a geometric progression18, -12, 8, which term is 512/729?

42. Each question in a multiple choice type of exam contains 4 possible answers. The professorgave a short exam of 10 questions. In order to pass the exam, a student must obtain a grade of

70% or higher. Find the probability of a student in passing the exam if he relies on guessing.


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Past Board Exam Questions for Math Teachers