Free Printable MATHEMATICS

1.

Amanda wants to buy a graphing calculator that is already on sale for P4200.

The sale price is 30% below the original price. If she is able to get an additional

15% off for being a student, how much money was saved from the original price?

a)

A. P1,890.00

b)

B. P1,170.00

c)

C. P2,000.00

d)

D. P2,430.00

2.

Which of the following defines a one-to-one function?

a)

A. $f\left(x\right)\ =\ \frac{1}{2}x\ +3$

b)

B. $f\left(x\right)=3x^2-1$

c)

C. $f\left(x\right)=x^2+x+1$

d)

D. $f\left(x\right)\left|5\right|$

3.

An acute angle is formed by two lines of slope 1 and 7. What is the slope of

the line which bisects this angle?

a)

A. 3/2

b)

B. 2

c)

C. 3

d)

D. 4

4.

What was the Biblical approximation to ?

\pi

a)

(A) 3.14

b)

(B) 22/7

c)

(C) 3.1416

d)

(D) 3

5.

In the freshman class at Uno High School, there are 18 boys and 12 girls. The average height of the boys is 170 cm, and that of the girls is 160 cm. What is the average height of all the

students in the class?

a)

(A) 165 cm

b)

(B) 166 cm

c)

(C) 167 cm

d)

(D) 168 cm

6.

Which of the following statements are true?

I. A rectangle is a parallelogram.

II. A square is a rhombus

III. A square is a rectangle.

IV. A parallelogram is a rhombus.

a)

A. I and II only

b)

B. I and IV only

c)

C. I, II and III only

d)

D. I, II, III and IV

7.

Which of these numbers cannot be a probability?

a)

A. -0.00001

b)

B. 0.5

c)

C. 0

d)

D. 1

8.

What is the sum of the first 100 positive odd integers?

a)

(A) 25000

b)

(B) 50000

c)

d)

(D) 10000

9.

At a rally, protesters outnumbered the policemen by 12 to 1. Seventy-two arrests were made averaging 3 for every 2 policemen. How many protesters attended the rally?

a)

(A) 48

b)

(B) 144

c)

(C) 576

d)

(D) 720

10.

Fibonacci gave a famous problem about reproducing rabbits. After n months, there is a population of rn rabbits, where r0 = 1, r1 = 2 , r2 = 3 and so on. What was the rabbit population at n=12 months?

a)

(A) 55

b)

(B) 89

c)

(C) 144

d)

(D) 233

11.

For what value of x does

1+2 + 3 + 4 + 5… +x =171 ?

a)

(A) 17

b)

(B) 16

c)

(C) 18

d)

(D) 21

12.

Three circles of radii 10, 14 and 60 are tangent to each other such that the center of each circle is outside the two other circles. Find the number of square units in the area of the triangle whose vertices are the centers of the three circles?

a)

(A) 820

b)

(B) 840

c)

(C) 830

d)

(D) 850

13.

What is the measure of the obtuse angle formed by two intersecting angle bisectors of an equilateral triangle?

a)

(A) 150 degrees

b)

(B)110 degrees

c)

(C)120 degrees

d)

(D) 100 degrees

14.

We select 6 numbers at random, with replacement, from the set of integers from 1 to 300 inclusive. What is the probability that the product of the 6 numbers is even?

a)

(A) 21/32

b)

(B) 1

c)

(C) 61/64

d)

(D) 63/ 64

15.

A deep well 5 feet in diameter is of unknown depth (to the water level). If a 5-foot post is erected at the edge of the well, the line of sight from the top of the post to the edge of the water surface below will pass through a point 0.4 feet from the lip of the well below the post. What is the depth of the well (to the surface of the water)?

a)

(A) 37.5 ft

b)

(B) 47.5 ft

c)

(C) 57.5 ft

d)

(D) 67.5 ft

16.

Barb has two watches, one of which loses 6 seconds every 24 hours and the other gains 1 second per hour. He sets both of them to the correct time at 8:00 p.m. How many hours will pass before the positive difference in the time shown is 4 hours?

a)

(A) 11484

b)

(B) 11520

c)

(C) 11511

d)

(D) 11518

17.

Summa Cum Laundry Inc. now has 5000 customers. Its number of customers increases by 20 % each year. At the end of how many full years will its number of customers first exceed 10,000?

a)

(A) 4

b)

(B) 3

c)

(C) 5

d)

(D) 6

18.

On a number line, how many integers are no more than 8 units from 20 and also at least 10 units from 35?

a)

(A) 18

b)

(B) 12

c)

(C) 15

d)

(D) 14

19.

The lines y= ( k - 5 )x + 5 and y= - 2x + 7 are perpendicular if k=

a)

(A) 11/2

b)

(B) 5

c)

(C) -2/9

d)

(D) 9/2

20.

The graph of 16x - 2y = 48 intersects the y-axis at the point (a,b).What is the sum of a and b?

a)

(A) -4

b)

(B) -24

c)

(C) 32

d)

(D) 12

21.

If a regular polygon has 27 diagonals, how many sides does it have?

a)

(A) 12

b)

(B) 6

c)

(C) 9

d)

(D) 7

22.

Suppose x + y = 3, x² + y² = 13 . Find the value of xy .

a)

(A) 39

b)

(B) -6

c)

(C) 24

d)

(D) -2

23.

Suppose there are 12 points on a circle, equally spaced. Of all triangles having all their vertices at three of these 12 points, how many are of the type 30 60 90 ?

a)

(A) 24

b)

(B) 36

c)

(C) 72

d)

(D) none of these

24.

The lines y = 2x and 2y= -x are

a)

(A) parallel

b)

(B) perpendicular

c)

(C) horizontal

d)

(D) vertical

25.

The arithmetic mean of 14 numbers is what percent of the sum of the same 14 numbers? Express your answer as a decimal to the nearest hundredth.

a)

(A) 7.69%

b)

(B) 7.14%

c)

(C) 8.33%

d)

(D) 5.88%

26.

Given that 81^m= 3 and mⁿ = 64 . Find the value of mn.

a)

(A) -1/2

b)

(B) -1

c)

(C) -3/4

d)

(D) -¼

27.

What is the sum of all the elements of this finite arithmetic sequence

3, 6, 9, 12, 15, 18, ... , 42 ?

a)

(A) 314

b)

(B) 313

c)

(C) 318

d)

(D) 315

28.

The mean, median and mode for this set of data are all equal: { x, 68,30,58,52} . Find x .

a)

(A) 52

b)

(B) 68

c)

(C) 58

d)

(D) 30

29.

Use the following diagram to answer questions 29-34.

How many lines can be drawn through •A that are parallel to line m?

a)

A. 0

b)

B. 1

c)

C. 2

d)

D. Infinite

30.

How many lines can be drawn through •A that are perpendicular to

line l?

a)

A. 0

b)

B. 1

c)

C. 10,000

d)

D. Infinite

31.

Which lines are perpendicular?

a)

A. n, m

b)

B. o, l

c)

C. l, n

d)

D. m, l

32.

How many points do line m and line l share?

a)

A. 0

b)

B. 1

c)

C. 2

d)

D. Infinite

33.

Which set of lines are transversals?

a)

A. l, m, o

b)

B. o, m, n

c)

C. l, o, n

d)

D. l, m, n

34.

The triangle ABC that is provided has side lengths of a, b. and c feet and is not a right triangle. Let A’ be the image when the triangle is reflected across side BC. Which of the following is an expression for the perimeter, in feet, of quadrilateral A’BAC?

a)

A. 2 (a + b)

b)

B. 2 (b + c)

c)

C. a + b + 2c

d)

D. 2 ab

35.

If 60% of a number is 12, what is 165% of the same number?

a)

A. 30

b)

B. 31

c)

C. 32

d)

D. 33

36.

What would be the height of a trapezoidal building if, at its base, it measured 80 feet, its roofline measured 40 feet, and the surface area of one side was 7,200 ft2?

a)

A. 112 ft.

b)

B. 150 ft.

c)

C. 120 ft.

d)

D. 135 ft.

37.

The volume of a cylindrical aquarium tank is 13,565 cubic feet. If its radius is 12 feet, what is its height to the nearest foot?

a)

A. 73 feet.

b)

B. 27 feet.

c)

C. 42 feet.

d)

D. 30 feet.

38.

A cylinder has a surface area of 2,512 square feet. The height of the cylinder is three times the radius of the base of the cylinder. Find the radius and the height of the cylinder.

a)

A. r = 5 feet; h = 15 feet

b)

B. r = 10 feet; h = 30 feet

c)

C. r = 15 feet; h = 45 feet

d)

D. r = 20 feet; h = 60 feet

39.

The lines y = 2x and 2y = - x are

a)

A. parallel

b)

B. perpendicular

c)

C. horizontal

d)

D. vertical

40.

The inequality corresponding to the statement:

"the price is no less than 100 Dollars" is

a)

A. x < 100

b)

B. x ≥ 100

c)

C. x ≤ 100

d)

D. x > 100

41.

Which of these points DOES NOT lie on the graph of y = -x + 3?

a)

A. (9,- 6)

b)

B. (3,0)

c)

C. (-2,5)

d)

D. (2,2)

42.

Which of these relations DOES NOT represent a function?

a)

A. {(2,3),(-4,3),(7,3)}

b)

B. {(0,0),(-1,-1),(2,2)}

c)

C. {(2,3),(-5,3),(2,7)}

d)

D. {(-1,3),(-5,3),(-9,0)}

43.

Which property is used to write:3(x y) = (3 x)y?

a)

A. Commutative property of multiplication

b)

B. Multiplicative inverse property

c)

C. Distributive property

d)

D. Associative property of multiplication

44.

Which of these values of x satisfies the inequality -7x + 6 ≤ -8

a)

A. -2

b)

B. 0

c)

C. -7

d)

D. 2

45.

The equation |-2x - 5| - 3 = k has no solution if k =

a)

A. -5

b)

B. -3

c)

C. 7

d)

D. 0

46.

What is the slope of the line perpendicular to the line y = -5x +9?

a)

A. 5

b)

B. -5

c)

C. 1/5

d)

D. -⅕

47.

Which of the following cannot yield an odd integer when divided by 10?

a)

A. The sum of two odd integers.

b)

B. The product of two prime numbers.

c)

C. The product of two odd integers.

d)

D. The sum of three consecutive integers.

48.

Which choice below has the most points?

a)

A. a line

b)

B. a line segment

c)

C. a ray

d)

D. No determination can be made.

49.

Lines are always

a)

A. solid.

b)

B. finite.

c)

C. noncollinear.

d)

D. straight.

50.

Collinear points

a)

A. determine a plane.

b)

B. are circular

c)

C. are noncoplanar.

d)

D. are coplanar.

51.

The shortest distance between any two points is

a)

A. a plane.

b)

B. a line segment.

c)

C. a ray.

d)

D. an arch.

52.

A class contains 2 boys for every 1 girl. 75% of the boys have taken Algebra 2, whereas 50% of the girls have taken Algebra 2. What is the ratio of boys who have taken Algebra 2 to girls who have taken Algebra 2?

a)

A. 2 : 1

b)

B. 2 : 2

c)

C. 3 : 1

d)

D. 3 : 2

53.

A patient must take his medication every 7 hours starting at 7:00 A.M., Sunday. On what day will the patient first receive his medication at 6 P.M.?

a)

A. Monday

b)

B. Tuesday

c)

C. Wednesday

d)

D. Thursday

54.

What is the average of the solution set of the inequality |−2x + 4| < 6?

a)

A. -2

b)

B. -3

c)

C. 2

d)

D. 3

55.

Answer questions number 56 to 60 using the description below.

Ann, Bill, Carl, and Dan work in the same office building. Dan works in the basement while Ann, Bill, and Carl share an office on level X. At any given moment of the day, they are all typing at their desks. Bill likes a window seat; Ann likes to be near the bathroom; and Carl prefers a seat next to the door. Their three cubicles do not line up.

Level X can also be called

a)

A. Plane Ann, Bill, and Carl.

b)

B. Plane Ann and Bill.

c)

C. Plane Dan.

d)

D. Plane Carl, X, and Bill.

56.

Ann, Bill, Carl, and Dan work in the same office building. Dan works in the basement while Ann, Bill, and Carl share an office on level X. At any given moment of the day, they are all typing at their desks. Bill likes a window seat; Ann likes to be near the bathroom; and Carl prefers a seat next to the door. Their three cubicles do not line up.

If level X represents a plane, then level X has

a)

A. no points.

b)

B. only three points.

c)

C. a finite set of points.

d)

D. an infinite set of points extending infinitely.

57.

Ann, Bill, Carl, and Dan work in the same office building. Dan works in the basement while Ann, Bill, and Carl share an office on level X. At any given moment of the day, they are all typing at their desks. Bill likes a window seat; Ann likes to be near the bathroom; and Carl prefers a seat next to the door. Their three cubicles do not line up.

If Ann and Bill represent points, then Point Ann...

a)

A. has depth and length, but no width; and is non collinear with point Bill.

b)

B. has depth, but no length and width; and is non collinear with point Bill.

c)

C. has depth, but no length and width; and is collinear with point Bill.

d)

D. has no depth, length, and width; and is collinear with point Bill

58.

Ann, Bill, Carl, and Dan work in the same office building. Dan works in the basement while Ann, Bill, and Carl share an office on level X. At any given moment of the day, they are all typing at their desks. Bill likes a window seat; Ann likes to be near the bathroom; and Carl prefers a seat next to the door. Their three cubicles do not line up.

If Ann, Bill, and Carl represent points, then Points Ann, Bill, and Carl are

a)

A. collinear and noncoplanar.

b)

B. non collinear and coplanar.

c)

C. noncollinear and noncoplanar.

d)

D. collinear and coplanar.

59.

Ann, Bill, Carl, and Dan work in the same office building. Dan works in the basement while Ann, Bill, and Carl share an office on level X. At any given moment of the day, they are all typing at their desks. Bill likes a window seat; Ann likes to be near the bathroom; and Carl prefers a seat next to the door. Their three cubicles do not line up.

A line segment drawn between Carl and Dan is

a)

A. collinear and noncoplanar.

b)

B. noncollinear and coplanar.

c)

C. noncollinear and noncoplanar.

d)

D. collinear and coplanar.

60.

Which term of the arithmetic sequence 2, 5, 8... is equal to 227?

a)

A. 74th term

b)

B. 75th term

c)

C. 76th term

d)

D. 77th term

MATHEMATICS

Total questions: 60

Worksheet time: 30mins

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