Robin 4th Monthly Exam

Fourth Monthly Examinationin MATHEMATICS 7

Name: _________________________________________ Teacher: Sir Robin UberaGrade and Section: _______________________________ Date: _________________________

I. Read each question carefully. Write the letter of your answer on the space provided.

_____1. What do we call the statement which is accepted as true without proof? a. definition b. postulate c. theorem d. corollary

_____2. Which of the following is any statement that can be proved true? a. definition b. postulate c. theorem d. corollary

_____3. How many statements are there in a conditional form? a. 5 b. 4 c. 3 d. 2 _____4. What do we call the combination of conditional statement and its converse which are both true? a. hypothesis b. conclusion c. biconditional d. axiom _____5. What branch of mathematics deals with shapes that we see in the world each day? a. Calculus b. Algebra c. Geometry d. Statistics _____6. Who is the first to develop Geometry in ancient times? a. Democritus b. Aristotle c. Euclid d. Plato

_____7. In the given, If two angles are supplementary, then the sum of their measures is 180, the underlined statement is called _______________. a. hypothesis b. conclusionc. postulate d. theorem _____8. Which of the following is represented by a dot? a. line b. plane c. angle d. point _____9. What is the set of all points? a. space b. figure c. planed. line _____10. What do we call those lines with common point? a. collinear b. intersecting c. parallel d. concurrent

II. Read each description carefully then identify the term being described in each statement. Write the letter of your answer on the space provided.

_____11. It has no length, width, or thickness.a. pointb. linec. planed. angle

_____12. It is a slanted four-sided figure.a. pointb. linec. planed. angle

_____13. It is a straight mark with two arrow heads.a. pointb. linec. planed. angle

_____14. It is formed by two non collinear rays that have a common endpoint.a. pointb. linec. planed. angle

_____15. It has infinite length and width, but no thickness. a. pointb. linec. planed. angle

_____16. It has infinite length but has no width and thickness.a. pointb. linec. planed. angle

_____17. It has an endpoint called the vertex.a. pointb. linec. planed. angle

_____18. It has two capital letters with a double arrowhead above them.a. pointb. linec. planed. angle

_____19. It is represented by three non collinear points.a. pointb. linec. planed. angle

_____20. It is represented by a dot.a. pointb. linec. planed. angle

III. Classify the following angles as acute, right, obtuse or reflex. Write the letter of your answer on the space provided.

_____21. It is an angle whose measure is less than 90.a. acuteb. rightc. obtused. reflex

_____22. It is an angle whose measure is more than 90but less than 180.a. acuteb. rightc. obtused. reflex

_____23. It is an angle whose measure is exactly 90.a. acuteb. rightc. obtused. reflex

_____24. It is an angle whose measure is more than 180 but less than 360.a. acuteb. rightc. obtused. reflex

_____25. It can also be defined as an angle whose sides are perpendicular. a. acuteb. rightc. obtused. reflex

_____26. It is an angle whose measure is 45.a. acuteb. rightc. obtused. reflex



_____29. If two angles are measured by 45, what angle will be formed if they are combined?a. acuteb. rightc. obtused. reflex

_____30. What do we call the angle that measure 350?a. acuteb. rightc. obtused. reflex

IV. Identify the term defined in the following. Write the letter of your answer on the space provided.

_____31. What do we call the polygon with five sides?a. pentagonb. hexagonc. octagond. nonagon

_____32. A polygon with nine sides is called __________.a. pentagonb. hexagonc. octagond. nonagon

_____33. What do we call the polygon with six sides?a. pentagonb. hexagonc. octagond. nonagon

_____34. It is a polygon with eight sides.a. pentagonb. hexagonc. octagond. nonagon

_____35. What do we call the triangle whose sides are not equal?a. isoscelesb. equilateralc. scalened. right

_____36. It is a triangle with only two sides that are equal.a. isoscelesb. equilateralc. scalened. obtuse

_____37. What triangle has three sides that are equal?a. isoscelesb. equilateralc. scalened. right

_____38. It is a triangle with one obtuse angle.a. obtuseb. acutec. scalened. right

_____39. What triangle has one right angle?a. isoscelesb. equilateralc. acuted. right

_____40. What triangle has three acute angles?a. isoscelesb. acutec. obtused. right

V. Classify the following lines or segments as tangent, secant, or chord.

41. 46.

42. 47.

43.48.

44. 49.

45. 50.

VI. Illustrate the following.

51. Line AB

52. Isosceles Triangle

53. Pyramid

54. Rectangular Solid

55. Collinear Points X, Y, Z

56. A pentagon inscribed in a circle

57. Sphere

58. Angle PQR

59. Parallel lines ST and UV

60. Acute angle JKL

Instruction ends in the school-room, but education ends only with life.Frederick W. Robertson

..GOOD LUCK Grade 7..




_____1. What equation can be expressed in the form y = mx + b? a. polynomial b. linear c. quadratic d. inverse _____2. Which of the following is NOT a linear equation? a. y = 3x 5 b. y = x + 4 c. y = 5x + 9 d. y = 3 2x _____3. Which of the following is represented by letter m in the equation y = mx + b? a. x-intercept b. y-intercept c. slope d. point_____4. What is the slope if the line rises from left to right? a. undefined b. positive c. negative d. zero_____5. What is the slope if the line is horizontal? a. undefined b. positive c. negative d. zero_____6. What is the point where the graph intersects the x-axis? a. x-intercept b. y-intercept c. a-intercept d. b-intercept_____7. What is the point where the graph intersects the y-axis? a. x-intercept b. y-intercept c. a-intercept d. b-intercept_____8. What is the standard form of the equation y + 3x 15 = 0? a. 3x + y = -15 b. 3x + y = 15 c. 3x y = -15 d. 3x y = 15_____9. What is the slope if the ordered pairs are (3,5) and (4,9)? a. 3 b. 5 c. d. _____10. What is the line of an undefined slope? a. rises from left to right c. horizontalb. rises from right to left d. vertical

II. Write the slope of the following graph. Write the letter of your answer on the space provided.

_____11. a. positiveb. negativec. zerod. undefined





Show your solution for items 16 20.

_____16. (2,6) and (3,9)a. 3b. 4c. 7d. 6

_____17. (1,9) and (3,11)a. 2b. 3c. 5d. 1

_____18. (2,7) and (4,11)a. 1b. 2c. 1 d. 2

_____19. (3,1) and (4,6)a. 3b. 3 c. 5 d. 5

_____20. (1,2) and (3,5)a. 2b. 3c. 1d. 4

III. Graph each equation on coordinate plane using the intercept method. (2 pts. each)

21 22. x + y = 523 24. x + y = -425 26. 2x + y = 6

x intercept:x intercept:x intercept:y intercept:y intercept:y intercept:

27 28. 4x + 2y = 1629 30. 3x + y = -9x intercept:x intercept:y intercept:y intercept:

IV. Complete the table. Nos. 31 45.

x

y = 7 x

- 18

0

1

2

3

4

x

y = 3x 1

- 1- 4

0

1

2

3

4

x

y = 25 2x

- 18

0

1

2

3

4

V. Solve the following systems using the substitution method.

46 47. x + y = 1048 49. 2x y = 750 51. x + y = 14 x = 4y x = 3y x = 6y

52 53. x y = 2554 55. 3x + 2y = 33 x = 6y x = 9y

VI. Verify if each ordered pair is a solution of the inequality. Write Yes or No.

56. x 3y 6( 4,5 )_______________57. 4x + y > 2(-2,5 )_______________58. 5x + 2y 11( 1,2 )_______________59. 2x 2y 6( 3,4 )_______________60. x 6y < 12( 7,-1)_______________






_____1. What equation can be expressed in the form y = mx + b? a. polynomial b. linear c. quadratic d. inverse _____2. Which of the following is NOT a linear equation? a. y = 3x 5 b. y = x + 4 c. y = 5x + 9 d. y = 3 2x _____3. Which of the following is represented by letter m in the equation y = mx + b? a. x-intercept b. y-intercept c. slope d. point_____4. What is the slope if the line rises from left to right? a. undefined b. positive c. negative d. zero_____5. What is the slope if the line is horizontal? a. undefined b. positive c. negative d. zero_____6. What is the point where the graph intersects the x-axis? a. x-intercept b. y-intercept c. a-intercept d. b-intercept_____7. What is the point where the graph intersects the y-axis? a. x-intercept b. y-intercept c. a-intercept d. b-intercept_____8. What is the standard form of the equation y + 3x 15 = 0? a. 3x + y = -15 b. 3x + y = 15 c. 3x y = -15 d. 3x y = 15_____9. What is the slope if the ordered pairs are (3,5) and (4,9)? a. 3 b. 5 c. d. _____10. What is the line of an undefined slope? a. rises from left to right c. horizontalb. rises from right to left d. vertical

II. Write the slope of the following graph. Write the letter of your answer on the space provided.






Show your solution for items 16 20.

_____16. (2,6) and (3,9)a. 3b. 4c. 7d. 6

_____17. (1,9) and (3,11)a. 2b. 3c. 5d. 1

_____18. (2,7) and (4,11)a. 1b. 2c. 1 d. 2

_____19. (3,1) and (4,6)a. 3b. 3 c. 5 d. 5

_____20. (1,2) and (3,5)a. 2b. 3c. 1d. 4

III. Graph each equation on coordinate plane using the intercept method. (2 pts. each)

21 22. x + y = 523 24. x + y = -425 26. 2x + y = 6

x intercept:x intercept:x intercept:y intercept:y intercept:y intercept:

27 28. 4x + 2y = 1629 30. 3x + y = -9x intercept:x intercept:y intercept:y intercept:

IV. Complete the table. Nos. 31 45.

x

y = 7 x

- 18

0

1

2

3

4

x

y = 3x 1

- 1- 4

0

1

2

3

4

x

y = 25 2x

- 18

0

1

2

3

4

V. Solve the following systems using the substitution method.

46 47. x + y = 1048 49. 2x y = 750 51. x + y = 14 x = 4y x = 3y x = 6y

52 53. x y = 2554 55. 3x + 2y = 33 x = 6y x = 9y

VI. Verify if each ordered pair is a solution of the inequality. Write Yes or No.

56. x 3y 6( 4,5 )_______________57. 4x + y > 2(-2,5 )_______________58. 5x + 2y 11( 1,2 )_______________59. 2x 2y 6( 3,4 )_______________60. x 6y < 12( 7,-1)_______________





I. Solve the following problems.

1. Write the following three ratios as fractions. Simplify the fractions when appropriate:

6 to 4 __________ 2 to 8__________ 1 to 2___________

2. Write the following statements as ratios in fraction form:In a math class, there are 9 males and 11 females.

Ratio of males to females: ________Ratio of females to males: ________Ratio of males to total number of students _________

For questions 3 and 4, check if the proportions are true proportions

3. _______________

4. _______________

For questions 5 through 7, solve the given proportions for x:

5. _______________

6. _______________

7. _______________

8. On a map, 1 inch represents 100 feet. How many inches would represent 350 feet? _________

9. 1 meter equals 100 centimeters. How many meters equal 750 centimeters? __________

10. In a geometry class, the ratio of boys to girls is 2 to 3. If there are 20 students in this class, how many girls are there? __________

II. Write each ratio to its fraction form then reduce it to lowest term.

11. 2:4 = _______________________12. 6:9 =_______________________13. 5:15 = _______________________14. 12:20 = _______________________15. 18:45 = _______________________16. 21:49 = _______________________17. 33:121 = _______________________18. 30:72 = _______________________19. 39:52 = _______________________ 20. 11:22=_______________________

III. Read each problem carefully then answer the questions that follow.Which of these pairs of ratios are equal? Write equal or not._____21. 3 : 4 and 75 : 10_____22. 2 : 3 and 10 : 20_____23. 5 : 1 and 100 : 20_____24. 10 : 1 and 40 : 5_____25. 25 : 5 and 5 : 1The ratio of female learners to male learners in a class is 3:2. If there are 30 female learners in the class, work out:26. the number of male learners_______________27. the total number of learners in the class_______________A fruit and nut company has the following standards requirement: In a packet of dried fruit and nuts, there must be two hundred grams of fruit for every 50 g of nuts.28. Write this as a simple ratio._______________29. What will the amount of fruit be if there are 500 g of nuts?_______________30. What will the amount of fruit be if there are 25 g of nuts?_______________

Robin 4th Monthly Exam

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