Grade 10 math exam review pdf năm 2024

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Grade 10 Math Exam 1st FINAL PDF

TAMBULIG NHS

LOWER TIPARAK ANNEX Lower Tiparak, Tambulig, Zamboanga del Sur 1

st

Grading Examination, S.Y. 2018 - 2019 Grade 10 Mathematics

Family Name, Given Name Middle Name

Learner Reference Number

Year & Section

  1. MULTIPLE CHOICE. Shade the circle that correspond the letter of your answer.

1. It is a sequence where every term after the first is obtained by adding a constant called the common difference. a.

arithmetic sequence

geometric sequence

harmonic sequence

Fibonacci sequence

2. It is the difference between any two consecutive terms in an arithmetic sequence. a.

variable

constant

exponent

coefficient

3. What are the next three shapes?

,

,

,

,

,

,

,

,

,

, __, __, __,

,

, …

,

,

,

,

,

,

,

,

4. Which of the following is an arithmetic sequence? a.

2, 6, 18, 54, 162

1, -3, 9, -27, 81

800, 400, 200, 100, 50

5, -2, -9, -16, -23

5. Find the common difference in the arithmetic sequence 13, 10, 7, 4

, …

-3

-1

1

3

6. The first term of an arithmetic sequence is 2 while the 10th term is 38. Find the common difference of the sequence. a.

6

5

4

3

7. If three arithmetic means are inserted between 11 and 39, find the second arithmetic mean. a.

18

25

32

46

8. Which term of the arithmetic sequence 4, 1, -2, -5, . . . is -29? a.

9

th

term

10

th

term

11

th

term

12

th

term

9. What is the sum of all the odd integers between 8 and 16? a.

53

51

49

48

10. It is a sequence where each term after the first is obtained by multiplying the preceding term by a nonzero constant. a.

arithmetic sequence

geometric sequence

harmonic sequence

Fibonacci sequence

11. It is a sequence such that the reciprocals of the terms form an arithmetic sequence. a.

arithmetic sequence

geometric sequence

harmonic sequence

Fibonacci sequence

12. It is a sequence where its first two terms are either both 1, or 0 and 1; and each term, thereafter, is obtained by adding the two preceding terms. a.

arithmetic sequence

geometric sequence

harmonic sequence

Fibonacci sequence

13. Which of the following is an arithmetic sequence? a.

3, 6, 12, 24, 48

4, 10, 16, 22, 28

c

.



,



,



,



,



5, 8, 13, 21, 34

14. Find the common ratio in the geometric sequence 5, -25, 125, -625, 3125. a.





5

-5

15. The first term of a geometric sequence is -2 while the 6th term is -64. Find the common ratio of the sequence. a.

2

-2





SCORE:

____

40

D C B A

16. If three geometric means are inserted between 16 and 81, find the second geometric mean. a.

24

36

48

54

17. Which term of the geometric sequence 6, 12, 24, 48, . . . is 768? a.

6

th

term

7

th

term

8

th

term

9

th

term

18. Find the 6

th

term of the geometric sequence where the 2

nd

term is 6 and common ratio is 2. a.

12

24

48

96

19. A polynomial expre

ssion P(x)

is an e

x

pression where the nonnegative integer

n

is called the degree of the polynomial and numerical coefficients are real numbers. Which of the following is

NOT

a polynomial expression? a.

x

2

4x + 5

4x

-3

+ 8x

-2

+ 10x

7

3x

4

5x

3

+ 2x

1

x

3

9

20. Which of the following is a polynomial? i. 4x

3

+ 9

x

5x

2

+ 7 ii. 2x

-5

+ x

-2

+ x

-3

+ 2x + 5 iii.



   

i only

ii only

i and ii

i and iii

21. The leading term of a polynomial expression is the term with the highest degree. What is the leading coefficient of the polynomial 5

x

10

+ 4

x

12

+ 4

x

6

+

x

4

x?

x - 5

x - 25

x + 5

x + 25

22. What is the quotient when

x

2

25 is divided by

x

5? a.

4

5

10

12

For items 23 to 26

, use the illustration on long division that follows: Divide (5x

2

+ 14x

  1. by (

x

+ 4) 23. What is the remainder? a.

0

x + 4

5x - 6

5x

2

+ 14x

24

24. What is the divisor? a.

0

x + 4

5x - 6

5x

2

+ 14x

24

25. What is the quotient? a.

0

x + 4

5x - 6

5x

2

+ 14x

24

26. What is the process used to obtain the 2

nd

line? a.

subtracting 5x from (x + 4)

dividing 5x by (x + 4)

adding 5x to (x + 4)

multiplying 5x by (x + 4)

27. Which of the following can be used as a divisor when diving polynomials using the synthetic method? a.

3x

3

- 6

x

2

+ 4

x - 6

2x

2

1

28. Using synthetic method, determine the quotient when 5x

3

+

3x

8 is divided by

x

1. a.

5x

2

+ 5x + 8

5x

2

- 5x - 2

5x

2

+ 5x - 2

5x

2

+ 5x

8

29. Using synthetic method, determine the remainder when 2x

3

54 is divided by

x

3. a.

3

2

1

0

30. Gabriel used synthetic division to find the quotient if (5

x

2

16

x

+ 4

x

3

  1. is divided by (

x

2). He obtained

19 as remainder. His solution is shown below. 2 5 -16 4 -3 Row 1 10 -12 -16 Row 2 5 -6 -8 -19 Row 3

What is the error? i. The sign of the divisor was not changed. ii. The terms of the polynomial were not arranged according to decreasing powers of

x

. iii. The sum entries in the third row are incorrect. iv. The numerical coefficients of the first row were not properly written. a.

i only

ii only

ii and iv only

i and iii only

31. Which of the following is/are the method/s in finding the remainder if P(x) is divided by x - r? a.

synthetic division

Remainder Theorem

both a and b

none of these

32. Which of the following describes the Remainder Theorem? a.

If polynomial P(x) is divided by (x

r), then the remainder R is a constant and is equal to P(r).

If polynomial P(x) is divided by (x

r), then the remainder R is a constant but not equal to P(r).

If polynomial P(x) is divided by (x

r), then the remainder R is zero and is equal to P(r).

If polynomial P(x) is divided by (x

r), then the remainder R is zero but not equal to P(r).

33. Find the remainder when (5x

2

2x + 1) is divided by (x + 2). a.

2

5

25

0

34. Find the remainder when (2x + x

3

+ 7x

2

  1. is divided by (x

2). a.

2

5

25

0

35. Which of the following polynomials will have a remainder of 0 when divided by x + 1? a.

x

2

+ 2x + 1

x

2

+ 4x

4

x

2

6x + 8

x

2

9

36. x

r is a factor of P(x) if and only if the remainder R of P(r) ÷ (x

  1. is ____. a.

0

1

2

3

37. Which of the following describes the Factor Theorem? a.

If (x

  1. is a factor of P(x), then P(r) = 0.

If P(r) = 0, then (x

  1. is a factor of P(x).

both a and b

none of these

38. Which of the following is a factor of 3x

3

8x

2

+ 3x + 2? a.

x + 1

x

1

x + 2

x

3

39. Which of the following is a factor of 3x

3

+ 2x

2

37x + 12? a.

x + 1

x

1

x + 2

x

3

40. (x

  1. is factor of x

3

2x

2

x + 2. What are the other factors? a.

(x + 1)(x + 1)

(x

2)(x

1)

(x + 1)(x

(x

2)(x + 1)

GOOD LUCK!

Sir REYGIE L. FABRIGA

  1. Documents
  2. Teaching Methods & Materials
  3. Mathematics

What is the best way to review for a math test?

Here are some tips on studying for exams..

Start on Day One. You should always be studying for the next exam. ... .

Get a Good Night's Sleep. ... .

Make a List of Important Concepts/Formulas. ... .

Rework Homework Problems. ... .

Rework Book/Notes Examples. ... .

Look for Identifying Characteristics in Problems. ... .

Take a Practice Exam..

What is taught in Grade 10 math Ontario?

Students will explore quadratic relations and their applications; solve and apply linear systems; verify properties of geometric figures using analytic geometry; and investigate the trigonometry of right and acute triangles.

What is the course material for MPM2D?

The course, using code MPM2D, is divided into six units: linear systems, analytic geometry, similar triangles and trigonometry, quadratic expressions, quadratic equations part 1, and quadratic equations part 2. The six units cover key topics in mathematics with a focus on their real-world applications.

What is mathematics test?

A mathematics aptitude test is a valuable tool for evaluating a candidate's proficiency in mathematical problem-solving and numerical reasoning.