Math
tehh grade 10 math tohh kayanin mo (manifesting)
問題一覧
1
What letter comes next after A, E, I, M?
Q
2
Observe the number of rectangles on each figure below, how many rectangles will there be in figure 6?
13
3
Which number comes next in the given sequence 6, 13, 20, 27, 34?
41
4
Which of the following sets of numbers follows a certain pattern?
275, 250, 200, 175, 150
5
Given the sequence 3, 5, 8, 12, 17, if this pattern continues, what will be the next term?
23
6
What is the value of d in the sequence 1, 11, 21, 31, 41...?
10
7
Find the common difference in the sequence -18, -15, -12, -9, -6.
3
8
It is the distance between the terms in an arithmetic sequence.
constant
9
Which term of arithmetic sequence 4, 1, -2, -5 is -17?
8th
10
If three means are inserted between 11 and 39, find the second arithmetic mean.
25
11
Find the 46th term of the arithmetic sequence 3, 8, 13, 18, 23, 28, 33...
228
12
Which of the following are the two-arithmetic means between 13 and 49?
24, 36
13
What is the sum of the first 34 terms of the arithmetic sequence 61, 59, 57, 55, 53...?
952
14
What is the common ratio for the geometric sequence 64, 48, 36, 27...?
3/4
15
What is the next term of the geometric sequence 256, 128, 64, 32?
16
16
What type of sequence is illustrated in the given -2, 6, -18, 54?
Geometric
17
Which of the following sequences is an arithmetic sequence?
7, 15, 23, 31
18
Identify which of the following sequences is NOT a geometric sequence?
1, ½, ¼, ⅛
19
Which of the following does not belong to the group?
19, 15, 11, 7
20
What is the sum of the first 10 terms of the geometric sequence 6, -12, 24, -48...?
6,183
21
What is the 7th term of the geometric sequence 1, -5, 25, -125...?
78,125
22
Given a_1 = 2 and r = 6 of a geometric sequence, find the first three terms.
2, 8, 14
23
What is the geometric mean between 4 and 25?
±10
24
Find the sum of the geometric sequence -3, -6, -12, -24, -48...
96
25
What is the sum of the infinite geometric series 6 + 2 + 2/3 + 2/9 +...?
9
26
Sakuragi was saving for a pair of shoes. From his weekly allowance, he was able to save Php 5 on the first week, Php 9 on the second, Php 13 on the third week, and so on. If he continued saving in this pattern and made 43 deposits, how much did Sakuragi save?
Php 3827
27
Lolong started a job with a monthly salary of Php 25000 this 2022. If he receives a Php 2000 increase each year, how much will his monthly income be in the year 2030?
Php 41000
28
Jonaxx starts a chain letter and sends it to three friends. Each of the three friends sends the letter to 3 other friends and the sequence repeats. Assuming that no one breaks the chain, how many letters will have been sent from the first through the six mailings?
1192
29
Twelve days before Valentine's Day, Han Ji-pyeong decided to give Seo Dal-mi flowers according to the Fibonacci sequence. On the first day, he sent one rose, on the second day, another one red rose, on the third day, two red roses, on the fourth day, three red roses and so on. How many red roses did Seo Dal-mi receive during the tenth day?
55
30
What is the quotient when x^2 - 16 is divided by x + 4?
x - 4
31
Which of the following synthetic divisions set up would give the correct quotient of (3x^4 - 6x^2 + 30x + 20) ÷ (x - 3)?
3 | 3 3 -6 30 20
32
To find the quotient of (2x^3 + 4x^2 + 20x - 12) ÷ (x - 3), which of the following solutions of synthetic division is correct?
3 | 2 4 12 6 30 2 10 42
33
Using the remainder theorem, find P(4) if P(x) = 4x + 3.
19
34
What will be the remainder when P(x) = 2x^3 - 3x^2 - 5x - 4 is divided by x + 2?
-2
35
If the zeros of P(x) are 1, -2, and 3, what are the factors of P(x)?
(x + 1)(x - 2)(x - 3)
36
Which of the following is one of the factors of x^2 - 7x + 12?
x - 3
37
What are the zeros of x^2 + 5x - 24?
x = -3, 8
38
If (x + 2) and (x - 4) are factors of P(x) = x^3 + x^2 - 10x - 8, what is the other factor?
x - 2
39
Write the polynomial x^3 - 6x^2 + 11x - 6 in factored form.
(x - 1)(x - 2)(x - 3)
40
Which of the following illustrates a polynomial equation?
√6x + 5x
41
Which of the following is a possible value of x in the equation x³+ 2x² - 8x - 9 = 0?
-1
42
The possible roots of 3x³- 3x² + 6x²+ 2x + 8x + 5 = 0 are
±3, ±5
43
Find the zeros of P(x) = x⁴- 13x² + 36
-9, -4, 4, 9
44
How many positive real roots does 2x^4 - 3x^3 - 2x^2 - 2 = 0 have?
2
45
One of the roots of the polynomial equation 2x^3 + 5x^2 - 28x - 15 = 0 is 5. Find the other roots.
-3/2, 3
46
Find the polynomial equation whose roots are 3, -2, and 4.
x³ - 3x² + 10x + 24 = 0
47
If 4 is a root of x^2 - 3x + k - 7 = 0, then the value of k is ____.
1
48
The rectangular garden of Nightbird has an area of 8x^2 + 14x - 15 square meters. If the length measures (2x + 5) meters, find the width.
(4x - 3) m
49
The volume of a rectangular shoe box is 2x³ - 9x² - 19x + 6 cubic cm, and its height is (x - 6) cm. Find the area of the box's base.
x² + 3x - 1 cm²
50
The length of a rectangular box is 3 inches more than the width, the width is 2 inches more than the height, and the volume of the box is 120 cubic inches. If the height is represented by x, which of the following polynomial equations defines the volume of the box?
x³ + 7x² + 10x = 120
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20問 • 1年前問題一覧
1
What letter comes next after A, E, I, M?
Q
2
Observe the number of rectangles on each figure below, how many rectangles will there be in figure 6?
13
3
Which number comes next in the given sequence 6, 13, 20, 27, 34?
41
4
Which of the following sets of numbers follows a certain pattern?
275, 250, 200, 175, 150
5
Given the sequence 3, 5, 8, 12, 17, if this pattern continues, what will be the next term?
23
6
What is the value of d in the sequence 1, 11, 21, 31, 41...?
10
7
Find the common difference in the sequence -18, -15, -12, -9, -6.
3
8
It is the distance between the terms in an arithmetic sequence.
constant
9
Which term of arithmetic sequence 4, 1, -2, -5 is -17?
8th
10
If three means are inserted between 11 and 39, find the second arithmetic mean.
25
11
Find the 46th term of the arithmetic sequence 3, 8, 13, 18, 23, 28, 33...
228
12
Which of the following are the two-arithmetic means between 13 and 49?
24, 36
13
What is the sum of the first 34 terms of the arithmetic sequence 61, 59, 57, 55, 53...?
952
14
What is the common ratio for the geometric sequence 64, 48, 36, 27...?
3/4
15
What is the next term of the geometric sequence 256, 128, 64, 32?
16
16
What type of sequence is illustrated in the given -2, 6, -18, 54?
Geometric
17
Which of the following sequences is an arithmetic sequence?
7, 15, 23, 31
18
Identify which of the following sequences is NOT a geometric sequence?
1, ½, ¼, ⅛
19
Which of the following does not belong to the group?
19, 15, 11, 7
20
What is the sum of the first 10 terms of the geometric sequence 6, -12, 24, -48...?
6,183
21
What is the 7th term of the geometric sequence 1, -5, 25, -125...?
78,125
22
Given a_1 = 2 and r = 6 of a geometric sequence, find the first three terms.
2, 8, 14
23
What is the geometric mean between 4 and 25?
±10
24
Find the sum of the geometric sequence -3, -6, -12, -24, -48...
96
25
What is the sum of the infinite geometric series 6 + 2 + 2/3 + 2/9 +...?
9
26
Sakuragi was saving for a pair of shoes. From his weekly allowance, he was able to save Php 5 on the first week, Php 9 on the second, Php 13 on the third week, and so on. If he continued saving in this pattern and made 43 deposits, how much did Sakuragi save?
Php 3827
27
Lolong started a job with a monthly salary of Php 25000 this 2022. If he receives a Php 2000 increase each year, how much will his monthly income be in the year 2030?
Php 41000
28
Jonaxx starts a chain letter and sends it to three friends. Each of the three friends sends the letter to 3 other friends and the sequence repeats. Assuming that no one breaks the chain, how many letters will have been sent from the first through the six mailings?
1192
29
Twelve days before Valentine's Day, Han Ji-pyeong decided to give Seo Dal-mi flowers according to the Fibonacci sequence. On the first day, he sent one rose, on the second day, another one red rose, on the third day, two red roses, on the fourth day, three red roses and so on. How many red roses did Seo Dal-mi receive during the tenth day?
55
30
What is the quotient when x^2 - 16 is divided by x + 4?
x - 4
31
Which of the following synthetic divisions set up would give the correct quotient of (3x^4 - 6x^2 + 30x + 20) ÷ (x - 3)?
3 | 3 3 -6 30 20
32
To find the quotient of (2x^3 + 4x^2 + 20x - 12) ÷ (x - 3), which of the following solutions of synthetic division is correct?
3 | 2 4 12 6 30 2 10 42
33
Using the remainder theorem, find P(4) if P(x) = 4x + 3.
19
34
What will be the remainder when P(x) = 2x^3 - 3x^2 - 5x - 4 is divided by x + 2?
-2
35
If the zeros of P(x) are 1, -2, and 3, what are the factors of P(x)?
(x + 1)(x - 2)(x - 3)
36
Which of the following is one of the factors of x^2 - 7x + 12?
x - 3
37
What are the zeros of x^2 + 5x - 24?
x = -3, 8
38
If (x + 2) and (x - 4) are factors of P(x) = x^3 + x^2 - 10x - 8, what is the other factor?
x - 2
39
Write the polynomial x^3 - 6x^2 + 11x - 6 in factored form.
(x - 1)(x - 2)(x - 3)
40
Which of the following illustrates a polynomial equation?
√6x + 5x
41
Which of the following is a possible value of x in the equation x³+ 2x² - 8x - 9 = 0?
-1
42
The possible roots of 3x³- 3x² + 6x²+ 2x + 8x + 5 = 0 are
±3, ±5
43
Find the zeros of P(x) = x⁴- 13x² + 36
-9, -4, 4, 9
44
How many positive real roots does 2x^4 - 3x^3 - 2x^2 - 2 = 0 have?
2
45
One of the roots of the polynomial equation 2x^3 + 5x^2 - 28x - 15 = 0 is 5. Find the other roots.
-3/2, 3
46
Find the polynomial equation whose roots are 3, -2, and 4.
x³ - 3x² + 10x + 24 = 0
47
If 4 is a root of x^2 - 3x + k - 7 = 0, then the value of k is ____.
1
48
The rectangular garden of Nightbird has an area of 8x^2 + 14x - 15 square meters. If the length measures (2x + 5) meters, find the width.
(4x - 3) m
49
The volume of a rectangular shoe box is 2x³ - 9x² - 19x + 6 cubic cm, and its height is (x - 6) cm. Find the area of the box's base.
x² + 3x - 1 cm²
50
The length of a rectangular box is 3 inches more than the width, the width is 2 inches more than the height, and the volume of the box is 120 cubic inches. If the height is represented by x, which of the following polynomial equations defines the volume of the box?
x³ + 7x² + 10x = 120