- What is the 5th term and the 5th partial sum of the sequence?
A. (a_n = 3n + 2)
B. (a_n = 2n^2 + 1)
C. (a_n = n^3 – n)
D. (a_n = 5n – 4)
Answer: A - The 4th term of an A.P is (10) and the 7th term is (16). Find the 10th term.
A. (22)
B. (18)
C. (20)
D. (24)
Answer: D - Let (a_n) be a sequence, then find the sum of the first (n) terms of the sequence.
A. (S_n = \frac{n}{2}(a + l))
B. (S_n = n \cdot a)
C. (S_n = n^2)
D. (S_n = \frac{n(n+1)}{2})
Answer: C - Find the relationship between (a), (d), (n) if they are the nth term and sum of the first n terms of a sequence respectively.
A. (a_n = a + (n-1)d)
B. (S_n = \frac{n}{2}(2a + (n-1)d))
C. (S_n = n \cdot a_n)
D. (S_n = a + d)
Answer: B - If the nth term of a GP is (8) and the mth term is (32), find the sum to infinity of the G.P.:
A. (40)
B. (64)
C. (80)
D. (50)
Answer: B - Given that (x^2 – 5x + 6 = 0), find (x):
A. (2, 3)
B. (4, 1)
C. (5, 0)
D. (-1, -6)
E. (3, -2)
Answer: A - Find two geometric means between (4) and (16):
A. (8, 12)
B. (6, 12)
C. (6, 18)
D. (8, 10)
Answer: A - The sum of a sequence is (100). What is the (n)th term of the sequence?
A. (10)
B. (20)
C. (25)
D. (50)
Answer: A - Determine the value of (S_n) for the sequence where (S_n = 4n – 3):
A. (2n + 1)
B. (n^2)
C. (n + 2)
D. (4n – 3)
Answer: D - Insert two geometric means between (2) and (18):
A. (6, 12)
B. (4, 16)
C. (3, 9)
D. (5, 15)
Answer: C
MORE
- What is the value of (7 + 5)?
a) 11
b) 12
c) 13
d) 14
Answer: b) 12 - What is the result of (8 \times 4)?
a) 30
b) 32
c) 34
d) 36
Answer: b) 32 - Which of the following is a prime number?
a) 15
b) 21
c) 29
d) 35
Answer: c) 29 - What is the square root of 64?
a) 6
b) 7
c) 8
d) 9
Answer: c) 8 - If (x + 3 = 10), what is the value of (x)?
a) 6
b) 7
c) 8
d) 9
Answer: a) 7 - What is the value of (12 – 4 \times 2)?
a) 4
b) 8
c) 6
d) 2
Answer: b) 8 - What is (3^3)?
a) 6
b) 9
c) 27
d) 30
Answer: c) 27 - Which of the following is an example of an irrational number?
a) ( \frac{1}{2} )
b) 2
c) ( \sqrt{2} )
d) 3.5
Answer: c) ( \sqrt{2} ) - What is the greatest common divisor (GCD) of 24 and 36?
a) 6
b) 12
c) 18
d) 24
Answer: b) 12 - If the perimeter of a square is 40 cm, what is the length of one side?
a) 5 cm
b) 10 cm
c) 15 cm
d) 20 cm
Answer: b) 10 cm - What is the value of ( \frac{15}{3} + 4 )?
a) 5
b) 7
c) 9
d) 11
Answer: c) 9 - Which of the following equations represents a line?
a) (y = x^2 + 3)
b) (y = 2x + 1)
c) (y = \sqrt{x})
d) (y = \frac{1}{x})
Answer: b) (y = 2x + 1) - What is (25\% ) of 200?
a) 25
b) 50
c) 75
d) 100
Answer: b) 50 - What is the slope of the line represented by the equation (y = 3x + 2)?
a) 2
b) 3
c) 1
d) 0
Answer: b) 3 - If (f(x) = 2x + 3), what is (f(4))?
a) 8
b) 11
c) 14
d) 7
Answer: b) 11 - What is the area of a triangle with a base of 10 cm and a height of 5 cm?
a) 25 cm²
b) 30 cm²
c) 50 cm²
d) 15 cm²
Answer: a) 25 cm² - What is the value of (6 + (2 \times 3))?
a) 12
b) 10
c) 8
d) 18
Answer: b) 12 - Which of the following is a solution to the equation (x^2 – 4 = 0)?
a) 1
b) -2
c) 2
d) Both b and c
Answer: d) Both b and c - What is the volume of a cube with a side length of 3 cm?
a) 6 cm³
b) 9 cm³
c) 27 cm³
d) 12 cm³
Answer: c) 27 cm³ - What is the median of the following set of numbers: 3, 1, 4, 2, 5?
a) 2
b) 3
c) 4
d) 5
Answer: b) 3 - What is (7! ) (7 factorial)?
a) 120
b) 5040
c) 720
d) 1000
Answer: b) 5040 - What is the sum of the interior angles of a triangle?
a) 90°
b) 180°
c) 270°
d) 360°
Answer: b) 180° - If (x – 5 = 10), what is the value of (x)?
a) 5
b) 10
c) 15
d) 20
Answer: c) 15 - Which of the following is a property of an even number?
a) It cannot be divided by 2
b) It can be divided by 2 without a remainder
c) It is always a prime number
d) It is always negative
Answer: b) It can be divided by 2 without a remainder - What is the next number in the sequence: 2, 4, 6, 8, …?
a) 10
b) 12
c) 14
d) 16
Answer: a) 10 - What is (9 – 3 \times 2 + 1)?
a) 5
b) 7
c) 9
d) 10
Answer: b) 7 - What is the difference between 100 and 37?
a) 57
b) 63
c) 73
d) 80
Answer: a) 63 - If the length of a rectangle is 8 cm and the width is 4 cm, what is its area?
a) 24 cm²
b) 32 cm²
c) 36 cm²
d) 40 cm²
Answer: b) 32 cm² - Which of the following is a solution to (2x + 3 = 11)?
a) 2
b) 3
c) 4
d) 5
Answer: a) 4 - What is the value of (4^2 + 3^2)?
a) 16
b) 25
c) 20
d) 28
Answer: b) 25 - What is the circumference of a circle with a radius of 3 cm?
a) 6Ï€ cm
b) 9Ï€ cm
c) 12Ï€ cm
d) 18Ï€ cm
Answer: b) 6Ï€ cm - Which of the following equations represents a quadratic function?
a) (y = 2x + 5)
b) (y = x^2 – 4x + 4)
c) (y = \sqrt{x})
d) (y = 3x^3)
Answer: b) (y = x^2 – 4x + 4) - What is the least common multiple (LCM) of 4 and 5?
a) 10
b) 20
c) 15
d) 5
Answer: b) 20 - If (x = 2), what is the value of (3x^2 + 2)?
a) 8
b) 10
c) 14
d) 18 Answer: c) 14 - What is the area of a circle with a radius of 2 cm?
a) 4π cm²
b) 6π cm²
c) 8π cm²
d) 10π cm²
Answer: a) 4π cm² - What is the probability of flipping a fair coin and getting heads?
a) 0
b) 0.25
c) 0.5
d) 1
Answer: c) 0.5 - What is the value of (x) if (5x = 25)?
a) 5
b) 4
c) 3
d) 2
Answer: a) 5 - Which of the following is an example of a composite number?
a) 2
b) 3
c) 4
d) 5
Answer: c) 4 - If the ratio of boys to girls in a class is 3:4 and there are 12 boys, how many girls are there?
a) 12
b) 16
c) 18
d) 24
Answer: b) 16 - What is ( (2 + 3) \times 4 )?
a) 15
b) 20
c) 25
d) 30
Answer: b) 20 - What is the formula for the area of a rectangle?
a) Length + Width
b) Length × Width
c) Length – Width
d) Length ÷ Width
Answer: b) Length × Width - Which of the following represents a function?
a) A relation that assigns two outputs to one input
b) A relation that assigns exactly one output to each input
c) A set of numbers
d) A geometric shape
Answer: b) A relation that assigns exactly one output to each input - What is (20\% ) of 150?
a) 25
b) 30
c) 35
d) 40
Answer: b) 30 - What is the first step in solving the equation (3x – 9 = 0)?
a) Add 9 to both sides
b) Multiply both sides by 3
c) Subtract 3 from both sides
d) Divide both sides by 3
Answer: a) Add 9 to both sides - If the sides of a rectangle are doubled, what happens to its area?
a) It remains the same
b) It doubles
c) It triples
d) It quadruples
Answer: d) It quadruples - What is the coefficient of (x) in the expression (3x^2 + 4x – 7)?
a) 3
b) 4
c) -7
d) 0
Answer: b) 4 - If you roll a die, what is the probability of rolling an even number?
a) ( \frac{1}{6} )
b) ( \frac{1}{2} )
c) ( \frac{1}{3} )
d) ( \frac{2}{3} )
Answer: b) ( \frac{1}{2} ) - What is the product of the roots of the equation (x^2 – 5x + 6 = 0)?
a) 5
b) 6
c) 7
d) 8
Answer: b) 6 - What is the standard form of a linear equation?
a) (y = mx + b)
b) (Ax + By = C)
c) (y = ax^2 + bx + c)
d) None of the above
Answer: b) (Ax + By = C) - What is the value of (x) in the equation (2x + 3 = 11)?
a) 2
b) 3
c) 4
d) 5
Answer: c) 4