PREP 2 MATH QUEST

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Real Numbers Quest

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Maha mohamed

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PREP 2 MATH QUEST


PREP 2 MATH QUESTOnline version Real Numbers Quest by Maha mohamed 1 Quest 1 [10 EXP] Which of the following represents an irrational number (Q')? a B) ∛(-8) b D) 3/5 c A) √9 d C) √7 2 Quest 2 [10 EXP] The number √10 lies between two consecutive integers. What are they? a D) 9 and 10 b B) 3 and 4 c A) 2 and 3 d C) 4 and 5 3 Quest 3 [10 EXP] The set of Real Numbers ℝ is equal to: a A) ℚ ∩ ℚ' b D) ℝ⁺ ∩ ℝ⁻ c C) ℤ ∪ ℕ d B) ℚ ∪ ℚ' 4 Quest 4 [10 EXP] If x² = 5, then x belongs to which set of numbers? a B) ℤ b D) ℕ c C) ℚ' d A) ℚ 5 Quest 5 [10 EXP] Which of the following is a rational number (ℚ)? a C) √5 b A) π c B) ∛27 d D) ∛10 6 Quest 6 [10 EXP] What is ℚ ∩ ℚ' equal to? a C) ∅ b D) ℤ c B) {0} d A) ℝ 7 Quest 7 [10 EXP] The multiplicative inverse of √5 / 5 is: a A) √5 b B) 1/5 c D) 5 d C) -√5 8 Quest 8 [10 EXP] The set of non-negative real numbers is represented by: a C) ℝ⁻ b B) ℝ⁺ ∪ {0} c A) ℝ⁺ d D) ℝ \ {0} 9 Quest 9 [10 EXP] The set of real numbers x such that -2 ≤ x < 3 in interval notation is: a A) [-2, 3] b B) ]-2, 3[ c C) [-2, 3[ d D) ]-2, 3] 10 Quest 10 [10 EXP] Find the intersection: [-3, 5] ∩ ]0, 7] = a C) [0, 5] b D) ]0, 5[ c A) [-3, 7] d B) ]0, 5] 11 Quest 11 [10 EXP] Find the union: [-2, 3[ ∪ [1, 5] = a B) [1, 3[ b A) [-2, 5] c C) ]-2, 5] d D) [-2, 1] 12 Quest 12 [10 EXP] Calculate the difference: [-1, 4] \ {-1, 4} = a B) ]-1, 4[ b A) ∅ c D) {0} d C) [-1, 4[ 13 Quest 13 [10 EXP] The interval ] -∞, 2 ] represents which inequality? a C) x < 2 b D) x ≤ 2 c A) x > 2 d B) x ≥ 2 14 Quest 14 [10 EXP] If x ∈ [2, 5], then x - 2 belongs to: a A) [0, 3] b B) [2, 5] c C) [0, 5] d D) [-2, 3] 15 Quest 15 [10 EXP] ℝ⁺ expressed as an interval is: a D) ]-∞, 0] b A) [0, ∞[ c B) ]0, ∞[ d C) ]-∞, 0[ 16 Quest 16 [10 EXP] The number of integers contained in the interval ]-1, 3] is: a C) 5 b D) 2 c A) 3 d B) 4 17 Quest 17 [10 EXP] Simplify the expression: √18 + √50 - √8 a C) 4√2 b A) 6√2 c D) 10√2 d B) 5√2 18 Quest 18 [10 EXP] If the volume of a cube is 27 cm³, what is its total surface area? a A) 36 cm² b B) 54 cm² c D) 27 cm² d C) 9 cm² 19 Quest 19 [10 EXP] Simplify: ∛54 - ∛16 a D) ∛38 b B) 2∛2 c C) 3∛2 d A) ∛2 20 Quest 20 [10 EXP] The conjugate of the number (√5 - 2) is: a C) -√5 - 2 b B) 2 - √5 c D) √5 - 2 d A) √5 + 2 21 Quest 21 [10 EXP] Calculate the product: (√7 - √3)(√7 + √3) = a A) 10 b D) 2√7 c B) 4 d C) 21 22 Quest 22 [10 EXP] If x = 2 / (√3 - 1), write x in its simplest form with a rational denominator: a C) 2√3 b D) (√3 + 1)/2 c B) √3 + 1 d A) √3 - 1 23 Quest 23 [10 EXP] If √x = 3, then ∛x = a A) 3 b D) 27 c B) 9 d C) ∛9 24 Quest 24 [10 EXP] The value of (√5 + √2)² - 2√10 is: a C) 3 b A) 7 c B) 10 d D) 7 + 4√10 25 Quest 25 [10 EXP] Simplify: (√3)⁴ a D) 3√3 b A) 3 c C) 27 d B) 9 26 Quest 26 [10 EXP] Evaluate: (√2)⁵ ÷ (√2)³ a D) 2√2 b B) √2 c A) 2 d C) 4 27 Quest 27 [10 EXP] Find the value of x if: (√5)ˣ = 25 a B) 4 b C) 5 c D) 1/2 d A) 2 28 Quest 28 [10 EXP] Simplify: (2√3)³ a B) 18√3 b A) 24√3 c D) 72 d C) 8√3 29 Quest 29 [10 EXP] If (∛2)ˣ = 4, then x = a B) 6 b D) 8 c A) 3 d C) 2 30 Quest 30 [15 EXP BOSS FIGHT ] Simplify: [ (√5)⁴ × (√5)⁻² ] / (√5)⁰ a B) 25 b A) 5 c D) 1 d C) √5

PREP 2 MATH QUEST

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PREP 2 MATH QUESTOnline version

by Maha mohamed

Quest 1 [10 EXP] Which of the following represents an irrational number (Q')?

Quest 2 [10 EXP] The number √10 lies between two consecutive integers. What are they?

Quest 3 [10 EXP] The set of Real Numbers ℝ is equal to:

Quest 4 [10 EXP] If x² = 5, then x belongs to which set of numbers?

Quest 5 [10 EXP] Which of the following is a rational number (ℚ)?

Quest 6 [10 EXP] What is ℚ ∩ ℚ' equal to?

Quest 7 [10 EXP] The multiplicative inverse of √5 / 5 is:

Quest 8 [10 EXP] The set of non-negative real numbers is represented by:

Quest 9 [10 EXP] The set of real numbers x such that -2 ≤ x < 3 in interval notation is:

Quest 10 [10 EXP] Find the intersection: [-3, 5] ∩ ]0, 7] =

Quest 11 [10 EXP] Find the union: [-2, 3[ ∪ [1, 5] =

Quest 12 [10 EXP] Calculate the difference: [-1, 4] \ {-1, 4} =

Quest 13 [10 EXP] The interval ] -∞, 2 ] represents which inequality?

Quest 14 [10 EXP] If x ∈ [2, 5], then x - 2 belongs to:

Quest 15 [10 EXP] ℝ⁺ expressed as an interval is:

Quest 16 [10 EXP] The number of integers contained in the interval ]-1, 3] is:

Quest 17 [10 EXP] Simplify the expression: √18 + √50 - √8

Quest 18 [10 EXP] If the volume of a cube is 27 cm³, what is its total surface area?

Quest 19 [10 EXP] Simplify: ∛54 - ∛16

Quest 20 [10 EXP] The conjugate of the number (√5 - 2) is:

Quest 21 [10 EXP] Calculate the product: (√7 - √3)(√7 + √3) =

Quest 22 [10 EXP] If x = 2 / (√3 - 1), write x in its simplest form with a rational denominator:

Quest 23 [10 EXP] If √x = 3, then ∛x =

Quest 24 [10 EXP] The value of (√5 + √2)² - 2√10 is:

Quest 25 [10 EXP] Simplify: (√3)⁴

Quest 26 [10 EXP] Evaluate: (√2)⁵ ÷ (√2)³

Quest 27 [10 EXP] Find the value of x if: (√5)ˣ = 25

Quest 28 [10 EXP] Simplify: (2√3)³

Quest 29 [10 EXP] If (∛2)ˣ = 4, then x =

Quest 30 [15 EXP BOSS FIGHT ] Simplify: [ (√5)⁴ × (√5)⁻² ] / (√5)⁰