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EST2–HS Math 2 Practice Questions (Hard Level)

20 Multiple Choice Questions (MCQs)

Question 1

Solve the equation:

x² - 9x + 20 = 0

A) x = 2, 10
B) x = 4, 5
C) x = -4, -5
D) x = 1, 20
E) x = 3, 6

✅ Correct Answer: B) x = 4, 5

Question 2

If:

f(x) = 3x² - 2x + 1

What is f(2)?

A) 7
B) 9
C) 11
D) 13
E) 15

✅ Correct Answer: C) 9

Question 3

The graph of:

y = x² - 6x + 5

has a minimum point at:

A) (3, -4)
B) (6, 5)
C) (-3, 4)
D) (3, 4)
E) (5, 3)

✅ Correct Answer: A) (3, -4)

Question 4

Simplify:

(x² - 16) ÷ (x - 4)

A) x - 4
B) x + 4
C) x² + 4
D) x² - 4
E) 4x

✅ Correct Answer: B) x + 4

Question 5

Find the value of:

log₁₀(1000)

A) 1
B) 2
C) 3
D) 10
E) 100

✅ Correct Answer: C) 3

Question 6

Solve:

2ˣ = 32

A) 3
B) 4
C) 5
D) 6
E) 8

✅ Correct Answer: C) 5

Question 7

A sequence is:

5, 9, 13, 17, ...

What is the 20th term?

A) 77
B) 81
C) 85
D) 89
E) 93

✅ Correct Answer: B) 81

Question 8

Find the sum of the first 10 terms of:

3, 6, 9, 12, ...

A) 150
B) 165
C) 180
D) 195
E) 210

✅ Correct Answer: B) 165

Question 9

If:

sin θ = 3/5

and θ is an acute angle, what is cos θ?

A) 3/4
B) 4/5
C) 5/3
D) 2/5
E) 1/5

✅ Correct Answer: B) 4/5

Question 10

A circle has radius 7 cm. What is its area?

A) 7π
B) 14π
C) 21π
D) 49π
E) 98π

✅ Correct Answer: D) 49π

Question 11

The equation of a line is:

y = -3x + 8

What is the slope?

A) -8
B) -3
C) 3
D) 8
E) 11

✅ Correct Answer: B) -3

Question 12

Find the determinant of:

| 3 2 |
| 5 4 |

A) 2
B) 3
C) 4
D) 6
E) 12

✅ Correct Answer: A) 2

Question 13

Solve:

√(x + 5) = 6

A) 25
B) 30
C) 31
D) 36
E) 41

✅ Correct Answer: C) 31

Question 14

If:

a = 4 and b = -3

Find:

a² - b²

A) 7
B) 16
C) 25
D) 9
E) 1

✅ Correct Answer: A) 7

Question 15

The probability of an event happening is:

0.25

What is the probability that it does NOT happen?

A) 0.15
B) 0.25
C) 0.50
D) 0.75
E) 1.25

✅ Correct Answer: D) 0.75

Question 16

A function has the form:

f(x)=ax+b

If:

f(2)=7 and f(5)=16

What is the value of a?

A) 2
B) 3
C) 4
D) 5
E) 6

✅ Correct Answer: B) 3

Question 17

Simplify:

(2x³)(5x²)

A) 7x⁵
B) 10x⁵
C) 10x⁶
D) 7x⁶
E) 25x⁵

✅ Correct Answer: B) 10x⁵

Question 18

The distance between points (2,3) and (6,6) is:

A) 3
B) 4
C) 5
D) 6
E) 7

✅ Correct Answer: C) 5

Question 19

A quadratic equation has no real solutions when:

A) The discriminant is positive
B) The discriminant is zero
C) The discriminant is negative
D) The coefficient is positive
E) The constant is zero

✅ Correct Answer: C) The discriminant is negative

Question 20

If:

3x + 2y = 12
x + y = 5

What is the value of x?

A) 1
B) 2
C) 3
D) 4
E) 5

✅ Correct Answer: B) 2

Topics Covered:
✅ Quadratic equations
✅ Functions
✅ Logarithms
✅ Exponents
✅ Sequences
✅ Trigonometry
✅ Probability
✅ Matrices
✅ Coordinate geometry
✅ Algebraic expressions

EST2–HS Math 2 | Hard Practice Set

📘 EST 2 - HS Math 2

FREE MCQ Data Bank • Past Papers • Expected Questions • Practice Tests

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