EJU EJU Mathematics Course 1 Practice

Question 1

A quadratic equation x² - 5x + 6 = 0 has roots α and β. What is the value of α² + β²?

Accepted Answer

13

Answer

25

Answer

11

Answer

7

Question 2

If log₂(x) = 3 and log₂(y) = 5, what is log₂(x²y)?

Accepted Answer

11

Answer

16

Answer

13

Answer

8

Question 3

A function f(x) = x² - 4x + 7. What is the minimum value of f(x)?

Accepted Answer

3

Answer

7

Answer

4

Answer

1

Question 4

In triangle ABC, if angle A = 60°, b = 4, and c = 6, what is the value of side a using the law of cosines?

Accepted Answer

2√7

Answer

√52

Answer

4√3

Answer

√28

Question 5

The sum of the first n terms of an arithmetic sequence is Sₙ = 3n² + 2n. What is the 5th term of the sequence?

Accepted Answer

29

Answer

35

Answer

27

Answer

32

Question 6

A bag contains 3 red and 5 blue balls. Two balls are drawn at random without replacement. What is the probability that both are red?

Accepted Answer

3/28

Answer

1/8

Answer

3/56

Answer

6/64

Question 7

The point P(3, -1) is reflected across the line y = x. What are the coordinates of the image P'?

Accepted Answer

(-1, 3)

Answer

(3, 1)

Answer

(-3, 1)

Answer

(1, -3)