EJU EJU Mathematics Course 1 Practice 2

Question 1

Solve the inequality x² - 3x - 10 < 0. Which interval represents all solutions?

Accepted Answer

-2 < x < 5

Answer

x < -2 or x > 5

Answer

-5 < x < 2

Answer

x < -5 or x > 2

Question 2

If sin θ = 3/5 and 0 < θ < π/2, what is tan θ?

Accepted Answer

3/4

Answer

4/3

Answer

3/5

Answer

5/3

Question 3

A geometric sequence has first term a = 2 and common ratio r = 3. What is the sum of the first 4 terms?

Accepted Answer

80

Answer

26

Answer

54

Answer

162

Question 4

A data set has values: 2, 4, 4, 4, 6, 8, 8, 8, 10. What is the standard deviation?

Accepted Answer

√(64/9)

Answer

√8

Answer

8/3

Answer

2√3

Question 5

Two vectors are given: a⃗ = (3, 4) and b⃗ = (1, -2). What is the dot product a⃗ · b⃗?

Accepted Answer

-5

Answer

5

Answer

11

Answer

-11

Question 6

The line through points (1, 2) and (4, 8) has slope m. What is m?

Accepted Answer

2

Answer

3

Answer

6

Answer

1/2

Question 7

In how many ways can 4 students be chosen from a group of 7 to form a committee?

Accepted Answer

35

Answer

28

Answer

21

Answer

70