ACT/SAT Prep Math Questions Set #1

Question 1

On a standard xy-graph, what is the distance between (–2, 4) and (1, –2)?

Accepted Answer

6.71

Question 2

Which of the following inequalities is represented by the following number line?

Accepted Answer

–5 ≤x< 5

Question 3

#15

Accepted Answer

(2,-4)

Question 4

#11

Accepted Answer

18

Question 5

Sam can paint 5 identical rooms during one 6-hour shift. In how long does he paint each room?

Accepted Answer

72 minutes

Question 6

A square field has an area of 22,500 sq. feet. What's the diagonal distance across the field?

Accepted Answer

212 feet

Question 7

#14

Accepted Answer

45 cm2

Question 8

If 12% of x is 45, what is 20% of x?

Accepted Answer

75

Question 9

Which of the following is equal to (n– 3)2 if n= 11?

Accepted Answer

(n+ 5)(n– 7)

Question 10

#13

Accepted Answer

2

Question 11

In the following triangle, what is the value of sec n?

Accepted Answer

(sqrt 5)/2

Question 12

If 5x+ 3 = 10x– 17, what is the value of x?

Accepted Answer

4

Question 13

If Ron scored 74 points in three basketball games, then his average score is calculated:

Accepted Answer

74/3

Question 14

#16

Accepted Answer

f(m) = 0.25m-200

Question 15

In the following figure, the two triangles are similar. What is the value of y in terms of x?

Accepted Answer

x+4

Question 16

If 14y – 4 = 24y + 26, then 12y =

Accepted Answer

-36

Question 17

#12

Accepted Answer

(p+ t)°

Question 18

Which of the following numbers completes the sequence 3, 8, 14, 21, 29, ___?

Accepted Answer

38

Question 19

The square root of a quarter of the product of 4, 2, and 8 is what number?

Accepted Answer

4

Question 20

What is the maximum area of a four-sided plane with a perimeter of 12 inches?

Accepted Answer

8 square inches

Question 21

If pq–3r= 2, what is the value of q in terms of p and r?

Accepted Answer

(3r+2)/p

Question 22

What is the slope of a line on that passes through the point (1, 3) and (4, –3)?

Accepted Answer

-1/2

Questions 22