2024 SAT Standardized Test Math Practice Paper 34

The 2024 SAT standardized test is a critical assessment for college admissions. The math section covers a wide range of topics. To help students prepare, we’ve created a practice paper. This paper includes various math problems to help students become familiar with the test format and excel in their exam.

 

1. What will it cost to tile a kitchen floor that is 12 feet wide by 20 feet long if the tile cost $8.91 per square yard?

A. 224.51
B. 237.6
C. 246.55
D. 271.38
E. 282.32

Correct Answer: B

Answer Explanation:

Converting feet to yards, the dimensions may be rewritten as 4 yards by 6 2/3 yards. Thus, the area of the floor is 26 2/3 yd’. Multiplication of this area by the cost per square yard gives the expression, 26 2/3?8.91, which equals 237.6. Thus, the cost is $237.60.

2. In a writing competition, the first place winner receives ½ of the prize money. The second runner up receives ¼ of what the winner won. What was the total amount of prize money distributed if the winner receives $6,000?

A. $6,000
B. $8,500
C. $12,000
D. $15,000
E. $18,500

Correct Answer: C

Answer Explanation:

The following equation may be solved for x: 6000=1/2 x. Solving for x gives x = 12,000. Thus, the amount of prize money distributed equaled $12,000.

3. You are lying 120 ft away from a tree that is 50 feet tall. You look up at the top of the tree. Approximately how far is your hear from the top of the tree in a straight line?

A. 50 feet
B. 75 feet
C. 120 feet
D. 130 feet
E. 150 feet

Correct Answer: D

Answer Explanation:

The distance may be determined by writing and solving the following equation for c: 502+1202=c2. c = 130, thus the distance is 130 feet.

4. A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist’s average rate for the round trip in miles per hour?

A. 8.1
B. 8.3
C. 8.6
D. 8.9
E. 9.0

Correct Answer: D

Answer Explanation:

The average rate for the round trip is the total distance traveled divided by the total travel time. Distance traveled=2x. Travel time=x/10+x/8=4x/40+5x/40=9x/40. Average Rate=2xx9x/40=(2xx40)/9x=80/9 = approximately 8.9 mph.

5. If edging cost $2.32 per 12-inch stone, and you want a double layer of edging around your flower bed that is 6 yards by 1 yard. How much will edging you flower bed cost?

A. $32.48
B. $64.96
C. $97.44
D. $129.92
E. $194.88

Correct Answer: E

Answer Explanation:

The length is equal to 216 inches. The width is equal to 36 inches. So, the length may be covered by 18 12-inch stones, while the width may be covered by 3 12-inch stones. A total of 42 stones is needed for one layer, and 84 stones need for two layers. Multiplication of 84 by $2.32 gives 194.88. Thus, the total cost is $194.88.

6. If 3x=6x-15 then x + 8=

A. 5
B. 10
C. 11
D. 12
E. 13

Correct Answer: E

Answer Explanation:

The equation may be solved for x by first subtracting 6x from both sides of the equation. Doing so gives -3x = -15, where x = 5. Substituting 5 for x into the second expression gives 5 + 8, which equals 13.

7. The number of milliliters in 1 liter is

A. 10,000
B. 1,000
C. 0.1
D. 0.01
E. 0.001

Correct Answer: B

Answer Explanation:

There are 1,000 milliliters in 1 liter.

8. The cost to ride on a ferry is $5.00 per vehicle and driver with an additional cost of 50 cents per passenger. If the charge to get on the ferry is $6.50, how many people were in the vehicle?

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

Correct Answer: D

Answer Explanation:

The problem may be modeled with the equation, 6.50 = 5.00 + 0.50x, where x represents the number of passengers. Solving for x gives x = 3. Thus, there were 3 passengers, plus 1 driver, for a total of 4 people in the vehicle.

9. What is 1/9 of 9?

A. 1/9
B. 0
C. 1
D. 2
E. 3

Correct Answer: C

Answer Explanation:

This problem may be represented as 1/9.9, which equals 1.

10. In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?

A. 3
B. 7
C. 8
D. 9
E. 11

Correct Answer: C

Answer Explanation:

Taking out 3 of each color will ensure that he has 1 of each color. Thus, he needs to take out 9 marbles, in all.


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