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Fiyin: Smartmathz Periodic Assessment: MATH AUGUST 2025

Fiyin: Smartmathz Periodic Assessment: MATH AUGUST 2025

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Question 1 of 20

1. Question
1. At the beginning of a trip, the tank of Chloe’s car was filled with 12 gallons of gas. When she travels constantly on the highway 60 miles per hour, the car consumes 1 gallon of gas per 35 miles. If she travelled 5 hours and 15 minutes on the highway with a constant speed of 60 miles per hour, how many gallons of gas are left in the tank?
A) 3
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B) 4
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C) 5
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D) 6
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Question 2 of 20

2. Question
1. To join Eastlake Country Club, one must pay d dollars for a one-time membership fee and pay w dollars for a monthly fee. If the first month is free for the club, what is the total amount, y, x months after a person joined the club, in terms of d, w, and x?
A) y=wx-1+d
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B) y=w(x-1) +d
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C) y=d(x-1) +d
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D) y=dx-1+w
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Question 3 of 20

3. Question
1. An empty 1,200-gallon tank is filled with water at a rate of 6 gallons of water per minute. At the same time, another 1,200-gallon tank full of water is being drained at a rate of 9 gallons per minute. How many minutes will it take for the amount of water in both tanks to become the same?
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Question 4 of 20

4. Question
1. In 2005 a house was purchased for $280,000 and in 2013 it was sold at $334,000. Assuming that the value of the house increased at a constant annual rate what will be the price of the house in the year 2018?
A) $354,250
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B) $361,000
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C) $367,750
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D) $374,500
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Question 5 of 20

5. Question
1. Apex Car Rental company charges a flat fee of $40.00 per day plus $0.75 per mile to rent a car. Jason Car Rental company charges a flat fee of $64.00 per day plus $0.60 per mile to rent a car. If a car is rented for three days, at how many miles would the rental charges of the two companies be the same?
A) 480
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B) 450
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C) 420
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D) 380
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Question 6 of 20

6. Question
1. It took Sara a total of 42 minutes to jog from home to the park and back again, by the same path. If she averaged 8 miles per hour going to the park and 6 miles per hour coming back, what is the distance from her home to the park?
A) 2.4 miles
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B) 2.8 miles
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C) 3.2 miles
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D) 3.6 miles
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Question 7 of 20

7. Question
1. Carl drove from his home to the beach at an average speed of 50 mph and returned home along the same route at an average speed of 30 mph. His total driving time for the trip was 2 hours. Solving which of the following systems of equations yields, x, the time it took for Carl to drive to the beach and, y, the time spent for the return trip?
A) x=y+2 50x=30y
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B) x+y=2 30x=50y
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C) x+y=2 50x=30y
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D) y=x+2 30x=50y
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Question 8 of 20

8. Question
1. A car averages 18 miles per gallon of gas for city driving and 27 miles per gallon of gas for highway driving. What is the total number of gallons of gas needed to drive 6x miles in the city and 18x miles on the highway?
A) x
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B) 2x
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C) 3.5x
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D) 4.5x
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Question 9 of 20

9. Question
1. The average (arithmetic mean) of a set of n numbers is 19. If the average of the 6 greatest numbers in the set is 29 and the average of the remaining numbers is 7, what is the value of n?
A) 9
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B) 10
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C) 11
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D) 12
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Question 10 of 20

10. Question
1. The arithmetic mean of m, n, and -1 is 0. What is the value of m+n?
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Question 11 of 20

11. Question
1. A student has an average (arithmetic mean) score of 86 points for 4 tests. What total score does this student need in the next two tests in order to have an average of 90 for all 6 tests?
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Question 12 of 20

12. Question
1. A tree is 8 feet tall and grows 8 inches each year. In how many years will the tree reach a height of 30 feet?
A) 27
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B) 33
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C) 45
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D) 52
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Question 13 of 20

13. Question
1. Steve is going to paint a wall that measures 9 feet by 12 feet. If one gallon of paint is needed for each s square foot of wall and each gallon costs g dollars, in terms of s and g how much does it cost to paint the entire wall?
A) $\frac{108}{gs}$
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B) $\frac{gs}{108}$
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C) $\frac{108s}{g}$
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D) $\frac{108g}{s}$
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Question 14 of 20

14. Question
1. The length of a rectangle is 8 inches longer than the width. If the ratio of the length to perimeter is 5:16, what is the area of the rectangle?
A. $160~\text{in}^2$

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B. $180~\text{in}^2$
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C. $240~\text{in}^2$
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D. $280~\text{in}^2$
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Question 15 of 20

15. Question
1. If 12 grams of coffee costs x dollars and each gram makes y cups of coffee, what is the cost of one cup of coffee in terms of x and y?
$\frac{12y}{x}$

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$\frac{y}{12x}$
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$\frac{12x}{y}$
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$\frac{x}{12y}$
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Question 16 of 20

16. Question
1. If 20 machines produce 1,240 printers in a day, how many more machines are needed to produce 1,984 printers in a day?
A) 12
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B) 20
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C) 24
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D) 32
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Question 17 of 20

17. Question
1. Multiply each entry by 2 on the original list. Let and be the new mean and the new standard deviation of the data set. Which of the following is true?
$m_p = 2m \quad \text{and} \quad d_p = 2d$

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$m_p = m \quad \text{and} \quad d_p = d$
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$m_p = 2m \quad \text{and} \quad d_p = d$
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$m_p = m \quad \text{and} \quad d_p = 2d$
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Question 18 of 20

18. Question
1. Let m be the mean of the data set above. What is the value of m?
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Question 19 of 20

19. Question
1. Let d be the standard deviation of the data set above. What is the value of d? (Round your answer to the nearest hundredth)
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Question 20 of 20

20. Question
1. Add 2 to each entry on the original list. Let and be the new mean and the new standard deviation of the data set. Which of the following is true?
$m_a = m+2 \quad \text{and} \quad d_a = d+2$

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$m_a = m \quad \text{and} \quad d_a = d+2$
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$m_a = m+2 \quad \text{and} \quad d_a = d$
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$m_a = m\quad \text{and} \quad d_a = d$
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