MATHEMATICS PRACTICE QUESTIONS
1(2025\2026)
1. An instrument store gives a 10% discount to all students off the original cost of
an instrument. During a back to school sale an additional 15% is taken off the
discounted price. Julie, a student at the local high school, purchases a flute for
$306. How much did it originally cost?
A. $325
B. $375
C. $400
D. $408
E. $425
The correct answer is C!
The equation x−0.10x−0.15(x−0.10x)=306 may be used to solve the problem.
Solving for x gives 0.90x–0.15x+0.015x=306, where x=400.
Thus, the original price was $400.
2. If y(x−1)=z, what does x equal?
A. y−z
B. zy+1
C. y(z−1)
D. z(y−1)
E. 1−zy
The correct answer is B!
The equation may be solved by first distributing y across the expression x–1 on the left
side of the equation. Doing so gives xy–y=z.
Adding y to both sides of the equation gives xy=z+y.
Finally, division of both sides of the equation by y gives x=(z+y)÷y or x=zy+1.
3. Which of the following values is NOT equal to 34(58+9)?
A. 34×67
B. 58(34+9)
C. 34×58+34×9
D. 1,972+306
E. (9+58)34
The correct answer is B!
This problem illustrates the distributive property of multiplication over addition. The
factor being distributed may not change.
, 4. Two angles of a triangle measure 15° and 85°. What is the measure for the third
angle?
A. 50°
B. 55°
C. 60°
D. 80°
E. 90°
The correct answer is D!
The measure of the third angle of the triangle is equal to 180°−(15°+85°), or 80°.
5. If 5 oz is equal to 140 g, then 2 lb of ground meat is equal to how many grams?
A. 863
B. 878
C. 896
D. 915
E. 932
The correct answer is C!
Since there are 32 ounces in 2 pounds (16 ounces = 1 pound), the following proportion
may be written like this:
5140=32x
Solving for x gives x=896. Thus, there are 896 grams in 2 pounds of meat.
6. Which year did the most children take swimming lessons?
A. 1990
B. 1991
C. 1992
D. 1994
E. 1995
The correct answer is E!
1(2025\2026)
1. An instrument store gives a 10% discount to all students off the original cost of
an instrument. During a back to school sale an additional 15% is taken off the
discounted price. Julie, a student at the local high school, purchases a flute for
$306. How much did it originally cost?
A. $325
B. $375
C. $400
D. $408
E. $425
The correct answer is C!
The equation x−0.10x−0.15(x−0.10x)=306 may be used to solve the problem.
Solving for x gives 0.90x–0.15x+0.015x=306, where x=400.
Thus, the original price was $400.
2. If y(x−1)=z, what does x equal?
A. y−z
B. zy+1
C. y(z−1)
D. z(y−1)
E. 1−zy
The correct answer is B!
The equation may be solved by first distributing y across the expression x–1 on the left
side of the equation. Doing so gives xy–y=z.
Adding y to both sides of the equation gives xy=z+y.
Finally, division of both sides of the equation by y gives x=(z+y)÷y or x=zy+1.
3. Which of the following values is NOT equal to 34(58+9)?
A. 34×67
B. 58(34+9)
C. 34×58+34×9
D. 1,972+306
E. (9+58)34
The correct answer is B!
This problem illustrates the distributive property of multiplication over addition. The
factor being distributed may not change.
, 4. Two angles of a triangle measure 15° and 85°. What is the measure for the third
angle?
A. 50°
B. 55°
C. 60°
D. 80°
E. 90°
The correct answer is D!
The measure of the third angle of the triangle is equal to 180°−(15°+85°), or 80°.
5. If 5 oz is equal to 140 g, then 2 lb of ground meat is equal to how many grams?
A. 863
B. 878
C. 896
D. 915
E. 932
The correct answer is C!
Since there are 32 ounces in 2 pounds (16 ounces = 1 pound), the following proportion
may be written like this:
5140=32x
Solving for x gives x=896. Thus, there are 896 grams in 2 pounds of meat.
6. Which year did the most children take swimming lessons?
A. 1990
B. 1991
C. 1992
D. 1994
E. 1995
The correct answer is E!
