Top 10 6th Grade OST Math Practice Questions
Have your students studied the 6th Grade OST Math test content well? If so, now is the time to practice! Using 10 of the best 6th Grade OST Math practice questions prepared in this article, your students can increase their readiness to take the 6th Grade OST Math test and get the excellent score they want. These questions have been fully updated to reflect the latest 2026 6th Grade OST Math guidelines. Answers and full explanations are provided at the end of the post.
The Absolute Best Book to Ace the OST Math Test
6th Grade OST Math Practice Questions
1- Which expression is equivalent to \(5(12x-16)\)?
A. \(-20\)
B. \(-20x\)
C. \(60x – 16\)
D. \(60x – 80\)
2- To produce a special concrete, for every 13 kg of cement, 3 liters of water is required. Which of the following ratios is the same as the ratio of cement to liters of water?
A. 91: 21
B. 14: 4
C. 39: 6
D. 9: 39
3- What is the value of \(x\) in the following equation: \(-60=115-x\)
A. 175
B. \(-175\)
C. 55
D. \(-55\)
4- Which of the following graphs represents the following inequality?
\(-8≤5x-8≤2\)
A.
B.
C.
D.
5- The ratio of boys to girls in a school is 4:5. If there are 765 students in the school, how many boys are in the school?
A. 612
B. 510
C. 425
D. 340
6- Martin earns $20 an hour. Which of the following inequalities represents the amount of time Martin needs to work per day to earn at least $100 per day?
A. \(20t≥100\)
B. \(20t≤100\)
C. \(20+t≥100\)
D. \(20+t≤100\)
7- \((55+5)÷12\) is equivalent to …
A. \(60÷3.4\)
B. \( \frac{55}{12}+5\)
C. \((2×2×3×5)÷(3×4)\)
D. \( (2×2×3×5)÷3+4\)
8- What is the value of the expression \(6(2x-3y)+(3-2x)^2\), when \(x=2 \) and \(y=-1\)?
A. \(-23\)
B. 41
C. 43
D. 49
9- Round \(\frac{215}{7}\) to the nearest tenth.
A. 31
B. 30.8
C. 30.7
D. 30
10- A chemical solution contains \(6\%\) alcohol. If there is 45 ml of alcohol, what is the volume of the solution?
A. 270 ml
B. 420 ml
C. 750 ml
D. 1,200 ml
Best 6th Grade OST Math Prep Resource for 2026
Answers:
1- D
\(5(12x-16)=(5×12x)-(5×16)=(5×12)x-(5×16)=60x-80\)
2- A
\(91 : 21 = 13 : 3\)
\(13×7=91\)
And \( 3×7=21\)
3- A
\(-60 = 115 – x\)
First, subtract 115 from both sides of the equation. Then:
\(-60 – 115=115 – 115- x→-175 = – x\)
Multiply both sides by \((-1)\):
\(→x = 175\)
4- B
\(-8≤5x-8<2 →\) (add 8 all sides)\(-8+8≤5x-8+8<2+8 →0≤5x<10→\) (divide all sides by 5) \(0≤x<2\)
5- D
The ratio of boy to girls is 4:5. Therefore, there are 4 boys out of 9 students. To find the answer, first, divide the total number of students by 9, then multiply the result by 4.
\(765 ÷ 9 = 85 ⇒ 85 × 4 = 340\)
6- A
For one hour he earns $20, then for t hours he earns $20t. If he wants to earn at least $100, therefore the number of working hours multiplied by 20 must be equal to 100 or more than 100.
\(20t≥100\)
7- C
\((55+5)÷(12)=(60)÷(12)\)
The prime factorization of 60 is: \(2×2×3×5 \)
The prime factorization of 12 is: \( 3×4 \)
Therefore: \((60)÷(12)=(2×2×3×5)÷(3×4)\)
8- C
Plug in the value of \(x\) and \(y\) and use the order of operations rule.
\(x=2\) and \(y=-1\)
\(6(2x-3y)+(3-2x)^2=6(2(2)-3(-1))+(3-2(2))^2=6(4+3)+(-1)^2 = 42+1=43\)
9- C
\(\frac{215}{7} ≅ 30.71 ≅ 30.7\)
10- C
\(6\%\) of the volume of the solution is alcohol. Let \(x\) be the volume of the solution.
Then: \(6\% \space of \space x = 45 \space ml ⇒ 0.06 x = 45 ⇒ x = 45 ÷ 0.06 = 750\)
Looking for the best resource to help you succeed on the Grade 6 OST Math test?
The Most Comprehensive Review for 6th-Grade Students
Related to This Article
More math articles
- Finding Derivatives Made Easy! Derivative of A Chain of Functions
- How to Multiply a Polynomial and a Monomial? (+FREE Worksheet!)
- 4th Grade IAR Math Practice Test Questions
- Best Math Solver Apps for Android and iPhone
- FREE 8th Grade SBAC Math Practice Test
- A Comprehensive Guide to the Properties of Continuity in Functions
- ATI TEAS 7 Math Practice Test Questions
- Exploring Geometry Fundamentals: Study of Points, Lines, and Planes
- Unlocking the Secrets of Similar Polygons: Shape, Size, and Proportions!
- The Ultimate ISEE Upper Level Math Formula Cheat Sheet
What people say about "Top 10 6th Grade OST Math Practice Questions - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.