Top 10 6th Grade STAAR 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?
\(-8 \leq 5x – 8 < 2\)

A.

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 are 45 ml of alcohol, what is the volume of the solution?

A. 270 ml

B. 420 ml

C. 750 ml

D. 1,200 ml

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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 boys 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 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 STAAR Math test?

The Most Comprehensive Review for 6th-Grade Students

Recommended EffortlessMath Books

For a workbook that pairs with this page, Mastering Grade 6 Math walks your sixth grader through every grade-6 topic with worked examples and plenty of practice. For more story-problem reps, Mastering Grade 6 Math Word Problems is the matching word-problem book.

Frequently Asked Questions

What’s on the STAAR Grade 6 math test?

Four reporting categories: Numerical Representations and Relationships (about 18%), Computations and Algebraic Relationships (about 38% – the biggest chunk), Geometry and Measurement (about 25%), and Data Analysis and Personal Financial Literacy (about 18%). Personal Financial Literacy is the part most parents don’t expect – it’s a Texas-specific addition.

How long is the STAAR Grade 6 math test?

One sitting of about 4 hours, though most students finish in 2-3 hours. There are roughly 38 questions: mostly multiple choice plus griddable (free-response number) items. Pacing isn’t usually the problem at grade 6; reading carefully is.

Is STAAR the same as Common Core?

No – Texas uses TEKS, not Common Core. The math content at grade 6 overlaps heavily (ratios, fractions, equations, geometry), but TEKS adds Personal Financial Literacy and uses slightly different terminology. Most Common Core practice transfers fine; just expect a few finance-flavored questions on STAAR.

What’s Personal Financial Literacy on STAAR Grade 6?

Topics include comparing credit and debit cards, calculating simple interest, understanding why people pay sales tax, and balancing a budget. Example: “You earn \(\$200\) and spend \(\$150\). What percent did you save?” \(50/200 = 25\%\). Two or three questions on the test usually touch finance.

How do I find a unit rate?

Divide so the second quantity becomes 1. If \(\$15\) buys 5 books, the unit rate is \(15/5 = \$3\) per book. Unit rates are big on STAAR Grade 6 – they show up in word problems about gas mileage, hourly pay, and unit price comparisons. The fastest way is just “divide the total by the count.”

How do I divide fractions on STAAR?

Keep, change, flip. Keep the first fraction, change \(\div\) to \(\times\), flip the second fraction. \(\dfrac{2}{3} \div \dfrac{4}{5} = \dfrac{2}{3} \times \dfrac{5}{4} = \dfrac{10}{12} = \dfrac{5}{6}\). Fraction division is one of the most-tested grade-6 skills – expect at least one question.

What equations and inequalities are on the grade-6 test?

One-step and a few two-step equations and inequalities. Example: “Solve \(2x + 4 < 14\)": subtract 4 from both sides to get \(2x < 10\), then divide both sides by 2 to get \(x < 5\). Practice graphing the solution on a number line with an open circle (for \(<\) or \(>\)) or a closed circle (for \(\leq\) or \(\geq\)). STAAR likes to ask kids to match an inequality with the right number-line graph.

What geometry shows up at grade 6 in Texas?

Area of triangles, parallelograms, and trapezoids; volume of rectangular prisms (including those with fractional edges); and writing equations to find missing dimensions. Example: a rectangular prism with edges \(2\), \(3\), and \(\dfrac{1}{2}\) has volume \(2 \times 3 \times \dfrac{1}{2} = 3\) cubic units. Practice volume formulas – they’re a big chunk.

How should we use these 10 questions for practice?

First, your child works each one without help. Then go through the worked solutions together, focusing on the steps. Two days later, redo any missed question from scratch – if it sticks, you’re good; if not, click into the related lesson before moving on. Spaced practice beats cramming.

Where can we get more STAAR Grade 6 practice?

EffortlessMath has STAAR Grade 6 full-length practice tests, the Mastering Grade 6 Math workbook, and a focused Grade 6 Math Word Problems book. The Related Lessons section below links to step-by-step explanations of the biggest sixth-grade skills.

Related EffortlessMath Lessons

If a topic on this page feels rusty, these short lessons go deeper:

• How to find the percent of a number
• How to solve percent of change
• How to add and subtract fractions
• How to multiply fractions
• How to solve multi-step word problems