Top 10 6th Grade MEAP Math Practice Questions

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

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Answers:

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 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: \(6\% \space of \space x = 45 \space ml ⇒ 0.06 x = 45 ⇒ x = 45 ÷ 0.06 = 750\)

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Frequently Asked Questions

What is the M-STEP 6th grade math test?

The M-STEP is Michigan’s spring state assessment, and it replaced the older MEAP, so the 6th grade math test you see today is an M-STEP test. It checks the Michigan grade 6 standards: ratios and unit rates, dividing fractions, decimal arithmetic, negative numbers, expressions and one-step equations, area and volume, and basic statistics. Results come back on four levels, from Not Proficient to Advanced.

Is there M-STEP practice for 6th grade math?

Yes. Michigan posts sample test items for M-STEP grade 6 mathematics on its state testing portal, and they run in the same online tools your child will use on test day. Pair those with mixed practice like the ten questions here. For example, if the boys-to-girls ratio is 4:5 in a school of 765, divide 765 by 9 to get 85, then multiply by 4 for 340 boys.

What should a 6th grader know in math?

By the end of sixth grade, students should work comfortably with ratios and rates, divide fractions by fractions, do all four operations with multi-digit decimals, place negative numbers on a number line and coordinate plane, write and solve one-step equations, and find area and volume. Those are exactly the skills the Michigan M-STEP checks in grade 6, so they make a good checklist.

What does 6th grade math consist of?

Sixth grade math is built around five areas: ratios and proportional relationships, the number system (fractions, decimals, negatives), expressions and equations, geometry, and statistics. It is the bridge from arithmetic to pre-algebra. A typical new skill is evaluating an expression such as 6(2x − 3y) + (3 − 2x)² when x = 2 and y = −1, which gives 42 + 1 = 43.

How do you study for a 6th grade math test?

Start with a short mixed quiz to find weak topics, then spend 15 to 20 minutes a day on just those skills. Have your sixth grader explain each step out loud, since talking through a problem exposes gaps fast. A week before the M-STEP, do one timed practice set and rework every missed question until the reason for the mistake is clear.

How can I help my 6th grader with math?

Ask your child to teach you how they solved a problem; you will quickly see what they understand. Use everyday moments for practice, like unit prices at the store (a $4.80 pack of 6 is $0.80 each) or percent discounts. Keep sessions short and regular, praise effort over speed, and check in with the teacher about which grade 6 standards need extra work.

Related Lessons You May Like

• How to find the percent of a number
• How to add and subtract fractions with unlike denominators
• How to multiply and divide decimals
• How to solve ratio word problems
• How to solve multi-step word problems

If you want a workbook for these questions, Mastering Grade 6 Math walks every standard. Mastering Grade 6 Math Word Problems adds word-problem practice.