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 6th grade Michigan math test?

Officially the M-STEP (Michigan Student Test of Educational Progress); many districts still call it MEAP. It is aligned to Michigan Academic Standards (Common Core-aligned).

Which 6th grade math topics are tested most?

Ratios, unit rates, percent of a number, multi-digit decimal arithmetic, dividing fractions by fractions, GCF and LCM, negative numbers and the coordinate plane, one-step equations and inequalities, area of triangles and quadrilaterals, volume of right rectangular prisms, basic statistics.

How long is the 6th grade math test?

About 90-120 minutes split across two sessions.

Are calculators allowed?

Partially. First session is calculator-prohibited; later sessions allow the embedded online basic scientific calculator.

How do I divide one fraction by another?

Multiply by the reciprocal: (a/b) ÷ (c/d) = (a/b)(d/c). Example: (3/4) ÷ (2/5) = (3/4)(5/2) = 15/8.

What is a unit rate?

A ratio where the second quantity is 1. 40 miles per hour is the unit rate from 120 miles in 3 hours.

How do I find the area of a triangle?

A = (1/2) base times height, where the height is perpendicular to the base.

How are negative numbers tested in 6th grade?

On the number line — locating, comparing, and finding absolute values. Full operations with negatives wait until 7th grade.

How do I solve a one-step equation?

Use the inverse operation. For x + 5 = 12: subtract 5, x = 7.

How should we prepare?

Take one full-length practice test, then review every miss with the underlying concept named. Target the 2-3 weakest topics with focused practice.

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.