# Top 10 6th Grade PARCC Math Practice Questions

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## 6th Grade PARCC 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 are $$45 ml$$ of alcohol, what is the volume of the solution?

A. $$270 ml$$

B. $$420 ml$$

C. $$750 ml$$

D. $$1,200 ml$$

## Best 6th Grade PARCC Math Prep Resource for 2022

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