# Top 10 Grade 6 Common Core Math Practice Questions ## Grade 6 Common Core 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 Grade 6 Common Core Math Prep Resource for 2020

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

### The Best Books to Ace the Grade 6 Common Core Math Test 32% OFF

X

## How Does It Work? ### 1. Find eBooks

Locate the eBook you wish to purchase by searching for the test or title.  ### 3. Checkout

Complete the quick and easy checkout process. ## Why Buy eBook From Effortlessmath? Save up to 70% compared to print  Help save the environment  Over 2,000 Test Prep titles available Over 80,000 happy customers Over 10,000 reviews with an average rating of 4.5 out of 5  