Top 10 Grade 6 PSSA Math Practice Questions

Top 10 Grade 6 PSSA Math Practice Questions

The best way to help your student prepares for the Grade 6 PSSA Math test is to work through as many Math practice questions as possible. Here are the top 10 Grade 6 PSSA Math practice questions to help students review the most important Grade 6 PSSA Math concepts. These Grade 6 PSSA Math practice questions are designed to cover Math topics that are found on the actual test. The questions have been fully updated to reflect the latest 2020 Grade 6 PSSA guidelines. Answers and full explanations are provided at the end of the post.

Help your students start their Grade 6 PSSA Math test prep journey right now with these sample Grade 6 PSSA Math questions.

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Grade 6 PSSA 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

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Answers:

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

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