HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #2575 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for \(\displaystyle x\):

\(\displaystyle 11x=198\)

 

Possible Answers:

\(\displaystyle 18\)

\(\displaystyle 11\)

\(\displaystyle 13\)

\(\displaystyle 23\)

\(\displaystyle 7\)

Correct answer:

\(\displaystyle 18\)

Explanation:

Divide each side by 11:

\(\displaystyle 11x\div 11=198\div 11\)

\(\displaystyle x=18\)

Answer: \(\displaystyle 18\)

 

Example Question #2576 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for \(\displaystyle x\):

\(\displaystyle 27x=81\)

Possible Answers:

\(\displaystyle 3\)

\(\displaystyle 9\)

\(\displaystyle 18\)

\(\displaystyle 6\)

\(\displaystyle 27\)

Correct answer:

\(\displaystyle 3\)

Explanation:

Divide each side by 27:

\(\displaystyle 27x\div 27=81\div 27\)

\(\displaystyle x=3\)

Answer: \(\displaystyle 3\)

 

 

Example Question #2577 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for \(\displaystyle x\):

\(\displaystyle 34x=204\)

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 6\)

\(\displaystyle 9\)

\(\displaystyle 12\)

\(\displaystyle 11\)

Correct answer:

\(\displaystyle 6\)

Explanation:

Divide each side by 34:

\(\displaystyle 204x\div 34=204\div 34\)

\(\displaystyle x=6\)

Answer: \(\displaystyle 6\)

 

Example Question #2578 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve:

\(\displaystyle 5^{2}*25=\)

Possible Answers:

\(\displaystyle 562\)

\(\displaystyle 652\)

\(\displaystyle 265\)

\(\displaystyle 625\)

\(\displaystyle 252\)

Correct answer:

\(\displaystyle 625\)

Explanation:

First, solve the exponential term:

\(\displaystyle 5^{2}=25\)

\(\displaystyle 5^{2}*25=25*25\)

Then multiply:

\(\displaystyle 25*25=625\)

Answer: \(\displaystyle 625\)

Example Question #2579 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve:

\(\displaystyle 6^{3}\div 4=\)

Possible Answers:

\(\displaystyle 216\)

\(\displaystyle 54\)

\(\displaystyle 45\)

\(\displaystyle 62\)

\(\displaystyle 220\)

Correct answer:

\(\displaystyle 54\)

Explanation:

First, solve the exponential term:

\(\displaystyle 6^{3}=216\)

\(\displaystyle 6^3\div4=216\div4\)

Then divide:

\(\displaystyle 216\div 4=54\)

Answer: \(\displaystyle 54\)

 

Example Question #2580 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve:

\(\displaystyle 7^{2}\div 1=\)

Possible Answers:

\(\displaystyle 49\)

\(\displaystyle 56\)

\(\displaystyle 7\)

\(\displaystyle 27\)

\(\displaystyle 14\)

Correct answer:

\(\displaystyle 49\)

Explanation:

First, solve the exponential term:

\(\displaystyle 7^{2}=49\)

\(\displaystyle 7^2\div1=49\div1\)

Then divide:

\(\displaystyle 49\div 1=49\)

Answer: \(\displaystyle 49\)

Example Question #251 : Equations

Solve:

\(\displaystyle 4^{3}+110=\)

Possible Answers:

\(\displaystyle 106\)

\(\displaystyle 182\)

\(\displaystyle 164\)

\(\displaystyle 115\)

\(\displaystyle 174\)

Correct answer:

\(\displaystyle 174\)

Explanation:

First, solve the exponential term:

\(\displaystyle 4^{3}=64\)

\(\displaystyle 4^{3}+110=64+110\)

Then add:

\(\displaystyle 64+110=174\)

Answer: \(\displaystyle 174\)

Example Question #252 : Equations

Solve:

\(\displaystyle 8^{3}\times 4=\)

Possible Answers:

\(\displaystyle 8024\)

\(\displaystyle 2048\)

\(\displaystyle 2408\)

\(\displaystyle 4028\)

Correct answer:

\(\displaystyle 2048\)

Explanation:

First solve the exponents:

\(\displaystyle 8^{3}=512\)

Then solve the equation:

\(\displaystyle 512*4=2048\)

Answer: \(\displaystyle 2048\)

Example Question #451 : Algebra

Solve:

\(\displaystyle 1^{5}\times 12=\)

Possible Answers:

\(\displaystyle 13\)

\(\displaystyle 11\)

\(\displaystyle 17\)

\(\displaystyle 12\)

Correct answer:

\(\displaystyle 12\)

Explanation:

First solve the exponents:

\(\displaystyle 1^{5}=1\)

Then solve the equation:

\(\displaystyle 1*12=12\)

Answer: \(\displaystyle 12\)

 

Example Question #452 : Algebra

Solve:

\(\displaystyle 2^{4}\times 3=\)

Possible Answers:

\(\displaystyle 18\)

\(\displaystyle 13\)

\(\displaystyle 48\)

\(\displaystyle 19\)

Correct answer:

\(\displaystyle 48\)

Explanation:

First solve the exponents:

\(\displaystyle 2^{4}=16\)

Then solve the equation:

\(\displaystyle 16*3=48\)

Answer: \(\displaystyle 48\)

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