Full Length HSPT Mathematics Practice Test
If you want to prepare for the HSPT Mathematics Practice Test? It’s time to taking a Full-length HSPT Mathematics Practice Test. It is the best way to simulate test day. To challenge your skills and simulate the full length HSPT Mathematics Practice Test day experience, score your tests using the answer keys.
Includes HSPT Math Prep Books, Workbooks, and Practice Tests
- eBook (PDF Format)
HSPT Mathematics
64 questions |
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| 1- | The sum of \(7\) numbers is greater than \(210\) and less than \(280\). Which of the following could be the average (arithmetic mean) of the numbers? |
| (A) | \(30\) |
| (B) | \(38\) |
| (C) | \(40\) |
| (D) | \(45\) |
| 2- | Which of the following is the equivalent of \(3^{4}\)? |
| (A) | \(3 \ \times 3 \ \times 3\) |
| (B) | \(3 \ \times 3 \ \div 3\) |
| (C) | \(81\) |
| (D) | \(72\) |
| 3- | \(- \ 20 \ + \ 5 \times (– \ 4) \ – \ \left[ \ 6 \ + \ 25 \times (- \ 6) \ \right] \div 2=\) ? |
| (A) | \(32\) |
| (B) | \(- \ 7\) |
| (C) | \(\frac{6}{7}\) |
| (D) | \(- \ 30\) |
| 4- | Which of the following fractions is the largest? |
| (A) | \(\frac{4}{5}\) |
| (B) | \(\frac{3}{2}\) |
| (C) | \(\frac{7}{9}\) |
| (D) | \(\frac{5}{3}\) |
| 5- | During a fund-raiser, each of the \(50\) members of a group sold candy bars. If each member sold an average of four candy bars, how many total bars did the group sell? |
| (A) | \(200\) |
| (B) | \(170\) |
| (C) | \(123\) |
| (D) | \(85\) |
| 6- | What's the next number in the series \(\left\{29, \ 25, \ 21, \ 17, \ ?\right\}\) |
| (A) | \(12\) |
| (B) | \(15\) |
| (C) | \(13\) |
| (D) | \(8\) |
| 7- | \(15 \ a\ + \ 25 = 160, \ a =\) ? |
| (A) | \(8\) |
| (B) | \(12\) |
| (C) | \(22\) |
| (D) | \(9\) |
| 8- | Which of the following is a multiple of \(7\)? |
| (A) | \(52\) |
| (B) | \(32\) |
| (C) | \(84\) |
| (D) | \(13\) |
| 9- | What's the least common multiple (LCM) of \(8\) and \(14\)? |
| (A) | \(112\) |
| (B) | \(56\) |
| (C) | \(8\) AND \(14\) HAVE NO COMMON MULTIPLES |
| (D) | \(96\) |
| 10- | Which of the following is the product of \(15\) and \(6\)? |
| (A) | \(90\) |
| (B) | \(45\) |
| (C) | \(72\) |
| (D) | \(14\) |
| 11- | A woman owns a dog walking business. If \(4\) workers can walk \(12\) dogs, how many dogs can \(6\) workers walk? |
| (A) | \(14\) |
| (B) | \(21\) |
| (C) | \(18\) |
| (D) | \(12\) |
| 12- | The distance between cities A and B is approximately \(2,500\) miles. If you drive an average of \(60\) miles per hour, how many hours will it take you to drive from city A to city B? |
| (A) | approximately \(38\) hours |
| (B) | approximately \(45\) hours |
| (C) | approximately \(42\) hours |
| (D) | approximately \(23\) hours |
| 13- | What’s the greatest common factor of the \(21\) and \(30\)? |
| (A) | \(5\) |
| (B) | \(3\) |
| (C) | \(15\) |
| (D) | \(7\) |
| 14- | How many \(\frac{1}{3}\) pound paperback books together weigh \(25\) pounds? |
| (A) | \(80\) |
| (B) | \(75\) |
| (C) | \(40\) |
| (D) | \(38\) |
| 15- | What’s the greatest common factor of the \(12, \ 18\) and \(32\)? |
| (A) | \(8\) |
| (B) | \(2\) |
| (C) | \(9\) |
| (D) | \(12\) |
| 16- | If \(5\) garbage trucks can collect the trash of \(25\) homes in a day. How many trucks are needed to collect in \(150\) houses? |
| (A) | \(22\) |
| (B) | \(18\) |
| (C) | \(35\) |
| (D) | \(30\) |
| 17- | Ashly and Billy have taken the same number of photos on their school trip. Ashly has taken \(4\) times as many as photos as Kevin and Billy has taken \(15\) more photos than Kevin. How many photos has Kevin taken? |
| (A) | \(5\) |
| (B) | \(7\) |
| (C) | \(9\) |
| (D) | \(6\) |
| 18- | If \(x = 4\), then \(\frac{4^5}{x} = \) |
| (A) | \(1,265\) |
| (B) | \(82\) |
| (C) | \(256\) |
| (D) | \(116\) |
| 19- | Which of the following is not a multiple of \(6\)? |
| (A) | \(12\) |
| (B) | \(21\) |
| (C) | \(36\) |
| (D) | \(24\) |
| 20- | \((p^2) \ . \ (p^3) =\) ___ |
| (A) | \(p^6\) |
| (B) | \(2 \ p^6\) |
| (C) | \(p^5\) |
| (D) | \(2 \ p^5\) |
| 21- | Which of the following is a prime number? |
| (A) | \(9\) |
| (B) | \(6\) |
| (C) | \(13\) |
| (D) | \(45\) |
| 22- | Solve for \(a: \ 6 \ a \ – \ 3= 9\) |
| (A) | \(0.25\) |
| (B) | \(2\) |
| (C) | \(1.45\) |
| (D) | \(5\) |
| 23- | \(\frac{(15 \ feet \ + \ 7 \ yards)}{4} =\) ___ |
| (A) | \(25\) feet |
| (B) | \(14\) feet |
| (C) | \(9\) feet |
| (D) | \(26\) feet |
| 24- | If \((5.2 \ + \ 3.3 \ +\ 2.5) \ x = x\), then what is the value of \(x\)? |
| (A) | \(0\) |
| (B) | \(\frac{1}{10}\) |
| (C) | \(2\) |
| (D) | \(15\) |
| 25- | The sum of two numbers is \(X\). if one of the numbers is \(7\), then two times the other number would be what? |
| (A) | \(2 \ x\) |
| (B) | \(2 \ x \ \times 7\) |
| (C) | \(2 \ (X \ - \ 7)\) |
| (D) | \(2 \ + \ X \ \times \ 7\) |
| 26- | Which symbol belongs in the box? \(0.325 \ \Box \ 0.0452\) |
| (A) | \(=\) |
| (B) | \(>\) |
| (C) | \(≤\) |
| (D) | \(<\) |
| 27- | Susan is \(8\) years older than her sister Mary, and Mary is \(4\) years younger than their brother Jimmy. If the sum of their ages is \(90\), how old is Mary? |
| (A) | \(22\) |
| (B) | \(30\) |
| (C) | \(26\) |
| (D) | \(14\) |
| 28- | While at work, Emily checks her email once every \(60\) minutes. In \(5\)-hour, how many times does she check her email? |
| (A) | \(4\) Times |
| (B) | \(7\) Times |
| (C) | \(6\) Times |
| (D) | \(5\) Times |
| 29- | A circle has a diameter of \(6\) inches. What is its approximate circumference? |
| (A) | \(18.84\) |
| (B) | \(5.35\) |
| (C) | \(8.20\) |
| (D) | \(9.45\) |
| 30- | Which symbol belongs in the box? \(0.0234 \ \Box \ 0.524\) |
| (A) | \(=\) |
| (B) | \(>\) |
| (C) | \(<\) |
| (D) | \(≥\) |
| 31- | If \(x = \frac{4}{3}\) then \(\frac{1}{x} =\) ? |
| (A) | \( \frac{3}{4}\) |
| (B) | \( \frac{4}{3}\) |
| (C) | \(3\) |
| (D) | \(4\) |
| 32- | Which of the following is NOT a factor of \(40\)? |
| (A) | \(5\) |
| (B) | \(8\) |
| (C) | \(16\) |
| (D) | \(8\) |
| 33- | Convert \(0.055\) to a percent. |
| (A) | \(5.5\%\) |
| (B) | \(55\%\) |
| (C) | \(0.55\%\) |
| (D) | \(0.6\%\) |
| 34- | What is \(6598.44231\) rounded to the nearest tenth? |
| (A) | \(6,598.442\) |
| (B) | \(6,598.5\) |
| (C) | \(6,598\) |
| (D) | \(6598.44\) |
| 35- | What is the place value of \(3\) in \(7.4537\)? |
| (A) | hundredths |
| (B) | ten thousandths |
| (C) | thousandths |
| (D) | hundred thousandths |
| 36- | In the simplest form, \(\frac{15}{20}\) is: |
| (A) | \(\frac{4}{3}\) |
| (B) | \(\frac{1}{2}\) |
| (C) | \(\frac{3}{4}\) |
| (D) | \(\frac{3}{2}\) |
| 37- | What number belong in the box? \(- \ 3 \ + \ \Box = 6\) |
| (A) | \(- \ 9\) |
| (B) | \(- \ 2\) |
| (C) | \(0\) |
| (D) | \(9\) |
| 38- | \(\frac{8}{22}\) is equal to: |
| (A) | \(0.28\) |
| (B) | \(0.45\) |
| (C) | \(0.36\) |
| (D) | \(1.25\) |
| 39- | What is the square root of \(25\)? |
| (A) | \(6\) |
| (B) | \(5\) |
| (C) | \(8\) |
| (D) | \(9\) |
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| 40- | If \(a = 3\) then \(a^{a} \ .\ a =\)? |
| (A) | \(81\) |
| (B) | \(658\) |
| (C) | \(1,269\) |
| (D) | \(45\) |
| 41- | If \(4.5 \ < \ x \ ≤ \ 7.0\), then \(x\) cannot be equal to: |
| (A) | \(6.5\) |
| (B) | \(6\) |
| (C) | \(7.5\) |
| (D) | \(5\) |
| 42- | If \(9 \ + \ 3 \ x \ ≤ \ 18\), then \(x \ ≤\) ? |
| (A) | \(5\) |
| (B) | \(5 \ x\) |
| (C) | \(3\) |
| (D) | \(3 \ x\) |
| 43- | Which of the following represents the reduced form for \(1.5\)? |
| (A) | \(1 \ \frac{1}{2}\) |
| (B) | \(1 \ \frac{5}{10}\) |
| (C) | \(\frac{15}{10}\) |
| (D) | \(\frac{15}{100}\) |
| 44- | The fraction \(\frac{2}{5}\) can also be written as which of the following? |
| (A) | \(\frac{5}{2}\) |
| (B) | \(0.45\) |
| (C) | \(0.4\) |
| (D) | \(1.4\) |
| 45- | \(5\) feet, \(5\) inches \(+ \ 7\) feet, \(10\) inches \(=\) how many inches? |
| (A) | \(148\) inches |
| (B) | \(256\) inches |
| (C) | \(312\) inches |
| (D) | \(159\) inches |
| 46- | Use the diagram provided as a reference. If the length between point A and C is \(50\), and the length between point A and B is \(32\), what is the length between point B and C?![]() |
| (A) | \(18\) |
| (B) | \(6\) |
| (C) | \(7\) |
| (D) | \(11\) |
| 47- | What is the sum of \(\frac{1}{6} \ + \ \frac{ 1}{3} \ + \ \frac{3}{2}\) ? |
| (A) | \(2\) |
| (B) | \(1.25\) |
| (C) | \(3\) |
| (D) | \(0.6\) |
| 48- | What is the difference between \(72\) and \(14\)? |
| (A) | \(60\) |
| (B) | \(34\) |
| (C) | \(21\) |
| (D) | \(58\) |
| 49- | If Alex needed to buy \(8\) bottles of soda for a party in which \(20\) people attended, how many bottles of soda will he need to buy for a party in which \(5\) people are attending? |
| (A) | \(5\) |
| (B) | \(8\) |
| (C) | \(2\) |
| (D) | \(5\) |
| 50- | Milly lives \(6 \ \frac{1}{2}\) miles from where she works. When traveling to work, she walks to a bus stop \(\frac{1}{5}\) of the way to catch a bus. How many miles away from her house is the bus stop? |
| (A) | \(1 \ \frac{3}{10}\) Miles |
| (B) | \(3 \ \frac{1}{10}\) Miles |
| (C) | \(3 \ \frac{2}{10}\) Miles |
| (D) | \(1 \ \frac{2}{5}\) Miles |
| 51- | If l \(= 3\), a \(= 2\) and b \(= 5\), then \(3\) lab \(=\) ? |
| (A) | \(90\) |
| (B) | \(95\) |
| (C) | \(72\) |
| (D) | \(154\) |
| 52- | Which of the following is equivalent to \(6 \times 6 \times 6\)? |
| (A) | \(6 \div 6\) |
| (B) | \(6^{3}\) |
| (C) | \(\sqrt{6} \times 6\) |
| (D) | \(6000\) |
| 53- | A bread recipe calls for \(3 \ \frac{1}{3}\) cups of flour. If you only have \(2 \ \frac{5}{6}\) cups, how much more flour is needed? |
| (A) | \(\frac{1}{2}\) |
| (B) | \(5\) |
| (C) | \(\frac{5}{6}\) |
| (D) | \(1\) |
| 54- | Mario loaned Jett \($800\) at a yearly interest rate of \(4\%\). After one year what is the interest owned on this loan? |
| (A) | \($\ 45\) |
| (B) | \($\ 28\) |
| (C) | \($\ 35\) |
| (D) | \($\ 32\) |
| 55- | Cristina is \(32\) years old, twice as old as Ashly. How old is Ashly? |
| (A) | \(26\) years old |
| (B) | \(12\) years old |
| (C) | \(16\) years old |
| (D) | \(21\) years old |
| 56- | In the figure below, line A is parallel to line B. what is the value of angle \(x\)?![]() |
| (A) | \( 50\) degrees |
| (B) | \( 120\) degrees |
| (C) | \( 135\) degrees |
| (D) | \( 45\) degrees |
| 57- | \(312 \times 22 =\)? |
| (A) | \(6,684\) |
| (B) | \(6,486\) |
| (C) | \(6,864\) |
| (D) | \(6,064\) |
| 58- | In the given diagram, the height is \(7\) cm. what is the area of the triangle?![]() |
| (A) | \(77\) cm\(^2\) |
| (B) | \(85\) cm\(^2\) |
| (C) | \(31\) cm\(^2\) |
| (D) | \(17\) cm\(^2\) |
| 59- | What is the value of \(6!\)? |
| (A) | \(7\) |
| (B) | \(658\) |
| (C) | \(320\) |
| (D) | \(720\) |
| 60- | Which of the following is the correct calculation for \(5!\)? |
| (A) | \(1 \times 2 \times 3 \times 4 \times 5\) |
| (B) | \(1 \times 2 \times 3 \times 4 \times 5 \times 6\) |
| (C) | \(5 \times 4 \times 3 \times 2 \times 1\) |
| (D) | \(5 \times 4 \times 3\) |
| 61- | The number \(0.02\) can also represented by which of the following? |
| (A) | \(\frac{2}{100}\) |
| (B) | \(\frac{2}{1000}\) |
| (C) | \(\frac{2}{10}\) |
| (D) | \(\frac{2}{10,000}\) |
| 62- | There are two pizza ovens in a restaurant. Oven \(1\) burns three times as many pizzas as oven \(2\). If the restaurant had a total of \(12\) burnt pizzas on Saturday, how many pizzas did oven \(2\) burn? |
| (A) | \(5\) |
| (B) | \(8\) |
| (C) | \(2\) |
| (D) | \(3\) |
| 63- | John is having a birthday party for his girl and is serving orange juice to the \(6\) children in attendance. If John has \(1\) liter of orange juice and wants to divide it equally among the children, how many liters does each child get? |
| (A) | \(\frac{1}{6}\) |
| (B) | \(\frac{1}{5}\) |
| (C) | \(\frac{1}{2}\) |
| (D) | \(\frac{1}{7}\) |
| 64- | Which of the following is a prime number? |
| (A) | \(12\) |
| (B) | \(8\) |
| (C) | \(17\) |
| (D) | \(33\) |
| 1- Choice B is correct
The correct answer is \(38\) |
| 2- Choice C is correct
The correct answer is \(81\) |
| 3- Choice A is correct
The correct answer is \( 32\) |
| 4- Choice D is correct
The correct answer is \(\frac{5}{3}\) |
| 5- Choice A is correct
The correct answer is \(200\) |
| 6- Choice C is correct
The correct answer is \(13\) |
| 7- Choice D is correct
The correct answer is \(9\) |
| 8- Choice C is correct
The correct answer is \(84\) |
| 9- Choice B is correct
The correct answer is \(56\) |
| 10- Choice A is correct
The correct answer is \(90\) |
| 11- Choice C is correct
The correct answer is \(18\) |
| 12- Choice C is correct
The correct answer is approximately \(42\) hours |
| 13- Choice B is correct
The correct answer is \(3\) |
| 14- Choice B is correct
The correct answer is \(75\) |
| 15- Choice B is correct
The correct answer is \(2\) |
| 16- Choice D is correct
The correct answer is \(30\) |
| 17- Choice A is correct
The correct answer is \(5\) |
| 18- Choice C is correct
The correct answer is \(256\) |
| 19- Choice B is correct
The correct answer is \(21\) |
| 20- Choice C is correct
The correct answer is \(p^5\) |
| 21- Choice C is correct
The correct answer is \(13\) |
| 22- Choice B is correct
The correct answer is \(2\) |
| 23- Choice C is correct
The correct answer is \(9\) feet |
| 24- Choice A is correct
The correct answer is \(0\) |
| 25- Choice C is correct
The correct answer is \(2 \ (X \ - \ 7)\) |
| 26- Choice B is correct
The correct answer is \(>\) |
| 27- Choice C is correct
The correct answer is \(26\) |
| 28- Choice D is correct
The correct answer is \(5\) Times |
| 29- Choice A is correct
The correct answer is \(18.84\) |
| 30- Choice C is correct
The correct answer is \(<\) |
| 31- Choice A is correct
The correct answer is \( \frac{3}{4}\) |
| 32- Choice C is correct
The correct answer is \(16\) |
| 33- Choice A is correct
The correct answer is \(5.5\%\) |
| 34- Choice B is correct
The correct answer is \(6,598.5\) |
| 35- Choice C is correct
The correct answer is thousandths |
| 36- Choice C is correct
The correct answer is \(\frac{3}{4}\) |
| 37- Choice D is correct
The correct answer is \(9\) |
| 38- Choice C is correct
The correct answer is \(0.36\) |
| 39- Choice B is correct
The correct answer is \(5\) |
| 40- Choice A is correct
The correct answer is \(81\) |
| 41- Choice C is correct
The correct answer is \(7.5\) |
| 42- Choice C is correct
The correct answer is \(3\) |
| 43- Choice A is correct
The correct answer is \(1 \ \frac{1}{2}\) |
| 44- Choice C is correct
The correct answer is \(0.4\) |
| 45- Choice D is correct
The correct answer is \(159\) inches |
| 46- Choice A is correct
The correct answer is \(18\) |
| 47- Choice A is correct
The correct answer is \(2\) |
| 48- Choice D is correct
The correct answer is \(58\) |
| 49- Choice C is correct
The correct answer is \(2\) |
| 50- Choice A is correct
The correct answer is \(1 \ \frac{3}{10}\) Miles |
| 51- Choice A is correct
The correct answer is \(90\) |
| 52- Choice B is correct
The correct answer is \(6^{3}\) |
| 53- Choice C is correct
The correct answer is \(\frac{5}{6}\) |
| 54- Choice D is correct
The correct answer is \($32\) |
| 55- Choice C is correct
The correct answer is \(16\) years old |
| 56- Choice C is correct
The correct answer is \(135\) degrees |
| 57- Choice C is correct
The correct answer is \(6,864\) |
| 58- Choice A is correct
The correct answer is \(77\) cm\(^2\) |
| 59- Choice D is correct
The correct answer is \(720\) |
| 60- Choice A is correct
The correct answer is \(1 \times 2 \times 3 \times 4 \times 5\) |
| 61- Choice A is correct
The correct answer is \(\frac{2}{100}\) |
| 62- Choice D is correct
The correct answer is \(3\) |
| 63- Choice A is correct
The correct answer is \(\frac{1}{6}\) |
| 64- Choice C is correct
The correct answer is \(11\) |
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