# HSPT Math FREE Sample Practice Questions

Preparing for the HSPT Math test? To do your best on the HSPT Math test, you need to review and practice real HSPT Math questions. There’s nothing like working on HSPT Math sample questions to hone your math skills and put you more at ease when taking the HSPT Math test. The sample math questions you’ll find here are brief samples designed to give you the insights you need to be as prepared as possible for your HSPT Math test.

Check out our sample HSPT Math practice questions to find out what areas you need to practice more before taking the HSPT Math test!

Start preparing for the 2022 HSPT Math test with our free sample practice questions. Also, make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions you need to practice.

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**10 Sample HSPT Math Practice Questions**

1- A bag contains \(18\) balls: two green, five black, eight blue, a brown, a red, and one white. If \(17\) balls are removed from the bag at random, what is the probability that a brown ball has been removed?

A. \(\frac{1}{18}\)

B. \(\frac{1}{6}\)

C. \(\frac{18}{17}\)

D. \(\frac{17}{18}\)

2- The average of five consecutive numbers is \(36\). What is the smallest number?

A. 36

B. 34

C. 32

D. 12

3- How many tiles of \(8\) cm\(^2\) are needed to cover a floor of dimension \(6\) cm by \(24\) cm?

A. 6

B. 12

C. 18

D. 24

4- A rope weighs \(600\) grams per meter of length. What is the weight in kilograms of \(14.2\) meters of this rope? (\(1 \) kilograms \(=1000\) grams)

A. 0.0852

B. 0.852

C. 8.52

D. 85.20

5- A chemical solution contains \(4\%\) alcohol. If there are \(24\) ml of alcohol, what is the volume of the solution?

A. 240 ml

B. 480 ml

C. 600 ml

D. 1200 ml

6- The average weight of \(18\) girls in a class is \(50\) kg and the average weight of \(32\) boys in the same class are \(62\) kg. What is the average weight of all the \(50\) students in that class?

A. 50

B. 57.68

C. 61.68

D. 62.90

7- The price of a laptop is decreased by \(20\%\) to \($360\). What is its original price?

A. 320

B. 380

C. 450

D. 550

8- What is the median of these numbers? \(3,10,13,8,15,18,5\)

A. 8

B. 10

C. 13

D. 15

9- Which of the following shows the numbers from least to greatest? \(\frac{11}{15},75\%,0.74,\frac{19}{25}\)

A. \(75\%,0.74,\frac{11}{15},\frac{19}{25}\)

B. \( 75\%,0.74,\frac{19}{25},\frac{11}{15}\)

C. \( 0.74,75\%,\frac{11}{15},\frac{19}{25}\)

D. \(\frac{11}{15},0.74,75\%,\frac{19}{25}\)

10- In \(1999\), the average worker’s income increased \($4,000\) per year starting from \($24,000\) annual salary. Which equation represents income greater than average? (\(I =\) income, \(x =\) number of years after \(1999\))

A. \( I>4000 x+24000\)

B. \( I>-4000 x+24000\)

C. \(I<-4000 x+24000\)

D. \(I<4000 x-24000\)

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## Answers:

1- **D**

If \(17\) balls are removed from the bag at random, there will be one ball in the bag. The probability of choosing a brown ball is \(1\) out of \(18\). Therefore, the probability of not choosing a brown ball is \(17\) out of \(18\) and the probability of having not a brown ball after removing \(17 \) balls is the same.

2- **B**

Let \(x\) be the smallest number. Then, these are the numbers: \(x, x+1, x+2, x+3, x+4\)

average\(=\frac{sum \ of \ terms}{number \ of \ terms} ⇒ 36=\frac{x+(x+1)+(x+2)+(x+3)+(x+4)}{5}⇒36=\frac{5x+10}{5} ⇒ 180=5x+10 ⇒170=5x ⇒ x=34\)

3-** C**

The area of the floor is: \(6\) cm\(×24\) cm\(=144 \) cm\(^2\), the number of tiles needed is: \(144÷8=18\)

4- **C**

The weight of \(14.2\) meters of this rope is: \(14.2×600\) g\(=8,520\) g

\(1\) kg\(=1,000\) g, therefore, \(8,520 \) g\(÷1000=8.52 \) kg

5- **C**

\(4\%\) of the volume of the solution is alcohol. Let \(x\) be the volume of the solution.

Then: \(4\%\) of \(x=24\) ml \(⇒ 0.04 x=24 ⇒ x=24÷0.04=600\)

6- **B**

average\(=\frac{sum \ of \ terms}{number \ of \ terms}\), The sum of the weight of all girls is: \(18×50=900\) kg, The sum of the weight of all boys is: \(32×62=1984\) kg, The sum of the weight of all students is: \(900+1984=2884\) kg, average\(=\frac{2884 }{50}=57.68\)

7- **C**

Let \(x \) be the original price. If the price of a laptop is decreased by \(20\%\) to \($360\), then:

\(80\%\) of \(x=360 ⇒ 0.80x=360 ⇒ x=360÷0.80=450\)

8- **B**

Write the numbers in order: \(3,5,8,10,13,15,18\). Since we have \(7 \) numbers (\(7\) is odd), then the median is the number in the middle, which is \(10\).

9- **D**

Change the numbers to decimal and then compare. \(\frac{11}{15}= 0.73\)…,\(0.74,75\%=0.75,\frac{19}{25}=0.76\)

Therefore: \(\frac{11}{15}<0.74<75\%<\frac{19}{25}\)

10- **A**

Let \(x\) be the number of years. Therefore, \($4,000\) per year equals \(4000x\). starting from \($24,000\) annual salary means you should add that amount to \(4000x\). Income more than that is:\(I>4000x+24000\)

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