Free Full Length HSPT Mathematics Practice Test

The correct answer is $38$
The sum of numbers divided by $7$ give the average of numbers. Then:
$\frac{210}{7} \ < \ x \ < \ \frac{280}{7}$
$30 \ < \ x \ < \ 40$
From choices provided, only $38$ is correct.

The correct answer is $81$
$3^4 = 3 \times 3 \times 3 \times 3 =81$

The correct answer is $32$
Use PEMDAS (order of operation):
$- \ 20 \ + \ 5 \times (– \ 4) \ – \ \left[ \ 6 \ + \ 25 \ \times (- \ 6) \ \right] \div 2 =$
$- \ 20 \ -\ 20 \ - \ \left[\ 6 \ - \ 150 \ \right] \div 2 =$
$- \ 40 \ - \ \left[ \ - \ 144 \ \right] \div 2 =$
$- \ 40 \ + \ 144 \div 2 = - \ 40 \ + \ 72 =  32$

The correct answer is $\frac{5}{3}$
A. $\frac{4}{5} = 0.8$
B. $\frac{3}{2} = 1.5$
C. $\frac{7}{9} = 0.77$
D. $\frac{5}{3} = 1.66$

The correct answer is $200$
$50 \times 4 = 200$

The correct answer is $13$
The difference of each number and the next number is $4$.
$\left\{29, \ 25, \ 21, \ 17, \ 13\right\}$

The correct answer is $9$
$15 \ a \ + \ 25 = 160 →$
$15 \ a = 160 \ - \ 25 →$
$15 \ a = 135 →$
$a = 9$

The correct answer is $84$
A. $\frac{52}{7} = 7.42$
B. $\frac{32}{7} = 4.57$
C. $\frac{84}{7} = 12$
D. $\frac{13}{7} =1.85$

The correct answer is $56$
The smallest number that is divisible by both $8$ and $14$ is $56$. LCM $= 56$

The correct answer is $90$
$15 \times 6 = 90$

The correct answer is $18$
Each worker can walk $3$ dogs: $12 \div 4 = 3$
$6$ workers can walk $18$ dogs. $6 \times 3 = 18$

The correct answer is approximately $42$ hours
Speed $= \frac{distance }{time}$
$60 = \frac{2,500 }{time} →$
time $= \frac{2,500 }{60} = 41.66$

The correct answer is $3$
The factors of $21$ are: $\left\{ 1, \ 3, 7 \ , \ 21\right\}$
The factors of $30$ are: $\left\{ 1, \ 2,\ 3 , \ 4 , \ 5 , \ 6 , \ 10 \ , \ 15, \ 30\right\}$
GCF $= 3$

The correct answer is $75$
$25 \div \frac{1}{3} = 75$

The correct answer is $2$
The factors of $12$ are: $\left\{1, \ 2, \ 3, \ 4, \ 6, \ 12\right\}$
The factors of $18$ are: $\left\{1, \ 2, \ 3, \ 6, 9 ,\ 18\right\}$
The factors of $32$ are: $\left\{1, \ 2, \ 4, 8 ,16 , \ 32\right\}$
GCF $= 2$

The correct answer is $30$
Write a proportion and solve.
$\frac{5}{25} = \frac{x}{150} →$
$x = \frac{5 \times 150}{25} = 30$

The correct answer is $5$
Ashly $=$ Billy, Ashly $= 4$ (Kevin)
Billy $= 15 \ +$ Kevin
Ashly $=$ Billy $→$ Ashly $= 15 \ +$ Kevin
Ashly $= 4$ (Kevin) $→ 4$ (Kevin) $= 15 \ +$ Kevin $→ 4$ (Kevin) $–$ Kevin $= 15$
$3$ (Kevin) $= 15$, Kevin $= 5$

The correct answer is $256$
$\frac{4^5}{4} = 4^4 = 256$

The correct answer is $21$
A. $\frac{12}{6} = 2$
B. $\frac{21}{6} = 3.5$
C. $\frac{36}{6} = 6$
D. $\frac{24}{6} = 4$

The correct answer is $p^5$
$(p^2) \ . \ (p^3) = p^{2 \ +\ 3} = p^5$

The correct answer is $13$
A. $9 → 9$ is not prime. It is divisible by $3$.
B. $6 → 6$ is not prime.     It is divisible by $2$.
C. $13 → 13$ is prime!
D. $45 → 45$ is not prime. It is divisible by $3$.

The correct answer is $2$
$6 \ a \ – \ 3 = 9$
$6 \ a = 9 \ + \ 3$
$6 \ a = 12$
$a = 2$

The correct answer is $9$ feet
$\frac{(15 \ feet \ + \ 7 \ yards) }{4} = \frac{(15 \ feet \ + \ 21 \ feet ) }{4} = \frac{(36 \ feet ) }{4} = 9$ feet

The correct answer is $0$
$(5.2 \ + \ 3.3 \ + \ 2.5) \ x = x$
$11 \ x = x$
Then $x = 0$

The correct answer is $2 \ (X \ - \ 7)$
$A \ + \ B = X$
$A \ + \ 7 = X$
$A = X \ -\ 7$
$2 \ A = 2 \ (X \ - \ 7)$

The correct answer is $>$
$0.325$ is bigger than $0.0452$.
$0.325 \ > \ 0.0452$

The correct answer is $26$
Susy $=$ Mary $+ \ 8$
Mary $=$ Jimmy $– \ 4 →$ Jimmy $=$ Mary $+ \ 4$
Jimmy $+$ Mary $+$ Sylvia $= 90$
(Mary $+ \ 4) \ +$ Mary $+$ (Mary $+ \ 8) = 90$
$3$ Mary $+ \ 12 = 90$
$3$ Mary $= 78$, Mary $= 26$

The correct answer is $5$ Times
$5$ hours $= 300$ minutes
$\frac{60}{1} = \frac{300}{x} →$
$x = \frac{300}{60} = 5$

The correct answer is $18.84$
Diameter $= 6$, then: Radius $= 3$
C $= 2 \ π \ r$ , C $= 6 \ π →$ C $= 18.84$

The correct answer is $<$
$0.632$ is bigger than $0.0540$.
$0.524 \ < \ 0.0234$

The correct answer is $\frac{3}{4}$
$\frac{1}{x} = \frac{\frac{1}{1}}{\frac{4}{3}} = \frac{3}{4}$

The correct answer is $16$
The factors of $40$ are:
$\left\{ 1, \ 2, \ 4 , \ 5, \ 8 , \ 10, 20 , \ 40\right\}$

The correct answer is $5.5\%$
$0.055 \times 100 = 5.5\%$

The correct answer is $6,598.5$
The number in the tenth place is $4$.
The number $6,598.44$ is closer to $6,598.5$ than $6,598.4$

The correct answer is thousandths
$3$ is in the thousandths place.

The correct answer is $\frac{3}{4}$
$\frac{15}{20} = \frac{3}{4}$

The correct answer is $9$
$- \ 3 \ +  \ 9 = 6$

The correct answer is $0.36$
$\frac{8}{22} = 0.36$

The correct answer is $5$
$\sqrt{25} = 5$

The correct answer is $81$
$a^a \ . \ a = (3)^3 \ . \ 3 = 27\ . \ 3 =81$

The correct answer is $7.5$
$4.5 \ < \ x  \ ≤ \ 7.0$, then cannot be equal to $7.5$ 

The correct answer is $3$
$9 \ + \ 3 \ x \ ≤ \ 18$
$3 \ x \ ≤ \ 18 \ – \ 9$
$3 \ x \ ≤ \ 9$
$x \ ≤ \ 3$

The correct answer is $1 \ \frac{1}{2}$
The reduced fraction equal to $1.5$ is $1 \ \frac{1}{2}$

The correct answer is $0.4$
$\frac{2}{5} = 0.4$

The correct answer is $159$ inches
$1$ feet $= 12$ inches
$5$ feet, $5$ inches $=65$ inches
$7$ feet, $10$ inches $= 94$ inches
$65 \ + \ 94 =159$ inches

The correct answer is $18$
$50 \ – \ 32 =18$

The correct answer is $2$
$\frac{1}{6} \ + \ \frac{1}{3} \ + \ \frac{3}{2} =$
$\frac{1 \ + \ 2 \ + \ 9}{6} = \frac{12}{6} =2$

The correct answer is $58$
$72 \ –  \ 14 = 58$

The correct answer is $2$
Write a proportion and solve.
$\frac{8}{20} = \frac{x}{5} →$
$x = \frac{8 \times 5}{20} = 2$

The correct answer is $1 \ \frac{3}{10}$ Miles
$\frac{1}{5}$ of the distance is $6 \ \frac{1}{2}$ miles. Then:
$\frac{1}{5} \times 6 \ \frac{1}{2} = \frac{1}{5} \times \frac{13}{2} = \frac{13}{10}$
Converting $\frac{13}{10}$ to a mixed number gives: $\frac{13}{10} = 1 \ \frac{3}{10}$

The correct answer is $90$
$3$ lab $= 3 \ (3) \ (2) \ (5) =90$

The correct answer is $6^{3}$
$6 \times 6 \times 6  = 6^{3}$

The correct answer is $\frac{5}{6}$
$2 \ \frac{2}{3} \ − \ 1 \ \frac{5}{6} =$
$2 \ \frac{4}{6} \ − \ 1 \ \frac{5}{6} =$
$\frac{16}{6} \ − \ \frac{11}{6} = \frac{5}{6}$

The correct answer is $$32$
Use interest rate formula:
Interest $=$ principal $\times$ rate$\times$ time
$= 800 \times 0.04 \times 1= 32$

The correct answer is $16$ years old
Cristina $= 32$
Cristina $= 2$ Ashly
Ashly $= \frac{32}{2} = 16$

The correct answer is $135$ degrees
Angle $x$ and angle $45$ degrees are supplementary angles.
Then: $180^{◦} \ – \ 45^{◦} = 135^{◦}$
$x = 135^{◦}$

The correct answer is $6,864$
$312 \times 22 = 6,864$

The correct answer is $77$ cm$^2$
A $= \frac{1}{2} \  b \ h$
A $= \frac{1}{2} \ (22) \ (7) = 77$

The correct answer is $720$
$6! = 6 \times 5 \times \ 4 \times 3 \times 2 \times 1 = 720$

The correct answer is $1 \times 2 \times 3 \times 4 \times 5$
$5! = 5 \times 4 \times 3 \times 2 \times 1$

The correct answer is $\frac{2}{100}$
$\frac{2}{100} = 0.02$ 

The correct answer is $3$
Oven $1 = 3$ oven $2$
If Oven $2$ burns $3$ then oven $1$ burns $9$ pizzas.
$3 \ + \ 9 = 12$

The correct answer is $\frac{1}{6}$
$6$ children, $1$ liter of orange juice
Then each child gets $\frac{1}{6}$ of litter.

The correct answer is $11$
A. $12 → 12$ is not prime. It is divisible by $2$.
B. $8 → 8$ is not prime.     It is divisible by $2$.
C. $17 → 17$ is prime!
D. $33 → 33$ is not prime. It is divisible by $3$.