Full Length TABE Battery Math Practice Test

The correct answer is $341$
$467 \ – \  126 = 341$

The correct answer is $$2,082$
$$1,314\ +\ $768=2,082$ 

The correct answer is $52$
$123 \ ×\ 4= 52$

The correct answer is $2,052$
$\cfrac{\begin{align} 2,519\\ - \ 422 \end{align}}{2,052}$

The correct answer is $802$
$\cfrac{\begin{align}789\\+ \ 13 \end{align}}{802}$

Thecorrect answer is $101.57$
$\cfrac{\begin{align} 84.22\\ + \ 17.35 \end{align}}{101.57}$

The correct answer is $6,777$
$\cfrac{\begin{align}132 \\+ \ 6,645 \end{align}}{6,777}$

The correct answer is $40$
$9,000\ ÷\ 200=40$ 

The correct answer is $11.34$
$\cfrac{\begin{align}4.2\\ ×\ 2.7 \end{align}}{11.34}$

The correct answer is $108$
$540\ ÷\ 5=108$

The correct answer is $76$
$152 \ ÷\  2 =76$

The correct answer is $\frac{3}{5}$
$\frac{4}{5}\ - \frac{1}{5}= \frac{3}{5}$

Thecorrect  answer is $\frac{3}{5}$
$\frac{2}{5}\ +\ \frac{1}{5}=\frac{3}{5}$

The correct answer is $21.78$
$43.12\ -\ 21.34=21.78$

The correct answer is $1,833$
$$3,523 \ -\ $1,690= 1,833$

The correct answer is $11 \ \frac {5}{6}$
$4\  \frac{1}{3}\ +\ 7\  \frac{1}{2}= 11 \ \frac {5}{6}$

The correct answer is $1$
$\frac{5}{7}\ + \frac{2}{7}=1$

The corrcet answer is $5.1$
$5.1 \ +\ 5.1=10.2$

The correct answer is $0.136$
$13.6\ ÷\ 100=0.136$

The correct answer is $5$
$12.5 \ ÷\  2.5 =5$

The correct answer is $289$
$2,601 \ ÷\  9 =289$

The correct answer is $18 \  \frac{1}{5}$
$4\ \frac{1}{3}\ ×\ 4\  \frac{1}{5}=\frac{13}{3}  \ ×\ \frac{21}{5}=\frac{273}{15}= 18 \ \frac{1}{5}$

The correct answer is $1\  \frac{10}{13}$
$4\ \frac{3}{5} \ ÷\ 2\ \frac{6}{10}$$=\frac{23}{5} \  ÷\ \frac{13}{10}=\frac{ 115}{65}= 1\  \frac{10}{13}$

The correct answer is $30$
$19 \ –\ (\ –\ 11)= 19\ +\ 11= 30$

The correct answer is $1.28$
$4\%$ of  $32=0.04 \ ×\  32 =1.28$

The correct answer is $2 \ \frac{1}{5}$
$4\  \frac{3}{5}\ -\ 2 \ \frac{2}{5}= 4\ +\ \frac{3}{5}\ -\ 2\ -\ \frac{2}{5} =2 \ \frac{1}{5}$

The correct answer is $1.28$
$4\%$ of  $32=0.04 \ ×\  32=1.28$

The correct answer is $\frac{2}{7}$
$\frac{3}{7}\ ×\  \frac{2}{3}=\frac{6}{21}=  \frac{2}{7}$

The correct answer is $30\%$
$30\%$ of $50 = 15$

The correct answer is $4 \ \frac{11}{12}$
$5\  \frac{2}{3}\ -\  \frac{3}{4} = 4 \ \frac{11}{12}$

The correct answer is $9\ a\ b$
$13\ 𝑎\ 𝑏 \ –\  4\ 𝑎\ 𝑏= 9\ a\ b$

The corrcet answer is $\frac{9}{2}$
$\frac{3}{8}\ ÷\  \frac{1}{12}=\frac{9}{2}$

The correct answer is $12 \ x$
$9\ x\ +\ 3\ x=12 \ x$

The correct answer is $-\ 33$
$11\ ×\ (−\ 3)=-\ 33$

The correct answer is $6\ a\ b$
$9\ 𝑎\ 𝑏\ −\ 3\ 𝑎𝑏=6\ a\ b$

The correct answer is $9^{ \ 20}$
$3^9\ ×\  3^{11}= 3^{ \ 9 \ + \ 11}=3^{ \ 20}$

The correct answer is $9$
$−\ 3\ +\ 9\ +\ 3=9$

The corrcet answer is $675$
$12\%$ of ___ $= 81$
$\frac{12}{100}\ ×\ x = 81$
$\frac{12\ x}{100}=81$
$x=\frac{8,100}{12}=675$

The correct answer is $3^{11}$
$3^5\ ×\  3^6=3^{5 \ + \ 6}=3^{11}$

The correct answer is $14$
$50\%$ of $28=0.5 \ ×\  28 =14$

The correct answer is $14$
$50\%$ of $28=0.5 \ ×\  28 =14$

The corrcet answer is $4\ (N \ -\ 5)$
$x \ +\ y = N → x = 5 → 5 \ +\ y = N → y = N \ –\ 5 → 4\ y\ = 4\ (N \ –\ 5)$

The corrcet answer is $26.75$
$4\ x\ -\ 8=8.5→4x=8.5\ +\ 8=16.5→x=\frac{16.5}{4}=4.125$ 
Then; $6\ x\ +\ 2=6\ (4.125)\ +\ 2=24.75\ +\ 2=26.75$

The corrcet answer is $$540$
Let $x$ be the original price.
If the price of the sofa is decreased by $15\%$ to $$459$, then:
$85\%$ of $x=459 ⇒ 0.85\ x\ =459 ⇒ x=459\ ÷\ 0.85=540$

The corrcet answer is $(-\ 1, 2)$
Plug in each pair of numbers in the equation: $3\ x\ +\ 5\ y\ =7$
1. $(2, 1):\  3 \ (2) \ +\ 5\ (1) = 11$
2. $(–\ 1, 2):\   3 \ (–\ 1) \ +\ 5\ (2) = 7$
3. $(–\ 2, 2):\   3 \ (–\ 2) \ + \ 5\ (2) = 4$
4. $(2, 2): \   3 \ (2)\ +\ 5\ (2) = 16$
Choice $2$ is correct.

The corrcet answer is $10$
$150\  ÷ \  15 = 10$

The corrcet answer is $32$ cm$^2$
First draw an isosceles triangle. Remember that two sides of the triangle are equal. 
Let put $a$ for the legs. Then:
$a=9⇒$ area of the triangle is $=\frac{1}{2} \ (8\ ×\ 8)=\frac{64}{2}=32$ cm$^2$

The corrcet answer is $4$
average $= \frac{sum \ of\ terms} {number \ of\ terms} ⇒ 15 =\frac {15\ +\ 18\ +\ 23\ +\ x}{4} ⇒60 = 56 \ +\ x ⇒ x = 4$

The corrcet answer is $5:6$
The average speed of john is: $120 \ ÷\ 4 = 30$ km
The average speed of Alice is: $180 \ ÷\ 5= 36$ km
Write the ratio and simplify. $30 : 36 ⇒ 5 : 6$

The corrcet answer is $\frac{7}{9}$
A.$\frac{3}{4} = 0.75$
B.$\frac{2}{5} = 0.4$
C.$\frac{7}{9} = 0.77$
D.$\frac{2}{3} = 0.66$

The corrcet answer is $17$
$\frac{15\ +\ 16\ +\ 9\ +\ 20\ +\ 25}{5} =\frac{ 80}{5} = 17$

The corrcet answer is $(400) \ (0.70)\ (0.85)$
To find the discount, multiply the number by $(100\% \ –$ rate of discount).
Therefore, for the first discount we get: $(400) \ (100\%\ –\ 30\%) = (400) \ (0.70)$ 
For the next $15 \%$ discount: $(400) \ (0.70)\ (0.85)$

The corrcet answer is $15$ cm
Use Pythagorean Theorem: $a^2\ +\ b^2=c^2$
$9^2 \ +\ 12^2 = c^2 ⇒ 81\ +\ 144=c^2 ⇒ 225=c^2⇒c=15$

The corrcet answer is $20\%$
Use this formula: Percent of Change: $\frac{New\  Value\ -\ Old \ Value}{Old \ Value} \ ×\ 100 \%$
$\frac{16000\ -\ 20000}{20000}\ ×\ 100\% = 20\%$ and $\frac{12800\ -\ 16000}{16000} \ ×\ 100 \% = 20 \%$

The corrcet answer is $20\%$
Use this formula: Percent of Change: $\frac{New\  Value\ -\ Old \ Value}{Old \ Value} \ ×\ 100 \%$
$\frac{16000\ -\ 20000}{20000}\ ×\ 100\% = 20\%$ and $\frac{12800\ -\ 16000}{16000} \ ×\ 100 \% = 20 \%$

The corrcet answer is $8$ hours and $24$ minutes
Use distance formula: Distance $=$ Rate $×$ time $⇒ 420 = 50\ ×\ $ T, divide both sides by $50.\frac{ 420 }{ 50} =$ T $⇒$ T $= 8.4$ hours. 
Change hours to minutes for the decimal part. $0.4$ hours $= 0.4 \ ×\ 60 = 24$ minutes.

The corrcet answer is $14\%$
The percent of girls playing tennis is: $35 \% \ ×\ 40 \% = 0.35 \ ×\ 0.40 = 0.14 = 14 \%$

The corrcet answer is $13$
Let $x$ be the number. Write the equation and solve for $x$.
$(36\ –\ x) \ ÷\ x = 2$, 
Multiply both sides by . 
$(36\ –\ x) = 2\ x$, then add $x$ both sides.
$36 = 3\ x$, now divide both sides by $3. \ x = 13$

The corrcet answer is $$50$
$$8 \ ×\ 10=$80 →$
Petrol use: $10\ ×\ 2.5=25$ liters $→$
Petrol cost: $25\ ×\ $1.2=$30$
Money earned: $$80\ -\ $30=$50$

The corrcet answer is $40$
To find the number of possible outfit combinations, multiply number of options for each factor:
$4 \ ×\ 2 \ ×\ 5 = 40$

The corrcet answer is $22.5$
The sum of supplement angles is $180$.
Let $x$ be that angle. Therefore, $x \ +\ 7\ x = 180$
$8\ x = 180$, divide both sides by $8: \ x = 22.5$

The correct answer is $0$
Solving Systems of Equations by Elimination
$\cfrac{\begin{align} 2 \ x \ - \ 4 \ y \ = \ - \ 20 \\ - \ x \ + \  4 \ y \ = \ 10 \end{align}}{}$⇒ 
Multiply the second equation by $3$, then add it to the first e26quation.
$\cfrac{\begin{align} 2 \ x \ - \ 4 \ y \ = \ - \ 20 \\ 2 \ ( \ - \ x \ + \ 4 \ y \ = \ 10) \end{align}}{}$ ⇒  
$\cfrac{ \begin{align} 2 \ x \ - \ 4 \ y \ = \ - \ 20 \\ - \ 2 \ x \ + \ 8 \ y \ = \ 20 \end{align} }{\begin{align} 6\ y \ = 0 \\ ⇒ y \ =0 \end{align}}$

The corrcet answer is $50\%$
Use percent formula: part $=\frac{ percent}{100} \ ×$ whole
$25 =\frac{ percent}{100} \ ×\ 50 ⇒ 25 =\frac{ percent \ ×\ 50}{100} ⇒ 25 = \frac{percent \ ×\ 5}{10}$, multiply both sides by $10$.
$250 =$ percent $\ ×\ 5$, divide both sides by $5$.
$50 =$ percent

The corrcet answer is $189$ cm$^2$
The perimeter of the trapezoid is $54$. 
Therefore, the missing side (height) is $= 54 \ –\ 15 \ –\ 12 \ –\ 9 = 18$
Area of a trapezoid: A $= \frac{1}{2}\ h \ (b_1 \ + \ b_2) = \frac{1}{2} \ (18)\ (12 \ +\ 9) = 189$

The corrcet answer is $$700$
Use simple interest formula:
$I=prt$
($I=$ nterest,$p=$ principal,$r=$ rate,$t=$ time)
$I=(5,000)\ (0.035)\ (4)=700$

The corrcet answer is $1,728$ cm$^3$
If the length of the box is $36$, then the width of the box is one third of it, $12$, and the height of the box is $4$ (one third of the width).
The volume of the box is:
$V = lwh = (36)\ (12)\ (4) = 1,728$

The correct answer is $(-\ 1, -\ 2)$
The equation of a line is in the form of $y=m\ x\ +\ b$, where $m$ is the slope of the line and b is the $y$-intercept of the line. 
Two points $(4,3)$ and $(3,2)$ are on line A. Therefore, the slope of the line A is:
slope of line A$=\frac{y_2\ -\ y_1}{x_2 \ -\ x_1} = \frac{2\ -\ 3}{3\ -\ 4}=\frac{-\ 1}{- \ 1}=1$
The slope of line A is $1$. Thus, the formula of the line A is: $y=m\ x\ +\ b=x\ +\ b$, choose a point and plug in the values of $x$ and $y$ in the equation to solve for b. Let’s choose point $(4, 3)$. 
Then: $y=x\ +\ b→3\ =\ 4\ +\ b→b=3\ -\ 4=- \ 1$
The equation of line A is: $y=x\ -\ 1$
Now, let’s review the choices provided:
A.$(-\ 1,2)$          $y=x\ -\ 1→2=-\ 1\ -\ 1=-\ 2$            This is not true.
B.$(5,7)$              $y=x\ -\ 1→7=5\ - \ 1=4$                   This is not true.
C.$(3,4)$              $y=x\ -\ 1→4=3\ -\ 1=2$                    This is not true. 
D.$(-\ 1,-\ 2)$      $y=x\ -\ 1→-\ 2=-\ 1\ -\ 1=- \ 2$       This is true!

The corrcet answer is $0.77$ D
To find the discount, multiply the number by $(100\% –$ rate of discount).
Therefore, for the first discount we get: (D) $(100\% \ –\ 30\%) =$ (D) $(0.70) = 0.70$ D
For increase of $10 \%: (0.70$ D) $(100\% \ +\ 10\%) = (0.70$ D) $(1.10) = 0.77$ D $=77\%$ of D

The corrcet answer is $16\ π$
Area of the circle is less than $81\ π$.
Use the formula of areas of circles. 
Area $= π\ r^2 ⇒ 81 \ π> π\ r^2⇒ 81 > r^2⇒ r < 9$
Radius of the circle is less than $9$. 
Let’s put $9$ for the radius.
Now, use the circumference formula: Circumference $=2\ π\ r=2\ π \ (9)=18\ π$
Since the radius of the circle is less than $9$.
Then, the circumference of the circle must be less than $18 \ π$.
Only choice A is less than $18\ π$.

The corrcet answer is $200\%$
Write the equation and solve for B: $0.50$ A $= 0.25$ B, divide both sides by $0.25$, then:
$\frac{0.50}{0.25}$ A = B, therefore: B $= 2$ A, and B is $2$ times of A or it’s $200\%$ of A.

The corrcet answer is $625$
$5^4 = 5\ ×\ 5 \ ×\ 5 \ ×\ 5 = 625$

The corrcet answer is $320$ km
Add the first $5$ numbers. $20 \ +\ 25\ +\ 50 \ +\ 15 \ +\ 35 = 145$
To find the distance traveled in the next $5$ hours, multiply the average by number of hours.
Distance $=$ Average $×$ Rate $= 35 \ ×\ 5 = 175$, Add both numbers. $175 \ +\ 145 = 320$

The correct answer is $15\%$
The question is this: $530.40$ is what percent of $624$?
Use percent formula: part $= \frac{percent}{100} \ ×$ whole
$530.40 = \frac{percent}{100} \ ×\ 624 ⇒ 530.40 = \frac{percent \ ×\ 624}{100} ⇒53040 =$ percent $×\ 624 ⇒$ 
percent $= \frac{53040}{624} = 85$
$530.40$ is $85 \%$ of $624$. Therefore, the discount is: $100\% \ –\ 85\% = 15\%$

The correct answer is $43$
Let $x$ be the smallest number. Then, these are the numbers:
$x, \ x\ +\ 1, \ x\ +\ 2, \ x\ +\ 3, \ x\ +\ 4$
average$=\frac{ sum \ of\ terms} {number \ of\ terms} ⇒$
$45 =\frac{ x\ +\ (x\ +\ 1)\ +\ (x\ +\ 2)\ +\ (x\ +\ 3)\ +\ (x\ +\ 4)}{5}⇒$
$45=\frac{5\ x\ +\ 10}{5} ⇒$
$225 = 5\ x\ +\ 10 ⇒$
$215 = 5\ x ⇒ x=43$

The correct answer is $68.5$
average$= \frac{sum \ of\ terms }{number \ of\ terms}$
The sum of the weight of all girls is: $15 \ ×\ 49= 735$ kg
The sum of the weight of all boys is: $30 \ ×\ 44 = 1,320$ kg
The sum of the weight of all students is: $735 \ +\ 1,320 = 2,055$ kg
average $= \frac{2,055 }{50} = 68.5$

The correct answer is $10$
Write the numbers in order: $4, \ 5, \ 8, \ 10, \ 13, \ 15, \ 18$
Since we have $7$ numbers ($7$ is odd), then the median is the number in the middle, which is $10$.

For each option, choose a point in the solution part and check it on both inequalities. 
$y \leq \ x\ + \ 4\\ 2\ x\ +\ y \leq -\ 4$
1. Point $(–\ 4, –\ 4)$ is in the solution section. Let’s check the point in both inequalities. 
$–\ 4 ≤ –\ 4 \ +\ 4$, It works
$2 \ (–\ 4) \ +\ (–\ 4) ≤ –\ 4 ⇒ –\ 12 ≤ –\ 4$, it works (this point works in both)
2.Let’s choose this point $(0, 0)$ 
$0 ≤ 0 \ +\ 4$, It works
$2 \ (0) \ +\ (0) ≤ –\ 4$, That’s not true!
3.Let’s choose this point $(–\ 5, 0)$ 
$0 ≤ –\ 5 \ +\ 4$, That’s not true!
4.Let’s choose this point $(0, 5)$ 
$5 ≤ 0 \ +\ 4$, That’s not true!

The correct answer is $1,800$ ml
$2\%$ of the volume of the solution is alcohol.
Let $x$ be the volume of the solution. 
Then: $2\%$ of $x\ = 36$ ml $⇒ 0.02 \ x = 36 ⇒ x = 36 \ ÷\ 0.02 = 1,800$

The correct answer is $15$ 
Some of prime numbers are: $2 , \ 3, \ 5, \ 7, \ 11, \ 13$
Find the product of two consecutive prime numbers: $2 \ ×\ 3 = 6$ (not in the options)
$3 \ ×\ 5 = 15$ (bingo!)
$5 \ ×\ 7 = 35$ (not in the options)
Choice $4$ is correct.

The correct answer is $30$
The area of the floor is: $9$ cm $×\ 30$ cm $= 277$ cm$^2$
The number of tiles needed $= 277 \ ÷\ 9 = 30$

The corrcet answer is $13.5$
Let $x$ be the number.
Write the equation and solve for $x$.
$\frac{2}{3} \ ×\ 27= \frac{4}{3} \ .  \ x ⇒ \frac{2 \ \times \ 27}{3}= \frac{4\ x}{3}$ , use cross multiplication to solve for $x$.
$2\ ×\ 27= x\ ×\ 4 ⇒27=2\ x ⇒ x=13.5$

The corrcet answer is $30\%$ 
Use the formula for Percent of Change
$\frac{New\ Value\ -\ Old\ Value}{Old\ Value} \ ×\ 100 \%$
$\frac{28\ -\ 40}{40} \ ×\ 100 \% = \ –\ 30 \%$ (negative sign here means that the new price is less than old price).

The correct answer is $5.2$ kg
The weight of 12.2 meters of this rope is: $10.4 \ ×\ 500$ g $= 5,200$ g
$1$ kg $= 1,000$ g, therefore, $5,200$ g $÷ 1000 = 5.2$ kg

The correct answer is $12$
If the score of Mia was $48$, therefore the score of Ava is $24$.
Since, the score of Emma was half as that of Ava, therefore, the score of Emma is $12$.

The correct answer is $879.2$
Surface Area of a cylinder$= 2\ π\ r\ (r \ +\ h)$,
The radius of the cylinder is $7$ inches and its height is $13$ inches.
$π$ is $3.14$. Then: 
Surface Area of a cylinder $= 2\ (3.14)\ (7) \ (7 \ +\ 13) = 879.2$

The correct answer is $180$
The ratio of boy to girls is $3:5$.
Therefore, there are $3$ boys out of $8$ students.
To find the answer, first divide the total number of students by $8$, then multiply the result by $3$. 
$480 \ ÷\ 8 = 60 ⇒ 60 \ × \ 3 = 180$

The correct answer is $116\%$
The question is this: $1.45$ is what percent of $1.25$?
Use percent formula:
part $= \frac{percent}{100} \ ×\ $ whole
$1.45 =\frac{ percent}{100} \ ×\ 1.25 ⇒ 1.45 = \frac{percent \ ×\ 1.25}{100} ⇒145 =$ percent $×\ 1.25 ⇒$ percent $= \frac{145}{1.25} = 116$

The correct answer is $50$ miles
Use the information provided in the question to draw the shape.
Use Pythagorean Theorem: $a^2 \ +\ b^2 = c^2$
$40^2 + 30^2 = c^2 ⇒ 1600 \ +\ 900 = c^2 ⇒ 2500 = c^2 ⇒ c = 50$

The correct answer is $I > 2000\ x\ +\ 24000$
Let $x$ be the number of years. Therefore, $$2,000$ per year equals $2000\ x$. 
starting from $$24,000$ annual salary means you should add that amount to $2000\ x$. 
Income more than that is: $I > 2000\ x\ +\ 24000$

The correct answer is$\frac{17}{18}$
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.

The correct answer is $300$
Let $x$ be the original price. 
If the price of a laptop is decreased by $15\%$ to $$255$, then: 
$85 \%$ of $x=255⇒ 0.85 \ x=255⇒ x=255\ ÷\ 0.85=300$