Free Full Length ISEE Lower Level Practice Test

The correct answer is $9$
$2 \times$ M $+$ N $= 18$, then M $+$ N $= 9$. M $> \ 0→$ N could not be $9$

The correct answer is $\frac{7}{2}$
$\frac{10}{6} = \frac{5}{3} = 3.33$, the only choice that is greater than $3.33$ is $\frac{7}{2}$.
(Recall that $\frac{1}{32} = 0.5$..)
$\frac{7}{2}=3.5 \ ,3.5 \ > \ 3.33$

The correct answer is $4$
The closest to $4.07$ is $4$ in the choices provided.

The correct answer is: Greater than $24$
If $\frac{1}{4}$ of a number is greater than $6$, the number must be greater than $24$.
$\frac{1}{4} \ x \ > \ 6 →$ multiply both sides of the inequality by $4$, then: $x \ > \ 24$

The correct answer is $5$
A represents digit $5$ in the multiplication.
$11 \times 456 = 5,016$

The correct answer is $4.56$
$9.5 \ - \ 5.02 = 4.48$, which is closest to $4.56$

The correct answer is $57$
The ratio of lions to tigers is $8$ to $6$ or $4$ to $3$ at the zoo.
Therefore, total number of lions and tigers must be divisible by $7$.
$4 \ + \ 3 = 7$
From the numbers provided, only $57$ is not divisible by $7$..

The correct answer is $40$
Let $x$ be the number. Then:
$8 \ + \ x = 24 →$
$x = 16 →$
$16 \ + \ 24 = 40$

The correct answer is $(N \ + \ 3)$
N is even. Let’s choose $2$ and $4$ for N.
Now, let’s review the choices provided.

A. $\frac{N}{2} = \frac{2}{2} = 1, \ \frac{N}{2} = \frac{4}{2} = 2$, One result is odd and the other one is even.
B. $N \ + \ 2 = 2 \ + \ 2 = 4 , \ 4 \ + \ 2 = 6$ Both results are even.
C. $4 \ N = 4 \times 2 = 8, \ 4 \times 4=16$ Both results are even.
D. $N \ + \ 3 = 2 \ + \ 3 = 5, \ 4 \ + \ 3 = 7$ Both results are odd.

The correct answer is $1$
The value of digit $4$ in both numbers $x$ and $y$ are in the tens place.
Therefore, they have the same value.

The correct answer is $(3 \ x \ - \  4)$
$15 = x \times 5 → x = 15 \div 5 = 3$
$x$ equals to $3$. Let’s review the options provided:
A. $x \ +\ 5 → 3 \ + \ 5 = 8$                    $15$ is not divisible by $8$.
B. $3 \ x\ - \ 4 → 3 \times 3 \ - \ 4 = 5$          $15$ is  divisible by $5$.
C. $10 \ - \ x  → 10 \ - \ 3 = 7$               $15$ is not divisible by $7$.
D. $x \times 2 → 3 \times 2 = 6$                       $15$ is not divisible by $6$.

The correct answer is $\frac{10}{3}$
$\frac{3 \ + \ 4 \ + \ 2 \ \times \ 2 \ + \ 2}{2 \ + \ 4}=\frac{20}{6} = \frac{10}{3}$

The correct answer is $\frac{5 \times 1}{3}$
$\frac{2}{3} \times \frac{5}{2} = \frac{10}{6} = \frac{5}{3}$
$\frac{5 \times 1}{3} = \frac{5}{3}$

The correct answer is $9$
$x \ - \ 10 =14 → x = 4$
$12 \ + \ y = 17 → y= 5$
$x \ +\ y = 4 \ + \ 5 = 9$

The correct answer is $16$
$4 \times 5 \times 8 \times 2$ is equal to the product of $20$ and $16$.
$(4 \times 5) \times (8 \times 2) = 20 \times 16$

The correct answer is ($6$ degrees below zero) 
$16 \ -\ 22 = - \ 6$
The temperature at midnight was $6$ degrees below zero.

The correct answer is (side $\times$ side)
area of a square $=$ side $\times$ side

The correct answer is $7$
$4 \ + \ 3 \ N = 25 →$
$3 \ N = 25 \ - \ 4 = 21 →$
$N = 7$

The correct answer is $21$ cm$^2$
Area of a triangle $= \frac{1}{2} \times$ (base) $\times$ (heiht)
$= \frac{1}{2} \times 6 \times 7= 21$

The correct answer is $28$
First, find the pattern,
$3 \ +\ 3 = 6 →$
$6 \ +\ 4 = 10 →$
$10 \ + \ 5 = 15 →$
$15 \ + \ 6 = 21$
The difference of two consecutive numbers increase by $1$.
The difference of $15$ and $21$ is $6$.
So, the next number should be $28$.
$21 \ +\ 7 = 28$

The correct answer is $3$
An equilateral triangle has $3$ lines of symmetry.

The correct answer is ($2 \ + \ 3 ) \times 2 = 12$
Let’s review the options provided:
A. $3 \times 5 = 15$                                                                  This is true!
B. $(2 \ + \ 3) \times 2 = 12→2 \ + \ 3 \times 2 = 10$                     This is not true!
C. $10 \div (7 \ - \ 2) = 2$                                                      This is true!
D. $5 \times (6 \ -\ 2) = 20 → 5 \times 4 = 20$                             This is true!

The correct answer is $\frac{3}{8}$
There are $6$ red ball and $16$ are total number of balls.
Therefore, probability that Ann will pick out a red ball from the basket is $6$ out of $16$ or $\frac{6}{6 \ + \ 10} = \frac{6}{16} = \frac{3}{8}$.

The correct answer is $0.14$
$\frac{3}{7} \ - \ \frac{2}{7} = \frac{1}{7} = 0.14$

The correct answer is $17.8$
average $= \frac{sum \ of \ all \ numbers}{number \ of \ numbers} = \frac{5 \ + \ 8 \ + \ 11\ + \ 27 \ + \ 38}{5} = 17.8$

The correct answer is $45$
$15$ percent of $300 = 15\%$ of $300 = \frac{15}{100} \times 300=45$

The correct answer is $36$
The shape has $6$ equal sides.
And is side is $6$.
Then, the perimeter of the shape is:
$6 \times 6 = 36$

The correct answer is $16$
Four people can paint $4$ houses in $10$ days.
It means that for painting $8$ houses in $10$ days we need $8$ people.
To paint $8$ houses in $5$ days, $16$ people are needed.

The correct answer is $19$
$N = 3$, then: $\frac{42}{3} \ +\ 5 = 14 \ + \ 5 = 19$

The correct answer is $12$
Write the numbers in order:
$2, \ 6, \ 9, \ 12, \ 14, \ 17, \ 19$
Median is the number in the middle.
Therefore, the median is $12$.

The correct answer is $4,352.5$
$4,352.47546$ rounded to the nearest tenth is $4,352.5$

The correct answer is ($160$ Pounds)
$142 \ + \ 12 \ + \ 6 = 160$

The correct answer is $400$
The biggest city is city C and the smallest city is city B.
Number of men in city A is $700$ and number of men in city C is $300$.
Then: $700 \ –\ 300 = 400$

The correct answer is $2$
$15 \ a \ +\ 25 = 55$
$15 \ a = 55 \ -\ 25$
$15 \ a = 30$
$a = 2$

The correct answer is $72$
There are equal numbers of four types of cards.
Therefore, the total number of cards must be divisible by $4$.
Only choice C $(72)$ is divisible by $4$.

The correct answer is $65$
All angles in a triangle sum up to $180$ degrees.
Two angles of a triangle measure $40$ and $75$.
$40 \ + \ 75 = 115$
Then, the third angle is:
$180 \ – \ 115 =65$

The correct answer is $\frac{7}{21}$
There are equal
From the choice provided, only choice B is not equal to $\frac{3}{5}$.
$\frac{7}{21} = \frac{1}{3}$

The correct answer is $50$
$30$ seconds is one second of a minute.
One second of $100$ is $50$.
$100 \div 2 = 50$
Mary types $50$ words in $30$ seconds.

The correct answer is $50$
$30$ seconds is one second of a minute.
One second of $100$ is $50$.
$100 \div 2 = 50$
Mary types $50$ words in $30$ seconds.

The correct answer is $56$
least common multiple (LCM) of $8$ and $14$ is the smallest number that is divisible by both $8$ and $14$. LCM $= 56$

The correct answer is $6$ Times
$8$ hour $= 480$ minutes.
Write a proportion and solve.
$\frac{80}{1} = \frac{480}{x} →$
$x = \frac{480}{80} = 6$

The correct answer is $\frac{13}{5}$
Find common denominator and solve.
$\frac{4}{2} \ + \ \frac{3}{5} = \frac{20}{10} \ +\frac{6}{10} = \frac{26}{10}→\frac{13}{5}$

The correct answer is $12$
The factors of $30$ are:
$\left\{ 1, \ 2,\ 3 , \ 5, \ 6 , \ 10, \ 15, \ 30\right\}$
$12$ is not a factor of $30$.

The correct answer is $\frac{6}{7}$
One method to compare fractions is to convert them to decimals.
A. $\frac{1}{2} = 0.5$
B. $\frac{2}{3} = 0.66$
C. $\frac{4}{5} = 0.8$
D. $\frac{6}{7} = 0.85$
$0.85$ or $\frac{6}{7}$ is the largest number.

The correct answer is $130\%$
The question is this:
$1.50$ is what percent of $1.15$?
Use percent formula:
part $= \frac{percent}{100} \times$ whole
part $= \frac{percent}{100} \times 1.15 ⇒$
$1.50 = \frac{percent \ \times 1.15}{100} ⇒$
$150 =$ percent $\times 1.15 ⇒$
percent $= \frac{150}{1.15} = 130$

The correct answer is $80$ cm$^2$
Area of a triangle $= \frac{1}{2}$ (base)(height)
A $= \frac{1}{2} \ (20) \ (8) = 80$

The correct answer is $648$
Perimeter $= 2$ ( width $+$ length)
A $=$ width $\times$ length
First, find the length of the rectangle.
Perimeter $= 2$ ( width $+$ length) $\rightarrow 108= 2 ( 18\ +$ length) $\rightarrow$
$108 = 36 \ + \ 2$ (length) $\rightarrow$
$72= 2$ (length) $\rightarrow$
length $=36$
A $= 18 \times 36 =648$

The correct answer is $7,459.4$ Times
$7,459.3256$ rounded to the nearest tenth is $7,459.4$

The correct answer is $\frac{14}{15}$
If $14$ balls are removed from the bag at random, there will be one ball in the bag.
The probability of choosing a red ball is $1$ out of $15$.
Therefore, the probability of not choosing a brown ball is $14$ out of $15$ and the probability of having not a red ball after removing $14$ balls is the same.

The correct answer is $3\%$
The question is this:
$650.20$ is what percent of $670$?
Use percent formula:
part $= \frac{percent}{100} \times$ whole
$650.20 = \frac{percent}{100} \times 670 ⇒$
$650.20 = \frac{percent \times 670}{100} ⇒$
$65020 =$ percent $\times 670 ⇒$
percent $= \frac{65020}{670} = 97$
$650.20$ is $97\%$ of $670$.
Therefore, the discount is:
$100\% \ – \ 97\% = 3\%$

The correct answer is $76$
All angles in a triangle add up to $180$ degrees.
$68 \ +\ 36 = 104$
$180 \ –\ 104 = 76$

The correct answer is $4.5\%$
$0.045 \times 100 = 4.5\%$

The correct answer is $3$ Hours
Since Mary running at $4$ miles per hour and Mary is running at the speed of $7$ miles per hour, each hour their distance decreases by $3$ mile.
So, it takes $15$ hours to cover distance of $9$ miles.
$9 \div 3 = 3$

The correct answer is $360$
Since Susan gives $6$ pieces of candy to each of her friends, then, then number of pieces of candies must be divisible by $6$.
A. $214 \div 6 = 35.66$
B. $360 \div 6 = 60$
C. $325 \div 6 = 54.16$
D. $157\div 6 = 26.16$
Only choice B $(360)$ gives a whole number.

The correct answer is $\frac{5}{1000}$
$\frac{5}{1000} = 0.005$

The correct answer is $$32$
$$8 \times 8 = $64$
Petrol use: $8 \times 2 = 16$ liters
Petrol cost: $16 \times $2 = $32$
Money earned: $$64 \ - \ $32 = $32$

The correct answer is $1500$ m$^3$
If the length of the box is $30$, then the width of the box is one third of it, $10$, and the height of the box is $5$ (one second of the width).
The volume of the box is:
V $=$ (length)(width)(height) $= (30) \ (10) \ (5) = 1500$ m$^3$

The correct answer is $13 \ hr. \ \ 47 \ min$

$\cfrac{\begin{align} 37 \ hr. \ \ 25 \ min \\ - \ 23 \ hr. \ \ 38 \ min \end{align}}{}$
$13 \ hr. \ \ 47 \ min$

The correct answer is $5$
Let $x$ be the number of raptors Daniel saw on Monday.
Then:
Mean $= \frac{x \ + \ 7 \ + \ 18 \ + \ 11 \ + \ 9}{5} = 10 →$
$x \ + \ 45 = 50 →$
$x = 50 \ – \ 45 = 5$

The correct answer is $80\%$
The failing rate is $25$ out of $125 = \frac{25}{125}$
Change the fraction to percent:
$\frac{25}{125} \times 100\% = 20\%$
$20$ percent of students failed.
Therefore, $80$ percent of students passed the exam.

The correct answer is $135^{◦}$
An obtuse angle is an angle of greater than $90$ degrees and less than $180$ degrees.
Only choice C ($135$ degrees) is an obtuse angle

The correct answer is $\frac{3}{4}$
There are $8$ squares and $6$ of them are shaded.
Therefore, $6$ out of $8$ or $\frac{6}{8} = \frac{3}{4}$ are shaded.

The correct answer is $(300)(0.75)(0.85)$
To find the discount, multiply the number by ($100\% \ –$ rate of discount).
Therefore, for the first discount we get:
$(300)(100\% \ – \ 25\%) = (300)(0.75)$
For the next $15\%$ discount:
$(300)(0.75)(0.85)$

The correct answer is A $\times \ 2 = 28$ 
Plug in $14$ for A in the equation.
Only choice A works.
A $\times \ 2 = 28$
$14 \ \times \ 2 = 28$

The correct answer is $75$
Write a proportion and solve.
$\frac{3}{5} = \frac{x}{45}$
Use cross multiplication:
$3 \ x = 225 → x =75$

The correct answer is trapezoid
A quadrilateral with one pair of parallel sides is a trapezoid.

The correct answer is $$19.5$
$1$ hour: $$3.25$
$6$ hours: $6 \times $3.25 = $19.5$

The correct answer is $96$
$1$ pizza has $8$ slices.
$12$ pizzas contain $(12 \times 8) \ 96$ slices.

The correct answer is $62.5\%$
There are $40$ students in the class.
$15$ of the are male and $25$ of them are female.
$25$ out of $40$ are female. Then:
$\frac{25}{40} = \frac{x}{100} →$
$2,500 = 40 \ x →$
$x=2,500\div 40 =62.5 \%$