Full Length SSAT Lower Level Practice Test

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SSAT Lower Level Quantitative Practice Test 4 30 questions Total time for this test: 30 Minutes You may NOT use a calculator for this test.
1-	The area of each square in the following shape is $5$ cm$^2$. What is the area of shaded squares?
(A)	$30$ cm$^2$
(B)	$26$ cm$^2$
(C)	$35$ cm$^2$
(D)	$45$ cm$^2$
(E)	$24$ cm$^2$
2-	$\frac{8}{2} \ - \ \frac{5}{2}=$?
(A)	$1$
(B)	$2.5$
(C)	$1.5$
(D)	$3$
(E)	$1.25$
3-	What is the value of $x$ in the following math equation? $\frac{x}{8} \ + \ 5=15$
(A)	$30$
(B)	$74$
(C)	$65$
(D)	$24$
(E)	$80$
4-	If $50=5 \ × \ N \ + \ 15$, then $N=$ ….
(A)	$8$
(B)	$15$
(C)	$7$
(D)	$14$
(E)	$20$
5-	When $5$ is added to three times a number $N$, the result is $27$. Which of the following equations represents this statement?
(A)	$27 \ N \ + 5 = 3$
(B)	$4 \ + \ 5 = 3 \ N$
(C)	$4 \ + \ 5 = 27 \ N$
(D)	$3 \ N \ + \ 5 = 27$
(E)	$3 \ N \ + \ 27 = 5$
6-	Alex has $1,800$ cards and Mike has $450$ cards. How many more cards does Alex have than Mike?
(A)	$1,350$
(B)	$2,250$
(C)	$1,458$
(D)	$2,365$
(E)	$1,235$
7-	What is $25$ percent of $240$?
(A)	$20$
(B)	$36$
(C)	$60$
(D)	$45$
(E)	$27$
8-	In the following right triangle, what is the value of $x$?
(A)	It cannot be determined from the information given
(B)	$35$ degrees
(C)	$65$ degrees
(D)	$45$ degrees
(E)	$50$ degrees
9-	In a basket, the ratio of red marbles to blue marbles is $5$ to $3$. Which of the following could NOT be the total number of red and blue marbles in the basket?
(A)	$61$
(B)	$32$
(C)	$88$
(D)	$64$
(E)	$72$
10-	When $78$ is divided by $5$, the remainder is the same as when $45$ is divided by:
(A)	$7$
(B)	$9$
(C)	$6$
(D)	$2$
(E)	$3$
11-	Emily has $y$ dollars. Jack has $$12$ more than Emily. If Jack gives Emily $$14$, then in terms of $y$, how much does Jack have now?
(A)	$y \ - \ 1$
(B)	$y \ + \ 1$
(C)	$y \ + \ 5$
(D)	$y \ - \ 2$
(E)	$y \ + \ 2$
12-	A square has an area of $36$ cm$^2$. What is its perimeter?
(A)	$24$ cm$^2$
(B)	$32$ cm$^2$
(C)	$45$ cm$^2$
(D)	$16$ cm$^2$
(E)	$25$ cm$^2$
13-	The length of a rectangle is $3$ times of its width. If the length is $15$, what is the perimeter of the rectangle?
(A)	$35$
(B)	$62$
(C)	$31$
(D)	$40$
(E)	$54$
14-	Dividing $123$ by $5$ leaves a remainder of:
(A)	$4$
(B)	$6$
(C)	$5$
(D)	$1$
(E)	$3$
15-	Find the missing number in the sequence: $7, \ 10, \ 14,$ ….., $25$
(A)	$18$
(B)	$24$
(C)	$20$
(D)	$18$
(E)	$19$
16-	If $7,200 \ +\ A \ - \ 300=8,900$, then $A =$
(A)	$200$
(B)	$1200$
(C)	$2000$
(D)	$2500$
5 Full Length SSAT Lower Level Math Practice Tests ~~$16.99~~ $11.99 29% Off* The Practice You Need to Ace the SSAT Lower Level Math Test eBook (PDF Format) All Available Formats & Editions Download
(E)	$1400$
17-	Use the equation below to answer the question. $x \ + \ 5=7$ $2 \ y=6$ What is the value of $y \ - \ x$?
(A)	$1$
(B)	$2$
(C)	$3$
(D)	$4$
(E)	$5$
18-	For what price is $20$ percent off the same as $$80$ off?
(A)	$$\ 200$
(B)	$$\ 350$
(C)	$$\ 450$
(D)	$$\ 400$
(E)	$$\ 500$
19-	Of the following, $25$ percent of $$43.99$ is closest to:
(A)	$$9.90$
(B)	$$11.50$
(C)	$$12.00$
(D)	$$11.00$
(E)	$$10.00$
20-	Which of the following fractions is less than $\frac{5}{3}$ ?
(A)	$0.5$
(B)	$2.6$
(C)	$2$
(D)	$3.2$
(E)	$1.75$
21-	If $256 \ - \ x \ + \ 108=241$, then $x=$
(A)	$215$
(B)	$136$
(C)	$112$
(D)	$231$
(E)	$123$
22-	If $400 \ +\ \Box \ - \ 120 = 1,300$, then $\Box =$ ?
(A)	$560$
(B)	$780$
(C)	$1020$
(D)	$685$
(E)	$1000$
23-	If $N \ × \ (8 \ - \ 3)=15$ then $N=$?
(A)	$5$
(B)	$3$
(C)	$8$
(D)	$2$
(E)	$9$
24-	Solve. $9.04 \ – \ 4.2 =$ ….
(A)	$4.25$
(B)	$4.74$
(C)	$3$
(D)	$3.36$
(E)	$4.84$
25-	There are $40$ students in a class. If the ratio of the number of girls to the total number of students in the class is $\frac{2}{5}$ , which are the following is the number of boys in that class?
(A)	$34$
(B)	$24$
(C)	$30$
(D)	$40$
(E)	$12$
26-	Of the following, which number if the greatest?
(A)	$0.0752$
(B)	$0.7129$
(C)	$0.7596$
(D)	$0.55$
(E)	$0.7369$
27-	Which of the following is the closest to $8.05$?
(A)	$8.2$
(B)	$8.3$
(C)	$8.5$
(D)	$8$
(E)	$7.5$
28-	If $x∎y=5 \ x \ + \ y \ - \ 4$, what is the value of $4∎10$?
(A)	$26$
(B)	$15$
(C)	$32$
(D)	$42$
(E)	$17$
29-	Which of the following statements is False?
(A)	$(4 \times \ 3) \ + 3 =15$
(B)	$15 \div \ (7 \ - \ 2)=3$
(C)	$(2 \times \ 3 \ + \ 4) \times 2=18$
(D)	$(3 \times 6) \times 2=36$
(E)	$(2 \times 4 \ + \ 6) \div \ 2=7$
30-	$\frac{4}{3} \ - \ \frac{5}{6}=$
(A)	$0.25$
(B)	$0.355$
(C)	$0.5$
(D)	$1.5$
(E)	$0.35$

SSAT Lower Level Practice Test Answers and Explanations

1- Choice A is correct

The correct answer is $30$ cm$^2$
There are $6$ shaded squares.
Then: $6 \ × \ 5$ cm$^2 =30$ cm$^2$

2- Choice C is correct

The correct answer is $1.5$
$\frac{8}{2} \ -\ \frac{5}{2}=\frac{3}{2}=1.5$

3- Choice E is correct

The correct answer is $80$
$\frac{x}{8} \ + \ 5=15→$
$\frac{x}{8}=15 \ - \ 5=10→$
$\frac{x}{8}=10→$
$x=10 \ × \ 8=80$

4- Choice C is correct

The correct answer is $7$
$50=5 \ × \ N \ + \ 15→$
$5 \ N=50 \ - \ 15=35→$
$N=7$

5- Choice D is correct

The correct answer is $3 \ N \ + \ 5=27$
$5 \ + \ (3 \ × \ N)=27→$
$3 \ N \ + \ 5=27$

6- Choice A is correct

The correct answer is $1,350$
$1,800 \ - \ 450=1,350$

7- Choice C is correct

The correct answer is $60$
$25$ percent of $240=\frac{25}{100} \ × \ 240=\frac{1}{4} \ × \ 240=\frac{240}{4}=60$

8- Choice D is correct

The correct answer is $45$ degrees
All angles in a triangle sum up to $180$ degrees.
The triangle provided is an isosceles triangle.
In an isosceles triangle, the three angles are $45, \ 45$, and $90$ degrees.
Therefore, the value of $x$ is $45$.

9- Choice A is correct

The correct answer is $61$
The ratio of red marbles to blue marbles is $5$ to $3$.
Therefore, the total number of marbles must be divisible by $8$.
$5 \ + \ 3 = 8$
$61$ is the only one that is not divisible by $8$.

10- Choice A is correct

The correct answer is $7$
$78$ divided by $5$, the remainder is $3$.
$45$ divided by $7$, the remainder is also $3$.

11- Choice D is correct

The correct answer is $y \ - \ 2$
Emily's Money $=y$
Jack's Money $=y \ + \ 12$
Jack gives Emily $$14→y \ +\ 12 \ - \ 14= y \ - \ 2$

12- Choice A is correct

The correct answer is $24$ cm$^2$
Area of a square $=$ side $×$ side $=36→$ side $=6$
Perimeter of a square $= 4 \ ×$ side $= 4 \ × \ 6=24$

13- Choice D is correct

The correct answer is $40$
The length of the rectangle is $15$.
Then, its width is $5$.
$15 \ ÷ \ 3 = 5$
Perimeter of a rectangle $=2 \ ×$ width $+ \ 2 \ ×$ length $=2 \ × \ 5 \ + \ 2 \ × \ 15=$
$10 \ + \ 30=40$

14- Choice E is correct

The correct answer is $3$
Dividing $123$ by $5$ leaves a remainder of $3$.

15- Choice E is correct

The correct answer is $19$
$7 \ + \ 3=10$
$10 \ + \ 4=14$
$14 \ + \ 5=19$
$19 \ + \ 6=25$

16- Choice C is correct

The correct answer is $2,000$
$7,200 \ + \ A \ - \ 300=8,900→$
$72,00 \ + \ A=8,900 \ + \ 300=9,200→$
$A=9,200 \ - \ 7,200=2,000$

17- Choice A is correct

The correct answer is $1$
$x \ + \ 5=7→x=2$
$2 \ y=6→y=3$
$y \ - \ x=3 \ - \ 2=1$

18- Choice D is correct

The correct answer is $$400$
$$80$ off is the same as $20$ percent off.
Thus, $20$ percent of a number is $80$.
Then: $20\%$ of $x=80→$
$0.20 \ x=80→$
$x=\frac{80}{0.20}=400$

19- Choice D is correct

The correct answer is $$11.00$
$25$ percent of $$44.00$ is $$11$. (Remember that $25$ percent is equal to one fourth)

20- Choice A is correct

The correct answer is $0.5$
$\frac{5}{3}=1.6 \ > \ 0.5$

21- Choice E is correct

The correct answer is $123$
$256 \ - \ x \ + \ 108=241→$
$256 \ - \ x=241 \ - \ 108=133→$
$x=256 \ - \ 133=123$

22- Choice C is correct

The correct answer is $1020$
$400 \ + \ \Box \ - \ 120=1,300→$
$400 \ + \ \Box = 1,300 \ +\ 120=1,420$
$\Box = 1,420 \ – \ 400 = 1020$

23- Choice B is correct

The correct answer is $3$
$N \ × \ (8 \ - \ 3)=15→$
$N \ × \ 5=15→N=3$

24- Choice E is correct

The correct answer is $4.84$
$9.04 \ - \ 4.2=4.84$

25- Choice B is correct

The correct answer is $24$
$\frac{2}{5}$ of students are girls.
Therefore, $\frac{3}{5}$ of students in the class are boys.
$\frac{3}{5}$ of $40$ is $24$.
There are $24$ boys in the class.
$\frac{3}{5} \ × \ 40=\frac{120}{5}=24$

26- Choice C is correct

The correct answer is $0.7596$
Of the numbers provided, $0.7596$ is the greatest.

27- Choice D is correct

The correct answer is $8$
The closest number to $8.05$ is $8$.

28- Choice A is correct

The correct answer is $26$
If $x∎y=5 \ x \ + \ y \ - \ 4$, Then:
$4∎10=5 \ (4) \ + \ 10 \ - \ 4=20 \ + \ 10 \ - \ 4=26$

29- Choice C is correct

The correct answer is $(2 \times \ 3 \ + \ 4) \ \times \ 2=18$
Choice C is not correct.
$(2 \times \ 3 \ + \ 4) \ \times \ 2=20$ not $18$

30- Choice C is correct

The correct answer is $0.5$
$\frac{4}{3} \ - \ \frac{5}{6}=\frac{8}{6} \ - \ \frac{5}{6}=\frac{3}{6}=\frac{1}{2} =0.5$