## Full Length SSAT Lower Level Practice Test

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### 5 SSAT Lower Level Math Practice Tests

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SSAT Lower LevelQuantitative Practice Test 3

30 questions
Total time for this test: 30 Minutes
You may NOT use a calculator for this test.

1- If $$\frac{1}{5}$$ of a number is greater than $$6$$, the number must be …..

(A) $$24$$
(B) $$12$$
(C) $$30$$
(D) $$20$$
(E) $$18$$
2- In the following figure, the shaded squares are what fractional part of the whole set of squares?

(A) $$\frac{7}{11}$$
(B) $$\frac{2}{11}$$
(C) $$\frac{2}{7}$$
(D) $$\frac{5}{11}$$
(E) $$\frac{4}{5}$$
3- If $$6 \ × \ (M \ + \ N)=24$$ and $$M$$ is greater than $$0$$, then $$N$$ could Not be …..
(A) $$6$$
(B) $$4$$
(C) $$10$$
(D) $$7$$
(E) $$5$$
4- Which of the following is greater than $$\frac{6}{4}$$?
(A) $$\frac{1}{2}$$
(B) $$\frac{4}{5}$$
(C) $$\frac{5}{3}$$
(D) $$\frac{7}{3}$$
(E) $$\frac{2}{5}$$
5- Which of the following is closest to $$7.06$$?
(A) $$5$$
(B) $$4.5$$
(C) $$7.5$$
(D) $$6$$
(E) $$7$$
6- In the multiplication bellow, $$A$$ represents which digit?
$$12 \ × \ 6 \ A \ 2=7,344$$
(A) $$1$$
(B) $$5$$
(C) $$8$$
(D) $$4$$
(E) $$3$$
7- $$9.8 \ - \ 5.02$$ is closest to which of the following.
(A) $$11$$
(B) $$15$$
(C) $$4.05$$
(D) $$7.32$$
(E) $$4.78$$
8- If $$N$$ is an even number, which of the following is always an odd number?
(A) $$\frac{N}{2}$$
(B) $$N \ + \ 4$$
(C) $$2 \ N$$
(D) $$2 \times N \ + 2$$
(E) $$N \ + 1$$
9- Numbers x and y are shown above. How many times larger is the value of digit $$6$$ in the number $$x$$, than the value of digit $$6$$ in the number $$y$$?
$$x=3,267 \ \ y=465$$

(A) $$1$$
(B) $$10$$
(C) $$100$$
(D) $$1000$$
(E) $$10,000$$
10- At a Zoo, the ratio of lions to tigers is $$9$$ to $$6$$. Which of the following could NOT be the total number of lions and tigers in the zoo?
(A) $$35$$
(B) $$78$$
(C) $$55$$
(D) $$65$$
(E) $$70$$
11- If $$24$$ can be divided by both $$6$$ and $$x$$ without leaving a remainder, then $$24$$ can also be divided by which of the following?
(A) $$x \ +\ 6$$
(B) $$2 \ x \ - \ 4$$
(C) $$x \ +\ 1$$
(D) $$2 \ x \ × \ 2 \ - \ 5$$
(E) $$4 \ x \ - \ 7$$
12- If $$4$$ added to a number, the sum is $$15$$. If the same number added to $$10$$, the answer is:
(A) $$35$$
(B) $$22$$
(C) $$14$$
(D) $$40$$
(E) $$21$$
13- What is the Area of the square shown in the following square?
(A) $$4$$
(B) $$7$$
(C) $$4$$
(D) $$9$$
(E) $$10$$
14- Use the equations below to answer the question:
$$x \ - \ 10=12$$
$$12 \ + \ y=27$$
What is the value of $$x \ + \ y$$ ?
(A) $$12$$
(B) $$17$$
(C) $$8$$
(D) $$18$$
(E) $$11$$
15- $$\frac{3 \ + \ 3 \ + \ 5 \ × \ 2 \ + \ 2}{4 \ + \ 2}=$$?
(A) $$4$$
(B) $$8$$
(C) $$\frac{4}{5}$$
(D) $$\frac{2}{7}$$
(E) $$5$$
16- Which of the following expressions has the same value as $$\frac{2}{3} \ × \ \frac{4}{2}$$?
(A) $$\frac{3 \times \ 2}{5}$$
(B) $$\frac{4 \times \ 2}{5}$$
(C) $$\frac{2 \times \ 2}{5}$$
(D) $$\frac{3 \times \ 6}{5}$$
(E) $$\frac{2 \times \ 5}{5}$$
17- If a triangle has a base of $$4$$ cm and a height of $$7$$ cm, what is the area of the triangle?
(A) $$12$$ cm$$^2$$
(B) $$14$$ cm$$^2$$
(C) $$8$$ cm$$^2$$
(D) $$15$$ cm$$^2$$
(E) $$10$$ cm$$^2$$
18- When $$4$$ is added to three times number $$N$$, the result is $$25$$. Then $$N$$ is ….
(A) $$3$$
(B) $$5$$
(C) $$7$$
(D) $$4$$
(E) $$15$$

### 5 Full Length SSAT Lower Level Math Practice Tests

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The Practice You Need to Ace the SSAT Lower Level Math Test

19- What is the next number in this sequence?  $$3, \ 6, \ 10, \ 15, \ 21,$$ …
(A) $$28$$
(B) $$26$$
(C) $$30$$
(D) $$29$$
(E) $$35$$
20- At noon, the temperature was $$12$$ degrees. By midnight, it had dropped another $$22$$ degrees. What was the temperature at midnight?
(A) $$8$$ degrees above zero
(B) $$8$$ degrees below zero
(C) $$10$$ degrees below zero
(D) $$7$$ degrees above zero
(E) $$5$$ degrees above zero
21- Which formula would you use to find the area of a square?
(A) length $$×$$ width $$×$$ height
(B) $$\frac{1}{2}$$ base $$\times$$ heigth
(C) length $$\times$$ width
(D) $$\frac{1}{2}$$ (length $$\times$$ width $$\times$$ heigth)
(E) side $$\times$$ side
22- If there are $$6$$ red balls and $$10$$ blue balls in a basket, what is the probability that Lucy will pick out a red ball from the basket?
(A) $$\frac{3}{8}$$
(B) $$\frac{3}{4}$$
(C) $$\frac{4}{5}$$
(D) $$\frac{2}{3}$$
(E) $$\frac{6}{10}$$
23- What is $$20\%$$ of $$500$$?
(A) $$60$$
(B) $$25$$
(C) $$300$$
(D) $$25$$
(E) $$50$$
24- What is the average of the following numbers?  $$3, \ 6, \ 17, \ 28, \ 45$$
(A) $$19$$
(B) $$22$$
(C) $$19.8$$
(D) $$19.5$$
(E) $$24$$
25- How many lines of symmetry does an equilateral triangle have?
(A) $$4$$
(B) $$1$$
(C) $$5$$
(D) $$3$$
(E) $$2$$
26- If all the sides in the following figure are of equal length and length of one side is $$5$$, what is the perimeter of the figure?
(A) $$25$$
(B) $$30$$
(C) $$18$$
(D) $$40$$
(E) $$28$$
27- If $$N=4$$ and $$\frac{48}{N} \ + \ 5= \Box$$, then $$\Box=$$ …..
(A) $$24$$
(B) $$8$$
(C) $$17$$
(D) $$10$$
(E) $$22$$
28- Which of the following statement is False?
(A) $$3 \ × \ 2=10$$
(B) $$(5 \ + \ 2) \ × \ 2=14$$
(C) $$9 \ ÷ \ (6 \ - \ 3)=3$$
(D) $$4\ × \ (5 \ - \ 2)=12$$
(E) $$(8 \ + \ 4) \ × \ 10=120$$
29- Four people can paint $$4$$ houses in $$10$$ days. How many people are needed to paint $$8$$ houses in $$5$$ days?
(A) $$8$$
(B) $$14$$
(C) $$17$$
(D) $$16$$
(E) $$13$$
30- $$\frac{6}{2} \ - \ \frac{5}{2}=$$ ?
(A) $$0.35$$
(B) $$0.25$$
(C) $$0.5$$
(D) $$0.2$$
(E) $$0.75$$
 1- Choice C is correct The correct answer is Greater than $$30$$If $$\frac{1}{5}$$ of a number is greater than $$6$$, the number must be greater than $$30$$. $$\frac{1}{5} \ x \ > \ 6→$$ multiply both sides of the inequality by $$6$$,then: $$x \ > \ 30$$ 2- Choice A is correct The correct answer is $$\frac{7}{11}$$There are $$11$$ squares and $$7$$ of them are shaded.Therefore, $$7$$ out of $$11$$ or $$\frac{7}{11}$$ are shaded. 3- Choice B is correct The correct answer is $$4$$$$6 \ × \ (M \ + \ N)=24$$, then $$M \ + \ N=4. \ M \ > \ 0→N$$ could not be $$4$$. 4- Choice D is correct The correct answer is $$\frac{7}{3}$$$$\frac{6}{4}=1.5$$, the only option that is greater than $$1.5$$ is $$\frac{7}{3}$$.$$\frac{5}{2}=2.33 ,2.33 \ > \ 1.5$$ 5- Choice E is correct The correct answer is $$7$$The closest to $$7.06$$ is $$7$$ in the options provided. 6- Choice A is correct The correct answer is $$1$$$$A$$ represents digit $$1$$ in the multiplication. $$12 \ × \ 612=7,344$$ 7- Choice E is correct The correct answer is $$4.78$$$$8.9 \ - \ 4.08=4.78$$, which is closest to $$4.78$$ 8- Choice E is correct The correct answer is $$N \ + \ 1$$$$N$$ is even. Let’s choose $$2$$ and $$4$$ for $$N$$.Now, let’s review the options 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. $$N \ + \ 4=2 \ + \ 4=6, \ 4 \ + \ 4=8$$                                        Both results are even.C. $$2 \ N=2 \ × \ 2=4, \ 4 \ × \ 2=8$$                                              Both results are even.D. $$(2 \ × \ N) \ + \ 2=(2 \ × \ 2) \ + \ 2=6, \ (4 \ × \ 2) \ + \ 2=10$$ Both results are even.E. $$N \ + \ 1=2 \ + \ 1=3, \ 4 \ + \ 1=5$$                                        Both results are odd. 9- Choice A is correct The correct answer is $$1$$The value of digit $$6$$ in both numbers $$x$$ and $$y$$ are in the tens place.Therefore, they have the same value. 10- Choice B is correct The correct answer is $$78$$The ratio of lions to tigers is $$9$$ to $$6$$ or $$3$$ to $$2$$ at the zoo.Therefore, total number of lions and tigers must be divisible by $$5$$. $$3 \ + \ 2=5$$From the numbers provided, only $$78$$ is not divisible by $$5$$. 11- Choice B is correct The correct answer is $$2 \ x \ - \ 4$$$$24=x \ × \ 6→x=24 \ ÷ \ 6=4$$$$x$$ equals to $$4$$.Let’s review the options provided: A. $$x \ +\ 6→4 \ + \ 4=10$$                          $$24$$ is not divisible by $$10$$.B. $$2 \ x \ - \ 4→2 \ × \ 4 \ - \ 4=4$$                 $$24$$ is  divisible by $$4$$.C. $$x \ +\ 1→4 \ + \ 1=5$$                            $$24$$ is not divisible by $$5$$.D. $$2 \ x \ × \ 2 \ - \ 5→16 \ - \ 5=11$$            $$24$$ is not divisible by $$11$$.E. $$4 \ x \ - \ 7=16 \ - \ 7=9$$                         $$24$$ is not divisible by $$9$$. 12- Choice E is correct The correct answer is $$21$$$$4 \ + \ x=15→$$$$x=11→$$$$11 \ + \ 10=21$$ 13- Choice D is correct The correct answer is $$9$$Area of a square $$=$$ (one side) $$×$$ (one side)$$3 \ × \ 3=9$$ 14- Choice B is correct The correct answer is $$17$$$$x \ - \ 10=12→x=2$$$$12 \ + \ y=27→y=15$$$$x \ + \ y=2 \ + \ 15=17$$ 15- Choice A is correct The correct answer is $$4$$$$\frac{3 \ + \ 3 \ + \ 5 \ × \ 2 \ + \ 2}{4 \ + \ 2}=\frac{24}{6}=4$$ 16- Choice C is correct The correct answer is $$\frac{2 \ × \ 2}{5}$$$$\frac{2}{3} \ × \ \frac{4}{2}=\frac{8}{10}=\frac{4}{5}$$ $$\frac{2 \ × \ 2}{5}=\frac{4}{5}$$ 17- Choice B is correct The correct answer is $$14$$ cm$$^2$$Area of a triangle $$= \frac{1}{2} \ ×$$ (base) $$×$$ (height) $$= \frac{1}{2} \ × \ 4 \ × \ 7=14$$ cm$$^2$$ 18- Choice C is correct The correct answer is $$7$$$$4 \ + \ 3 \ N=25→$$$$3 \ N=25 \ - \ 4=21→$$$$N=7$$ 19- Choice A is correct The correct answer is $$28$$$$3 \ + \ 3=6→$$$$6 \ +\ 4=10→$$$$10 \ + \ 5=15→$$$$15 \ + \ 6=21→$$$$21 \ + \ 7=28$$ 20- Choice C is correct The correct answer is $$10$$ degrees below zero$$12 \ -\ 22= \ - \ 10$$The temperature at midnight was $$10$$ degrees below zero. 21- Choice E is correct The correct answer is side $$×$$ side area of a square $$=$$ side $$×$$ side 22- Choice A is correct The correct answer is $$\frac{3}{8}$$There are $$6$$ red ball and $$16$$ are total number of balls.Therefore, probability that Lucy will pick out a red ball from the basket is $$6$$ out of $$16$$ or $$\frac{6}{6 \ + \ 10}=\frac{6}{16}=\frac{3}{8}$$. 23- Choice E is correct The correct answer is $$50$$$$20$$ percent of $$500 = 20\%$$ of $$500 = \frac{10}{100} \ × \ 500=50$$ 24- Choice C is correct The correct answer is $$19.8$$average $$=\frac{sum \ of \ all \ numbers}{number \ of \ numbers}=\frac{3 \ + \ 6 \ + \ 17 \ + \ 28 \ + \ 45}{5}=19.8$$ 25- Choice D is correct The correct answer is $$3$$An equilateral triangle has $$3$$ lines of symmetry. 26- Choice B is correct The correct answer is $$30$$The shape has $$6$$ equal sides.And is side is $$5$$.Then, the perimeter of the shape is:$$5 \ × \ 6=30$$ 27- Choice C is correct The correct answer is $$17$$$$N=4$$, then:$$\frac{48}{4} \ + \ 5=12 \ + \ 5=17$$ 28- Choice A is correct The correct answer is $$3 \ × \ 2=10$$Let’s review the options provided: A. $$3 \ × \ 2=10$$                                                     This is NOT true!B. $$(5 \ + \ 2) \ × \ 2=14$$                                          This is true!C. $$9 \ ÷ \ (6 \ - \ 3)=3→9 \ ÷\ 3=3$$                   This is true!D. $$4\ × \ (5 \ - \ 2)=12→4 \ × \ 3=12$$               This is true!E. $$(8 \ + \ 4) \ × \ 10=120→12 \ ×\ 10=120$$      This is true! 29- Choice D is correct 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. 30- Choice C is correct The correct answer is $$0.5$$$$\frac{6}{2} \ - \ \frac{5}{2}=\frac{1}{2}=0.5$$

### 5 SSAT Lower Level Math Practice Tests

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### Practice Test 1

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### Practice Test 2

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