SSAT Middle Level Math FREE Sample Practice Questions

SSAT Middle Level Math FREE Sample Practice Questions

Preparing for the SSAT Middle-Level Math test? To do your best on the SSAT Middle-Level Math test, you need to review and practice real SSAT Middle-Level Math questions.  There’s nothing like working on SSAT Middle-Level Math sample questions to hone your math skills and put you more at ease when taking the SSAT Middle-Level Math test. The sample math questions you’ll find here are brief samples designed to give you the insights you need to be as prepared as possible for your SSAT Middle-Level Math test.

Check out our sample SSAT Middle-Level Math practice questions to find out what areas you need to practice more before taking the SSAT Middle-Level Math test!

Start preparing for the 2022 SSAT Middle-Level Math test with our free sample practice questions. Also, make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions you need to practice.

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10 Sample SSAT Middle Level Math Practice Questions

1- In a group of \(5\) books, the average number of pages is \(24\). Mary adds a book with \(36\) pages to the group. What is the new average number of pages per book?

A. 20

B. 22

C. 24

D. 26

E. 30

2- A football team won exactly \(70\%\) of the games it played during the last session. Which of the following could be the total number of games the team played last season?

A. 49

B. 40

C. 32

D. 12

E. 9

3- If a gas tank can hold \(35\) gallons, how many gallons does it contain when it is \(\frac{2}{5}\) full?

A. 50

B. 125

C. 62.5

D. 14

E. 8

4- What is the value of \(𝑥\) in the following figure? (Figure is not drawn to scale)

A. 150

B. 145

C. 125

D. 105

E. 85

5- The capacity of a red box is \(20\%\)bigger than the capacity of a blue box. If \(36\) books can be put in the red box, how many books can be put in the blue box?

A. 15

B. 20

C. 24

D. 30

E. 32

6- A taxi driver earns \($8\) per 1-hour work. If he works \(10\) hours a day and in \(1\) hour he uses \(2\)-liters petrol with price \($1\) for \(1\)-liter. How much money does he earn in one day?

A. $90

B. $88

C. $70

D. $60

E. $56

7- Which of the following is less than \(\frac{1}{5}\)?

A. \(\frac{1}{4}\)

B. 0.5

C. \(\frac{1}{7}\)

D. 0.28

E. 0.31

8- Amy and John work in the same company. Last month, both of them received a raise of \(20\) percent. If Amy earns \($30.00\) per hour now and John earns \($28.80\), Amy earned how much more per hour than John before their raises?

A. $8.25

B. $4.25

C. $3.00

D. $2.25

E. $1.00

9- Three people can paint \(3\) houses in \(12\) days. How many people are needed to paint \(6\) houses in \(6\) days?

A. 6

B. 8

C. 12

D. 16

E. 20

10- If \(𝑁×6−3=12\) then \(𝑁=?\)

A. 4

B. 12

C. 13

D. 14

E. 18

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Answers:

1- D
In a group of \(5\) books, the average number of pages is (24). Therefore, the sum of pages in all \(5\) books is \((5×24=120) \). Mary adds a book with \(36\) pages to the group. Then, the sum of pages in all 6 books is \((5×24+36=156) \). The new average number of pages per book is:\(\frac{156}{6}=26\)

2- B
Choices A, C, D, and E are incorrect because \(70\%\) of each of the numbers is a non-whole number.
A. \( 49, 70\%\) of \(49 = 0.70×49=34.3\)
B. \( 40, 70\%\) of \(40=0.70×40=28\)
C. \( 32, 70\%\) of \(32=0.80×32=22.4\)
D. \( 12, 70\%\) of \(12=0.70×12=8.4\)
E. \( 9, 70\%\) of \(9=0.80×9=6.3\)

3- D
\(\frac{2}{5}×35=\frac{70}{5}=14\)

4- A
\(x=25+125=150\)

5- D
The red box is \(20\%\) bigger than the blue box. Let \(x\) be the capacity of the blue box. Then:
\(x+20\%\) of \(x=36→1.2x=36→x=\frac{36}{1.2}=30\)

6- D
\($8×10=$80\), Petrol use: \(10×2=20\) liters, Petrol cost: \(20×$1=$20\)
Money earned: \($80-$20=$60\)

7- C
From the choices provided, only C \((\frac{1}{7})\) is less than \(\frac{1}{5}\).

8- E
Amy earns \($30.00\) per hour now. \($30.00\) per hour is \(20\) percent more than her previous rate. Let \(x\) be her rate before her raise. Then: \(x+0.20x=30→1.2x=30→x=\frac{30}{1.2}=25\)
John earns \($28.80\) per hour now. \($28.80\) per hour is \(20\) percent more than his previous rate. Let \(x\) be John’s rate before his raise. Then:\(x+0.20x=28.80→1.2x=28.80→x=\frac{28.80}{1.2}=24\), Amy earned \($1.00\) more per hour than John before their raises.

9- C
Three people can paint \(3\) houses in \(12\) days. It means that for painting \(6\) houses in \(12\) days we need \(6\) people. To paint \(6\) houses in \(6\) days, \(12\) people are needed.

10- A
\(N×(6-3)=12→N×3=12→N=4\)

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