SSAT Middle Level Math Practice Test Questions

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

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C. 12

D. 16

E. 20

10- If \(?×6−3=12\) then \(?=?\)

A. 4

B. 12

C. 13

D. 14

E. 18

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Answers:

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 \(12=0.70×12=8.\)
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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