10 Most Common CLEP College Math Questions

B
To find the discount, multiply the number by \((100\%-\)rate of discount). Therefore, for the first discount we get: (D) \((100\%-25\%)=(D)(0.75)= 0.75\). For increase of \(10\%: (0.75 D)(100\%+10\%)\)=\((0.75 D)(1.10)=0.82 D=82\%\) of D or (0.82) D.

D
Surface Area of a cylinder \(=2πr (r+ h)\), The radius of the cylinder is 8 inches and its height is 14 inches. Surface Area of a cylinder \(=2 (π)(8)(8+14)=352 π\)

D
average\(=\frac{sum \ of \ terms }{number \ of \ terms} ⇒20=\frac{13+15+20+x}{4}⇒80=48+x ⇒ x=32\)

D
Let \(x\) be the original price. If the price of the sofa is decreased by \(25\%\) to $450, then: \(75\%\) of \(x=450 ⇒ 0.75x=450 ⇒ x=450÷0.75=600\)

B
Use the formula for the area of a circle. Area \(= πr^2 ⇒ 49π = πr^2 ⇒ 49 =r^2 ⇒ r=7\)
The radius of the circle is 7. Now, use the circumference formula: Circumference \(=
2πr=2π (7)=14 π.\)

B
Use the formula for Percent of Change. \(\frac{New \ Value-Old \ Value}{Old \ Value}×100\% \).
\(\frac{28-50}{50}×100 \%=-44\%\) (negative sign here means that the new price is less than the old price).

A

Let \(x \) be the number of years. Therefore, $2,000 per year equals \(2000x\). Starting from $26,000 annual salary means you should add that amount to \(2000x\). Income more than that is:
\(I>2000 x + 26000\)

D
Use the information provided in the question to draw the shape.
Use Pythagorean Theorem: \(a^2+b^2=c^2\)
\(60^2+80^2= c^2⇒ 3600 +6400 =c^2 ⇒ 10000 =c^2 ⇒ c=100\)

B
The question is this: 530.40 is what percent of 631?
percent\(=\frac{530.40}{631 } =84.05≅84. 530.40\) is \(84\%\) of 631. Therefore, the discount is:
\(100\%-84\%=16\%\)

A
If the score of Mia was 40, then Ava’s score of Ava is 20. Since the score of Emma was half as that of Ava, therefore, the score of Emma is 10.