HiSET Math FREE Sample Practice Questions

B. 12 ft

C. 16 ft

D. 18 ft

E. 20 ft

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Answers:

2- E
Surface Area of a cylinder \(= 2πr (r + h)\),
The radius of the cylinder is 8 inches and its height is 12 inches.
Surface Area of a cylinder \(= 2 (π) (8) (8 + 12) = 320 π\)

3- E
\(average = \frac{sum of terms}{number of terms}\)
\(18 = \frac{13+15+20+x}{4}\)
\(72 = 48 + x ⇒ x = 24\)

4- C
Let \(x\) be the original price.
If the price of the sofa is decreased by \(25\%\) to \(\$420\), then: \(75 \%\) of \(x=420 ⇒ 0.75x=420 ⇒ x=420÷0.75=560\)

5- E
Frist, factor the function:
\(x (x+2)(x+3)\)
To find the zeros, \(f(x)\) should be zero.
\(f(x)=x (x+2)(x+3)=0\)
Therefore, the zeros are:
\(x=0\)
\((x+2)=0 ⇒ x= -2\)
\((x+3)=0 ⇒ x= -3\)

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6- C
Use simple interest formula:
\(I=prt\)
(I = interest, p = principal, r = rate, t = time)
\(I=(8,000)(0.045)(5)=1,800\)

7- E
\((3.2 × 10^6) × (2.6 × 10^{−5}) = (3.2 × 2.6) × (10^6 × 10^{−5}) = 8.32 × (10^{6 + (−5)} ) = 8.32 × 10^1\)

8- E
The formula of the volume of the pyramid is:
\(V=\frac{l ×w ×h}{3}\)
\(V=\frac{6×6 ×12}=144 cm^3\)

9- E
the triangle ABC is reflected over the \(y\)-axis, then all values of \(y\)’s of the points don’t change and the sign of all \(x\)’s change.
(remember that when a point is reflected over the \(y\)-axis, the value of \(y\) does not change and when a point is reflected over the \(x\)-axis, the value of \(x\) does not change).
Therefore:
\((−1,6)\) changes to \((1, 6)\)
\((−2, 5)\) changes to \((2, 5)\)
\((5, 8)\) changes to \((−5, 8)\)

10- E
Use Pythagorean theorem:
\(a^2 + b^2 = c^2\)
\(12^2 + 16^2 = x^2\)
\(144 + 256 = x^2\)
\(400 = x^2\)
\(x = 20\)

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