10 Most Common 8th Grade IAR Math Questions

10 Sample 8th Grade IAR Math Practice Questions

B. \(40\)

C. \(64\)

D. \(80\)

3- A \($40\) shirt now selling for \($28\) is discounted by what percent?

A. \(20 \%\)

B. \(30 \%\)

C. \(40 \%\)

D. \(60 \%\)

4- How much interest is earned on a principal of \($5000\) invested at an interest rate of \(5\%\) for four years?

A. \($250\)

B. \($500\)

C. \($1000\)

D. \($2000\)

5- A swimming pool holds \(2,000\) cubic feet of water. The swimming pool is \(25\) feet long and \(10\) feet wide. How deep is the swimming pool?
Write your answer in the box below. ________

6- The price of a car was \($20,000\) in \(2014\), \($16,000\) in \(2015\) and \($12,800\) in \(2016\). What is the rate of depreciation of the price of a car per year?

A. \(15 \%\)

B. \(20 \%\)

C. \(25 \%\)

D. \(30 \%\)

7- What is the area of the shaded region if the diameter of the bigger circle is \(12\) inches and the diameter of the smaller circle is \(8\) inches?

A. \(16 π\)

B. \(20 π\)

C. \(36 π\)

D. \(80 π\)

8- What is the area of an isosceles right triangle that has one leg that measures \(6 cm\)? _________

9- A taxi driver earns \($9\) 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. \($60\)

10- What is the solution to the following system of equations?
\(\frac{-x}{2}+ \frac{y}{4} = 1\)
\(\frac{-5y}{6}+ 2x = 4\)

A. \(x=48,y=22 \)

B. \(x=50,y=20\)

C. \(x=20,y=50\)

D. \(x=22,y=48\)

Best 8th Grade IAR Math Prep Resource

Common Core Mathematics Workbook For Grade 8 Step-By-Step Guide to Preparing for the Common Core Math Test 2019

Download

$29.99 Original price was: $29.99.$16.99Current price is: $16.99.

Rated 4.37 out of 5 based on 112 customer ratings

Satisfied 101 Students

Answers:

2- B
Use the area of the rectangle formula \((s = a × b)\).
To find the area of the shaded region subtracts the smaller rectangle from the bigger rectangle.
\(S_{1} – S_{2} = (10 ft × 8ft) – (5ft × 8ft) ⇒ S_{1} – S_{2} = 40ft\)

3- B
Use the formula for Percent of Change
\(\frac{New \space Value-Old \space Value}{Old \space Value}× 100 \%\)
\(\frac{28-40}{40}× 100 \% = –30 \% \)(negative sign here means that the new price is less than old price).

4- C
Use simple interest formula:
\(I=prt\)
(I = interest, p = principal, r = rate, t = time)
\(I=(5000)(0.05)(4)=1000\)

5- 8
Use the formula of rectangle prism volume.
\(V = (length) (width) (height) ⇒ 2000 = (25) (10) (height) ⇒
height = 2000 ÷ 250 = 8\)

6- B
Use this formula: Percent of Change
\(\frac{New \space Value-Old \space Value}{Old \space Value}× 100 %\)
\(\frac{16000-20000}{20000}× 100 % \)
\(= 20 \% \space and \space \frac{12800-16000}{16000}× 100 \% = 20 \%\)

7- B
To find the area of the shaded region subtract the smaller circle from the bigger circle.
\(S_{bigger}-S_{smaller} =π(r_{bigger})^2 -π(r_{smaller})^2⇒S_{bigger}-S_{smaller}=π(6)^2-π(4)^2\)
\(⇒ 36 π – 16π = 20 π\)

8- 18
\(a = 6 ⇒\) area of the triangle is:
\(\frac{1}{2}(6×6)=\frac{36}{2}=18 \space cm^2\)

9- C
\($9×10=$90\)
Petrol use: \(10×2=20 \space liters\)
Petrol cost: \(20×$1=$20\)
Money earned: \($90-$20=$70\)

10- D
\(\frac{-x}{2}+ \frac{y}{4} = 1\)
\(\frac{-5y}{6}+ 2x = 4\)
Multiply the top equation by \(4\). Then,
\(-2x+ y = 4\)
\(\frac{-5y}{6}+ 2x = 4\)
Add two equations.
\(\frac{1}{6}y=8→y=48\), plug in the value of y into the first equation →\(x=22\)

Looking for the best resource to help you succeed on the 8th Grade IAR Math test?

The Best Books to Ace 8th Grade IAR Math Test

Common Core Math Exercise Book for Grade 8 Student Workbook and Two Realistic Common Core Math Tests

Download

$29.99 Original price was: $29.99.$16.99Current price is: $16.99.

Rated 4.31 out of 5 based on 94 customer ratings

Satisfied 79 Students