Top 10 SIFT Math Practice Questions
Start your SIFT Math test prep journey right now with these samples of SIFT Math questions.
The Absolute Best Book to Ace the SIFT Math Test
(2, 27, 28, 19, 67, 44, 35\)
A. \(19\)
B. \(28\)
C. \(44\)
D. \(35\)
8- 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?_______
9- The area of a circle is \(64 π\). Which of the following is the circumference of the circle?
A. \(8\pi\)
B. \(12\pi\)
C. \(16\pi\)
D. \(64\pi\)
10- What is the value of \(3^6 \) ?______
Best SIFT Math Prep Resource for 2026
Answers:
1- D
Plug in the value of \(x\) and \(y\).
\(x=3\) and \(y=-2\)
\((5(x-2y)+(2-x))^2=(5(3-2(-2))+(2-3))^2=(5(3+4)+(-1))^2 = (34)^2=36\)
2- D
The equation of a line in slope intercept form is: \(y=mx+b\)
Solve for \(y\).
\(4x-2y=12 {\Rightarrow} -2y=12-4x {\Rightarrow} y=(12-4x){\div}(-2) {\Rightarrow} y=2x-6\)
The slope of this line is \(2\).
The product of the slopes of two perpendicular lines is \(-1\).
Therefore, the slope of a line that is perpendicular to this line is:
\(m_{1} {\times} m_{2} = -1 {\Rightarrow} 2 {\times} m_{2} = -1 {\Rightarrow} m_{2} = \frac{-1}{2}\)
3- D
Use FOIL method.
\((2x+2y)(2x-y) = 4x^2-2xy+4xy-2y^2=4x^2+2xy-2y^2\)
4- D
To solve absolute values equations, write two equations.
\(x-10\) could be positive \(3\), or negative \(3\). Therefore,
\(x-10=3 \Rightarrow x=13\)
\(x-10=-3 \Rightarrow x=7\)
Find the product of solutions: \(7 \times 13 = 91\)
5- C
Use PEMDAS (order of operation):
\([6 {\times} (- 24) + 8] – (- 4) + [4 × 5] {\div} 2 \)
\( [- 144 + 8] – (- 4) + [20] {\div} 2 =
[- 144 + 8] – (- 4) + 10 \)
\([- 136] – (- 4) + 10 = [- 136] + 4 + 10 = – 122\)
6- D
Solving Systems of Equations by Elimination
Multiply the first equation by \((-2)\), then add it to the second equation.
\({-2(2x+5y= 11) \ 4x-2y=-14} {\Rightarrow} {-4x-10y= -22 \ 4x-2y=-14} {\Rightarrow} {-12y= -36} {\Rightarrow} {y= 3}\)
Plug in the value of \(y\) into one of the equations and solve for \(x\).
\(2x+5(3)= 11 {\Rightarrow} 2x+15= 11 {\Rightarrow} 2x= -4 {\Rightarrow} x= -2\)
7- B
Write the numbers in order:
\(2, 19, 27, 28, 35, 44, 67\)
Median is the number in the middle. So, the median is \(28\)
8- 8
Use formula of rectangle prism volume.
\(V = (length) (width) (height) {\Rightarrow} 2000 = (25) (10) (height) {\Rightarrow} height = 2000 {\div} 250 = 8\)
9- C
The area of the circle is \(16 π\). Use the formula of areas of circles.
\(Area = πr^2 ⇒ 64 π> πr^2⇒ 64 > r^2⇒ r < 8\)
The radius of the circle is 8. Let’s put 8 for the radius. Now, use the circumference formula:
\(Circumference =2πr=2π (8)=16π\)
10- 729
\((3^6 ) = 3 × 3 × 3 × 3 × 3 × 3 = 729\)
Looking for the best resource to help you succeed on the SIFT Math test?
The Best Books to Ace the SIFT Math Test
Related to This Article
More math articles
- Top 10 Tips for Managing Time Effectively on the SAT Math
- Top 10 8th Grade SBAC Math Practice Questions
- How To Solve Word Problems for Explaining Fractions as Division
- Other Topics Puzzle – Challenge 97
- Best Note-Taking Tablet for College Students
- How to Mastering Rational Expressions: A Comprehensive Guide to Multiplication and Division Techniques
- 5 Best Accuplacer Math Study Guides
- The Ultimate ILTS Elementary Education Math (Grades 1–6) (305) Course
- Algebra Puzzle – Critical Thinking 15
- How to Solve Real-Life Puzzles: Word Problems on Adding and Subtracting Fractions with Like Denominators
What people say about "Top 10 SIFT Math Practice Questions - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.