Ready to elevate your GMAT prep with a quick yet powerful gmat mini quiz? This free GMAT math quiz and logical reasoning quiz will test your GMAT problem solving skills, refine your critical thinking, and let you tackle math puzzles and test gmat questions in minutes. Dive into focused challenges as gmat math practice questions or sharpen your gmat quantitative practice questions with brain-busters and free GMAT practice questions designed for busy achievers. Uncover strengths, identify growth areas, and master time management under pressure - all at no cost. Embrace the challenge, track your progress, and kickstart your Brain Busters adventure today!
What is 14% of 200?
14
28
24
32
To find 14% of 200, convert the percentage to a decimal (0.14) and multiply by 200, giving 28. This straightforward percent calculation is common on the GMAT quantitative section. Practicing these helps improve speed and accuracy. Learn more about percent calculations.
If x + 5 = 12, what is the value of x?
12
-7
7
17
Subtracting 5 from both sides of the equation x + 5 = 12 isolates x, yielding x = 7. Linear equations are fundamental in GMAT problem solving. Mastery of these basics speeds up more complex problems. Official GMAT quantitative review.
What is the square root of 64?
4
8
6
16
The square root of 64 is 8 since 8 × 8 = 64. Recognizing perfect squares quickly is critical for time management on the GMAT. This is a basic arithmetic skill tested in the quantitative section. Root concepts explained.
Evaluate 5 + 3 × 2 using the correct order of operations.
10
11
17
16
According to the order of operations, multiply before adding: 3 × 2 = 6, then add 5 to get 11. GMAT frequently tests PEMDAS/BODMAS rules to ensure clarity in arithmetic expressions. Quick recognition prevents common errors. Order of operations guide.
What is the median of the data set [3, 7, 9, 13]?
9
7
10
8
With an even number of terms, the median is the average of the two middle values (7 and 9), giving (7 + 9) / 2 = 8. GMAT tests understanding of data interpretation concepts like central tendency. Practice with varied data sets improves accuracy. Median and data interpretation.
Identify the next number in the sequence: 2, 4, 6, 8, ...
10
12
9
14
This is an arithmetic sequence increasing by 2 each time. After 8, adding 2 gives 10. Recognizing sequence patterns is a common task in the GMAT quantitative section. Regular practice helps detect patterns swiftly. Sequence patterns in GMAT.
What is the sum of 3/4 and 1/8?
7/8
5/8
2/3
1
Convert 3/4 to eighths (6/8) and add 1/8 to get 7/8. Fraction addition is fundamental for the GMAT quantitative section. Efficient fraction manipulation saves time in complex problems. Fraction arithmetic review.
If x^2 = 49, what are the possible values of x?
-7 and 7
0
-49 and 49
7 only
Solving x^2 = 49 gives x = ±?49, which yields -7 and 7. Understanding square roots and signs is important for quadratic equations on the GMAT. Dual solutions often appear in quantitative problem solving. Quadratic equations overview.
If the ratio of a to b is 3:5 and a + b = 40, what is the value of a?
20
25
15
12
Let a = 3k and b = 5k; then 3k + 5k = 40 ? 8k = 40 ? k = 5 ? a = 3 × 5 = 15. Ratio problems are common on the GMAT and require setting up proportional relationships. GMAT ratio concepts.
A rectangle has a perimeter of 20 units and a length of 6 units. What is its width?
7
3
4
5
Perimeter = 2(L + W) = 20; thus L + W = 10 ? 6 + W = 10 ? W = 4. Geometry and perimeter calculations are frequently tested on the GMAT. Perimeter basics.
If a stock price increases by 20% and then decreases by 20%, what is the net percentage change?
16%
4%
-4%
0%
After a 20% increase, the price becomes 1.20P. A 20% decrease applies to the new price: 1.20P × 0.80 = 0.96P, a 4% net decrease. GMAT tests compound percentage effects in word problems. Percentage change explained.
If f(x) = 2x + 3, what is f(4)?
7
11
8
14
Substitute x = 4 into the function: f(4) = 2(4) + 3 = 11. Function evaluation and substitution are fundamental skills for the GMAT quantitative section. Function basics.
What is the least common multiple (LCM) of 6 and 8?
14
24
12
48
Prime factors: 6 = 2 × 3, 8 = 2^3. Combine highest powers: 2^3 × 3 = 8 × 3 = 24. LCM problems test number sense on the GMAT. Number properties in GMAT.
Solve for y: 2y - 7 = 9.
-8
8
16
1
Add 7 to both sides: 2y = 16 ? y = 8. Linear equations are a key component of GMAT quantitative problems. Linear equation strategies.
What is the area of a circle with a diameter of 10 units?
10?
50?
100?
25?
Radius = diameter/2 = 5. Area = ?r^2 = ? × 5^2 = 25?. Circle geometry and area formulas are tested on the GMAT quant section. Circle area formulas.
If 3x + 2y = 12 and x - y = 1, what are the values of (x, y)?
(3, 1)
(4, 0)
(2.8, 1.8)
(1.8, 2.8)
From x - y = 1, x = 1 + y; substitute into 3(1 + y) + 2y = 12 ? 3 + 3y + 2y = 12 ? 5y = 9 ? y = 1.8 ? x = 2.8. Solving linear systems is a frequent GMAT topic. System of equations guide.
An investment of $1,000 earns 5% annual interest compounded once per year. What is the value after 2 years?
$1,157.63
$1,050.00
$1,102.50
$1,100.00
Value = 1000 × (1 + 0.05)^2 = 1000 × 1.1025 = $1,102.50. Understanding compound interest is important for GMAT finance and quantitative questions. Compound interest formulas.
Given the sequence defined by a? = 1, a? = 1, and a? = a??? + a???, what is a??
13
8
21
5
The Fibonacci sequence goes 1, 1, 2, 3, 5, 8 for n = 1 through 6, so a? = 8. Sequence and series problems are common in the GMAT quant section. Fibonacci on GMAT.
What is the probability of rolling a sum of 7 with two fair six-sided dice?
1/3
1/12
1/6
1/9
There are 6 outcomes that sum to 7 out of 36 possible die combinations, giving 6/36 = 1/6. Probability questions on combinations and discrete outcomes are central to GMAT risk analysis. Probability fundamentals.
For the quadratic function f(x) = x² - 4x + 3, what is the vertex?
(-2, 3)
(1, 0)
(2, -1)
(2, 1)
The vertex of ax² + bx + c is at x = -b/(2a) = 4/2 = 2. f(2) = 4 - 8 + 3 = -1. Vertex = (2, -1). Quadratic optimization is a typical GMAT test topic. Quadratic functions guide.
What is the volume of a cube with side length 3 units?
27
81
18
9
Volume of a cube = side³ = 3³ = 27. Spatial reasoning and volume calculations are tested in the GMAT quant section. Cube volume concepts.
What is the sum of the infinite geometric series with first term 8 and common ratio 1/2?
4
8
16
32
Sum S = a/(1 - r) = 8 / (1 - 0.5) = 8 / 0.5 = 16. Mastery of series and sequences is important for GMAT advanced questions. Infinite series explained.
A and B together can complete a job in 10 days, B and C together in 12 days, and A and C together in 15 days. How many days would A alone take to complete the job?
30
20
24
15
Rates: A+B = 1/10, B+C = 1/12, A+C = 1/15. Sum gives 2(A+B+C) = 1/10 + 1/12 + 1/15 = 1/4 ? A+B+C = 1/8. Then A = (A+B+C) - (B+C) = 1/8 - 1/12 = (3 - 2)/24 = 1/24, so A alone = 24 days. Work-rate problems are frequent on GMAT. Work rate application.
In how many ways can you choose a committee of 2 people from 7 men and 3 women such that at least one member is a woman?
45
28
21
24
Total ways to choose 2 from 10 = C(10,2) = 45. Ways with no women = C(7,2) = 21. Subtract: 45 ? 21 = 24. GMAT tests combinatorics in probability and counting contexts. Combinatorics in probability.
If x + y + z = 6 and xy + yz + zx = 12 for real numbers x, y, z, what is x² + y² + z²?
24
48
12
36
Use (x+y+z)² = x² + y² + z² + 2(xy + yz + zx). So 6² = S + 2·12 ? 36 = S + 24 ? S = 12. This identity-based manipulation appears in advanced GMAT quant questions. Polynomial identities overview.
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Study Outcomes
Analyze Algebraic Puzzles -
Develop the skill to break down and solve complex algebra questions typical of the gmat mini quiz format.
Apply Logical Deduction -
Sharpen logical reasoning techniques by tackling GMAT math quiz logic games and identifying valid inferences.
Interpret Word Problems -
Translate real-world scenarios into solvable equations and data sets using GMAT problem solving quiz strategies.
Enhance Calculation Speed -
Boost mental math agility by practicing rapid number operations under simulated GMAT timing conditions.
Evaluate Strategic Approaches -
Learn to compare different solution paths and select the most efficient method for each free GMAT practice question.
Assess Problem-Solving Proficiency -
Benchmark your strengths and weaknesses in both math and logical puzzles to guide future GMAT prep efforts.
Cheat Sheet
Number Properties & Divisibility Tricks -
Mastering divisibility rules can speed you through GMAT arithmetic questions; for example, a number is divisible by 3 if the sum of its digits is a multiple of 3 (Khan Academy). Recall the mnemonic "3,6,9 - add them up just fine" to quickly check divisibility on the GMAT math quiz. Regular practice of prime factorization (e.g., 72 = 2³×3²) also powers up fraction simplification.
Efficient Algebraic Manipulation -
When solving equations on the GMAT problem solving quiz, isolate variables step by step: combine like terms, move constants, then divide by coefficients (MIT OpenCourseWare). Use the "keep-change-flip" trick for solving proportions, such as a/b = c/d → ad = bc, to ensure accuracy under time pressure. Familiarity with quadratic formula x = [ - b ± √(b² - 4ac)]/(2a) is essential for any polynomial challenge.
Inequalities & Number Line Strategies -
Inequalities on the GMAT mini quiz require careful attention to sign flips when multiplying or dividing by negatives (GMAC Official Guide). Sketching a number line helps visualize compound inequalities like - 2 < 3x - 1 ≤ 5; first isolate x, then map critical points for clarity. Remember the handy phrase "flip on a trip" to avoid forgetting to reverse the inequality sign.
Combinatorics: Permutations & Combinations -
Counting problems often appear on logical reasoning quiz sections, so know that permutations are nPr = n!/(n - r)! and combinations are nCr = n!/[r!(n - r)!] (National Council of Teachers of Mathematics). For instance, choosing 3 speakers from 5 candidates is 5C3 = 10 ways, but ordering them gives 5P3 = 60. Use the acronym "P comes before C" to remember that permutations consider order first.
Logic Games Setup & Diagramming -
Efficiently tackling GMAT logic games starts with clear diagrams: draw slots for order or Venn diagrams for grouping scenarios (GMAC Free Practice Questions). Label entities and constraints immediately - for example, "A before B" becomes A→B on your sketch. Developing a shorthand (e.g., "~" for not) reduces writing time and boosts accuracy.
