Aspiring GMAT test-takers, sharpen your skills with our new gmat mini quiz that's designed to test gmat questions across probability, algebra, and arithmetic. In just 10 quick questions, you'll measure your speed, accuracy, and strategic thinking, while exploring targeted gmat quantitative practice questions that pinpoint your strengths. Plus, get instant feedback and detailed explanations to uncover the smart shortcuts you need on exam day. Ready to level up? Dive in now and see where you stand. For deeper drills, explore our gmat math practice questions to keep your momentum going. Start the challenge today and take one step closer to GMAT success!
What is 25% of 200?
75
25
100
50
Twenty-five percent means one quarter of the total. One quarter of 200 is 200 divided by 4, which equals 50. This question tests basic percentage calculation. For more on percentage calculations, visit Khan Academy: Percent Problems.
What is the value of 7 + 5 × 2?
14
24
26
17
According to the order of operations, multiply before adding. First compute 5 × 2 = 10, then add 7 to get 17. This assesses understanding of PEMDAS. Read more at Khan Academy: Order of Operations.
If x = 3, what is 2x + 4?
8
7
6
10
Substitute x = 3 into the expression 2x + 4 to get 2(3) + 4 = 6 + 4 = 10. This tests basic substitution in algebraic expressions. For more practice, see Khan Academy: Substitution.
What is 15 multiplied by 3?
50
40
45
35
Multiplying 15 by 3 gives 45. This is a straightforward multiplication problem. It assesses basic arithmetic skills. More examples can be found at Khan Academy: Multiplication.
What is the square of 5?
15
20
30
25
The square of a number is that number multiplied by itself. Therefore, 5 × 5 = 25. This assesses knowledge of squares. For more, see Khan Academy: Number Properties.
If a number is doubled and then decreased by 3 to yield 11, what is the original number?
6
7
5
8
Let the original number be x. Then 2x ? 3 = 11, so 2x = 14 and x = 7. This tests simple linear equations. Learn more at Khan Academy: Linear Equations.
What is the least common multiple (LCM) of 3 and 4?
1
12
7
24
The multiples of 3 are 3, 6, 9, 12,… and the multiples of 4 are 4, 8, 12,… . The smallest common multiple is 12. This checks understanding of LCM. For details, see Khan Academy: LCM & GCF.
What is the greatest common divisor (GCD) of 8 and 12?
4
2
3
6
The divisors of 8 are 1, 2, 4, 8; of 12 are 1, 2, 3, 4, 6, 12. The greatest common divisor is 4. This tests factor knowledge. See more at Khan Academy: GCD & LCM.
What is 50% of 80?
40
35
30
45
Fifty percent means half. Half of 80 is 40. This checks basic percentage understanding. For extra practice, visit Khan Academy: Percentage Review.
If 3x = 15, what is x?
3
7
12
5
Divide both sides of 3x = 15 by 3 to get x = 5. This is a basic one-step equation. More examples at Khan Academy: One-Step Equations.
What is 9 squared?
90
72
18
81
9 squared means 9 × 9, which equals 81. This tests knowledge of basic squares. For more practice, see Khan Academy: Number Properties.
What is 100 minus 45?
65
55
45
40
Subtract 45 from 100 to get 55. This is a straightforward subtraction problem. For more, see Khan Academy: Arithmetic.
Express 0.2 as a fraction.
1/3
1/4
2/5
1/5
0.2 is equivalent to 2/10, which simplifies to 1/5. This tests decimal-to-fraction conversion. For details, visit Khan Academy: Decimals & Fractions.
What is 8 + 7?
17
15
16
14
Adding 8 and 7 gives 15. This is basic addition. More practice at Khan Academy: Addition.
If one item costs $4, how much do 5 items cost?
30
20
15
25
Multiply 4 dollars by 5 items to get $20. This checks simple multiplication in real-world context. See similar problems at Khan Academy: Arithmetic.
What is three-quarters of 64?
16
32
48
56
Three-quarters is 0.75 times the total. 0.75 × 64 = 48. This tests fraction-of-a-whole skills. Learn more at Khan Academy: Fractions.
What is 3^3 + 2^4?
35
43
33
31
3^3 is 27 and 2^4 is 16. Sum is 27 + 16 = 43. This assesses exponent rules. For more, see Khan Academy: Exponents.
If y = 4 and z = 2, what is y^z × z^y?
32
64
256
128
y^z = 4^2 = 16 and z^y = 2^4 = 16; their product is 16 × 16 = 256. This combines exponentiation rules. Read more at Khan Academy: Exponents.
What is the probability of flipping two heads in two flips of a fair coin?
1/8
1/3
1/2
1/4
Each flip has probability 1/2 for heads, so two heads is (1/2) × (1/2) = 1/4. This uses independent probability multiplication. For details, see Khan Academy: Probability.
A bag contains 5 red and 3 blue balls. What is the probability of drawing a blue ball?
3/8
5/8
1/2
3/5
There are 8 balls total and 3 are blue, so probability is 3/8. This checks basic probability ratios. See more at Khan Academy: Probability.
Simplify x^2 × x^3.
x^8
x^6
x^2
x^5
When multiplying like bases, add exponents: 2 + 3 = 5, so x^2 × x^3 = x^5. This tests exponent addition. Learn more at Khan Academy: Exponent Rules.
What is the 10th term of the arithmetic sequence 3, 7, 11, …?
39
35
43
44
An arithmetic sequence has difference 4. The nth term is 3 + (n?1)×4. For n=10: 3 + 9×4 = 39. This checks sequence formulas. More at Khan Academy: Sequences.
Simplify 1/2 + 1/3.
5/6
4/5
3/6
2/5
Find a common denominator (6): 1/2 = 3/6 and 1/3 = 2/6. Sum is 3/6 + 2/6 = 5/6. This tests fraction addition. See Khan Academy: Fractions.
Solve for x: 3(x ? 2) = 9.
5
6
3
1
Divide both sides by 3 to get x ? 2 = 3, then add 2 to both sides: x = 5. This tests multi-step equations. Learn more at Khan Academy: Linear Equations.
What is ?144?
11
14
12
13
The square root of 144 is the number which when squared gives 144, namely 12. This tests understanding of roots. More at Khan Academy: Square Roots.
A value is increased by 20% and then decreased by 20%. What is the net percent change?
0%
4% increase
4% decrease
16% decrease
An increase of 20% multiplies by 1.2, then a 20% decrease multiplies by 0.8. Combined factor is 1.2 × 0.8 = 0.96, a 4% decrease overall. This tests percentage change composition. Read about it at Khan Academy: Percent Change.
What is 7 choose 2 (7C2)?
14
21
28
7
nCk = n!/(k!(n?k)!). So 7C2 = 7!/(2!5!) = (7×6)/(2×1) = 21. This tests basic combinations. More at Khan Academy: Combinations.
Simplify (2x/3) ÷ (4/9).
9x/12
3x/2
x
2x/3
Division by a fraction is multiplication by its reciprocal: (2x/3) × (9/4) = (18x)/(12) = 3x/2. This tests fraction operations. See Khan Academy: Fraction Division.
A rectangle has perimeter 20 and length is twice its width. What is its area?
100/9
200/9
50/9
150/9
Let width = w, length = 2w. Perimeter = 2(w+2w)=6w=20, so w=20/6=10/3. Area = w×2w = 2w^2 = 2×(100/9) = 200/9. This tests algebraic geometry. For reference, see Khan Academy: Area.
Solve for x: 2^x = 8.
1
2
3
4
8 = 2^3, so 2^x = 2^3 implies x = 3. This tests understanding of logarithms and exponents. Learn more at Khan Academy: Exponents.
If the average of four numbers is 10 and three of them are 8, 12, and 5, what is the fourth number?
10
12
15
8
Sum of four numbers = 4×10 = 40. Sum of three given = 8+12+5 = 25, so fourth = 40?25 = 15. This tests mean calculations. For more, see Khan Academy: Mean.
A spinner has three equal sectors: red, green, and blue. What is the probability of NOT landing on blue?
2/3
1/2
1/3
3/4
Not blue means landing on red or green, which are 2 out of 3 equally likely outcomes. Probability = 2/3. This checks complementary probability. Read more at Khan Academy: Probability.
What is 4! ÷ (2! × 2!)?
8
2
4
6
4! = 24, 2! = 2, so 24 ÷ (2×2) = 24 ÷ 4 = 6. This tests factorial operations and combinations. More at Khan Academy: Factorials.
Simplify 1 ÷ (1/a + 1/b).
1/(a + b)
ab/(a + b)
(a + b)/ab
a/b + b/a
1/(1/a + 1/b) = 1/((b + a)/(ab)) = ab/(a + b). This tests complex fraction simplification. For details, see Khan Academy: Complex Fractions.
How many solutions does |2x ? 5| = 3 have?
Two
Zero
Infinite
One
Absolute value equations |2x ? 5| = 3 split to 2x ? 5 = 3 or 2x ? 5 = ?3, yielding x = 4 or x = 1. There are two distinct solutions. This tests absolute value logic. More at Khan Academy: Absolute Value.
In the system x + y = 10 and x ? y = 2, what is x?
5
6
4
8
Add the equations: (x+y)+(x?y)=10+2 ?2x=12 ?x=6. This uses elimination in linear systems. Learn more at Khan Academy: Systems of Equations.
What is the sum of the infinite geometric series 5 + 2 + 0.8 + … ?
8/5
3/2
25/3
5/3
First term a = 5, ratio r = 2/5 = 0.4. Sum = a/(1?r) = 5/(1?0.4) = 5/0.6 = 25/3. This tests infinite series formula. See Khan Academy: Geometric Series.
If f(x) = 2x + 3, what is f?¹(7)?
3
7
5
2
Set 7 = 2x + 3, solve x = (7 ? 3)/2 = 2. This is finding the inverse function value. For more, visit Khan Academy: Inverse Functions.
What is the probability of drawing two queens in succession from a standard deck without replacement?
1/221
1/34
1/52
1/169
First queen: 4/52; then 3/51. Multiply to get 12/2652 = 1/221. This tests conditional probability without replacement. See Khan Academy: Probability.
If log? x = 5, what is x?
64
8
16
32
log? x = 5 means x = 2^5 = 32. This tests understanding of logarithmic definitions. More at Khan Academy: Logarithms.
Simplify (3x²y) × (2x y³).
5x³y^3
6x³y^4
6x^2y^3
6x^4y^3
Multiply coefficients: 3×2=6; add exponents for x:2+1=3; for y:1+3=4. Result is 6x³y?. This checks monomial multiplication. Learn more at Khan Academy: Exponents.
A sequence is defined by a? = 3a??? with a? = 2. What is a??
81
18
54
24
a?=6, a?=18, a?=54. Each term multiplies the previous by 3. This tests recursive sequences. For details, see Khan Academy: Sequences.
A right triangle has sides 3, 4, and 5. What is its area?
12
6
10
7.5
The legs are 3 and 4; area = (1/2) × 3 × 4 = 6. This tests basic geometry. Read more at Khan Academy: Geometry.
A circle has circumference 10?. What is its radius?
10
20
5
2.5
Circumference = 2?r = 10?, so r = 10?/(2?) = 5. This tests circle formulas. More at Khan Academy: Circles.
Which of the following is a solution to x² ? 2x ? 8 = 0?
2
?1
8
4
Factor: (x ? 4)(x + 2) = 0, so x = 4 or x = - 2. One correct answer is 4. This tests quadratic factoring. Learn more at Khan Academy: Quadratics.
If events A and B are independent with P(A)=0.3 and P(B)=0.5, what is P(A ? B)?
0.15
0.8
0.2
0.65
For independent events, P(A ? B) = P(A) × P(B) = 0.3 × 0.5 = 0.15. This checks independence in probability. More at Khan Academy: Independent Events.
What is the present value of $100 received in 2 years at 5% annual interest?
$90.70
$92.00
$95.00
$85.00
PV = 100 / (1.05)² ? 100 / 1.1025 ? $90.70. This applies the present value formula. For more, see Khan Academy: Present Value.
How many permutations are there of 7 items taken 3 at a time (7P3)?
Three items weigh 2 kg, 5 kg, and 8 kg with prices of $10, $15, and $20 per kg respectively. What is the weighted average price per kg?
$14
$17
$16.50
$18
Total cost = 2×10 + 5×15 + 8×20 = 20 + 75 + 160 = 255; total weight = 15 kg; average = 255/15 = $17. This tests weighted averages. More at Khan Academy: Weighted Averages.
A mixture is 4% acid. Adding 2 L of water reduces the concentration to 2%. What was the initial volume of the mixture?
1 L
4 L
6 L
2 L
Let initial volume be V, acid = 0.04V. After adding 2 L, concentration = 0.04V/(V+2) = 0.02 ?0.04V = 0.02V + 0.04 ?0.02V = 0.04 ?V = 2 L. This tests mixture problems. Learn more at Khan Academy: Mixtures.
Solve for x: log?(x?1) + log?(x+1) = 2.
?10
??10
?4
4
Combine logs: log?((x?1)(x+1))=2 ?(x²?1)=3²=9 ?x²=10 ?x=±?10. Domain requires x>1, so x=?10. This tests log properties. More at Khan Academy: Logarithms.
How many distinct arrangements are there of the letters in 'MISSISSIPPI'?
What is the sum of the first 100 positive integers?
4950
5150
5000
5050
Sum = n(n+1)/2 = 100×101/2 = 5050. This uses the formula for arithmetic series. More at Khan Academy: Series.
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AI Study Notes
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Study Outcomes
Interpret Probability Scenarios -
Apply probability rules to word problems in the gmat mini quiz, enabling you to calculate likelihoods and reinforce core concepts tested on the GMAT.
Solve Algebraic Equations -
Manipulate variables and expressions to find solutions in algebra puzzles, strengthening your ability to tackle test GMAT questions with confidence.
Execute Arithmetic Operations -
Perform quick and accurate calculations involving fractions, percentages, and ratios, boosting your speed and precision for any gmat quiz.
Analyze Data Critically -
Evaluate patterns and relationships in quantitative data sets, sharpening your critical thinking skills for gmat quantitative practice questions.
Evaluate Quantitative Proficiency -
Assess your performance across ten focused questions to identify strengths and target areas for improvement in your GMAT preparation.
Cheat Sheet
Core Probability Formulas -
Review the fundamental rules: P(A or B) = P(A) + P(B) - P(A and B), and for independent events P(A and B) = P(A) × P(B). For example, rolling a six”sided die gives P(even) = 1/2 and P(multiple of 3) = 1/2, so P(even or multiple of 3) = 1/2 + 1/2 - 1/6 = 5/6 (MIT OpenCourseWare).
Efficient Algebraic Manipulations -
Master isolating variables, factoring, and the quadratic formula x = [ - b ± √(b² - 4ac)]❄(2a) with a mnemonic like "Minus, plus, square, over two a." These techniques streamline complex GMAT equations by breaking them into simpler binomials (Harvard University Math Department).
Number Properties & Divisibility Tricks -
Memorize quick tests: sum of digits for 3 and 9, last two digits for 4, or alternating sum for 11. For instance, 918 → 9+1+8=18, so divisible by 9. These shortcuts save precious exam time (University of California Math Resources).
Combinatorics with the Pigeonhole Principle -
Use the idea that if n+1 items go into n boxes, one box holds at least two items. E.g., 13 socks into 12 drawers guarantee a pair in one drawer. This principle underlies many GMAT counting problems (Stanford Online).
Bounding via Inequalities -
Apply AM - GM: (x+y)/2 ≥ √(xy) to bound values, or use x² ≥ 0 to derive x ≥ 0 or x ≤ 0. For example, solve x+y=10 with max product when x=y=5. Inequalities give quick insights on range (GMAC Official Guide).
