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Quizzes > Quizzes for Business > Education

Basic Mathematics Assessment Quiz: Test Your Skills

Sharpen your basic arithmetic and algebra skills

Difficulty: Moderate
Questions: 20
Learning OutcomesStudy Material
Colorful paper art depicting elements related to a Basic Mathematics Assessment Quiz

Ready to challenge yourself with this beginner-friendly math quiz? The Basic Mathematics Assessment Quiz covers arithmetic, algebra, and geometry in 15 multiple-choice questions that adapt to your pace. Students and educators can explore similar exercises, like the Mathematics Practice Quiz or the Basic Mathematics Skills Quiz, to continue sharpening their understanding. All questions can be freely modified in our editor - just click on quizzes to begin customizing. Dive in and boost your basic math skills today with this engaging assessment!

Evaluate the expression 5 + 7 * 2.
19
17
26
24
According to the order of operations, multiplication is performed before addition: 7 * 2 = 14, then 5 + 14 = 19.
What is 1/2 + 1/4?
2/4
1/4
3/4
5/4
Convert to a common denominator of 4: 1/2 = 2/4, so 2/4 + 1/4 = 3/4.
Convert 0.75 to a percentage.
0.75%
75%
750%
7.5%
To convert a decimal to a percentage, multiply by 100: 0.75 × 100 = 75%.
Solve for x: x + 5 = 12.
7
-7
17
5
Subtract 5 from both sides: x = 12 - 5 = 7.
What is the perimeter of a rectangle with length 4 and width 3?
14
12
24
7
Perimeter of a rectangle is 2 × (length + width) = 2 × (4 + 3) = 14.
Simplify the expression (8 - 3) * 2 + 6/3.
14
8
10
12
First compute inside parentheses: 8 - 3 = 5, multiply by 2 gives 10, then 6/3 = 2, so 10 + 2 = 12.
What is the decimal form of 7/20?
0.32
0.25
0.35
0.375
Divide 7 by 20: 7 ÷ 20 = 0.35.
A $50 shirt is discounted by 20%. What is the sale price?
$45
$50
$40
$35
20% of $50 is $10, subtract from $50 gives $40.
Solve for x: 3x - 4 = 11.
7
-5
3
5
Add 4 to both sides to get 3x = 15, then divide by 3 to get x = 5.
What is the area of a triangle with base 6 and height 4?
14
10
12
24
Area of a triangle is 1/2 × base × height = 1/2 × 6 × 4 = 12.
If A:B = 2:3 and A = 10, what is B?
6
5
15
20
The ratio 2:3 means B = (3/2) × A = (3/2) × 10 = 15.
What is 25% of 360?
180
90
75
60
25% is 1/4, so 360 ÷ 4 = 90.
Evaluate 0.6 × 0.25.
0.75
1.5
0.15
0.025
Multiply decimals: 6 × 25 = 150, with two decimal places gives 0.15.
Solve for x: x/4 = 3.
1
12
3
7
Multiply both sides by 4: x = 3 × 4 = 12.
A mixture has components in the ratio 3:5 and totals 40 liters. How many liters of the second component?
40
8
15
25
Total parts = 3 + 5 = 8, second component = 5/8 of 40 = 25 liters.
Solve the equation 2(x + 3) - 5 = 3x - 4.
-5
5
2
-1
Expand: 2x + 6 - 5 = 3x - 4, so 2x + 1 = 3x - 4, then x = 5.
In a right triangle with legs of lengths 3 and 4, what is the hypotenuse?
6
5
7
25
By the Pythagorean theorem: √(3² + 4²) = √(9 + 16) = √25 = 5.
On a map with scale 1:50,000, a distance of 5 cm represents how many kilometers in reality?
0.5 km
25 km
12.5 km
2.5 km
1 cm = 50,000 cm = 0.5 km, so 5 cm = 5 × 0.5 km = 2.5 km.
Solve for x: (2/3)x + 1/4 = 3/2.
9/8
7/4
5/3
15/8
Subtract 1/4: (2/3)x = 3/2 - 1/4 = 5/4, then x = (5/4) × (3/2) = 15/8.
A rectangular garden has length three times its width and an area of 192 m². What are its dimensions?
Width 4 m and length 12 m
Width 8 m and length 24 m
Width 6 m and length 18 m
Width 12 m and length 36 m
Let width = w, length = 3w, then w·3w = 192 → 3w² = 192 → w² = 64 → w = 8, length = 24.
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Learning Outcomes

  1. Identify key arithmetic operations and properties
  2. Apply fractions, decimals, and percentages in real-world problems
  3. Solve basic algebraic equations with confidence
  4. Analyse geometric shapes and calculate area and perimeter
  5. Demonstrate understanding of ratios and proportions
  6. Evaluate problem-solving strategies for efficiency

Cheat Sheet

  1. Master the Order of Operations (PEMDAS) - Always tackle calculations in the correct sequence: Parentheses first, then Exponents, Multiplication & Division (left to right), and finally Addition & Subtraction (left to right). Think of PEMDAS as your math GPS, guiding you through expressions like 3 + 5 × (2²) − 1 without getting lost. PERT Study Guide on Operations & Algebraic Expressions
  2. Understand Arithmetic Properties - Get friendly with the Commutative, Associative, and Distributive properties to simplify any problem faster than you can say "math whiz." Whether you're swapping a + b for b + a or breaking a(b + c) into ab + ac, these rules are the secret sauce that makes algebra a breeze. Arithmetic Properties Guide
  3. Convert Fractions to Decimals and Vice Versa - Divide the numerator by the denominator to get a decimal, and reverse by placing the decimal over its place value to form a fraction. It's like swapping costumes - 3/4 becomes 0.75, and 0.75 transforms back into 3/4. OpenStax Prealgebra: Key Concepts
  4. Perform Operations with Fractions - For adding or subtracting, hunt down a common denominator; for multiplying, just pair up numerators and denominators; for dividing, flip the second fraction and multiply. Always simplify at the end to keep your answers neat and proud. Fraction Operations Guide
  5. Work with Ratios and Proportions - Ratios compare quantities (like 3 : 4) and proportions declare two ratios equal (3/4 = 6/8). Use cross-multiplication (a/b = c/d ⇒ ad = bc) to solve any proportion problem like a pro. QuizGecko Ratios & Percentages Module
  6. Calculate Area and Perimeter of Shapes - For rectangles, area equals length × width and perimeter is 2(length + width); for triangles, area is ½ × base × height. Keep your units consistent and double-check your work to avoid sneaky slip-ups. LibreTexts Prealgebra Geometry Key Concepts
  7. Solve Basic Algebraic Equations - Isolate the variable by performing inverse operations: for 2x + 3 = 7, subtract 3 to get 2x = 4, then divide by 2 to find x = 2. Don't forget to plug your answer back in for a quick confidence check. OpenStax Elementary Algebra Concepts
  8. Understand Decimals and Percentages - Decimals are fractions with denominators of 10 powers; multiply by 100 and add "%" to turn a decimal into a percentage, or divide by 100 to go the other way. Transform 0.75 into 75% or 75% into 0.75 in a flash. QuizGecko Percentages & Decimals
  9. Apply Problem-Solving Strategies - Read each problem carefully, pinpoint what's asked, pick your method, then check the result for sense and accuracy. Practice a variety of problems to build speed, confidence, and that unbeatable "aha!" moment. EGUSD Problem Solving Strategies
  10. Use Mnemonics to Remember Concepts - Memory tricks like "Please Excuse My Dear Aunt Sally" keep PEMDAS top of mind, and you can invent your own jingle or phrase to lock down formulas and rules. Turn dry lists into catchy jingles and watch concepts stick like glue. Mnemonic Techniques on Wikipedia
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