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Quizzes > High School Quizzes > Mathematics

Grade 6 Maths Quiz with Answers

Sharpen math skills with interactive practice tests

Difficulty: Moderate
Grade: Grade 6
Study OutcomesCheat Sheet
Paper art illustrating a fun trivia quiz for Grade 6 Maths Mastery practice.

What is the simplified form of 12/16?
3/4
4/3
6/8
5/8
12/16 can be simplified by dividing both numerator and denominator by 4, resulting in 3/4. This is the most reduced form of the fraction.
What is the value of 5 + 3 × 2?
16
11
13
10
According to the order of operations, multiplication is performed before addition. Thus, 3 × 2 equals 6, and adding 5 gives 11.
What is half of 50?
25
20
30
15
Half of a number means dividing the number by 2. Dividing 50 by 2 results in 25, which is the correct answer.
Which shape has 4 equal sides and 4 right angles?
Square
Rectangle
Rhombus
Parallelogram
A square is defined by having four equal sides and four right angles. Other shapes may have right angles or equal sides, but only the square meets both criteria.
Which of the following numbers is a prime number?
11
15
21
25
A prime number has only two distinct positive divisors: 1 and itself. The number 11 meets this criterion, making it a prime number.
Calculate the product of 2/3 and 3/4.
1/2
6/7
3/4
1/3
To multiply fractions, multiply the numerators and then the denominators. Multiplying 2/3 by 3/4 gives 6/12, which simplifies to 1/2.
Which fraction is equivalent to 0.75?
3/4
1/2
2/3
4/5
The decimal 0.75 is the same as 75/100, which simplifies to 3/4 when both numerator and denominator are divided by 25. This is the correct equivalent.
What is 15% of 200?
30
25
40
35
To determine 15% of 200, convert 15% to a decimal (0.15) and multiply by 200. The resulting calculation, 0.15 × 200, equals 30.
Which property indicates that the way numbers are grouped does not affect their sum?
Associative Property
Commutative Property
Distributive Property
Identity Property
The associative property states that the grouping of numbers in addition does not change the sum. This property is essential when simplifying expressions with multiple addends.
What is the perimeter of a rectangle with a length of 8 and a width of 3?
22
26
16
24
The perimeter of a rectangle is calculated using the formula 2 × (length + width). For a length of 8 and a width of 3, the perimeter is 2 × (8 + 3) = 22.
Which of the following numbers is a multiple of 7?
42
38
45
41
A multiple of 7 is obtained by multiplying 7 by an integer. Since 42 equals 7 multiplied by 6, it is correctly identified as a multiple of 7.
Add the fractions 3/4 and 1/8.
7/8
1/2
5/8
4/8
To add fractions, first find a common denominator. Converting 3/4 to 6/8 and then adding 1/8 gives 7/8, which is the correct sum.
Find the area of a triangle with a base of 10 and a height of 5.
25
30
50
15
The area formula for a triangle is 1/2 × base × height. Substituting the given values, 1/2 × 10 × 5 equals 25, making it the correct answer.
If a/b = 3/5 and a = 9, what is the value of b?
15
10
12
18
Setting up the proportion 9/b = 3/5, cross-multiply to get 9 × 5 = 3 × b. Solving for b gives b = 15, which is the correct value.
Which of the following best represents the decimal 0.2 as a fraction?
1/5
2/5
1/4
2/3
The decimal 0.2 is equivalent to 2/10, which can be simplified by dividing both numerator and denominator by 2. This results in 1/5, the correct fraction representation.
Evaluate the expression: 4 + 5 × 2 - 3 ÷ 3.
13
15
14
12
Following the order of operations, perform multiplication and division before addition and subtraction: 5 × 2 equals 10 and 3 ÷ 3 equals 1. Then, 4 + 10 - 1 results in 13.
A rectangular garden has an area of 54 square meters and a length of 9 meters. What is its width?
6
5
7
9
The area of a rectangle is calculated by multiplying the length by the width. Dividing the area (54) by the length (9) gives a width of 6.
Subtract 1/3 from 3/4.
5/12
1/12
7/12
3/7
To subtract the fractions, first convert them to have a common denominator. Changing 3/4 to 9/12 and 1/3 to 4/12 results in 9/12 - 4/12, which equals 5/12.
The ratio of cats to dogs in a pet store is 2:3. If there are 10 cats, how many dogs are there?
15
10
12
18
The given ratio means for every 2 cats there are 3 dogs. If 2 cats correspond to 10, then each 'unit' of the ratio equals 5. Therefore, 3 units equal 15 dogs.
Evaluate the expression: (1/2)² × 16.
4
8
16
2
First, square 1/2 to get 1/4. Multiplying 1/4 by 16 results in 4, which is the correct evaluation of the expression.
0
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Study Outcomes

  1. Understand and apply key mathematical concepts such as fractions, decimals, and percentages.
  2. Solve multi-step word problems using logical reasoning and appropriate strategies.
  3. Analyze numerical information to identify problem-solving patterns and strategies.
  4. Evaluate personal performance to pinpoint areas for improvement and confidence building.
  5. Apply mathematical concepts to real-world scenarios, reinforcing critical thinking skills.

Grade 6 Maths Worksheets with Answers Cheat Sheet

  1. Master Ratios and Unit Rates - Dive into comparing quantities like a pro by finding unit prices and ratios. Whether you're grocery shopping or tracking speed, these skills help you make smart, real-world decisions. Turn everyday choices into fun math puzzles! mathsisfun.com
  2. Divide Fractions by Fractions - Slice up pizzas or share candy by practicing fraction division with visual models and step-by-step equations. You'll see how "invert and multiply" really works and build confidence for tougher problems. Fractions have never been this playful! mathsisfun.com
  3. Operate on Multi‑Digit Decimals - Sharpen adding, subtracting, multiplying, and dividing skills by lining up those decimal points like a boss. Use real-life examples - splitting bills or measuring ingredients - to cement the standard algorithms in your brain. Watch your precision and speed soar! mathsisfun.com
  4. Explore Properties of Operations - Play around with the distributive, associative, and commutative properties to rewrite and simplify expressions in creative ways. Discover how rearranging numbers can make calculations snap into focus. You'll feel like a mathematician bending numbers to your will! thecorestandards.org
  5. Use Positive and Negative Numbers - Represent everything from ocean depths to bank account balances using signed numbers. Mastering positives and negatives turns abstract concepts into real-world scenarios - think temperatures and financial gains or losses. It's like having a math superpower for everyday life! mathsisfun.com
  6. Graph on the Coordinate Plane - Plot points, draw shapes, and solve distance puzzles by navigating the x- and y-axes like a treasure map. You'll unlock the secrets of geometry in a grid and build a strong foundation for future algebra and beyond. Maps and math - what's not to love? mathsisfun.com
  7. Calculate Areas of Polygons - Break down complex shapes into triangles, rectangles, and other neat pieces to find areas quickly. Whether planning a garden or designing a game board, decomposing shapes makes every problem approachable. Geometry becomes a hands-on adventure! thecorestandards.org
  8. Find Volume of Rectangular Prisms - Multiply length, width, and height - yes, even when they're fractions - to discover the space inside boxes and rooms. Apply this to packing, building, or stacking applications, and see volume calculations come alive in the real world. It's math you can hold! thecorestandards.org
  9. Write and Evaluate Expressions with Exponents - Learn to handle powers like a champ by rewriting expressions and simplifying with exponent rules. From squares to cubes and beyond, you'll develop a toolkit for tackling scientific notation and advanced topics later on. Exponents are your shortcut to big numbers! thecorestandards.org
  10. Analyze Data with Statistics - Crunch numbers to find the mean, median, mode, and range, turning raw data into meaningful insights. Use surveys, sports stats, or survey results to practice, and soon you'll be the go-to data detective in class. Statistics makes you a story-teller with numbers! resource.educolearningcenter.com
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