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Quizzes > Mathematics

6th Grade Math Questions: Quick Quiz with Instant Scoring

Quick, free sixth grade math quiz to check your skills. Instant results.

Editorial: Review CompletedCreated By: Amber AllenUpdated Aug 25, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art illustration for math quiz for 6th graders on teal background

This scored quiz helps you practice 6th grade math questions, build confidence, and spot topics to review across fractions, decimals, ratios, and more. Get instant results, then try a follow‑up 6th grade math quiz, a maths quiz for grade 6, or broaden your skills with a general maths quiz.

What is the value of the digit 7 in the number 4.078?
7 thousandths
7 tenths
7 ones
7 hundredths
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Rounding 18.462 to the nearest tenth gives 18.5
True
False
undefined
Which fraction is equivalent to 3/4 and has a denominator of 8?
6/8
15/24
9/12
12/18
undefined
The fraction 24/36 simplified is 2/5
True
False
undefined
Dividing 3/4 by 2 gives 3/8
False
True
undefined
What is 4.29 + 3.6?
7.99
7.89
7.69
7.90
undefined
Which number is greater? 7/12 or 5/8
7/12
5/8
Cannot be determined
They are equal
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What is 3/5 + 2/3?
5/8
1 1/30
19/30
19/15
undefined
Evaluate 2 1/2 x 3 1/5
7 3/5
8 1/10
8
7 1/2
undefined
Compute 0.8 x 0.25
2
0.2
0.025
0.205
undefined
40% of 150 is 70
True
False
undefined
A scale drawing uses 1 cm to represent 5 m. What real length does 4.2 cm represent?
25 m
9 m
21 m
20 m
undefined
Compute 7 1/4 - 3 2/3
3 2/3
3 7/20
3 5/12
3 7/12
undefined
Find the area of a trapezoid with bases 8 m and 14 m and height 5 m
60 m^2
110 m^2
55 m^2
45 m^2
undefined
Evaluate the expression when x = -2: 4x^2 - x
-6
18
-10
6
undefined
A histogram groups data into bins; individual exact values are always visible
True
False
undefined
Estimate 49 × 21 by rounding to the nearest ten and multiplying
1,000
900
1,100
980
undefined
On a coordinate plane, reflecting (4, -2) over the x-axis gives (4, 2)
False
True
undefined
Which net could fold into a rectangular prism?
Six rectangles arranged so that four form a row with two attached to opposite sides
A single large rectangle
Four congruent squares in a 2x2 arrangement
Two triangles and three rectangles
undefined
A ratio table for equivalent ratios must have a constant multiplicative relationship between columns
False
True
undefined
0

Study Outcomes

  1. Master key 6th grade math concepts -

    Readers will recognize and recall fundamental topics in 6th grade math, from fractions to geometry, laying a strong foundation for more advanced challenges.

  2. Solve fractions and decimals problems -

    Users will confidently perform operations with fractions and decimals in various maths questions and answers, improving calculation accuracy.

  3. Execute arithmetic operations -

    Participants will apply addition, subtraction, multiplication, and division strategies to solve complex math quizzes for 6th graders.

  4. Interpret and solve geometry challenges -

    Students will analyze shapes, angles, and area problems to enhance spatial reasoning and problem-solving skills.

  5. Evaluate progress through scored feedback -

    Quiz takers will use immediate scoring to identify strengths, pinpoint areas for improvement, and track their growth over time.

Cheat Sheet

  1. Fractions Mastery -

    When tackling math questions for 6th graders that involve fractions, it's essential to find a common denominator before adding or subtracting. For multiplication, simply multiply numerators and denominators directly. A handy mnemonic from the National Council of Teachers of Mathematics (NCTM) is "Keep - Change - Flip" for dividing fractions: keep the first fraction, change the operation, and flip the second.

  2. Ratios and Proportions -

    Ratios compare two quantities, and proportions set two ratios equal to one another. Using cross-multiplication (a/b = c/d implies ad = bc) is a proven strategy on Khan Academy to solve hard math problems for 6th graders efficiently. For example, if 3/4 = x/12, multiply 3 × 12 = 4 × x to find x = 9.

  3. Geometry Essentials -

    Calculating area and perimeter of rectangles (Area = length × width) and triangles (Area = ½ × base × height) is key to most 6 grade math questions. Official guidance from Common Core encourages drawing shapes to visualize dimensions. Practicing with sample problems - like finding the area of a triangle with base 8 cm and height 5 cm - reinforces these fundamental formulas.

  4. Intro to Algebra -

    One-step equations appear frequently in math quizzes for 6th graders; mastering them builds confidence. To solve x + 7 = 15, subtract 7 from both sides (x = 15 − 7), a strategy backed by the National Education Association (NEA). Regular practice with equations like 4x = 20 or x/5 = 6 strengthens core problem-solving skills.

  5. Decimal Decoding -

    Understanding place value in decimals is crucial when dealing with money or measurements in math quizzes. Remember that moving the decimal point one place to the right multiplies by 10, and one place to the left divides by 10, a trick outlined by the Association for Supervision and Curriculum Development (ASCD). For instance, 3.56 × 10 = 35.6, and 3.56 ÷ 10 = 0.356, making hard math problems for 6th graders more approachable.

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