Rational Numbers - Worksheet 8 - 6th Grade

Hard

Understand rational numbers and their position in the coordinate plane (Hard)

18 problems · 15-20 minutes · Skills: rational numbers, coordinate plane

About This Worksheet

This hard-level worksheet contains 18 problems designed for 6th Grade students practicing rational numbers. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Rational numbers encompass all the numbers students will use through middle school. Understanding how fractions, decimals, and integers relate to one another builds a complete mental model of the number line.

  • Identify rational numbers as any number expressible as a fraction
  • Plot rational numbers on a number line and in all four quadrants of a coordinate plane
  • Order rational numbers including negative fractions and decimals
  • Classify numbers as integers, whole numbers, or rational numbers
  • Determine which of two rational numbers is closer to zero on a number line

How to Solve: Worked Example

Example Problem: Solve the first problem on the worksheet.
Solution Steps:
  1. Read the problem carefully.
  2. Identify what is being asked.
  3. Use what you know to find the answer.
  4. Check your work.
Answer: See the answer key below
Tip: Take your time and read each problem carefully before answering!
1
1 + 11 =
2
12 + 14 =
3
6 + 12 =
4
2 + 15 =
5
4 + 12 =
6
10 + 4 =
7
15 + 16 =
8
2 + 13 =
9
1 + 4 =
10
5 + 18 =
11
20 + 9 =
12
12 + 12 =
13
15 + 17 =
14
5 + 6 =
15
15 + 12 =
16
9 + 10 =
17
19 + 2 =
18
3 + 13 =

Answer Key

1. 122. 263. 184. 175. 166. 147. 318. 159. 510. 2311. 2912. 2413. 3214. 1115. 2716. 1917. 2118. 16

Frequently Asked Questions

How do I download this rational numbers - worksheet 8 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this the number system worksheet cover?

This worksheet focuses on rational numbers, coordinate plane. It is designed for 6th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 18 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.