Rational Numbers Quiz

Name:

Date:

📚 Part 1: Multiple Choice

1. What is 2/3 + 1/4?

5/7

11/12

3/5

7/12

2. Which number is rational?

√2

0.75

3. A thermometer reads -5°F in the morning and rises by 3.5°F by noon. What is the noon temperature?

-1.5°F

-8.5°F

1.5°F

-2°F

4. Check all that represent the same number as 3/4:

0.75

6/8

75%

0.705

✏️ Part 2: Short Answer — Solve problems with rational numbers

I can: Use rational numbers (fractions, decimals, negatives) to solve problems, including cases involving surface area and volume.

Success criteria: I can write an expression, perform operations with rational numbers, and give an answer in simplest form or a labeled decimal.

Differentiation strategies: Provide fraction-decimal conversion supports, allow calculators for arithmetic where needed, and give step prompts for students who need them.

Extension: Create a real-world problem using rational dimensions and find exact surface area and volume; justify choices and units.

Dyslexia-friendly option: Read problems aloud, use larger spacing, and highlight key numbers; allow oral responses if needed.

5. Compute: (-3/4) ÷ (1/2). Show your work and write the answer in simplest form.

6. A small box measures 2.5 in by 1 1/2 in by 4/5 in. Find its volume in cubic inches. Show calculation and final value with units.

7. Find the total surface area of a rectangular prism with length 7/2 ft, width 5/3 ft, and height 2 ft. Give an exact answer as a fraction (square feet) and a decimal rounded to two decimal places.

8. A runner does 3 3/4 miles on Monday and 2.6 miles on Tuesday. How many miles did they run in total? Show the sum.

🧭 Part 3: Reflection & Extension

9. Extension challenge: Design a rectangular prism using only rational-number dimensions (mix of fractions and decimals). Write the dimensions, then calculate both volume and surface area. Show work.

10. Reflection: Which part of solving rational-number problems was easiest for you and which part was most challenging? Describe one strategy you will use next time.