Foundation Review · Grades 5–8

Arithmetic and Number Sense Practice Test

Strengthen the number skills that support Algebra, Geometry, Statistics, SAT Math, ACT Math, and everyday problem solving. Choose a focused topic, answer 20 multiple-choice questions, and learn from instant feedback and explanations.

No registration Instant explanations Unlimited attempts High school prerequisite review
Why This Section Is Here

Foundation Skills for High School Mathematics

Arithmetic and number sense are prerequisite skills rather than the main high school curriculum. This section is designed primarily for Grades 5–8, while also giving older students a fast way to review weak areas before Algebra, Geometry, Statistics, SAT Math, or ACT Math.

Start with a mixed or diagnostic test if you are unsure what to review. Then move to focused topics such as integer operations, fractions, percentages, ratios, exponent rules, scientific notation, divisibility, GCD and LCM, or mental math.

All Practice Tests

Browse 116 Arithmetic and Number Sense Tests

Search by test name or jump directly to a topic group.

Showing all 116 tests

Fractions Practice Test
Fractions and Decimals · Arithmetic and Number Sense
Grades 5–8 20 qs. Open
Equivalent Fractions Practice Test
Fractions and Decimals · Arithmetic and Number Sense
Grades 5–8 20 qs. Open
Simplifying Fractions Practice Test
Fractions and Decimals · Arithmetic and Number Sense
Grades 5–8 20 qs. Open
Comparing Fractions Practice Test
Fractions and Decimals · Arithmetic and Number Sense
Grades 5–8 20 qs. Open
Adding and Subtracting Fractions Practice Test
Fractions and Decimals · Arithmetic and Number Sense
Grades 5–8 20 qs. Open
Multiplying Fractions Practice Test
Fractions and Decimals · Arithmetic and Number Sense
Grades 5–8 20 qs. Open
Dividing Fractions Practice Test
Fractions and Decimals · Arithmetic and Number Sense
Grades 5–8 20 qs. Open
Mixed Numbers Practice Test
Fractions and Decimals · Arithmetic and Number Sense
Grades 5–8 20 qs. Open
Improper Fractions Practice Test
Fractions and Decimals · Arithmetic and Number Sense
Grades 5–8 20 qs. Open
Decimals Practice Test
Fractions and Decimals · Arithmetic and Number Sense
Grades 5–8 20 qs. Open
Adding and Subtracting Decimals Practice Test
Fractions and Decimals · Arithmetic and Number Sense
Grades 5–8 20 qs. Open
Multiplying Decimals Practice Test
Fractions and Decimals · Arithmetic and Number Sense
Grades 5–8 20 qs. Open
Dividing Decimals Practice Test
Fractions and Decimals · Arithmetic and Number Sense
Grades 5–8 20 qs. Open
Fractions to Decimals Practice Test
Fractions and Decimals · Arithmetic and Number Sense
Grades 5–8 20 qs. Open
Decimals to Fractions Practice Test
Fractions and Decimals · Arithmetic and Number Sense
Grades 5–8 20 qs. Open
Why Review Arithmetic?

Number Skills Support Every High School Course

A short foundation review can remove calculation errors and make advanced problem solving more efficient.

Prepare for Algebra

Integer operations, fractions, ratios, exponents, and number properties appear throughout equations, functions, and polynomial work.

Support Geometry and Statistics

Accurate percentages, proportions, roots, estimation, and measurement skills help with formulas, data, probability, scale, and applications.

Improve Exam Efficiency

Faster calculation and stronger number sense leave more time for reasoning on SAT, ACT, school exams, and mixed high school practice.

Practice Plan

A Simple Three-Step Review Method

Use the tests diagnostically instead of completing every topic in order.

1

Take a Mixed Test

Begin with Number Sense, Mixed Arithmetic, or High School Number Sense to identify the skills that need attention.

2

Practice Weak Topics

Choose focused tests for fractions, percentages, ratios, exponents, scientific notation, divisibility, GCD and LCM, or mental math.

3

Review and Retest

Read the explanation after each answer, repeat the topic, and return to a mixed test to check whether accuracy and speed have improved.

Skills Covered

Arithmetic and Number Sense Topics

  • Natural numbers, whole numbers, integers, and number lines
  • Integer addition, subtraction, multiplication, and division
  • Fractions, mixed numbers, decimals, and conversions
  • Percentages, percent change, discounts, and sales tax
  • Ratios, rates, proportions, scale factors, and word problems
  • Powers, roots, exponent rules, and powers of ten
  • Scientific notation and standard form
  • Rounding, estimation, approximation, and reasonable answers
  • Divisibility, factors, multiples, primes, and composites
  • Prime factorization, GCD, LCM, and factor trees
  • Place value, absolute value, arithmetic properties, and patterns
  • Mental math, timed arithmetic, challenge, and mixed review

Ready for High School Math?

After reviewing foundation skills, continue with a full high school course or exam-preparation section.