NYSTCE Multi-Subject: Childhood (Grades 1-6), Part Two: Mathematics (222) Practice Tests
Prepare for the NYSTCE Multi-Subject: Childhood (Grades 1-6), Part Two: Mathematics (222): 40 selected-response questions and 1 constructed-response item in 2 hours 15 minutes, covering 5 content areas: Number and Operations (5%), Ratios and Proportional Relationships and Number Systems (30%), Algebra, Measurement, Geometry, and Data (35%), Instruction in Mathematics (10%) and Analysis, Synthesis, and Application (20%).
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NYSTCE Multi-Subject: Childhood (Grades 1-6), Part Two: Mathematics (222): Test at a Glance
Facts as published by the official test program.
Part Two of the NYSTCE Multi-Subject: Teachers of Childhood (Grade 1 to Grade 6) assessment (field 222) covers mathematics. It has 40 selected-response questions and 1 constructed-response item, with 135 minutes of testing time. A standard 4-function on-screen calculator is provided.
The official framework lists 5 competencies: Number and Operations (5%); Ratios and Proportional Relationships and Number Systems (30%); Algebra, Measurement, Geometry, and Data (35%); Instruction in Mathematics (10%); Analysis, Synthesis, and Application (20%).
The constructed response is scored by qualified New York State educators on a four-point scale, without knowing the candidate's identity.
This is Part Two of the Multi-Subject assessment. Each part is scored separately, and you must pass every required part to qualify for certification.
Passing score: A total score of 520 or higher (scale 400 to 600).
NYSTCE Multi-Subject: Childhood (Grades 1-6), Part Two: Mathematics (222): Exam Blueprint
Content categories and approximate weighting from the official test framework.
1. Number and Operations
5%Competency 0001 makes up about 5% of the 222 score. It covers: operations and algebraic thinking; base ten and fractions.
- Operations and algebraic thinking: Operations and their relationships, such as division as an unknown-factor problem; Properties of factors and multiples; Writing and interpreting numerical expressions; Patterns, including features not explicit in their rules; Order of operations extended to algebraic expressions, equations and inequalities; Equivalent expressions from properties of operations; Linear equations, inequalities and simultaneous linear equations
- Base ten and fractions: Place value; rounding and operations with multidigit whole numbers; Decimal notation; comparing decimals, decimal fractions and fractions; Justifying computational algorithms; Number theory: primes, divisibility, factors, GCF, LCM; Operations with fractions, decimals and signed rational numbers; Real-world problems with the four operations on rational numbers
2. Ratios and Proportional Relationships and Number Systems
30%Competency 0002 makes up about 30% of the 222 score. It covers: ratios and proportional relationships; rational and real number systems.
- Ratios and proportional relationships: Unit rates: unit pricing, constant speed, ratios of lengths, areas and other measures; Percents as rates per 100; percent problems; Constant of proportionality in tables, graphs, equations, diagrams and verbal descriptions; Multistep ratio and percent problems: interest, commissions, percent change, percent error; Links between proportional relationships, lines and linear equations; Using similar triangles to show constant slope
- Rational and real number systems: Irrational numbers and rational approximations; Repeating decimals and their conversion to rationals; Integer and rational exponents; rewriting radicals; Square and cube roots; Operations with scientific notation; Using units to guide multistep problems
3. Algebra, Measurement, Geometry, and Data
35%Competency 0003 makes up about 35% of the 222 score. It covers: algebra; measurement and geometry; data, statistics and probability.
- Algebra: Vocabulary and structure of expressions; Equivalent forms: factoring quadratics, completing the square, exponent properties; Polynomial arithmetic; relationships between zeros and factors; One-variable equations and inequalities (linear, quadratic, simple rational, exponential); Equations in two or more variables and their graphs; systems of equations and inequalities; Function concept, domain and range, function notation; Function features in context: intercepts, maxima and minima, zeros, asymptotes, end behavior; Linear, quadratic, exponential and other function families across representations
- Measurement and geometry: Shape attributes, symmetry, lines and angles; Measurement and unit conversion; Angle measure, perimeter, area, surface area and volume; Congruence through rotations, reflections and translations; Graphing points and shapes on the coordinate plane; Pythagorean theorem, including coordinate distance; Similarity through scale factors
- Data, statistics and probability: Line plots, bar graphs and picture graphs; Statistical variability; dot plots, histograms and box plots; Random sampling and population inferences; Informal and comparative inferences using center and variability; Chance processes and probability models, including independent and dependent events; Bivariate data: scatter plots, linear models, two-way tables
4. Instruction in Mathematics
10%Competency 0004 makes up about 10% of the 222 score. It covers: number, operations and algebraic thinking; fractions, ratios and proportional relationships; measurement and data.
- Number, operations and algebraic thinking: Teaching whole-number properties, counting, composing and decomposing numbers; Teaching place value and the meaning of the equal sign; Developing fluency with operations and teaching one- and two-step problems; Teaching rounding, multidigit operations and justifying algorithms; Extending number understanding to rational numbers; extending order of operations to algebra; Teaching equations and inequalities; using variables to represent relationships
- Fractions, ratios and proportional relationships: Teaching fractions as numbers, equivalence and ordering; Building fractions from unit fractions; Teaching decimal notation and decimal operations; Rate, ratio and unit rate, and their links to multiplication, division and fractions; Ratio reasoning with tables, tape diagrams, double number lines, equations and coordinate plots
- Measurement and data: Describing and comparing measurable attributes; Classifying and counting objects; Indirect measurement; standard length units; Linking addition and subtraction to length, and multiplication to area; Teaching time and money; Teaching perimeter, area and volume; Representing data; variability, measures of center and distribution shape
5. Analysis, Synthesis, and Application
20%Competency 0005 makes up about 20% of the 222 score and is the constructed-response item. It covers: constructed response.
- Constructed response: Analyze student work and assessment data to track progress and identify strengths and needs; Identify errors and misconceptions in student work; Describe effective, content-specific instructional strategies for identified needs; Generate real-world scenarios that illustrate mathematical concepts; Justify why the chosen strategies promote understanding
Study Guide by Content Category
Use this section to plan your study time. Each topic comes from the official content categories for NYSTCE Multi-Subject: Childhood (Grades 1-6), Part Two: Mathematics (222).
Category 1 · Number and Operations
About 5% of the exam- Operations and algebraic thinking Review Operations and their relationships, such as division as an unknown-factor problem; Properties of factors and multiples; Writing and interpreting numerical expressions; Patterns, including features not explicit in their rules; Order of operations extended to algebraic expressions, equations and inequalities; Equivalent expressions from properties of operations; Linear equations, inequalities and simultaneous linear equations.
- Base ten and fractions Review Place value; rounding and operations with multidigit whole numbers; Decimal notation; comparing decimals, decimal fractions and fractions; Justifying computational algorithms; Number theory: primes, divisibility, factors, GCF, LCM; Operations with fractions, decimals and signed rational numbers; Real-world problems with the four operations on rational numbers.
Category 2 · Ratios and Proportional Relationships and Number Systems
About 30% of the exam- Ratios and proportional relationships Review Unit rates: unit pricing, constant speed, ratios of lengths, areas and other measures; Percents as rates per 100; percent problems; Constant of proportionality in tables, graphs, equations, diagrams and verbal descriptions; Multistep ratio and percent problems: interest, commissions, percent change, percent error; Links between proportional relationships, lines and linear equations; Using similar triangles to show constant slope.
- Rational and real number systems Review Irrational numbers and rational approximations; Repeating decimals and their conversion to rationals; Integer and rational exponents; rewriting radicals; Square and cube roots; Operations with scientific notation; Using units to guide multistep problems.
Category 3 · Algebra, Measurement, Geometry, and Data
About 35% of the exam- Algebra Review Vocabulary and structure of expressions; Equivalent forms: factoring quadratics, completing the square, exponent properties; Polynomial arithmetic; relationships between zeros and factors; One-variable equations and inequalities (linear, quadratic, simple rational, exponential); Equations in two or more variables and their graphs; systems of equations and inequalities; Function concept, domain and range, function notation; Function features in context: intercepts, maxima and minima, zeros, asymptotes, end behavior; Linear, quadratic, exponential and other function families across representations.
- Measurement and geometry Review Shape attributes, symmetry, lines and angles; Measurement and unit conversion; Angle measure, perimeter, area, surface area and volume; Congruence through rotations, reflections and translations; Graphing points and shapes on the coordinate plane; Pythagorean theorem, including coordinate distance; Similarity through scale factors.
- Data, statistics and probability Review Line plots, bar graphs and picture graphs; Statistical variability; dot plots, histograms and box plots; Random sampling and population inferences; Informal and comparative inferences using center and variability; Chance processes and probability models, including independent and dependent events; Bivariate data: scatter plots, linear models, two-way tables.
Category 4 · Instruction in Mathematics
About 10% of the exam- Number, operations and algebraic thinking Review Teaching whole-number properties, counting, composing and decomposing numbers; Teaching place value and the meaning of the equal sign; Developing fluency with operations and teaching one- and two-step problems; Teaching rounding, multidigit operations and justifying algorithms; Extending number understanding to rational numbers; extending order of operations to algebra; Teaching equations and inequalities; using variables to represent relationships.
- Fractions, ratios and proportional relationships Review Teaching fractions as numbers, equivalence and ordering; Building fractions from unit fractions; Teaching decimal notation and decimal operations; Rate, ratio and unit rate, and their links to multiplication, division and fractions; Ratio reasoning with tables, tape diagrams, double number lines, equations and coordinate plots.
- Measurement and data Review Describing and comparing measurable attributes; Classifying and counting objects; Indirect measurement; standard length units; Linking addition and subtraction to length, and multiplication to area; Teaching time and money; Teaching perimeter, area and volume; Representing data; variability, measures of center and distribution shape.
Category 5 · Analysis, Synthesis, and Application
About 20% of the exam- Constructed response Review Analyze student work and assessment data to track progress and identify strengths and needs; Identify errors and misconceptions in student work; Describe effective, content-specific instructional strategies for identified needs; Generate real-world scenarios that illustrate mathematical concepts; Justify why the chosen strategies promote understanding.
Registration, Test Day and Scoring
- Test options
- Test center
- Passing score
- 520 (scale 400-600)
How to Register
- 1Confirm which tests you need
The New York State Education Department sets certification requirements. Check the requirements for your certificate with the Department or your preparation program.
- 2Register on the NYSTCE site
Create an account at nystce.nesinc.com, choose the test and an appointment, and pay when you register.
- 3Prepare with the official framework
The test framework lists every competency and its weight, and the site has a preparation guide with sample questions.
Fees
$59 (Part Two costs $59. Taking all three parts (221, 222 and 245) at one administration totals $161.). Fees can change, so confirm the amount on the NYSTCE site when you register.
Test day
NYSTCE tests are computer-based and are scheduled through the NYSTCE site (nystce.nesinc.com), run by Pearson for the New York State Education Department.
Candidates set their own pace within the total testing time, which covers both the selected-response and constructed-response parts.
Read the NYSTCE registration bulletin for arrival and identification requirements before your appointment.
Scoring
Total test scores range from 400 to 600, and a score of 520 or above passes.
Each correct selected-response answer counts equally and wrong answers carry no penalty. At least two qualified New York State educators score each constructed response, without knowing the candidate's identity, on a four-point scale.
Who Takes NYSTCE Multi-Subject: Childhood (Grades 1-6), Part Two: Mathematics (222)?
Candidates seeking New York certification to teach grades 1 to 6. The Multi-Subject: Childhood assessment has three parts, and you must pass all three. Part Two (222) is the mathematics part.
Teacher candidates who want a separate math attempt. Each part is scored on its own, so you can retake Part Two without retaking the others.
How to Prepare for NYSTCE Multi-Subject: Childhood (Grades 1-6), Part Two: Mathematics (222)
- 1Start with the official preparation materials
Read the official NYSTCE test framework for field 222. It lists each competency and its weight.
- 2Study by weight
Give the most time to Algebra, Measurement, Geometry, and Data (about 35%), but cover every category.
- 3Algebra, geometry and data carry the most weight
Competency 0003 is 35% of the score and ratios and number systems (0002) is 30%. Together that is 65% of the test, so start there.
- 4Practice the written response
Competency 0005 is a constructed response worth 20%. You analyze student work, name errors and misconceptions, describe content-specific strategies and justify them.
- 5Know how to teach it
Competency 0004 (10%) asks how to teach number, fractions, ratios, measurement and data in a way that builds understanding, not only how to compute.
- 6Use the calculator wisely
A standard 4-function on-screen calculator is provided, so practice with one and know when mental or written methods are faster.
- 7Pace yourself
Testing time is 135 minutes, split into 75 minutes for the selected-response items and 60 minutes for the constructed response.
- 8Answer every question
There is no penalty for wrong answers on the selected-response questions, so never leave one blank.
NYSTCE Multi-Subject: Childhood (Grades 1-6), Part Two: Mathematics (222): Frequently Asked Questions
What is the passing score for NYSTCE Multi-Subject: Childhood (Grades 1-6), Part Two: Mathematics (222)?+
A total score of 520 or higher (scale 400 to 600).
What is on NYSTCE Multi-Subject: Childhood (Grades 1-6), Part Two: Mathematics (222)?+
40 selected-response questions and 1 constructed-response item, in 2 hours and 15 minutes.
How much does NYSTCE Multi-Subject: Childhood (Grades 1-6), Part Two: Mathematics (222) cost?+
$59 (Part Two costs $59. Taking all three parts (221, 222 and 245) at one administration totals $161.). Fees can change, so confirm the amount on the official site.
How many questions are on NYSTCE Multi-Subject: Childhood (Grades 1-6), Part Two: Mathematics (222) and how long is it?+
40 selected-response questions and 1 constructed-response item, with 135 minutes of testing time plus about 15 minutes for the tutorial and nondisclosure agreement.
Which competency carries the most weight on NYSTCE Multi-Subject: Childhood (Grades 1-6), Part Two: Mathematics (222)?+
Algebra, Measurement, Geometry, and Data carries the most weight at about 35% of the score.
How many competencies are on NYSTCE Multi-Subject: Childhood (Grades 1-6), Part Two: Mathematics (222)?+
The official framework lists 5 competencies.
Do I have to pass all three parts of the Multi-Subject assessment?+
Yes. Each part has its own passing standard of 520 and you must take and pass all three parts to qualify for certification in the field. Part Three (245) is shared across all Multi-Subject certificates, so you pass it only once.
Is a calculator provided?+
Yes. A standard 4-function on-screen calculator is provided during Part Two.
What score do I need to pass a NYSTCE test?+
You need a total score of 520 or higher on the 400 to 600 scale.
Is there a penalty for guessing?+
No. Each correct selected-response answer counts equally and wrong answers carry no penalty, so answer every question.
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Start Practice Free →Sources: NYSTCE Multi-Subject: Childhood (221/222/245) test details, fees and time; NYSTCE Fields 221/222/245 test design and framework (official PDF); Multi-Subject: Childhood preparation materials; NYSTCE candidate score reports explained. Always confirm current requirements, fees and passing scores with the official program before you register.
ApexTeachersPrep is independent and is not affiliated with or endorsed by New York State Education Department. Last reviewed: October 31, 2026.