A fifth grader stumbles on "dribble", "puzzle" and "stumble". Which syllable pattern do the three words share in their last syllable?IES What Works Clearinghouse practice guide, Foundational Skills to Support Reading for Understanding in Kindergarten Through 3rd Grade (NCEE 2016-4008), Recommendation 3. Framework section: Part One, Competency 0001, 1.1 Knowledge of Language and Literacy Development
A long narrative poem opens by calling on the muse and goes on to superhuman deeds and fabulous adventures in highly stylized language. Which form do those elements mark?Academy of American Poets, glossary of poetic terms, Epic. Framework section: Part One, Competency 0001, 1.2 Knowledge of English Language Arts
A poem tells, in four-line stanzas that rhyme the second and fourth lines, how a sailor's luck turns, and it hurries to a dramatic close. By the Academy of American Poets glossary, which form is it?Academy of American Poets, glossary of poetic terms, Ballad. Framework section: Part One, Competency 0001, 1.2 Knowledge of English Language Arts
Show all 40 questions (37 more)
Knowledge of literacy and language arts, continued
A poet writes a formal address to a nightingale that is not there to hear it. Which form does the Academy of American Poets glossary define in those terms?Academy of American Poets, glossary of poetic terms, Ode. Framework section: Part One, Competency 0001, 1.2 Knowledge of English Language Arts
A seventh grader writes: "Our town should build a skate park. A survey found that 212 of 300 students would use one every week." In the glossary of the New York standards, what is the second sentence?New York State English Language Arts Learning Standards (2017), Glossary, Claim and Evidence. Framework section: Part One, Competency 0001, 1.2 Knowledge of English Language Arts
A sixth grader presents findings that are sound, but he stares at the floor, mumbles and trails off. Which delivery features does the grade 6 speaking standard name?New York State English Language Arts Learning Standards (2017), 6SL4. Framework section: Part One, Competency 0001, 1.2 Knowledge of English Language Arts
A sixth grader says "necessary" and "rhythm" correctly and uses both in speech, yet writes "nesesary" and "rithum" in every draft. Of the kinds of language processing the framework lists, which one is weak?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part One, Competency 0001, 1.1 Knowledge of Language and Literacy Development
A sixth-grade teacher pairs "finger : hand" with "chapter : book" and asks what the two pairs have in common. Which word relationship named in the grade 6 language standard is at work?New York State English Language Arts Learning Standards (2017), 6L5b. Framework section: Part One, Competency 0001, 1.1 Knowledge of Language and Literacy Development
A story about a storm leaves readers uneasy, while its narrator describes the damage in a dry, joking voice. By the glossary of the New York standards, which pairing is right?New York State English Language Arts Learning Standards (2017), Glossary, Mood and Tone. Framework section: Part One, Competency 0001, 1.2 Knowledge of English Language Arts
A student who arrived from another country this year can explain the theme of a story in her home language but not yet in English. What do the New York standards say about students in English as a New Language and Bilingual Education programs?New York State English Language Arts Learning Standards (2017), 6th Grade Introduction, English Language Learners/Multilingual Learners. Framework section: Part One, Competency 0001, 1.1 Knowledge of Language and Literacy Development
An eighth grader says a text "can't be a poem" because it has no set form and no regular meter; its lines follow the rhythms of speech. Which term fits the poem?Academy of American Poets, glossary of poetic terms, Free Verse. Framework section: Part One, Competency 0001, 1.2 Knowledge of English Language Arts
In "program" and "tornado", the syllables "pro", "na" and "do" each end with a long vowel sound spelled with a single vowel letter. What are such syllables called?IES What Works Clearinghouse practice guide, Foundational Skills to Support Reading for Understanding in Kindergarten Through 3rd Grade (NCEE 2016-4008), Recommendation 3. Framework section: Part One, Competency 0001, 1.1 Knowledge of Language and Literacy Development
In a class novel the narrator writes in formal sentences while the characters speak in the informal talk of their neighborhood. What does the grade 5 language standard ask students to compare and contrast?New York State English Language Arts Learning Standards (2017), 5L3b. Framework section: Part One, Competency 0001, 1.2 Knowledge of English Language Arts
In a seventh-grade discussion a student hears a classmate's evidence, says "I hadn't thought of that", and revises her position. Which expectation of the grade 7 speaking and listening standards is she meeting?New York State English Language Arts Learning Standards (2017), 7SL1d. Framework section: Part One, Competency 0001, 1.2 Knowledge of English Language Arts
New York's core conventions skills for grades 6 to 8 name three verbals: gerunds, participles and infinitives. In "Skating on the pond is Dana's favorite winter habit", what is "Skating"?Purdue Online Writing Lab, Gerunds; New York State English Language Arts Learning Standards (2017), Appendix A, Core Conventions Skills for Grades 6 to 8. Framework section: Part One, Competency 0001, 1.1 Knowledge of Language and Literacy Development
Two sixth graders in one class open the same article. One finds it hard going and the other reads it with ease. What do New York's text complexity expectations for grade 6 tell the teacher to do?New York State English Language Arts Learning Standards (2017), Text Complexity Expectations for 6th Grade. Framework section: Part One, Competency 0001, 1.1 Knowledge of Language and Literacy Development
Which sentence is compound-complex, the fourth sentence type named in New York's core conventions skills for grades 6 to 8?New York State English Language Arts Learning Standards (2017), Appendix A, Core Conventions Skills for Grades 6 to 8. Framework section: Part One, Competency 0001, 1.1 Knowledge of Language and Literacy Development
Instruction in foundational literacy skills 17
A fifth grader reads "a stitch in time saves nine" and asks who was sewing. Which part of the grade 5 language standards covers sayings like this one?New York State English Language Arts Learning Standards (2017), 5L5b. Framework section: Part One, Competency 0002, 2.1 Instruction in Language Vocabulary
A fifth grader strings every fact in a report together with "and then". The grade 5 standard on acquiring academic words names words that signal contrast, addition and other logical relationships. Which set is the standard's own?New York State English Language Arts Learning Standards (2017), 5L6. Framework section: Part One, Competency 0002, 2.1 Instruction in Language Vocabulary
A fifth grader writes: "We walked to the pond and see a heron." Which core conventions skill for grades 3 to 5 in the New York standards names the error?New York State English Language Arts Learning Standards (2017), Appendix A, Core Conventions Skills for Grades 3 to 5. Framework section: Part One, Competency 0002, 2.2 Instruction in Language Knowledge
A reading intervention teacher chooses a passage somewhat above her eighth graders' independent reading levels. How does the IES guide for grades 4–9 say such "stretch text" should be read?IES What Works Clearinghouse practice guide, Providing Reading Interventions for Students in Grades 4–9 (WWC 2022007), Recommendation 4. Framework section: Part One, Competency 0002, 2.3 Text Complexity and Instruction in Text Comprehension
A seventh grader writes: "Walking to school, the rain soaked my backpack." Which core conventions skill for grades 6 to 8 addresses the sentence?New York State English Language Arts Learning Standards (2017), Appendix A, Core Conventions Skills for Grades 6 to 8. Framework section: Part One, Competency 0002, 2.2 Instruction in Language Knowledge
A seventh-grade teacher plans lessons on brief references to people, events and literary works outside the text, which authors expect readers to recognize. Which kind of figurative language does the grade 7 standard name here?New York State English Language Arts Learning Standards (2017), 7L5a. Framework section: Part One, Competency 0002, 2.1 Instruction in Language Vocabulary
A sixth grader stalls on "unpredictable". In the routine the IES guide for grades 4–9 gives for reading multisyllabic words, what is the first step?IES What Works Clearinghouse practice guide, Providing Reading Interventions for Students in Grades 4–9 (WWC 2022007), Recommendation 1. Framework section: Part One, Competency 0002, 2.2 Instruction in Language Knowledge
A sixth-grade social studies teacher pulls four words from a chapter on ancient river valleys: "irrigation", "ziggurat", "cuneiform" and "establish". In the framework's terms, which one is a general academic (Tier Two) word?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part One, Competency 0002, 2.1 Instruction in Language Vocabulary
A student meets an unknown word. In the routine of the IES guide for grades 4–9, after marking the word and rereading its own sentence for clues, what comes next?IES What Works Clearinghouse practice guide, Providing Reading Interventions for Students in Grades 4–9 (WWC 2022007), Recommendation 3, Part A. Framework section: Part One, Competency 0002, 2.1 Instruction in Language Vocabulary
A teacher has seventh graders reread one passage four times "to get faster", and they groan. What does the IES guide for grades 4–9 suggest instead?IES What Works Clearinghouse practice guide, Providing Reading Interventions for Students in Grades 4–9 (WWC 2022007), Recommendation 2. Framework section: Part One, Competency 0002, 2.3 Text Complexity and Instruction in Text Comprehension
After each short section of an article, students mark the most important who or what, list the important information about it, and write one sentence in their own words. Which routine from the IES guide for grades 4–9 is this?IES What Works Clearinghouse practice guide, Providing Reading Interventions for Students in Grades 4–9 (WWC 2022007), Recommendation 3, Part C. Framework section: Part One, Competency 0002, 2.3 Text Complexity and Instruction in Text Comprehension
An eighth grader writes "If I was principal, I would shorten the day", and a classmate suggests "If I were". The grade 8 standard on knowledge of language names this verb mood for which effect?New York State English Language Arts Learning Standards (2017), 8L3a. Framework section: Part One, Competency 0002, 2.2 Instruction in Language Knowledge
An eighth grader writes: "When Maya met Ana, she gave her the book." Readers cannot tell who gave the book. Which core conventions skill for grades 6 to 8 applies?New York State English Language Arts Learning Standards (2017), Appendix A, Core Conventions Skills for Grades 6 to 8. Framework section: Part One, Competency 0002, 2.2 Instruction in Language Knowledge
Before a small group reads a passage on erosion, the teacher writes two words on the board and gives each a quick, simple meaning. By the IES guide on reading interventions for grades 4–9, which words earn that time?IES What Works Clearinghouse practice guide, Providing Reading Interventions for Students in Grades 4–9 (WWC 2022007), Recommendation 3, Part A. Framework section: Part One, Competency 0002, 2.1 Instruction in Language Vocabulary
New York's text complexity expectations for grade 6 distinguish two uses of text whose complexity should differ. Which two?New York State English Language Arts Learning Standards (2017), Text Complexity Expectations for 6th Grade. Framework section: Part One, Competency 0002, 2.3 Text Complexity and Instruction in Text Comprehension
Quoting a long sentence in a report, a sixth grader leaves out its middle clause. Which mark do New York's core punctuation skills for grades 6 to 8 name for showing what was left out?New York State English Language Arts Learning Standards (2017), Appendix A, Core Punctuation and Spelling Skills for Grades 6 to 8. Framework section: Part One, Competency 0002, 2.2 Instruction in Language Knowledge
To show a group why prosody matters, which demonstration does the IES guide for grades 4–9 describe?IES What Works Clearinghouse practice guide, Providing Reading Interventions for Students in Grades 4–9 (WWC 2022007), Recommendation 2. Framework section: Part One, Competency 0002, 2.3 Text Complexity and Instruction in Text Comprehension
Instruction in English language arts 6
A team of grade 5 and grade 6 teachers lines up New York's argument-writing standards. What does standard 6W1a add that 5W1a does not ask?New York State English Language Arts Learning Standards (2017), 5W1a and 6W1a. Framework section: Part One, Competency 0003, 3.3 Instruction in Writing Different Types of Text
Before a unit on argument, a seventh-grade teacher gives a short on-demand prompt and sorts the papers by what each writer needs. Which recommendation of the IES guide on teaching secondary students to write is she following?IES What Works Clearinghouse practice guide, Teaching Secondary Students to Write Effectively (NCEE 2017-4002), Recommendation 3. Framework section: Part One, Competency 0003, 3.3 Instruction in Writing Different Types of Text
Eighth graders study an infographic that a soft drink maker published on "staying hydrated". Beyond analyzing its purpose, what does the grade 8 speaking and listening standard have them evaluate?New York State English Language Arts Learning Standards (2017), 8SL2. Framework section: Part One, Competency 0003, 3.5 Instruction in Speaking and Listening
Fifth graders gather facts for a report from three websites and a library book. Besides summarizing or paraphrasing what they find, what does New York's grade 5 research standard require?New York State English Language Arts Learning Standards (2017), 5W7. Framework section: Part One, Competency 0003, 3.4 Instruction in Writing and Research to Build and Present Knowledge
In an eighth-grade novel study, students hunt for the single line of dialogue that pushes a character into a decision. Which part of New York's grade 8 standard for literary texts is the task built on?New York State English Language Arts Learning Standards (2017), 8R3. Framework section: Part One, Competency 0003, 3.1 Instruction in Reading Literature
Sixth graders read two accounts of a river flood, one by a reporter who lives in the valley and one by a writer in a distant city. Which informational-text expectation of the grade 6 standards fits the lesson?New York State English Language Arts Learning Standards (2017), 6R6. Framework section: Part One, Competency 0003, 3.2 Instruction in Reading Informational Text
How this list was compiled: Our own questions, written to Part One: Literacy and English Language Arts (field 231) of the NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017 (https://www.nystce.nesinc.com/content/docs/NY_fld231_232_245_objs.pdf, read 2026-10-14): Knowledge of Literacy and Language Arts 17 selected-response items, Instruction in Foundational Literacy Skills 17, Instruction in English Language Arts 6. The bank holds the same 17, 17 and 6. Terms, practices and quotations were checked on 2026-10-14 against the page each question names: the grade 5 to grade 8 standards, the conventions bands and the glossary of the New York State English Language Arts Learning Standards of 2017 (https://www.nysed.gov/sites/default/files/programs/curriculum-instruction/nys-next-generation-ela-standards.pdf); the Institute of Education Sciences practice guides Providing Reading Interventions for Students in Grades 4–9 (WWC 2022007), Foundational Skills to Support Reading for Understanding (NCEE 2016-4008) and Teaching Secondary Students to Write Effectively (NCEE 2017-4002); the Academy of American Poets glossary; and the Purdue Online Writing Lab. Licence: Questions, choices and explanations are original work of this site. Quoted lines are from public documents.
Mathematics: all 40 questions
Number systems 9
A lighthouse lamp flashes every 14 seconds and a buoy light every 35 seconds. They flash together at 9:00:00 p.m. A student says they next flash together after 7 seconds. What is right, and what did the student find?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0001, 1.1 Number and Operations
A printer lays down 2.5 × 10⁻³ gram of toner on each page. How much toner do 6 × 10⁴ pages take?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0001, 1.3 Rational and Real Number Systems
A recipe table lists 1.5 cups of rice for 6 servings, 2.5 cups for 10 and 4 cups for 16. With c cups and s servings, which equation fits the table?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0001, 1.2 Ratios and Proportional Relationships
Show all 40 questions (37 more)
Number systems, continued
A student estimates the mass of a rock sample at 68 grams. The balance reads 80 grams. What is the percent error of the estimate?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0001, 1.2 Ratios and Proportional Relationships
A student is placing √90 on a number line marked in tenths. Between which two marks does it lie?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0001, 1.3 Rational and Real Number Systems
Fifth graders put 2,750 × 11/12, 2,750 × 12/11 and 2,750 × 1 in order without computing. Which order, least to greatest, is right, and why?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0001, 1.1 Number and Operations
One printer makes 132 pages in 5 1/2 minutes. A second makes 105 pages in 4 1/5 minutes. Which is faster, and by how much?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0001, 1.2 Ratios and Proportional Relationships
To show why 3 3/4 ÷ 5/8 = 6, a teacher asks how many 5/8-yard ribbons can be cut from 3 3/4 yards. One student computes 4/15 × 5/8 instead. What does that product equal, and what went wrong?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0001, 1.1 Number and Operations
Which fraction equals 0.1454545..., in which the block 45 repeats without end?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0001, 1.3 Rational and Real Number Systems
Algebra and functions 17
A $1,200 scooter loses 15% of its value every year. Which function gives its value after t years, and what is the value after 2 years?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0002, 2.2 Functions
A student rewrites 7 − 2(3x − 4) as 5(3x − 4). Which expression is equivalent to the original, and what did the student do?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0002, 2.1 Algebra
A student says a relation is a function "whenever no y-value repeats". Which set shows the rule is wrong, because it is a function in which a y-value does repeat?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0002, 2.2 Functions
A student solves −3x + 7 ≥ 22 and writes x ≥ −5. What should the solution be, and what was missed?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0002, 2.1 Algebra
A student uses the identity (a + b)(a − b) = a² − b² to find 47 × 53 mentally, writing it as (50 − 3)(50 + 3). What is the product?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0002, 2.1 Algebra
A taxi fare table shows $9.50 for a 2-mile ride and $18.50 for a 6-mile ride. If the fare is a linear function of the miles, what are the charge per mile and the fixed starting charge?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0002, 2.2 Functions
The equation 3x² − 10x − 8 = 0 has which solutions?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0002, 2.1 Algebra
For nonzero x and y, which expression is equal to (3x²y⁻¹)³ ÷ (9x⁴y)?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0002, 2.1 Algebra
For p(x) = 2x² − 5x + 1, a student computes p(−3) as −32. What is the correct value?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0002, 2.2 Functions
The graph of f(x) = x² is moved to give g(x) = (x + 5)² − 3. A student places the new vertex at (5, −3). Where is it?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0002, 2.2 Functions
In a toothpick pattern, figure 1 uses 7 toothpicks, figure 2 uses 12 and figure 3 uses 17. If the pattern continues, how many toothpicks does figure 40 use?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0002, 2.2 Functions
One teacher buys 5 protractors and 3 compasses for $19.50. Another buys 2 protractors and 6 compasses, at the same prices, for $21.00. What does one compass cost?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0002, 2.1 Algebra
Solve 5(2x − 3) − 4 = 3(x + 10).NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0002, 2.1 Algebra
The volume of water in a tank, in liters, t minutes after a drain opens is V(t) = 450 − 18t. What does the t-intercept of the graph tell you?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0002, 2.2 Functions
Wherever both are defined, (x² − 16)/(2x² − 8x) is equal to which expression?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0002, 2.1 Algebra
Which is the complete factorization of 3x² − 12x − 96?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0002, 2.1 Algebra
With 36 meters of fencing, the area of a rectangular pen of width w meters is A(w) = w(18 − w). Which width gives the greatest area, and what is that area?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0002, 2.2 Functions
Measurement, geometry, statistics and probability 14
A cylinder of radius 6 cm holds water. A solid sphere of radius 3 cm is lowered in until it is fully under water, and nothing spills. By how much does the water level rise?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0003, 3.1 Measurement and Geometry
A drone flies in a straight line from a launch pad at (−7, 3) to a marker at (8, −5), with coordinates in meters. How far does it fly?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0003, 3.1 Measurement and Geometry
A garden bed is a parallelogram with a 22-foot base and 13-foot slanted sides; its width, measured at right angles to the base, is 12 feet. A student multiplies 22 by 13. What is the area of the bed?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0003, 3.1 Measurement and Geometry
A line of fit for a plant's height in centimeters, y, after x weeks is y = 2.4x + 6.5. A plant measured at 7 weeks stands 21 cm tall. What is its residual, observed minus predicted?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0003, 3.2 Data and Statistics and Probability
A middle school has 840 students. Which plan gives a random sample for estimating how many bike to school, and what estimate follows if 12 of the 60 sampled bike?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0003, 3.2 Data and Statistics and Probability
A photograph 12 cm by 18 cm is enlarged so that its shorter side is 30 cm. How long is the longer side, and how many times as large is the area?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0003, 3.1 Measurement and Geometry
A spinner has five equal sections, two green and three white. It is spun twice. What is the probability of at least one green?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0003, 3.2 Data and Statistics and Probability
A straight ramp 13 feet long rises 5 feet. For the angle the ramp makes with the level ground, which ratio is the cosine?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0003, 3.1 Measurement and Geometry
An isosceles triangle has a vertex angle of (4x − 8)° and two base angles of (x + 22)° each. What is the measure of the vertex angle?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0003, 3.1 Measurement and Geometry
Eleven students logged these reading minutes: 12, 15, 18, 20, 22, 25, 30, 34, 35, 40, 58. What are the median and the interquartile range?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0003, 3.2 Data and Statistics and Probability
Lines m and n are parallel. A transversal forms same-side interior angles of (2x + 15)° and (3x − 10)°. What is the measure of the larger angle?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0003, 3.1 Measurement and Geometry
Of 80 seventh graders, 48 are in band. Thirty of the band members and 12 of the others study a language. Which statement reads the two-way table correctly?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0003, 3.2 Data and Statistics and Probability
Two classes each have a mean quiz score of 15. Class A scored 13, 14, 15, 16 and 17; Class B scored 5, 10, 15, 20 and 25. How do their mean absolute deviations compare?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0003, 3.2 Data and Statistics and Probability
Vertex A(−2, 5) of a triangle is rotated 180° about the origin, and the image is then reflected across the x-axis. Where does A end up?NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017: Part Two, Competency 0003, 3.1 Measurement and Geometry
How this list was compiled: Our own questions, written to Part Two: Mathematics (field 232) of the NYSTCE Multi-Subject: Teachers of Middle Childhood (Grade 5–Grade 9) (231/232/245) Assessment Design and Framework, October 2017 (https://www.nystce.nesinc.com/content/docs/NY_fld231_232_245_objs.pdf, read 2026-10-14): Number Systems 9 selected-response items, Algebra and Functions 17, Measurement, Geometry, Statistics, and Probability 14. The bank holds the same 9, 17 and 14. Every answer is mathematics worked from what the question prints, and each was worked out a second time on 2026-10-14. Licence: Questions, choices and explanations are original work of this site.
How it works
This NYSTCE Multi-Subject 5-9 practice test has two sets of our own questions: literacy and English language arts (231) and mathematics (232). It is unofficial and has no tie to the New York State Education Department or Pearson, which neither endorse nor sponsor it.
Read the full guide
What each set follows
The framework of October 2017 gives Part One 17 questions on knowledge of literacy and language arts, 17 on teaching foundational literacy skills and 6 on teaching English language arts. Part Two has 9 on number systems, 17 on algebra and functions and 14 on measurement, geometry, statistics and probability. Each set here holds the same numbers.
The clock
The framework plans up to 60 minutes for the 40 selected-response questions of Part One and 75 for those of Part Two; a timed run here uses the same clocks. Each real part adds one written response, which this page does not mark.
The real Part Two supplies an on-screen scientific calculator and a formulas page, both linked from the test's own page.
Questions and answers
What is on the NYSTCE Multi-Subject 5-9 test?
Three parts: literacy and English language arts (231), mathematics (232) and arts and sciences (245). Parts One and Two each have 40 selected-response questions and one written response. Part Three has 40 selected-response questions and no writing.
What is the passing score for the Multi-Subject 5-9 CST?
The test's own page gives 520 for each part and says all three parts must be taken and passed to qualify for certification in this field. A scaled score is not a count of right answers.
Is the Multi-Subject 5-9 test different from the 7-12 test?
In mathematics, yes. The 7-12 framework plans 5 questions on number and quantity, 20 on algebra and functions and 15 on geometry and statistics: fewer on number and more on algebra than this test's 9, 17 and 14.
Do you retake Part Three for a second Multi-Subject certificate?
No. The NYSTCE site says Part Three is shared by all four Multi-Subject tests, so a candidate seeking more than one Multi-Subject certificate needs to pass Part Three only once.