Skip to content

Home
Equity with Hecht-Calandra
Practice Questions
Try the Test!
Handbooks
FAQs

Search Practice Questions

Search the questions

Look for the words in

Questions and answer choices
Reading passages
Explanations

Filters, order and number of questions

YearsYears

One year, a list or a range. Questions so far come from 2026, 2025, 2024, 2023, 2018.

Section

English 397
Math 460

Format

Equation editor 10
Fill the blanks 11
Grid-in 43
Multiple choice 776
Multiple response 11
Number line 3
Table grid 3

Question type

English

Revising/editing 71

All revising/editing 71
Punctuation 10
Sentence structure 8
Grammar and usage 7
Combining and revising sentences 6
Precise language and style 9
Transitions 7
Organization 5
Supporting details 11
Introductions and conclusions 13

Reading comprehension 326

All reading comprehension 326
Central idea and theme 71
Key details 17
Textual evidence 70
Inferences and conclusions 11
Word meaning and figurative language 49
Text structure 92
Author's purpose and point of view 32
Development of ideas and characters 30

Math

Numbers and operations 138

All numbers and operations 138
Arithmetic and order of operations 24
Fractions and decimals 55
Number properties 33
Exponents and roots 11
Number line and absolute value 27
Patterns and sequences 5

Ratios, rates and percents 143

All ratios, rates and percents 143
Ratios 18
Rates and speed 19
Proportions and scale 45
Percents 48
Unit conversion 19

Expressions and equations 93

All expressions and equations 93
Algebraic expressions 23
Linear equations 43
Inequalities 20
Two-variable problems 6
Functions and slope 1

Geometry 58

All geometry 58
Angles and lines 13
Triangles and the Pythagorean theorem 1
Area and perimeter 20
Circles 12
Volume and surface area 13
Coordinate plane 3

Statistics and probability 83

All statistics and probability 83
Mean, median, mode and range 18
Probability 40
Counting and arrangements 18
Tables, charts and graphs 13

NYS standard

English

7R reading 326

All 7R reading 326
7R1 textual evidence and inferences 132
7R2 theme or central idea 80
7R3 plot elements and ideas 92
7R4 word meaning and choice 75
7R5 structure and genre features 106
7R6 point of view and author position 45
7R8 evaluating arguments and claims 20

7W writing 42

All 7W writing 42
7W1 argument writing 10
7W1a introducing claims and counterclaims 3
7W1b supporting claims with evidence 3
7W1c precise language for arguments 1
7W1d transitions in arguments 1
7W1e concluding an argument 2
7W1f argument style and tone 1
7W2 informative/explanatory writing 32
7W2a introducing and organizing a topic 8
7W2b developing a topic 8
7W2d transitions in informative writing 10
7W2e concluding informative writing 5
7W2f informative writing style 3

7L language 83

All 7L language 83
7L1 grammar and usage conventions 20
7L2 capitalization, punctuation, and spelling 13
7L3 knowledge of language 14
7L3a precise and concise language 12
7L4 unknown and multiple-meaning words 10
7L4a context clues 9
7L4b Greek and Latin affixes and roots 1
7L5 figurative language and word relationships 38
7L5a interpreting allusions 11
7L5c connotation and denotation 13

Math

6.RP ratios and proportional relationships 100

All 6.RP ratios and proportional relationships 100
6.RP.1 ratio concepts and language 12
6.RP.2 unit rate concept 2
6.RP.3 ratio and rate reasoning 92
6.RP.3a tables of equivalent ratios 4
6.RP.3b unit rate problems 24
6.RP.3c percent as a rate per 100 29
6.RP.3d converting measurement units 24

6.NS the number system 103

All 6.NS the number system 103
6.NS.1 dividing fractions by fractions 18
6.NS.2 multi-digit division 8
6.NS.3 multi-digit decimal operations 30
6.NS.4 common factors and multiples 19
6.NS.5 positive and negative numbers 2
6.NS.6 rational numbers on number lines 12
6.NS.6c positioning rational numbers and points 12
6.NS.7 ordering and absolute value 21
6.NS.7a inequality as relative position 9
6.NS.7b order statements in context 1
6.NS.7c absolute value as distance 9
6.NS.7d absolute value versus order 2

6.EE expressions, equations, and inequalities 75

All 6.EE expressions, equations, and inequalities 75
6.EE.1 whole-number exponent expressions 8
6.EE.2 expressions with variables 29
6.EE.2a writing algebraic expressions 5
6.EE.2b parts of an expression 3
6.EE.2c evaluating expressions and order of operations 21
6.EE.3 generating equivalent expressions 2
6.EE.4 identifying equivalent expressions 1
6.EE.5 solutions and substitution 7
6.EE.6 variables representing unknown numbers 6
6.EE.7 one-step equations 17
6.EE.8 writing simple inequalities 11
6.EE.9 dependent and independent variables 3

6.G geometry 25

All 6.G geometry 25
6.G.1 area of polygons 13
6.G.2 volume with fractional edge lengths 6
6.G.3 polygons in the coordinate plane 3
6.G.4 nets and surface area 3
6.G.5 perfect squares and perfect cubes 7

6.SP statistics and probability 54

All 6.SP statistics and probability 54
6.SP.1b samples and populations 5
6.SP.3 measures of center and variation 3
6.SP.5 summarizing data sets 21
6.SP.5a number of observations 5
6.SP.5c range, center, and overall pattern 17
6.SP.6 probability from 0 to 1 4
6.SP.7 long-run relative frequency 4
6.SP.8 probability models for simple events 23
6.SP.8a uniform probability models 20
6.SP.8b probability models from observed frequencies 2

7.RP ratios and proportional relationships 87

All 7.RP ratios and proportional relationships 87
7.RP.1 unit rates with fractions 7
7.RP.2 proportional relationships 25
7.RP.2a testing for proportionality 4
7.RP.2b constant of proportionality 20
7.RP.2c proportional relationship equations 5
7.RP.2d points on proportional graphs 4
7.RP.3 multistep ratio and percent problems 55

7.NS the number system 78

All 7.NS the number system 78
7.NS.1 adding and subtracting rational numbers 39
7.NS.1a opposite quantities making 0 1
7.NS.1b rational number addition 6
7.NS.1c rational number subtraction 30
7.NS.1d properties for adding and subtracting 6
7.NS.2 multiplying and dividing rational numbers 30
7.NS.2a rational number multiplication 13
7.NS.2b rational number division 9
7.NS.2c properties for multiplying and dividing 4
7.NS.2d fractions to decimals by long division 7
7.NS.3 four operations with rational numbers 22

7.EE expressions, equations, and inequalities 98

All 7.EE expressions, equations, and inequalities 98
7.EE.1 linear expressions with rational coefficients 24
7.EE.2 rewriting expressions to show relationships 11
7.EE.3 multi-step rational number problems 9
7.EE.4 equations and inequalities from problems 67
7.EE.4a two-step equations 36
7.EE.4b two-step inequalities 19

7.G geometry 41

All 7.G geometry 41
7.G.1 scale drawings 10
7.G.3 slicing three-dimensional solids 1
7.G.4 circle area and circumference 12
7.G.5 angle relationships and equations 13
7.G.6 area, surface area, and volume 5

7.SP statistics and probability 42

All 7.SP statistics and probability 42
7.SP.1 box plots and interquartile range 10
7.SP.4 comparative inferences about populations 1
7.SP.8 compound event probability 32
7.SP.8a compound event as fraction of outcomes 16
7.SP.8b sample spaces for compound events 26

8.NS the number system 1

All 8.NS the number system 1
8.NS.1 decimal expansions and irrational numbers 1

8.EE expressions, equations, and inequalities 22

All 8.EE expressions, equations, and inequalities 22
8.EE.1 integer exponent properties 2
8.EE.2 square and cube roots 3
8.EE.7 linear equations in one variable 15
8.EE.7b linear equations with rational coefficients 12
8.EE.8 systems of linear equations 3
8.EE.8c systems in real-world problems 3

8.F functions 1

All 8.F functions 1
8.F.4 modeling with linear functions 1

8.G geometry 11

All 8.G geometry 11
8.G.4 similarity and dilations 2
8.G.5 angle sums, transversals, angle-angle similarity 9

Compared with grade 7

Below grade 7 165
At grade 7 491
Above grade 7 201

What makes it hard

Understanding the question

A lot to read 24
Complex sentences 70
Hard words 64
A question in the negative 1
An unfamiliar subject 3
Figurative or literary language 70
Turning words into math 161
Reading a figure, table or graph 108
Variables instead of numbers 51

Working it out

Many steps 99
Much to keep track of 75
No obvious method 30
Combines ideas 36
Error-prone arithmetic 168
Something you must already know 154
Reading between the lines 176
Evidence in several places 112
How, not what 90
A rule that doesn't sound wrong 19
How sentences fit together 37

Choosing the answer

A very close wrong answer 258
The right answer is reworded 51
Every choice must be checked 129
An answer in an unexpected form 69
Slow to do carefully 2

Traps and wrong-answer types

Math

Stops one step early 132
Answers a different question 116
Percent of the wrong amount 16
Units or scale 20
Counting the ends 33
Negatives and direction 60
Order of operations 21
Trusting the picture 4
Information you don't need 11
Overlapping groups 12
A formula you must know 20
Answer in another form 11
Without replacement 11
Wrong operation 89
Follows a key word 7
Equation written backwards 5
Checks only one number 6
Rounds too early 19
Wrong formula 35
Numbers taken from the question 119
A faulty procedure 73
Misunderstands the concept 123
An arithmetic slip 46
Misreads the question 94
Misreads the figure 27

Reading

True but not the answer 61
Too narrow 54
Too broad or too strong 55
Wrong part of the text 90
Outside knowledge 50
Reversed relationship 10
Half right 51
Taking figurative language literally 18
Dictionary meaning, not meaning here 15
Supports only part of the claim 59
Twists what the text says 136
Word match 24
Wrong purpose or structure 48
Reads too much in 144
Wrong tone or attitude 53

Revising and editing

Changes the meaning 6
Wordy, vague or informal 13
Fragment or run-on 1
Agreement 2
Misplaced modifier 3
Verb tense or form 3
Unclear pronoun 1
Punctuation 10
Wrong transition 12
Off the point 18
Says it twice 3
Sentence in the wrong place 5
Fixes what isn't broken 16

Either section

NOT, LEAST or EXCEPT 2
Little reason to choose it 86

Tags

Figure 49
Graph 42
Informational text 231
Literary prose 67
Poem 71
Table 35
Word problem 262

Leave out questions whose figure is missing

Test

2018 Test A English 57
2018 Test A Math 57
2018 Test B English 57
2018 Test B Math 57
2023 Test A English 57
2023 Test A Math 57
2023 Test B English 57
2023 Test B Math 57
2024 Test A English 57
2024 Test A Math 57
2024 Test B English 57
2024 Test B Math 57
2025 Practice Test A English 57
2025 Practice Test A Math 57
2025 Practice Test B English 57
2025 Practice Test B Math 57
2026 Practice Test A English 50
2026 Practice Test A Math 50
2026 Practice Test B English 51
2026 Practice Test B Math 50
2026 Practice Test C English 50
2026 Practice Test C Math 50
2026 Practice Test D English 50
2026 Practice Test D Math 50

Order

Test order
A to Z
Z to A
Random

Questions in the testQuestions in the test

Clear the search

Search tips

Every word must appear. A word also finds longer words that start with it, and plurals: angle finds angles.
Put words in quotes to find them exactly, as a phrase: "central idea".
Put a minus sign before a word to leave out questions that have it: -poem.
You can type filters too: year:2015-2018 section:math type:percents format:grid-in tag:poem trap:partial-answer driver:many-steps. A minus sign leaves one out: -type:inference.
Choosing several options under one filter finds questions with any of them; different filters must all match.
Random order keeps the questions on one reading passage together, and a random test keeps its order when you retake it.

40 questions match

You searched for

question type Probability ×

Take these 40 questions as a practice test

A basket contains 3 apples, 4 oranges, 5 bananas, and 8 pears. If one piece of fruit is randomly pulled from the basket, what…2026 Practice Test B Math, question 13
- Type Probability
- NYS standards 6.SP.8a, 6.SP.6
- Difficulty 1 of 5
- Level Below grade 7
- Format Number line
A spinner has 5 congruent sections labeled as shown. One side of a fair coin is heads, and the other side is tails. The…2026 Practice Test C Math, question 12
- Type Probability
- NYS standards 7.SP.8a, 6.SP.6
- Difficulty 3 of 5
- Format Number line
A bag contains 40 tiles that are either red, green, or blue. A tile is selected at random, the color is recorded, and the…2026 Practice Test C Math, question 33
- Type Probability
- NYS standards 6.SP.7, 6.RP.3
- Difficulty 2 of 5
A teacher will randomly select 3 students to be on a school committee. He will choose either a student from Classroom A or a…2026 Practice Test C Math, question 34
- Type Probability
- NYS standards 7.SP.8b, 7.SP.8a
- Difficulty 2 of 5
A deck of 52 playing cards contains 13 hearts. Sara has 12 cards from this deck in her hand, 3 of which are hearts.…2026 Practice Test C Math, question 36
- Type Probability
- NYS standards 6.SP.8a
- Difficulty 2 of 5
The table shows the probability of randomly picking each flavor of candy from a bowl. PICKING CANDY FROM A BOWL Flavor Probability Butterscotch 0.57…2026 Practice Test C Math, question 37
- Type Probability
- NYS standards 6.SP.6, 6.NS.7
- Difficulty 1 of 5
- Level Below grade 7
In a school raffle, 1 out of every 25 students wins a prize. Each prize includes a randomly selected trading card from a set…2026 Practice Test D Math, question 5
- Type Probability
- NYS standards 7.SP.8a, 6.SP.8a
- Difficulty 2 of 5
- Format Equation editor
A middle school library has a shelf with 40 books, each labeled with a different number from 201 to 240. One book is selected…2026 Practice Test D Math, question 7
- Type Probability
- NYS standards 6.SP.8a, 6.RP.3c
- Difficulty 2 of 5
- Level Below grade 7
- Format Grid-in
Karl has one red spinner and one blue spinner. Each spinner is divided into 4 equal sections, numbered 1 through 4. He spins each…2026 Practice Test D Math, question 29
- Type Probability
- NYS standards 7.SP.8a, 7.SP.8b
- Difficulty 3 of 5
Last week, Emily rode the bus to school on 3 of the 5 mornings and rode the bus home on 4 of the 5…2026 Practice Test D Math, question 34
- Type Probability
- NYS standards 7.SP.8a, 6.SP.8b
- Difficulty 3 of 5
The table shows the probabilities of a hockey team scoring different numbers of goals in a game. HOCKEY GOAL PROBABILITIES Number of Goals Probability…2026 Practice Test D Math, question 39
- Type Probability
- NYS standards 6.SP.8, 6.NS.3
- Difficulty 1 of 5
- Level Below grade 7
A program on a computer randomly generates a sequence of whole numbers from 1 to 9, inclusive. If the computer generates a sequence of…2024 Test A Math, question 15
- Type Probability
- NYS standards 6.SP.7, 6.SP.8a
- Difficulty 2 of 5
The probability of drawing a red candy at random from a bag of 25 candies is 2/5. After 5 red candies are removed from…2024 Test A Math, question 17
- Type Probability
- NYS standards 6.SP.8a, 6.RP.3
- Difficulty 3 of 5
The probability of an event occurring is 0.05. What is the chance that the event will occur?2024 Test A Math, question 54
- Type Probability
- NYS standards 6.SP.6
- Difficulty 1 of 5
- Level Below grade 7
A bowl contains 12 green candies, 4 yellow candies, and some red candies. The probability of choosing a green candy at random is twice…2024 Test B Math, question 17
- Type Probability
- NYS standards 6.SP.8a, 6.EE.7
- Difficulty 4 of 5
- Level Above grade 7
Jar Q contains 12 balls, and Jar R contains 8 balls. The probability of drawing a yellow ball at random from Jar Q is…2024 Test B Math, question 29
- Type Probability
- NYS standards 6.SP.8a, 6.RP.3
- Difficulty 3 of 5
A bag contains 2 green, 4 blue, and 3 yellow disks. Alana selects 4 disks from the bag at random, one at a time,…2024 Test B Math, question 41
- Type Probability
- NYS standards 7.SP.8a, 7.SP.8b
- Difficulty 4 of 5
- Level Above grade 7
A box contains a total of 30 paper clips with colors in the ratio red:white:blue=2:5:3. Suppose that one paper clip of each color is…2024 Test B Math, question 45
- Type Probability, Ratios
- NYS standards 6.SP.8a, 6.RP.3
- Difficulty 3 of 5
Chris has 1 red shirt, 2 white shirts, and 3 black shirts. Chris picks a shirt at random. Without putting the first shirt back,…2024 Test B Math, question 50
- Type Probability
- NYS standards 7.SP.8a, 7.SP.8b
- Difficulty 3 of 5
- Level Above grade 7
Five numbered balls are placed in two boxes as shown in the figure above. Davina picks one ball at random from Box B and…2024 Test B Math, question 52
- Type Probability
- NYS standards 7.SP.8a, 7.SP.8b
- Difficulty 5 of 5
- Level Above grade 7
{0.1, 0.01, 0.001, 0.0001, 0.00001} If a person chooses a number at random from the set above, what is the probability that the number…2023 Test A Math, question 23
- Type Probability, Fractions and decimals
- NYS standards 6.SP.8a, 6.NS.7a
- Difficulty 2 of 5
- Level Below grade 7
A student uses Spinner R and Spinner T to generate a list of two-digit numbers. Spinner R determines the digit in the tens place,…2023 Test A Math, question 24
- Type Probability, Number properties
- NYS standards 7.SP.8b, 7.SP.8a
- Difficulty 4 of 5
- Level Above grade 7
A basket contains red balls, green balls, and white balls. There are 12 red balls in the basket. The probability of randomly choosing a…2023 Test A Math, question 27
- Type Probability
- NYS standards 6.SP.8a, 6.RP.3
- Difficulty 2 of 5
Lamel has a jar containing 6 red chips, 10 blue chips, and 4 yellow chips. If he removes one chip at random, what is…2023 Test A Math, question 30
- Type Probability
- NYS standards 6.SP.8a
- Difficulty 2 of 5
- Level Below grade 7
At West College, students are randomly assigned to one of 20 dormitories and one of 6 dining rooms. Kharleen likes 6 of the dormitories…2023 Test A Math, question 53
- Type Probability
- NYS standards 7.SP.8a, 6.RP.3c
- Difficulty 3 of 5
Chanelle selects a marble from a container and then returns it to the container. When she does this 3 times, the probability of choosing…2023 Test A Math, question 57
- Type Probability, Exponents and roots
- NYS standards 7.SP.8a, 8.EE.2
- Difficulty 3 of 5
- Level Above grade 7
Shiow-Chen has a box that contains 4 green cards, 7 yellow cards, and 6 red cards. She randomly draws one card at a time…2023 Test B Math, question 13
- Type Probability
- NYS standards 6.SP.8a
- Difficulty 3 of 5
Micha is playing a game with five cards numbered 1 through 5. He will place the cards in a bag and draw one card…2023 Test B Math, question 53
- Type Probability
- NYS standards 7.SP.8a, 7.SP.8b
- Difficulty 2 of 5
A box contains 14 red marbles, 10 black marbles, and 16 white marbles. How many more white marbles need to be added to the…2023 Test B Math, question 57
- Type Probability, Linear equations
- NYS standards 6.SP.8a, 7.RP.3
- Difficulty 4 of 5
- Level Above grade 7
A box of colored pencils contains exactly 6 red pencils. The probability of choosing a red pencil from the box is 2/7. How many…2018 Test A Math, question 16
- Type Probability
- NYS standards 6.SP.8a, 6.RP.3
- Difficulty 2 of 5
In a sample of 10 cards, 4 are red and 6 are blue. If 2 cards are selected at random from the sample, one…2018 Test A Math, question 21
- Type Probability
- NYS standards 7.SP.8a, 7.SP.8b
- Difficulty 4 of 5
- Level Above grade 7
A box contains 5 strawberry candies, 3 banana candies, and 2 orange candies. If Braden selects 2 candies at random from this box, without…2018 Test A Math, question 42
- Type Probability
- NYS standards 7.SP.8a
- Difficulty 4 of 5
- Level Above grade 7
A sports store has a container of handballs: 4 blue, 5 red, 8 yellow, 9 white, and 11 green. If one ball is picked…2018 Test A Math, question 51
- Type Probability
- NYS standards 6.SP.8a
- Difficulty 1 of 5
- Level Below grade 7
DESSERT CHOICES Dessert Number of Times Ordered Cookies 42 Pie 23 Cake 47 Ice Cream 48 The table above shows the number of times…2018 Test B Math, question 13
- Type Probability
- NYS standards 6.SP.8b, 6.RP.3c
- Difficulty 1 of 5
- Level Below grade 7
A cooler contains three types of beverages: 5 bottles of apple juice, 3 bottles of grape juice, and 6 bottles of orange juice. What…2018 Test B Math, question 16
- Type Probability
- NYS standards 6.SP.8a
- Difficulty 2 of 5
- Level Below grade 7
PET SURVEY Number of Pets Number of Students 0 12 1 16 2 7 3 or more 5 Amy surveyed students at her school…2018 Test B Math, question 32
- Type Probability
- NYS standards 6.SP.8a, 6.SP.5a
- Difficulty 2 of 5
- Level Below grade 7
In a sample of 50 cars at a local dealership, there are 12 red cars and 10 cars with backup cameras. Of the 12…2018 Test B Math, question 46
- Type Probability, Counting and arrangements
- NYS standards 7.SP.8a, 7.SP.8b
- Difficulty 4 of 5
- Level Above grade 7
ANIMAL CARDS Number of Cards Picture on Card 8 cat 6 dog 5 bird 4 fish 1 horse The cards in the table above…2018 Test B Math, question 49
- Type Probability
- NYS standards 6.SP.8a
- Difficulty 1 of 5
- Level Below grade 7
A ball is selected at random from a box that contains 7 black balls, 14 green balls, and 21 red balls. What is the…2018 Test B Math, question 52
- Type Probability
- NYS standards 6.SP.8a
- Difficulty 1 of 5
- Level Below grade 7
Carlos tossed a paper cup in the air 50 times and found that the probability of it landing on its side was 72%. If…2018 Test B Math, question 57
- Type Probability, Percents
- NYS standards 6.SP.7, 6.RP.3c
- Difficulty 3 of 5

Your practice tests

Your searches and scores, saved in this browser only. Open a test to carry on, or retake it from the start.

Search

When autocomplete results are available use up and down arrows to review and enter to go to the desired page. Touch device users, explore by touch or with swipe gestures.

Random Articles

Dr. Jon Taylor Testifies at NYS Assembly Hearing on the SHSAT

She got into one of NYC’s top high schools. Four years later, she wishes she hadn’t

Special Classes Help Gifted in Ghettos

Questions of Bias Are Raised About a Teachers’ Exam in New York

Stuyvesant students say the crushing workload is hurting their mental health. Here’s what they’re doing about it.

Tags

A10427 alumni assembly boys-bias budget carranza chalkbeat chancellor city-and-state-ny city council debate-overview discovery doe doe-quote editorial-board educator elected exam-schools first-hand gifted-and-talented girls-stem history ibo integration john liu law lawsuit multiple-measures nonshsat ny-daily-news ny1 nytimes opinion prep proposal screening segregation shapiro statistics student stuyvesant teens take charge tjhsst uft video

SHSAT Sunset

Against High-Stakes Testing for NYC Public School Admissions

Home
Equity with Hecht-Calandra
Practice Questions
Try the Test!
Handbooks
FAQs