45 is what percent of 180?Answer: 25%. Source: WEST-B framework, Mathematics, objective 0013 (numbers and operations): percentages
A bolt is 5/8 inch long. Which decimal gives that length in inches?Answer: 0.625. Source: WEST-B framework, Mathematics, objective 0013 (numbers and operations): equivalent fractions, decimals and percents
A class has 12 girls and 16 boys. What is the ratio of girls to all students, in lowest terms?Answer: 3 to 7. Source: WEST-B framework, Mathematics, objective 0013 (numbers and operations): ratios and proportions
A jacket priced at $80 is marked 15 percent off. What is the sale price?Answer: $68. Source: WEST-B framework, Mathematics, objective 0013 (numbers and operations): percentages
A recipe takes 5/6 cup of milk and 3/4 cup of water. How much liquid is that in all?Answer: 1 7/12 cups. Source: WEST-B framework, Mathematics, objective 0013 (numbers and operations): fractions
A recipe uses 2 cups of rice for every 5 cups of water. How much water goes with 7 cups of rice?Answer: 17.5 cups. Source: WEST-B framework, Mathematics, objective 0013 (numbers and operations): ratios and proportions
Show all 60 questions (54 more)
Numbers and operations, continued
Lena enters 4 + 6 × 3 − 8 ÷ 2 on a calculator that follows the order of operations. What does it show?Answer: 18. Source: WEST-B framework, Mathematics, objective 0013 (numbers and operations): order of operations
What is 3/5 ÷ 9/10?Answer: 2/3. Source: WEST-B framework, Mathematics, objective 0013 (numbers and operations): the meaning of operations with fractions
What is the value of −9 + 15 − (−6)?Answer: 12. Source: WEST-B framework, Mathematics, objective 0013 (numbers and operations): integers
Which of these numbers is greatest?Answer: 5/8. Source: WEST-B framework, Mathematics, objective 0013 (numbers and operations): equivalent fractions, decimals and percents
Measurement 10
A car travels 210 miles in 3.5 hours. What is its average speed?Answer: 60 miles per hour. Source: WEST-B framework, Mathematics, objective 0014 (measurement): derived measurements
A rectangular garden is 15 meters long and 8 meters wide. How much fencing goes around it?Answer: 46 meters. Source: WEST-B framework, Mathematics, objective 0014 (measurement): perimeter. Formula: the subtest's formulas sheet
A rectangular rug is 12 feet long and 7.5 feet wide. What is its area?Answer: 90 square feet. Source: WEST-B framework, Mathematics, objective 0014 (measurement): area. Formula: the subtest's formulas sheet
A storage box is 4 inches wide, 5 inches long and 6 inches high. What is its volume?Answer: 120 cubic inches. Source: WEST-B framework, Mathematics, objective 0014 (measurement): volume. Formula: the subtest's formulas sheet
A teacher wants to measure how much water a small paper cup holds. Which metric unit fits the task?Answer: Milliliters. Source: WEST-B framework, Mathematics, objective 0014 (measurement): choosing a unit for a measurement task. Units: the subtest's formulas sheet
A trail is 3.2 kilometers long. How many meters is that?Answer: 3,200 meters. Source: WEST-B framework, Mathematics, objective 0014 (measurement): metric units of measurement. Conversions: the subtest's formulas sheet
A truck carries 2,500 pounds of gravel. How many tons is that?Answer: 1.25 tons. Source: WEST-B framework, Mathematics, objective 0014 (measurement): U.S. units of measurement. Conversions: the subtest's formulas sheet
How many cups are in 5 quarts?Answer: 20 cups. Source: WEST-B framework, Mathematics, objective 0014 (measurement): U.S. units of measurement. Conversions: the subtest's formulas sheet
How many inches are in 2 yards 1 foot?Answer: 84 inches. Source: WEST-B framework, Mathematics, objective 0014 (measurement): U.S. units of measurement. Conversions: the subtest's formulas sheet
On a map, 1 inch stands for 25 miles. Two towns are 3.5 inches apart on the map. How far apart are they?Answer: 87.5 miles. Source: WEST-B framework, Mathematics, objective 0014 (measurement): scale
Geometry 10
A circle has a radius of 5 inches. Using 3.14 for π, what is its area?Answer: 78.5 square inches. Source: WEST-B framework, Mathematics, objective 0015 (geometry): properties of circles. Formula: the subtest's formulas sheet
A rectangle is 8 inches long and 3 inches wide. How many lines of symmetry does it have?Answer: Two. Source: WEST-B framework, Mathematics, objective 0015 (geometry): symmetry
A square has a perimeter of 36 centimeters. What is its area?Answer: 81 square centimeters. Source: WEST-B framework, Mathematics, objective 0015 (geometry): two-dimensional figures. Formulas: the subtest's formulas sheet
A triangle is turned over across a line, producing a mirror image. Which transformation is this?Answer: A flip. Source: WEST-B framework, Mathematics, objective 0015 (geometry): geometric transformations. Terms: the study guide's glossary
A triangular garden bed has corner angles of 52° and 71°. What is the angle at the third corner?Answer: 57°. Source: WEST-B framework, Mathematics, objective 0015 (geometry): properties of triangles
A wheel has a diameter of 20 inches. Using 3.14 for π, what is its circumference?Answer: 62.8 inches. Source: WEST-B framework, Mathematics, objective 0015 (geometry): properties of circles. Formula: the subtest's formulas sheet
The legs of a right triangle are 9 centimeters and 12 centimeters long. How long is the hypotenuse?Answer: 15 centimeters. Source: WEST-B framework, Mathematics, objective 0015 (geometry): right triangles. Formula: the subtest's formulas sheet
Point P is at (−3, 4) on a coordinate grid. It moves 5 units to the right and 6 units down. Where is it now?Answer: (2, −2). Source: WEST-B framework, Mathematics, objective 0015 (geometry): locating points on a coordinate grid
Two angles lie side by side on a straight line. One measures 35°. What does the other measure?Answer: 145°. Source: WEST-B framework, Mathematics, objective 0015 (geometry): properties of lines and angles
Two triangles are congruent. The sides of the first are 5, 7 and 9 inches long. What is the perimeter of the second?Answer: 21 inches. Source: WEST-B framework, Mathematics, objective 0015 (geometry): congruence
Probability and statistics 10
A book fair sold 40 books on Monday, 55 on Tuesday, 35 on Wednesday and 70 on Thursday. How many more books were sold on Thursday than the daily average?Answer: 20 books. Source: WEST-B framework, Mathematics, objective 0016 (probability and statistics): interpreting data in a table
A spinner has 8 equal sections and 3 of them are shaded. In 200 spins, about how many times should it land on a shaded section?Answer: 75 times. Source: WEST-B framework, Mathematics, objective 0016 (probability and statistics): predictions from probability
A student wants to show how a town's population changed from one census to the next over 60 years. Which display fits best?Answer: A line graph. Source: WEST-B framework, Mathematics, objective 0016 (probability and statistics): choosing a display for data. Line graphs: NCES Kids' Zone, How to Choose Which Type of Graph to Use
A student's five quiz scores are 78, 85, 92, 85 and 70. What is the mean?Answer: 82. Source: WEST-B framework, Mathematics, objective 0016 (probability and statistics): mean, median and mode. Terms: the study guide's glossary
A teacher puts the names of 5 sixth graders, 3 seventh graders and 4 eighth graders in a hat and draws one without looking. What is the probability that it is a seventh grader's name?Answer: 1/4. Source: WEST-B framework, Mathematics, objective 0016 (probability and statistics): probability of a simple event
The faces of a fair number cube are numbered 1 to 6. What is the probability that one roll shows a multiple of 3?Answer: 1/3. Source: WEST-B framework, Mathematics, objective 0016 (probability and statistics): probability of a simple event
In a sample of 50 students, 12 walk to school. If the sample is typical, about how many of the school's 600 students walk?Answer: 144 students. Source: WEST-B framework, Mathematics, objective 0016 (probability and statistics): predictions from data
Jo scored 80, 90 and 70 on three tests. What must she score on a fourth test to have a mean of 85?Answer: 100. Source: WEST-B framework, Mathematics, objective 0016 (probability and statistics): mean, median and mode. Terms: the study guide's glossary
What is the median of 12, 7, 9, 15, 10 and 21?Answer: 11. Source: WEST-B framework, Mathematics, objective 0016 (probability and statistics): mean, median and mode. Terms: the study guide's glossary
What is the mode of 4, 6, 6, 7, 9, 9, 9 and 12?Answer: 9. Source: WEST-B framework, Mathematics, objective 0016 (probability and statistics): mean, median and mode. Terms: the study guide's glossary
Algebra 10
A plumber charges $45 for a visit plus $30 for each hour of work. Which expression gives the cost of a visit with h hours of work?Answer: 45 + 30h. Source: WEST-B framework, Mathematics, objective 0017 (algebra): expressions for situations with variable quantities
A taxi fare table lists $9 for 2 miles, $15 for 4 miles, $21 for 6 miles and $27 for 8 miles. How much does the fare rise for each added mile?Answer: $3. Source: WEST-B framework, Mathematics, objective 0017 (algebra): tables and rate of change
The pattern 3, 7, 11, 15 continues by adding the same amount each time. What is the 10th number?Answer: 39. Source: WEST-B framework, Mathematics, objective 0017 (algebra): arithmetic patterns and sequences
The perimeter of a rectangle is P = 2l + 2w. What is P when l = 9.5 and w = 4?Answer: 27. Source: WEST-B framework, Mathematics, objective 0017 (algebra): applying formulas. Formula: the subtest's formulas sheet
What is the next number in the pattern 2, 6, 18, 54?Answer: 162. Source: WEST-B framework, Mathematics, objective 0017 (algebra): geometric patterns and sequences
What is the value of 2a² − b when a = 3 and b = 4?Answer: 14. Source: WEST-B framework, Mathematics, objective 0017 (algebra): evaluating expressions
What value of x makes 4x − 9 = 23 true?Answer: x = 8. Source: WEST-B framework, Mathematics, objective 0017 (algebra): linear equations in one variable
Which value of n makes 6n = 4n + 10 true?Answer: n = 5. Source: WEST-B framework, Mathematics, objective 0017 (algebra): equality
Which values of x make 2x + 5 < 17 true?Answer: x < 6. Source: WEST-B framework, Mathematics, objective 0017 (algebra): linear inequalities in one variable
Reasoning and problem solving 10
A baker puts 144 rolls on 6 trays, the same number on each, in 45 minutes. Which fact is not needed to find how many rolls are on each tray?Answer: The 45 minutes. Source: WEST-B framework, Mathematics, objective 0018 (reasoning, problem solving and communication): extraneous information in a problem
A student solves 2(x + 3) = 14 by writing 2x + 3 = 14, then 2x = 11, then x = 5.5. What went wrong?Answer: He did not multiply the 3 by 2. Source: WEST-B framework, Mathematics, objective 0018 (reasoning, problem solving and communication): errors in a mathematical explanation
A teacher orders 28 workbooks at $4.85 each. Which is the best estimate of the total?Answer: About $140. Source: WEST-B framework, Mathematics, objective 0018 (reasoning, problem solving and communication): reasonableness and estimation
All squares are rectangles. Figure F is a square. What follows?Answer: Figure F is a rectangle. Source: WEST-B framework, Mathematics, objective 0018 (reasoning, problem solving and communication): deductive reasoning. Terms: the study guide's glossary
Dana buys 3 notebooks and some pens and pays $14 in all. Which facts would let you find the price of one pen?Answer: The price of a notebook and the number of pens. Source: WEST-B framework, Mathematics, objective 0018 (reasoning, problem solving and communication): missing information in a problem
If it rains, practice is cancelled. Today practice was not cancelled. What can you conclude?Answer: It did not rain today. Source: WEST-B framework, Mathematics, objective 0018 (reasoning, problem solving and communication): deductive reasoning
Maria is 4 years older than twice Sam's age. If Sam is s years old, which expression gives Maria's age?Answer: 2s + 4. Source: WEST-B framework, Mathematics, objective 0018 (reasoning, problem solving and communication): expressing situations in mathematical notation
To find 25 percent of 60, Lee divides 60 by 25 and gets 2.4. What is the correct result?Answer: 15. Source: WEST-B framework, Mathematics, objective 0018 (reasoning, problem solving and communication): errors in a mathematical explanation
When a number n is divided by 4 and 3 is then subtracted, the result is 5. Which equation says this?Answer: n/4 − 3 = 5. Source: WEST-B framework, Mathematics, objective 0018 (reasoning, problem solving and communication): translating words into equations
Which statement says "x is at least 12"?Answer: x ≥ 12. Source: WEST-B framework, Mathematics, objective 0018 (reasoning, problem solving and communication): mathematical language and notation. Symbols: the subtest's formulas sheet
How this list was compiled: Our own questions, written to the Mathematics objectives 0013 to 0018 of the WEST-B test framework of the Washington Professional Educator Standards Board (https://www.west.nesinc.com/Content/STUDYGUIDE/WA_SG_obj_095.htm, read 2026-10-08): numbers and operations; measurement; geometry; probability and statistics; algebra; reasoning, problem solving and communication. The framework gives no share for each objective, so the bank holds ten of each. Subtest facts from the WEST-B test page (https://www.west.nesinc.com/TestView.aspx?f=HTML_FRAG/WA095_TestPage.html, read 2026-10-08): 60 multiple-choice questions, 2 hours. Conversions and formulas from the subtest's own Mathematical Symbols, Abbreviations, and Formulas sheet (https://www.west.nesinc.com/Content/Docs/WEST-B_SG_MathSymbolsAbbev.pdf); terms from the study guide's glossary (https://www.west.nesinc.com/Content/STUDYGUIDE/WA_SG_glossary_095.htm); line graphs from NCES Kids' Zone. 52 answers were worked out a second time by calculation from the numbers the question prints; the rest are reasoning or definition items. Licence: Questions, choices and explanations are original work of this site.
How it works
This free WEST-B math practice test has 60 questions of our own, written to the framework's six mathematics objectives. It is unofficial and not affiliated with, endorsed by or sponsored by the Washington Professional Educator Standards Board or Pearson.
Read the full guide
What the Mathematics subtest covers
The WEST-B framework, read October 8, 2026, lists six mathematics objectives: numbers and operations; measurement; geometry; probability and statistics; algebra; and reasoning, problem solving and communication. It gives no share for each, so this bank holds ten of each.
The formulas sheet
The real subtest shows a sheet of symbols, abbreviations and formulas on screen. It gives U.S. and metric conversions, π as about 3.14, area and perimeter of a square and rectangle, area of a triangle and circle, circumference, surface area and volume of a cube and rectangular solid, and the Pythagorean formula. Every area, volume and conversion question here can be done with that sheet.
Estimate before you read the choices. The study guide says an estimate can rule some of them out.
The study guide says a wrong answer is not penalized, so answer every question.
Questions and answers
Is this WEST-B math practice test free?
Yes, with no sign-up. Each question was written from the published framework. None is taken or reworded from the real subtest, the study guide's sample questions or the official practice test.
How many questions are on the WEST-B math test?
60 multiple-choice questions, each with four answer choices. Testing time is 2 hours, plus 15 minutes for a tutorial and nondisclosure agreement.
What is a passing score on WEST-B math?
The exam's page says a passing score is not required to meet the state requirement; a law signed in 2019 removed it. Preparation programs may set their own admission requirements, so ask yours.
Can you use a calculator on the WEST-B math test?
You may not bring one. The exam's rules say an on-screen calculator is provided for tests that allow it, and the WEST-B page lists only the formulas sheet as a reference, so practice working by hand.