OLSAT Math Questions

Arithmetic reasoning, number series, numeric inference and number matrix questions in three grade bands.

Kindergarten to grade 2 has arithmetic reasoning only: read those questions aloud to a younger child.

Mia has 24 stickers. She gives 6 to her brother and then shares the rest equally among 3 friends. How many stickers does each friend get?

Pick an answer, then press Check answer. Then you see Correct or Not quite, with the reason. Keys: A to D pick, Enter checks.

Print covers the next 24 questions. Share this set copies a link to the same questions in the same order.

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Unofficial practice questions, not affiliated with NCS Pearson, Inc., which publishes the Otis-Lennon School Ability Test (OLSAT). Bank checked October 9, 2026.

The real test: OLSAT 8

Levels
Seven: A for kindergarten, B for grade 1, C for grade 2, D for grade 3, E for grades 4 and 5, F for grades 6 to 8, G for grades 9 to 12.
Scores
School Ability Index, percentile rank, stanine and NCE by age; percentile rank, stanine and NCE by grade; scaled scores.
How it is given
On paper from kindergarten to grade 12, or online for grades 2 to 12 (Levels C to G); to one student or a group.

Checked October 9, 2026 against the OLSAT 8 overview brochure with its Scope & Sequence chart and the OLSAT 8 product page, Pearson. Rules change, so confirm with the agency itself before your test.

The publisher's page about the test

Grades 3–5 (Levels D, E): all 24 questions

Arithmetic Reasoning 6

  • A baker puts 8 muffins on each tray. She fills 5 trays and has 3 muffins left over. How many muffins did she bake? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Levels D and E
  • A teacher seats 28 students at tables of 6 and fills as many tables as she can. How many students sit at the table that is not full? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Levels D and E
  • Leo thinks of a number. He doubles it and then adds 7. He gets 25. What number did Leo think of? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Levels D and E
  • Mia has 24 stickers. She gives 6 to her brother and then shares the rest equally among 3 friends. How many stickers does each friend get? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Levels D and E
  • Pencils cost 15 cents each. Noor buys 4 pencils and pays with 1 dollar. How many cents does she get back? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Levels D and E
  • Sam is 4 years older than Eli. Their two ages add up to 20. How old is Eli? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Levels D and E

Number Series 6

  • Which number comes next? 1, 2, 4, 7, 11, 16, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Series, Levels D and E
  • Which number comes next? 2, 4, 8, 16, 32, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Series, Levels D and E
  • Which number comes next? 2, 20, 4, 18, 6, 16, 8, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Series, Levels D and E
  • Which number comes next? 3, 7, 11, 15, 19, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Series, Levels D and E
  • Which number comes next? 5, 10, 8, 13, 11, 16, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Series, Levels D and E
  • Which number comes next? 40, 37, 34, 31, 28, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Series, Levels D and E

Numeric Inference 6

  • The numbers in each group of three go together by the same rule. Which number is missing? (2, 3, 5) (4, 6, 10) (7, 8, ?) OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Numeric Inference, Levels D and E
  • The numbers in each group of three go together by the same rule. Which number is missing? (3, 4, 12) (2, 5, 10) (6, 3, ?) OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Numeric Inference, Levels D and E
  • The numbers in each pair go together by the same rule. Which number is missing? (2, 7) (5, 10) (9, ?) OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Numeric Inference, Levels D and E
  • The numbers in each pair go together by the same rule. Which number is missing? (3, 12) (5, 20) (7, ?) OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Numeric Inference, Levels D and E
  • The numbers in each pair go together by the same rule. Which number is missing? (4, 9) (6, 13) (10, ?) OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Numeric Inference, Levels D and E
  • The numbers in each pair go together by the same rule. Which number is missing? (18, 9) (10, 5) (24, ?) OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Numeric Inference, Levels D and E

Number Matrix 6

  • One rule fills this grid of numbers. Which number is missing? Row 1: 1, 2, 4. Row 2: 3, 6, 12. Row 3: 5, 10, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Matrix, Levels D and E
  • One rule fills this grid of numbers. Which number is missing? Row 1: 2, 5, 8. Row 2: 4, 6, 8. Row 3: 10, ?, 20. OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Matrix, Levels D and E
  • One rule fills this grid of numbers. Which number is missing? Row 1: 2, 5, 8. Row 2: 4, 7, 10. Row 3: 6, 9, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Matrix, Levels D and E
  • One rule fills this grid of numbers. Which number is missing? Row 1: 3, 4, 7. Row 2: 5, 1, 6. Row 3: 2, 6, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Matrix, Levels D and E
  • One rule fills this grid of numbers. Which number is missing? Row 1: 9, 1, 5. Row 2: 2, 6, 7. Row 3: 3, 8, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Matrix, Levels D and E
  • One rule fills this grid of numbers. Which number is missing? Row 1: 10, 14, 9. Row 2: 8, 12, 7. Row 3: 6, 10, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Matrix, Levels D and E
How this list was compiled

Outline: OLSAT 8 overview brochure with its Scope & Sequence chart (Pearson, copyright 2025), https://www.pearsonassessments.com/content/dam/school/global/clinical/us/assets/olsat8/olsat8-overview-brochure.pdf, linked from the publisher's product page, https://www.pearsonassessments.com/en-us/Store/Professional-Assessments/Academic-Learning/Otis-Lennon-School-Ability-Test-%7C-Eighth-Edition/p/100000003, both read 2026-10-09. Every answer is arithmetic and was worked out again from the numbers in the question. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from an OLSAT test, from a practice test or sample item of the publisher, or from another practice test.

Grades 6–12 (Levels F, G): all 24 questions

Arithmetic Reasoning 6

  • A car travels 150 miles in 3 hours. At the same speed, how many miles does it travel in 5 hours? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Levels F and G
  • A jacket has a price of $45. It is on sale for 20% off. What is the sale price? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Levels F and G
  • A recipe uses 2 cups of rice for every 3 cups of water. How many cups of water go with 8 cups of rice? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Levels F and G
  • A tank is three quarters full of water. After 10 liters are used it is half full. How many liters does the tank hold when it is full? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Levels F and G
  • The mean of four numbers is 12. Three of the numbers are 9, 14 and 10. What is the fourth number? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Levels F and G
  • Tara has twice as many coins as Ben. If Tara gives Ben 6 coins, the two of them have the same number. How many coins does Ben have before the gift? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Levels F and G

Number Series 6

  • Which number comes next? 1, 1, 2, 3, 5, 8, 13, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Series, Levels F and G
  • Which number comes next? 1, 4, 9, 16, 25, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Series, Levels F and G
  • Which number comes next? 2, 6, 18, 54, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Series, Levels F and G
  • Which number comes next? 3, 4, 6, 10, 18, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Series, Levels F and G
  • Which number comes next? 80, 1, 40, 3, 20, 5, 10, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Series, Levels F and G
  • Which number comes next? 96, 48, 52, 26, 30, 15, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Series, Levels F and G

Numeric Inference 6

  • The numbers in each group of three go together by the same rule. Which number is missing? (1, 4, 10) (3, 5, 16) (2, 7, ?) OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Numeric Inference, Levels F and G
  • The numbers in each group of three go together by the same rule. Which number is missing? (4, 3, 6) (10, 2, 10) (8, 5, ?) OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Numeric Inference, Levels F and G
  • The numbers in each pair go together by the same rule. Which number is missing? (4, 16) (7, 49) (9, ?) OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Numeric Inference, Levels F and G
  • The numbers in each pair go together by the same rule. Which number is missing? (6, 4) (15, 10) (24, ?) OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Numeric Inference, Levels F and G
  • The numbers in each pair go together by the same rule. Which number is missing? (7, 20) (10, 29) (4, ?) OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Numeric Inference, Levels F and G
  • The numbers in each pair go together by the same rule. Which number is missing? (12, 3) (20, 5) (36, ?) OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Numeric Inference, Levels F and G

Number Matrix 6

  • One rule fills this grid of numbers. Which number is missing? Row 1: 2, 6, 18. Row 2: 1, 3, 9. Row 3: 4, 12, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Matrix, Levels F and G
  • One rule fills this grid of numbers. Which number is missing? Row 1: 3, 4, 12. Row 2: 5, 2, 10. Row 3: 6, 7, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Matrix, Levels F and G
  • One rule fills this grid of numbers. Which number is missing? Row 1: 3, 5, 7. Row 2: 6, 10, 14. Row 3: 12, 20, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Matrix, Levels F and G
  • One rule fills this grid of numbers. Which number is missing? Row 1: 3, 10, 17. Row 2: 8, 15, 22. Row 3: 13, 20, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Matrix, Levels F and G
  • One rule fills this grid of numbers. Which number is missing? Row 1: 6, 10, 8. Row 2: 3, 15, 9. Row 3: 12, 20, ? OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Matrix, Levels F and G
  • One rule fills this grid of numbers. Which number is missing? Row 1: 12, 7, 11. Row 2: 5, 16, 9. Row 3: 4, ?, 15. OLSAT 8 Scope & Sequence chart (Pearson): Nonverbal, Quantitative Reasoning, Number Matrix, Levels F and G
How this list was compiled

Outline: OLSAT 8 overview brochure with its Scope & Sequence chart (Pearson, copyright 2025), https://www.pearsonassessments.com/content/dam/school/global/clinical/us/assets/olsat8/olsat8-overview-brochure.pdf, linked from the publisher's product page, https://www.pearsonassessments.com/en-us/Store/Professional-Assessments/Academic-Learning/Otis-Lennon-School-Ability-Test-%7C-Eighth-Edition/p/100000003, both read 2026-10-09. Every answer is arithmetic and was worked out again from the numbers in the question. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from an OLSAT test, from a practice test or sample item of the publisher, or from another practice test.

Grades K–2 (Levels A–C): all 12 questions

Level A, kindergarten 4

  • A bike has 2 wheels. How many wheels do 3 bikes have? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Level A (kindergarten)
  • Lily has 4 red blocks and 4 blue blocks. How many blocks does she have in all? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Level A (kindergarten)
  • Theo has 3 apples. His mom gives him 2 more. How many apples does Theo have now? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Level A (kindergarten)
  • There are 6 birds on a fence. 2 of them fly away. How many birds are left on the fence? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Level A (kindergarten)

Level B, grade 1 4

  • Ava is 7 years old. Her sister is 2 years younger. How old is her sister? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Level B (grade 1)
  • Kim has 10 cents. One sticker costs 3 cents. What is the most stickers Kim can buy? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Level B (grade 1)
  • Omar had 9 crayons. He lost some, and now he has 5. How many crayons did Omar lose? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Level B (grade 1)
  • There are 5 cookies on a plate. Zoe eats 1 cookie and Max eats 2. How many cookies are left on the plate? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Level B (grade 1)

Level C, grade 2 4

  • A bus has 20 seats. 12 children get on, and then 5 more get on. Each child takes one seat. How many seats are empty? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Level C (grade 2)
  • Four friends share 12 grapes so that each friend gets the same number. How many grapes does each friend get? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Level C (grade 2)
  • Jay has 15 marbles. Rosa has 6 fewer marbles than Jay. How many marbles do they have together? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Level C (grade 2)
  • Nia reads 5 pages each day. How many pages does she read in 4 days? OLSAT 8 Scope & Sequence chart (Pearson): Verbal, Verbal Reasoning, Arithmetic Reasoning, Level C (grade 2)
How this list was compiled

Outline: OLSAT 8 overview brochure with its Scope & Sequence chart (Pearson, copyright 2025), https://www.pearsonassessments.com/content/dam/school/global/clinical/us/assets/olsat8/olsat8-overview-brochure.pdf, linked from the publisher's product page, https://www.pearsonassessments.com/en-us/Store/Professional-Assessments/Academic-Learning/Otis-Lennon-School-Ability-Test-%7C-Eighth-Edition/p/100000003, both read 2026-10-09. Every answer is arithmetic and was worked out again from the numbers in the question. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from an OLSAT test, from a practice test or sample item of the publisher, or from another practice test.

How it works

Unofficial practice for the number questions of the OLSAT 8: 60 questions written for this site in the four kinds Pearson's chart lists. Not affiliated with or endorsed by NCS Pearson, Inc., which publishes the Otis-Lennon School Ability Test.

Read the full guide

The four kinds of number question

Pearson's Scope & Sequence chart lists Arithmetic Reasoning in the verbal part of the test at every level, A to G. Number Series, Numeric Inference and Number Matrix make up the Quantitative Reasoning cluster of the nonverbal part and start at Level D, grade 3. The chart gives no count for any kind, so each set here shares its questions equally.

What each kind asks here

A series question asks for the number that continues a row. An inference question shows pairs or groups of three joined by one rule and asks for the missing member. A matrix question hides one number of a three-by-three grid. Every explanation states the rule.

Questions and answers

Is there math on the OLSAT?

Yes. Pearson describes the test as measuring verbal, nonverbal and quantitative abilities, and solving arithmetic problems is one of the tasks its brochure names. It also calls the test a general indicator of academic ability that is not tied to specific content.

What kind of questions are on the OLSAT?

Pearson's chart names 21 kinds in five clusters: verbal comprehension, verbal reasoning, pictorial reasoning, figural reasoning and quantitative reasoning. Among them are Antonyms, Verbal Analogies, Figural Series and Pattern Matrix. This page practices only the four that use numbers.

Is there an official OLSAT practice test?

Pearson's product page lists its own printed practice tests by level, sold in packs of ten. The questions on this page are this site's own, and none comes from those or from any OLSAT test.

Is the OLSAT timed?

Pearson's product page gives the completion time as varying by level, untimed, with a maximum of 75 minutes. It gives no time for one kind of question, so this page sets no clock.