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100+ Free ISEE Math Achievement Practice Questions

Pass your ISEE Mathematics Achievement Section exam on the first try — instant access, no signup required.

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Key Facts: ISEE Math Achievement Exam

47 questions in 40 minutes

ISEE Mathematics Achievement (Upper/Middle level format)

ERB erblearn.org

No calculator permitted

All ISEE levels require hand computation only

ERB erblearn.org

Scaled score 760–940 per section

ISEE scoring scale for each of the four scored sections

ERB ISEE Score Reports

Stanines 1–9

Performance band reported alongside percentile rank

ERB ISEE Understanding Score Reports

Up to 3 times in 12 months

Maximum ISEE retakes allowed per ERB policy

ERB erblearn.org

6 content areas tested

Numbers & Operations, Algebra, Geometry, Measurement, Data Analysis, Problem Solving

NCTM/ERB content framework

The ISEE Mathematics Achievement section is a 47-question, 40-minute multiple-choice exam administered by the Educational Records Bureau (ERB) for students applying to independent schools in grades 5–12. Students are NOT permitted to use a calculator. Content areas include Numbers & Operations, Algebra, Geometry, Measurement, and Data Analysis & Probability, with topics scaling from pre-algebra at the Lower level to coordinate geometry and introductory algebraic functions at the Upper level. Scores are reported as a scaled score and stanine (1–9) — schools set their own competitive benchmarks. Registration fees range from $125–$200 depending on the testing site. (Source: erblearn.org)

Sample ISEE Math Achievement Practice Questions

Try these sample questions to test your ISEE Math Achievement exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What is the value of 3/4 + 5/6?
A.8/10
B.19/12
C.1/2
D.13/12
Explanation: To add fractions, find the least common denominator (LCD). The LCD of 4 and 6 is 12. Convert: 3/4 = 9/12 and 5/6 = 10/12. Then 9/12 + 10/12 = 19/12.
2Which of the following is equivalent to 0.045?
A.45/100
B.45/1000
C.9/200
D.4/5
Explanation: 0.045 = 45/1000. Simplify by dividing numerator and denominator by 5: 45/1000 = 9/200. So 9/200 is the simplified equivalent of 0.045.
3A store sells apples for $0.75 each. If Maria buys 8 apples and pays with a $10 bill, how much change does she receive?
A.$3.00
B.$4.00
C.$4.25
D.$6.00
Explanation: Cost = 8 × $0.75 = $6.00. Change = $10.00 − $6.00 = $4.00.
4What is 15% of 240?
A.24
B.36
C.30
D.16
Explanation: 15% of 240 = 0.15 × 240 = 36. Alternatively, 10% of 240 = 24, and 5% of 240 = 12; adding them gives 24 + 12 = 36.
5What is the greatest common factor (GCF) of 36 and 48?
A.6
B.9
C.12
D.18
Explanation: Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. The greatest factor common to both is 12.
6Which fraction is between 1/2 and 3/4 on the number line?
A.1/3
B.2/5
C.5/8
D.7/8
Explanation: Convert to decimals: 1/2 = 0.5, 3/4 = 0.75. Now check: 1/3 ≈ 0.333 (below 0.5), 2/5 = 0.4 (below 0.5), 5/8 = 0.625 (between 0.5 and 0.75 ✓), 7/8 = 0.875 (above 0.75). So 5/8 lies between 1/2 and 3/4.
7If a car travels 180 miles in 3 hours, what is its average speed in miles per hour?
A.45 mph
B.54 mph
C.60 mph
D.90 mph
Explanation: Average speed = distance ÷ time = 180 miles ÷ 3 hours = 60 miles per hour.
8What is the value of 2^5?
A.10
B.16
C.25
D.32
Explanation: 2^5 means 2 multiplied by itself 5 times: 2 × 2 × 2 × 2 × 2 = 4 × 2 × 2 × 2 = 8 × 2 × 2 = 16 × 2 = 32.
9A jacket originally costs $80 and is on sale for 25% off. What is the sale price?
A.$20
B.$55
C.$60
D.$64
Explanation: 25% of $80 = 0.25 × 80 = $20. Sale price = $80 − $20 = $60.
10Which expression is equivalent to 4(3x − 2)?
A.12x − 2
B.12x − 8
C.7x − 6
D.12x + 8
Explanation: Use the distributive property: 4(3x − 2) = 4 × 3x − 4 × 2 = 12x − 8.

About the ISEE Math Achievement Exam

The ISEE Mathematics Achievement section tests grade-level math knowledge and computation skills as taught in school, distinct from the Quantitative Reasoning section which emphasizes logic. The Upper and Middle levels contain 47 four-option multiple-choice questions answered in 40 minutes with no calculator. Content spans Numbers & Operations, Algebra, Geometry, Measurement, and Data Analysis aligned to NCTM standards for grades 4–11.

Questions

100 scored questions

Time Limit

40 minutes (47 questions on the real exam)

Passing Score

Stanine 1–9 and percentile rank; no universal passing score — schools set competitive benchmarks

Exam Fee

$125–$200 per testing cycle (varies by approved testing site) (Educational Records Bureau (ERB))

ISEE Math Achievement Exam Content Outline

~20%

Numbers and Operations

Fractions, decimals, ratios, percents, integers, absolute value, exponents, scientific notation, GCF, LCM, and prime factorization.

~25%

Algebra

Linear equations and inequalities, expressions, functions, slope, y-intercept, sequences (arithmetic and geometric), and substitution.

~20%

Geometry

Area, perimeter, surface area, volume, coordinate geometry, angle relationships, triangle properties, Pythagorean theorem, and circles.

~15%

Measurement

Customary and metric unit conversions, scale diagrams, area/volume with units, temperature conversion (Fahrenheit to Celsius).

~15%

Data Analysis and Probability

Mean, median, mode, range, IQR, simple probability, counting principle, reading charts/graphs/tables, and data interpretation.

~5%

Problem Solving

Multi-step real-world problems integrating content from multiple areas, including inverse/direct proportion and percent change applications.

How to Pass the ISEE Math Achievement Exam

What You Need to Know

  • Passing score: Stanine 1–9 and percentile rank; no universal passing score — schools set competitive benchmarks
  • Exam length: 100 questions
  • Time limit: 40 minutes (47 questions on the real exam)
  • Exam fee: $125–$200 per testing cycle (varies by approved testing site)

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

ISEE Math Achievement Study Tips from Top Performers

1Practice without a calculator every session — the real exam is calculator-free, so build comfort with mental math, estimation, and hand calculations for fractions, decimals, and percents.
2Memorize key formulas: area and perimeter of rectangles, triangles, and circles; volume of prisms and cylinders; the Pythagorean theorem; and slope formula — these appear on nearly every test.
3Focus on Algebra, which accounts for roughly 25% of questions at the Upper level. Practice solving linear equations, evaluating functions, and identifying slope and y-intercept from equations and graphs.
4Use the process of elimination on hard questions: even without knowing the answer, ruling out one or two choices improves your odds in a 4-option format.
5Review Data Analysis concepts including mean, median, mode, range, and basic probability — these are often quicker points that students lose through careless mistakes.

Frequently Asked Questions

Is a calculator allowed on the ISEE Mathematics Achievement section?

No. Calculators are NOT permitted on any section of the ISEE, including Mathematics Achievement. Students must complete all computations by hand, so mental math and estimation strategies are important.

How many questions are on the ISEE Mathematics Achievement section?

The Upper and Middle level ISEE Mathematics Achievement section contains 47 four-option multiple-choice questions to be answered in 40 minutes. The Lower level has 30 questions in 30 minutes.

What math topics are tested on the ISEE Mathematics Achievement section?

Topics include Numbers & Operations (fractions, decimals, percents, exponents), Algebra (linear equations, functions, sequences), Geometry (area, perimeter, volume, coordinate geometry), Measurement (unit conversion, scale), and Data Analysis & Probability (mean, median, mode, probability).

How is the ISEE Mathematics Achievement section scored?

Students receive a scaled score (760–940 for each section) and a stanine score from 1 (lowest) to 9 (highest). Scores are reported alongside a percentile rank comparing the student to others in the same grade who took the test in the past three years.

How does the Mathematics Achievement section differ from the Quantitative Reasoning section?

Mathematics Achievement tests school-learned math content and computation skills. Quantitative Reasoning emphasizes mathematical reasoning and logic, often through quantitative comparisons and word problems that do not rely as heavily on memorized formulas.

How many times can a student take the ISEE per year?

ERB allows students to take the ISEE once per testing season (fall, winter, spring/summer), for a maximum of 3 times in a 12-month period. Schools typically see all score reports submitted.