Grade 4 is a significant year for New York math students. The NYS Grade 4 math test is the second statewide math assessment, and the content takes a meaningful step up from Grade 3 — introducing multi-digit multiplication, fraction equivalence and operations, decimal notation, area and perimeter of complex figures, angle measurement, and classification of geometric shapes. This post gives you five mini worksheet sets aligned to the five NYS Grade 4 CCLS math domains, each with an answer key and brief notes on the most common errors.
ViewMath is not affiliated with or endorsed by the New York State Education Department (NYSED). For current assessment information, visit nysed.gov/state-assessment.
Grade 4 NYS Math Test: Domains and Priority Topics
| Domain | Key Skills | Test Weight |
|---|---|---|
| Operations and Algebraic Thinking (OA) | Multiplication and division, multi-step word problems, factors and multiples, prime/composite numbers, patterns | Major |
| Number and Operations in Base Ten (NBT) | Multi-digit multiplication and division, place value to millions, rounding | Major |
| Number and Operations — Fractions (NF) | Equivalent fractions, comparing fractions, adding and subtracting fractions with like denominators, mixed numbers, decimal notation for fractions | Major |
| Measurement and Data (MD) | Units of measurement, angles, area and perimeter, line plots | Supporting |
| Geometry (G) | Lines, angles, symmetry, classifying shapes by properties | Supporting |
Worksheet 1: Operations and Algebraic Thinking (10 Questions)
- A theater has 24 rows of seats with 35 seats in each row. How many seats are there in all?
Answer: 24 × 35 = 840 seats - List all factor pairs of 36.
Answer: 1×36, 2×18, 3×12, 4×9, 6×6 - Is 47 prime or composite? Explain.
Answer: Prime — its only factors are 1 and 47. - A store sells 3 boxes of 8 donuts and 2 boxes of 12 donuts. How many donuts in all?
Answer: (3 × 8) + (2 × 12) = 24 + 24 = 48 donuts - What pattern do you see in: 5, 10, 20, 40, 80…? Write the next two terms.
Answer: Multiply by 2. Next: 160, 320 - A farmer plants 6 rows with 9 seeds each. He plants the same amount in a second field. How many seeds total?
Answer: (6 × 9) × 2 = 54 × 2 = 108 seeds - Find all multiples of 7 between 30 and 60.
Answer: 35, 42, 49, 56 - Ava earns $8 per hour. She works for 15 hours. How much does she earn?
Answer: 8 × 15 = $120 - Is 84 a multiple of both 4 and 7? Show how you know.
Answer: 84 ÷ 4 = 21 ✓. 84 ÷ 7 = 12 ✓. Yes. - What is the rule for the pattern 3, 6, 12, 24, ___? Answer: Multiply by 2. Next: 48
Worksheet 2: Multi-Digit Arithmetic (10 Questions)
- Multiply: 356 × 4
Answer: 1,424 - Multiply: 47 × 23
Answer: 1,081 - Divide: 728 ÷ 8
Answer: 91 - Divide: 846 ÷ 6
Answer: 141 - Round 54,372 to the nearest thousand.
Answer: 54,000 - A school orders 36 boxes of 24 pencils. How many pencils in all?
Answer: 36 × 24 = 864 pencils - What is the value of the digit 7 in 573,284?
Answer: 70,000 - Estimate: 493 × 6 ≈ ? (Round to the nearest hundred first.)
Answer: 500 × 6 = 3,000 - Divide with remainder: 365 ÷ 4
Answer: 91 remainder 1 (91 R 1) - Write 6,000 + 400 + 20 + 3 in standard form.
Answer: 6,423
Worksheet 3: Fractions (10 Questions)
- Write an equivalent fraction for 2/3 with a denominator of 12.
Answer: 8/12 - Compare: 3/4 ☐ 5/8 (use <, >, or =)
Answer: 6/8 > 5/8. So 3/4 > 5/8 - Add: 3/8 + 2/8
Answer: 5/8 - Subtract: 7/10 − 3/10
Answer: 4/10 = 2/5 - Convert 2 3/4 to an improper fraction.
Answer: (2 × 4 + 3)/4 = 11/4 - Write 9/4 as a mixed number.
Answer: 2 1/4 - Write 0.7 as a fraction in simplest form.
Answer: 7/10 - Which is greater: 0.60 or 3/5? Show your work.
Answer: 3/5 = 0.60. They are equal. - A pizza is cut into 8 equal slices. Tom eats 3 slices. What fraction did he eat?
Answer: 3/8 - A ribbon is 7/8 meter long. Another is 3/8 meter long. How much ribbon in all?
Answer: 10/8 = 1 2/8 = 1 1/4 meters
Worksheet 4: Measurement and Data (8 Questions)
- Convert 3 feet to inches. (1 foot = 12 inches)
Answer: 36 inches - An angle measures 130°. Is it acute, right, obtuse, or straight?
Answer: Obtuse (between 90° and 180°) - A rectangle has a length of 12 m and a width of 7 m. What is the perimeter? What is the area?
Answer: Perimeter = 2(12 + 7) = 38 m. Area = 12 × 7 = 84 m² - Two angles together form a straight angle (180°). One angle is 65°. What is the other?
Answer: 180° − 65° = 115° - Convert 5 pounds to ounces. (1 pound = 16 ounces)
Answer: 80 ounces - A line plot shows lengths: 1/4, 1/4, 1/2, 1/2, 1/2, 3/4, 3/4. What is the total length of all pieces?
Answer: 2/4 + 6/4 + 6/4 = 14/4 = 3 2/4 = 3 1/2 - A right angle has a measure of how many degrees?
Answer: 90° - Convert 2 yards to feet. (1 yard = 3 feet)
Answer: 6 feet
Worksheet 5: Geometry (7 Questions)
- Draw a pair of perpendicular lines. What angle do they form?
Answer: Perpendicular lines form 90° (right) angles. - Name a quadrilateral with exactly one pair of parallel sides.
Answer: Trapezoid - Does a rectangle have a line of symmetry? If yes, how many?
Answer: Yes — 2 lines of symmetry (vertical and horizontal through the center). - Are parallel lines the same as perpendicular lines? Explain.
Answer: No. Parallel lines never intersect. Perpendicular lines intersect at a right angle. - Name two shapes that are always quadrilaterals.
Answer: Any two from: square, rectangle, rhombus, parallelogram, trapezoid - A triangle has angles 60°, 60°, and 60°. Is it equilateral, isosceles, or scalene?
Answer: Equilateral — all angles and sides are equal. - Draw a figure with exactly one line of symmetry.
Answer: A non-equilateral isosceles triangle is one example. (Any figure where one fold creates two matching halves.)
Common NYS Grade 4 Math Test Mistakes
- Multi-digit multiplication errors: Students often make partial product errors when multiplying two-digit by two-digit numbers. Using the area model (box method) before the standard algorithm builds conceptual understanding that reduces errors.
- Adding fractions by adding numerators and denominators: This is still the most common fraction mistake at Grade 4. If the denominators are the same, add only the numerators. Use the numerator-as-count, denominator-as-unit-size model.
- Confusing area and perimeter formulas: Grade 4 introduces more complex perimeter problems (find missing side given the perimeter). Students sometimes use the area formula when they need perimeter and vice versa. Labeling each problem “P” or “A” before starting reduces this error.
- Angle measurement — protractor placement: Students often align the bottom of the protractor with the side of the angle rather than the center point with the vertex. Practice at least three angle measurement problems with a physical protractor before the test.
Grade 4 New York Math Resources
ViewMath offers Grade 4 math practice test books and workbooks aligned to the New York State CCLS for Mathematics. Books cover all five domains and include full-length NYS-style practice tests with detailed answer keys. Browse the Grade 4 catalog in the sidebar.
ViewMath is an independent publisher. Our materials are not official NYSED or state assessment products.
