Massachusetts Grade 4 students face one of the more demanding MCAS math tests in the elementary grades. Grade 4 is the year multi-digit multiplication becomes a standard algorithm expectation, fractions expand to equivalence and comparison with unlike denominators, and geometry introduces angles and concepts that build directly toward Grade 5. This worksheet set covers all the major domains of the Massachusetts Curriculum Framework at Grade 4 — with 12 practice problems, a full answer key, and a section on the most common mistakes students make on each topic.
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Grade 4 MCAS Math: What Is Tested
The Massachusetts Curriculum Framework for Grade 4 mathematics covers five domains:
Operations and Algebraic Thinking (OA)
Students interpret and solve multi-step word problems involving all four operations, with remainders in division. They also identify and explain factor pairs, prime vs. composite numbers, and generate and analyze number and shape patterns.
Number and Operations in Base Ten (NBT)
By Grade 4, students must fluently multiply up to 4-digit by 1-digit and 2-digit by 2-digit numbers using the standard algorithm. They divide up to 4-digit dividends by 1-digit divisors with remainders and compare multi-digit numbers using place value.
Number and Operations — Fractions (NF)
This is the major new content at Grade 4. Students build equivalent fractions, compare fractions with different numerators and denominators using benchmark fractions, and add and subtract fractions with like denominators. They are introduced to mixed numbers and convert between mixed numbers and improper fractions.
Measurement and Data (MD)
Grade 4 introduces angles as geometric measurements. Students measure angles with a protractor, classify angles (acute, right, obtuse, straight), and solve addition/subtraction problems involving angles. Area and perimeter problems extend to composite figures, and students convert units within a measurement system (feet to inches, kg to g, etc.).
Geometry (G)
Students draw and classify lines, angles, and shapes. Key concepts include parallel lines, perpendicular lines, right angles, and lines of symmetry. Students identify and classify quadrilaterals (squares, rectangles, parallelograms, rhombuses, trapezoids) based on their properties.
MCAS Grade 4 Math Practice Worksheet
Part A: Multi-Digit Multiplication and Division
1. A farmer plants tomatoes in 28 rows with 34 plants in each row. How many tomato plants are there in all?
2. A school library received 1,248 new books. The books are packed equally into 6 boxes. How many books are in each box?
3. A rectangular parking lot is 125 meters long and 48 meters wide. What is the area of the parking lot?
Part B: Fractions
4. Write three fractions equivalent to 3/5.
5. Compare using <, =, or >: 3/8 ____ 5/6
6. What is 5/8 + 2/8? Simplify if possible.
7. Convert 2 3/4 to an improper fraction.
Part C: Measurement and Angles
8. An angle measures 65°. Is it acute, right, or obtuse? What angle would you add to make a straight angle (180°)?
9. A window frame has a right angle in one corner. A crack runs from that corner at a 38° angle along one side. What is the measure of the remaining angle between the crack and the other side of the right angle?
10. Convert 3 yards to feet. (Hint: 1 yard = 3 feet)
Part D: Geometry
11. Name one property that a rectangle and a rhombus share, and one property that is different.
12. How many lines of symmetry does a square have?
Answer Key with Explanations
1. 28 × 34 = (28 × 30) + (28 × 4) = 840 + 112 = 952 tomato plants.
2. 1,248 ÷ 6 = 208 books per box. Check: 208 × 6 = 1,248 ✓
3. Area = 125 × 48 = (125 × 40) + (125 × 8) = 5,000 + 1,000 = 6,000 sq meters.
4. Multiply both numerator and denominator by the same number: 6/10, 9/15, 12/20 (any three of these are correct).
5. Convert to a common denominator: 3/8 = 9/24; 5/6 = 20/24. Since 9 < 20, answer: 3/8 < 5/6. Alternatively, 3/8 ≈ 0.375 and 5/6 ≈ 0.833.
6. 5/8 + 2/8 = 7/8. (Already in simplest form.) Answer: 7/8.
7. 2 3/4 = (2 × 4 + 3)/4 = (8 + 3)/4 = 11/4.
8. 65° is acute (between 0° and 90°). Remaining angle: 180° − 65° = 115°.
9. Right angle = 90°. One part = 38°. Remaining part = 90° − 38° = 52°.
10. 3 yards × 3 feet/yard = 9 feet.
11. Shared property: Both have four sides (both are quadrilaterals). Different property: A rectangle has four right angles; a rhombus has four equal sides but angles are not necessarily right angles (unless it is also a square).
12. A square has 4 lines of symmetry: two through opposite midpoints of sides, and two through opposite corners (diagonals).
Common MCAS Grade 4 Math Mistakes
Multiplication: Forgetting to Regroup
When multiplying 28 × 34, the most common error is failing to carry the tens digit when a partial product exceeds 9. Write regrouped values clearly above the column being added. Double-check by estimating first: 30 × 30 = 900, so 952 is in the right range.
Fractions: Comparing Without a Common Denominator
Many students compare 3/8 and 5/6 by looking at the numerators or denominators alone. The numerator trick (larger numerator = larger fraction) only works when denominators are the same. For unlike denominators, always find a common denominator or use decimal conversion.
Adding Fractions with Unlike Denominators
Grade 4 standards require adding fractions with like denominators. However, students sometimes encounter problems where they incorrectly add denominators as well (3/8 + 2/8 ≠ 5/16). Reinforce the rule: denominators do not change when adding fractions with the same denominator.
Angles: Confusing Acute and Obtuse
Students frequently mix up acute (less than 90°) and obtuse (greater than 90°, less than 180°). A reliable anchor: a right angle is exactly 90°. Draw a corner of a notebook or an “L” shape to visualize it. Acute is “small/narrow,” obtuse is “wide/large.”
Area vs. Perimeter Confusion
Area is the space inside a shape, measured in square units. Perimeter is the distance around a shape, measured in units. Students frequently compute the correct number but attach the wrong label or formula. Make it a habit to write the formula (A = l × w; P = 2l + 2w) before substituting numbers.
ViewMath Grade 4 Resources for Massachusetts Students
ViewMath Grade 4 math workbooks are organized by the Massachusetts Curriculum Framework domains, making it easy to target the exact skills your student needs. Practice sets increase gradually in difficulty, and every answer key shows the work step-by-step — exactly the kind of structured explanation that helps students understand their errors rather than just correct them. Whether your student is working through fractions for the first time or reviewing multi-digit multiplication before the spring MCAS, ViewMath Grade 4 practice materials provide focused, efficient preparation.
