How do you make the most of the reference sheet and the calculator on the Grade 10 Math MCAS?
Use the Grade 10 Mathematics Reference Sheet efficiently, know which formulas it does and does not provide, and use the calculator (where allowed) as a check rather than a crutch.
A Grade 10 Math MCAS strategy answer on using the reference sheet efficiently, knowing which formulas it provides and which you must memorize, and using the calculator on the allowed session as a check rather than a crutch.
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What this topic is asking
The Grade 10 MCAS provides a Mathematics Reference Sheet and allows a calculator on part of the test. Using both well is a strategy skill in its own right: knowing exactly what the sheet gives, what it does not, and how to treat the calculator as a check rather than a crutch. This section is about working efficiently with the tools the test hands you.
What the reference sheet provides
The Grade 10 Mathematics Reference Sheet is available to every student throughout the test, and a copy appears at the end of the released items. It gives:
- Geometry: area of a triangle, rectangle, parallelogram, trapezoid, and circle; circumference ; total surface area formulas.
- Volume: prism , cylinder , sphere , cone , pyramid .
- Right triangles: the Pythagorean theorem , the special right triangle ratios, and the trig ratios .
- Algebra and finance: the quadratic formula, simple interest, and distance rate time, with .
Because these are provided, the test does not reward memorizing them; it rewards knowing which one fits a problem and using it correctly.
What the reference sheet does not provide
Just as important is the list of essentials not on the sheet, which you must carry in memory:
- The slope formula , and the line forms (slope-intercept , point-slope).
- The distance and midpoint formulas (the distance formula is the Pythagorean theorem applied to coordinates).
- Vertex form and the axis of symmetry .
- The laws of exponents and logarithms.
- Every statistics formula (mean, IQR, correlation) and the probability rules.
A student who assumes the slope or the statistics formulas are on the sheet wastes time searching for them. Memorize the gaps.
Using the calculator wisely
A calculator is allowed only on the calculator session (the other is calculator-free). Where allowed, use it to:
- Perform arithmetic quickly and accurately, especially with decimals, large numbers, or .
- Check an answer you found by hand, by substituting back or recomputing a different way.
But the calculator does not choose the method, set up the equation, or interpret the result. On constructed-response items it cannot earn the method credit for you, so you still show the setup and steps. Treating the calculator as a check rather than a crutch keeps you from leaning on it where it cannot help, including the entire no-calculator session.
Try this
Q1. Is the midpoint formula on the reference sheet?
- Cue. No; memorize it.
Q2. Which is on the sheet: the volume of a cone or the slope formula?
- Cue. The volume of a cone.
Exam-style practice questions
Practice questions written in the style of MA DESE exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.
Grade 10 Math MCAS (style)1 marksSelected-response. Which formula is NOT on the Grade 10 Mathematics Reference Sheet? (A) the area of a circle (B) the slope formula (C) the volume of a cylinder (D) the quadratic formulaShow worked answer →
The correct answer is (B).
The reference sheet provides the area of a circle, the volume of a cylinder, and the quadratic formula, but it does not give the slope formula. The slope must be memorized, along with the line forms and the exponent and logarithm rules. Knowing the gaps in the sheet is part of preparing efficiently.
Grade 10 Math MCAS (style)2 marksShort-answer. A question on the calculator session asks for the area of a circle with radius 7 to the nearest whole number. Describe how to use the reference sheet and calculator together.Show worked answer →
A 2-point item: one point for the formula from the sheet, one for the calculator step and rounding.
Look up the area formula on the reference sheet: . Substitute : . On the calculator session, use the calculator's key (or ): , which rounds to square units. The strategy is to get the formula from the sheet, set up by hand, then let the calculator handle the arithmetic and round only at the end.
Related dot points
- Build the by-hand fluency the calculator-free session demands: integer and fraction arithmetic, factoring, simplifying radicals, and exact answers, and apply efficient mental-math strategies.
A Grade 10 Math MCAS strategy answer on the calculator-free session: building fluency in integer and fraction arithmetic, factoring, simplifying radicals, keeping exact answers, and using efficient mental-math strategies.
- Use estimation to judge whether an answer is reasonable, substitute solutions back to verify, and apply units and benchmarks to catch errors before submitting.
A Grade 10 Math MCAS strategy answer on estimation and checking: judging whether an answer is reasonable, substituting back to verify, using units and benchmarks, and ruling out impossible options.
- Compute the volume and surface area of prisms, cylinders, cones, spheres, and pyramids using the reference sheet formulas, and solve real-world problems involving capacity and material.
A Grade 10 Math MCAS answer on volume and surface area of prisms, cylinders, cones, spheres, and pyramids, using the reference sheet formulas, and applying them to capacity and material problems with appropriate units.
- Apply the Pythagorean theorem and the sine, cosine, and tangent ratios to find missing sides and angles in right triangles, including in real-world contexts such as angles of elevation.
A Grade 10 Math MCAS answer on right triangle trigonometry: the Pythagorean theorem, the sine, cosine, and tangent ratios with SOH-CAH-TOA, finding missing sides and angles, and angle-of-elevation problems.
Sources & how we know this
- MCAS Grade 10 Mathematics Reference Sheet — Massachusetts DESE (2024)
- Release of Spring 2025 MCAS Test Items: Grade 10 Mathematics — Massachusetts DESE (2025)