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100+ Free CRECE Grade 10 Mathematics Practice Questions

Prepare for the Cernimiento, Revisión y Evaluación Continua del Estudiante (CRECE) — Mathematics (Matemáticas), Grade 10 exam with instant access — no signup required.

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DEPR reported island-wide 50% proficiency in Matemáticas for the 2025-2026 administration; DEPR does not publish a separate rate per grade, and CRECE has no pass mark. Pass Rate
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2026 Statistics

Key Facts: CRECE Grade 10 Mathematics Exam

PRCS 2022

Curriculum Framework

DEPR Standards

100

Practice Bank Questions

OpenExamPrep

4 Domains

Core Content Strands

DEPR Blueprint

$0

Student Exam Fee

State Funded

CRECE Grade 10 Mathematics is a geometry assessment: Geometría and Medición are reported separately while numeration, algebra and data analysis share one combined category, matching the grade 10 Geometría course in the Puerto Rico Core Standards 2022. OpenExamPrep's 100-question practice bank is an English-language MCQ study adaptation and is not an official-format simulation or a translation of the official DEPR CRECE assessment.

Sample CRECE Grade 10 Mathematics Practice Questions

Try these sample questions to test your CRECE Grade 10 Mathematics 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 distance between points $(1, 2)$ and $(4, 6)$ in the coordinate plane?
A.5
B.7
C.\sqrt{7}
D.25
Explanation: Use the distance formula $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Substituting the points gives $d = \sqrt{(4 - 1)^2 + (6 - 2)^2} = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$.
2What is the midpoint of the segment connecting points $(-2, 8)$ and $(6, 2)$?
A.(2, 5)
B.(4, 10)
C.(4, 3)
D.(2, 3)
Explanation: Use the midpoint formula $M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$. Substituting the coordinates yields $M = \left(\frac{-2 + 6}{2}, \frac{8 + 2}{2}\right) = \left(\frac{4}{2}, \frac{10}{2}\right) = (2, 5)$.
3What is the radius of a circle defined by the equation $(x - 3)^2 + (y + 2)^2 = 49$?
A.7
B.14
C.49
D.\sqrt{7}
Explanation: The standard equation of a circle is $(x - h)^2 + (y - k)^2 = r^2$. Here $r^2 = 49$, so taking the square root yields radius $r = \sqrt{49} = 7$.
4In a 45°-45°-90° right triangle, each leg has a length of 6 cm. What is the exact length of the hypotenuse?
A.6
B.6\sqrt{2}
C.6\sqrt{3}
D.12
Explanation: In an isosceles right triangle (45°-45°-90°), side lengths follow the ratio $1 : 1 : \sqrt{2}$. Given leg length $x = 6$, the hypotenuse is $x\sqrt{2} = 6\sqrt{2}$ cm.
5In a 30°-60°-90° right triangle, the hypotenuse measures 12 cm. What is the length of the side opposite the 60° angle?
A.6 cm
B.6\sqrt{3} cm
C.12\sqrt{3} cm
D.6\sqrt{2} cm
Explanation: In a 30°-60°-90° triangle, the sides are in ratio $1 : \sqrt{3} : 2$. With hypotenuse $2x = 12$, the short leg opposite 30° is $x = 6$. The long leg opposite 60° is $x\sqrt{3} = 6\sqrt{3}$ cm.
6What is the equation of the line perpendicular to $y = -\frac{1}{2}x + 4$ that passes through point $(3, 1)$?
A.y = 2x - 5
B.y = 2x + 7
C.y = -\frac{1}{2}x + \frac{5}{2}
D.y = -2x + 7
Explanation: Perpendicular lines have negative reciprocal slopes. The slope of the given line is $-1/2$, so the perpendicular slope is $m = 2$. Using point-slope form $y - y_1 = m(x - x_1)$: $y - 1 = 2(x - 3) \implies y - 1 = 2x - 6 \implies y = 2x - 5$.
7What are the center coordinates and radius length of the circle with equation $x^2 + y^2 - 6x + 8y = 0$?
A.Center (3, -4), radius = 5
B.Center (-3, 4), radius = 5
C.Center (3, -4), radius = 25
D.Center (6, -8), radius = 10
Explanation: Complete the square for $x$ and $y$: $(x^2 - 6x + 9) + (y^2 + 8y + 16) = 9 + 16 \implies (x - 3)^2 + (y + 4)^2 = 25$. The center is $(3, -4)$ and the radius is $\sqrt{25} = 5$.
8Triangle ABC has vertices $A(0, 0)$, $B(4, 0)$, and $C(2, 2\sqrt{3})$. What type of triangle is ABC?
A.Isosceles right triangle
B.Scalene acute triangle
C.Equilateral triangle
D.Obtuse triangle
Explanation: Calculate side lengths using distance formula: $AB = 4 - 0 = 4$. $BC = \sqrt{(2-4)^2 + (2\sqrt{3}-0)^2} = \sqrt{(-2)^2 + 12} = \sqrt{4+12} = \sqrt{16} = 4$. $AC = \sqrt{(2-0)^2 + (2\sqrt{3}-0)^2} = \sqrt{4+12} = 4$. Since all three sides equal 4, ABC is an equilateral triangle.
9What is the standard equation of the circle passing through the points $(0, 0)$, $(6, 0)$, and $(0, 8)$?
A.(x - 3)^2 + (y - 4)^2 = 25
B.(x - 6)^2 + (y - 8)^2 = 100
C.(x - 3)^2 + (y - 4)^2 = 5
D.x^2 + y^2 = 25
Explanation: The points form a right triangle in the coordinate plane with right angle at $(0, 0)$. The hypotenuse connects $(6, 0)$ and $(0, 8)$. By Thales's theorem, the hypotenuse is the diameter of the circumscribed circle. Midpoint of diameter is center $M = \left(\frac{6+0}{2}, \frac{0+8}{2}\right) = (3, 4)$. Diameter length is $\sqrt{6^2 + 8^2} = 10 \implies r = 5$. Equation: $(x - 3)^2 + (y - 4)^2 = 25$.
10What is the equation of the perpendicular bisector of the line segment joining points $A(2, 5)$ and $B(8, 1)$?
A.3x - 2y = 9
B.2x + 3y = 19
C.3x + 2y = 21
D.2x - 3y = 1
Explanation: Find midpoint $M = \left(\frac{2+8}{2}, \frac{5+1}{2}\right) = (5, 3)$. Slope $m_{AB} = \frac{1 - 5}{8 - 2} = \frac{-4}{6} = -\frac{2}{3}$. Perpendicular slope $m_\perp = \frac{3}{2}$. Use point-slope form: $y - 3 = \frac{3}{2}(x - 5) \implies 2y - 6 = 3x - 15 \implies 3x - 2y = 9$.

About the CRECE Grade 10 Mathematics Exam

The Cernimiento, Revisión y Evaluación Continua del Estudiante (CRECE) Grade 10 Mathematics assessment is reported under three official categories: Geometría, Medición, and a combined Numeración y Operación / Álgebra / Análisis de datos y Probabilidades. Grade 10 in the Puerto Rico Core Standards 2022 is the Geometría course, covering Euclidean basics and postulates, theorems about lines, angles, triangles and parallelograms, congruence through rigid motions, similarity and dilations, circles, formal constructions, proof, density and design modelling, measurement formulas and cross-sections, and expected value and simulation. OpenExamPrep's 100-question practice bank is an English-language MCQ study adaptation and is not an official-format simulation or a translation of the official DEPR CRECE assessment.

Assessment

DEPR reports CRECE Matemáticas at grade 10 under these official categories: Numeración y Operación / Álgebra / Análisis de datos y Probabilidades; Geometría; Medición. Under the Puerto Rico Core Standards 2022 the grade 10 mathematics course is Geometría. DEPR does not publish per-category item counts or weights. This bank is an English-language MCQ study adaptation distributed across those categories and does not simulate the official format, its Spanish or English delivery language, or its open-response tasks.

Time Limit

Not published by DEPR. CRECE is administered in scheduled school sessions during the spring window (the grade-10 online window ran 13 April to 1 May in 2026).

Passing Score

No pass or fail score. DEPR reports one of four performance levels per subject: Principiante, Aprendiz, Proficiente and Sobresaliente; the combined Proficiente and Sobresaliente share is reported as proficiency.

Exam Fee

Free — no candidate fee; CRECE is funded and administered by DEPR for enrolled students. (Puerto Rico Department of Education (DEPR); delivered by Pearson)

CRECE Grade 10 Mathematics Exam Content Outline

Not published

Numeración y Operación / Álgebra / Análisis de datos y Probabilidades

Numeration, algebra, and data analysis and probability, reported together at grade 10: properties of real numbers, matrices, operations with polynomials, systems of two linear equations, expected value, and probability-based decisions and simulations.

Not published

Geometría

Geometry: figures and their properties, basic Euclidean postulates, congruence and similarity, transformations in the coordinate plane, circles, proofs and formal constructions as appropriate to the grade.

Not published

Medición

Measurement: length, area, perimeter and volume, units and conversions, angle and arc measure, cross-sections and solids of revolution as appropriate to the grade.

How to Pass the CRECE Grade 10 Mathematics Exam

What You Need to Know

  • Passing score: No pass or fail score. DEPR reports one of four performance levels per subject: Principiante, Aprendiz, Proficiente and Sobresaliente; the combined Proficiente and Sobresaliente share is reported as proficiency.
  • Assessment: DEPR reports CRECE Matemáticas at grade 10 under these official categories: Numeración y Operación / Álgebra / Análisis de datos y Probabilidades; Geometría; Medición. Under the Puerto Rico Core Standards 2022 the grade 10 mathematics course is Geometría. DEPR does not publish per-category item counts or weights. This bank is an English-language MCQ study adaptation distributed across those categories and does not simulate the official format, its Spanish or English delivery language, or its open-response tasks.
  • Time limit: Not published by DEPR. CRECE is administered in scheduled school sessions during the spring window (the grade-10 online window ran 13 April to 1 May in 2026).
  • Exam fee: Free — no candidate fee; CRECE is funded and administered by DEPR for enrolled students.

Keys to Passing

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

CRECE Grade 10 Mathematics Study Tips from Top Performers

1Learn the theorem statements you are expected to prove: vertical angles, the parallel-line angle pairs, the triangle sum and exterior angle theorems, the base angles theorem, and the parallelogram properties.
2Practise congruence and similarity criteria — LLL, LAL, ALA and AA — and know why side-side-angle fails; describe congruence as a sequence of rigid motions and similarity as a rigid motion plus a dilation.
3Work the coordinate-geometry toolkit: distance and midpoint, slopes for parallel and perpendicular lines, circle equations by completing the square, and general coordinate proofs written with variables rather than specific numbers.
4Memorise the measurement formulas the standards name — circumference and area of a circle, arc length, and the volume of cylinders, pyramids, cones and spheres — and practise identifying cross-sections and solids of revolution.
5For the combined category, review real-number properties, matrix addition, scalar and 2 × 2 multiplication, operations with polynomials, systems of two linear equations, and expected-value decisions and simulations.

Frequently Asked Questions

What is the DEPR CRECE Grade 10 Mathematics Assessment?

The CRECE (Cernimiento, Revisión y Evaluación Continua del Estudiante (CRECE)) Grade 10 Mathematics Assessment is a statewide standardized examination administered by the Puerto Rico Department of Education (DEPR) to measure student growth and academic proficiency according to the Puerto Rico Core Standards (PRCS 2022).

Is OpenExamPrep's practice test an official replica of the CRECE exam?

No. OpenExamPrep's 100-question practice bank is an English-language MCQ study adaptation and not an official-format simulation or translation of the official DEPR CRECE assessment.

What content areas are tested on the Grade 10 Math exam?

DEPR reports this test under the following official categories: Numeración y Operación / Álgebra / Análisis de datos y Probabilidades; Geometría; Medición. Under the Puerto Rico Core Standards 2022 the grade 10 mathematics course is Geometría. DEPR does not publish weights for these categories.

How long is the CRECE Grade 10 Mathematics exam?

Official item count not published by DEPR. The operational test mixes selección múltiple and respuesta abierta o extendida items; a student who answers four items or fewer is recorded as not having attempted the test. Not published by DEPR. CRECE is administered in scheduled school sessions during the spring window (the grade-10 online window ran 13 April to 1 May in 2026). There is no candidate fee.

What is the passing standard for CRECE Mathematics?

CRECE has no pass mark. DEPR reports one of four performance levels for each subject: Principiante, Aprendiz, Proficiente and Sobresaliente. Reports combine Proficiente and Sobresaliente into a single proficiency figure.

How should 10th grade students prepare for this test?

Students should review key 10th-grade math topics—such as solving quadratics, working with complex numbers, evaluating trigonometric ratios, finding volumes of 3D figures, and calculating conditional probabilities—and practice step-by-step problem solving using this practice bank.