New Interactive Problems in March 2025

Once again, we're excited to share the latest topics with new interactive problems this month.

If there's a chapter or topic that you think is in need of some new problems - because it's missing something, or just needs a greater range of questions - please let us know by sending a message to our support team via the chat icon in the Mathspace app.

Australia

Australian Curriculum Year 10 -v9 2025

• 10.07 Optional: Angles in circles (8 New Problems)
• 14.05 Line of good fit (3 New Problems)
• 15.02 Network representations (9 New Problems)
• 2.08 Optional: Multiply and divide algebraic fractions (17 New Problems)
• 3.01 Linear graphs (7 New Problems)
• 5.06 Optional: Transformations of exponentials (10 New Problems)
• 7.01 Circles at origin (13 New Problems)
• 9.07 Optional: Sine and cosine rules (33 New Problems)

Australian Curriculum Year 10 Advanced -v9 2025

• 14.05 Line of good fit (3 New Problems)
• 16.07 Optional: Angles in circles (8 New Problems)
• 2.08 Optional: Multiply and divide algebraic fractions (17 New Problems)
• 3.01 Linear graphs (7 New Problems)
• 5.06 Optional: Transformations of exponentials (10 New Problems)
• 7.01 Circles at origin (13 New Problems)
• 9.06 Optional: Sine and cosine rules (33 New Problems)

Australian Curriculum Year 7 - v9 2ndEdition

• 12.08 Circumference of a circle (12 New Problems)
• 4.01 Identify, order and compare fractions (6 New Problems)

Australian Curriculum Year 8 - v9 2ndEdition

• 6.06 Inequalities (28 New Problems)
• 7.05 Similar triangles (10 New Problems)

Australian Curriculum Year 9 - v9 2ndEdition

• 3.01 Algebra review (9 New Problems)

NSW Year 10 2024

• 14.06P Angles in circles (8 New Problems)
• 19.05C Line of best fit (4 New Problems)
• 9.04P Transformations of exponentials (10 New Problems)

NSW Year 7 2024

• 12.08 Circumference of a circle (12 New Problems)
• 4.01 Identify, order and compare fractions (6 New Problems)

NSW Year 8 2024

• 7.03 Reasoning with angle values and properties (6 New Problems)

NSW Year 9 2024

• 3.01C Algebra review (9 New Problems)
• 8.02P Similar triangles (10 New Problems)
• 9.11P Sine and cosine rules (33 New Problems)

VIC 2.0 Year 10 2024

• 13.07 Optional: Sine and cosine rules (33 New Problems)
• 15.07 Optional: Angles in circles (8 New Problems)
• 20.05 Line of good fit (3 New Problems)
• 4.01 Linear graphs (7 New Problems)
• 8.03 Optional: Transformations of exponentials (10 New Problems)

VIC 2.0 Year 7 2024

• 13.08 Circumference of a circle (12 New Problems)
• 5.01 Identify, order and compare fractions (6 New Problems)

VIC 2.0 Year 8 2024

• 7.06 Inequalities (28 New Problems)
• 8.05 Similar triangles (10 New Problems)

VIC 2.0 Year 9 2024

• 3.01 Algebra review (9 New Problems)

United States

Mathspace Virginia: Algebra 1 for 2023 SOLs

• 2.02 Domain and range (2 New Problems)
• 7.02 Quadratic functions in factored form (16 New Problems)
• 7.04 Quadratic functions in standard form (5 New Problems)
• 8.03 Solve quadratics using square roots (9 New Problems)

Mathspace Virginia: Algebra 2 for 2023 SOLs

• 1.04 Piecewise functions (10 New Problems)
• 4.04 Multiply and divide radical expressions (25 New Problems)
• 5.02 Direct and inverse variation (17 New Problems)
• 6.02 Applications of exponential functions (18 New Problems)

Mathspace Virginia: Geometry for 2023 SOLs

• 10.03 Prisms and cylinders (9 New Problems)
• 10.04 Cones and pyramids (5 New Problems)
• 10.05 Spheres (8 New Problems)
• 12.01 Arc length and sector area (17 New Problems)
• 5.01 Translations (10 New Problems)
• 5.02 Reflections (17 New Problems)
• 5.03 Rotations (18 New Problems)
• 7.01 Dilations (17 New Problems)
• 7.02 Similarity transformations (7 New Problems)

Mathspace Virginia: Grade 6 for 2023 SOLs

• 7.04 Area of parallelograms (7 New Problems)
• 8.01 Characteristics of circles (15 New Problems)
• 8.02 Circumference and pi (14 New Problems)
• 8.03 Area of a circle (17 New Problems)
• 9.06 Changing data values and measures of center (10 New Problems)

Mathspace Virginia: Grade 7 for 2023 SOLs

• 1.02 Add and subtract rational numbers (9 New Problems)
• 2.05 Unit rate and slope (2 New Problems)
• 3.05 Equivalent algebraic expressions (5 New Problems)
• 5.01 Introduction to probability (18 New Problems)
• 6.02 Identify similar figures (16 New Problems)
• 7.02 Surface area of right cylinders (19 New Problems)
• 7.04 Volume of right cylinders (20 New Problems)

Mathspace Virginia: Grade 8 for 2023 SOLs

• 1.06 Sales tax, commissions and tips (1 New Problem)
• 3.04 Independent and dependent variables (11 New Problems)
• 6.04 Perimeter and area of composite shapes (9 New Problems)
• 7.03 Volume of cones (9 New Problems)
• 7.04 Problem solving with volume and surface area (3 New Problems)

VA SOL Skills Book

A1. Equations and Inequalities

• A.EI.1a Write linear equations from a context (11 New Problems)
• A.EI.1a Write linear inequalities from a context (13 New Problems)
• A.EI.1f Verify and interpret solutions to equations (2 New Problems)
• A.EI.2b Solve systems of equations algebraically (1 New Problem)
• A.EI.2h Verify solutions to systems of equations (1 New Problem)

A1. Expressions and Operations

• A.EO.2b Multiply polynomials - two binomials (9 New Problems)
• A.EO.2d Divide polynomials by binomials (2 New Problems)
• A.EO.2d Divide polynomials by factored polynomials (7 New Problems)
• A.EO.2d Divide polynomials by monomials (8 New Problems)
• A.EO.3b Simplify expressions with exponents - quotient rule (2 New Problems)

A1. Functions

• A.F.1a Identify the slope of linear functions (6 New Problems)
• A.F.1e Write equations of parallel lines (2 New Problems)
• A.F.1g Find outputs of linear functions with function notation (3 New Problems)
• A.F.2g Interpret function notation in context (1 New Problem)
• A.F.2g Use function notation to find outputs (7 New Problems)

A1. Statistics

• A.ST.1c Determine appropriate sampling methods (11 New Problems)
• A.ST.1e Quadratic regression (5 New Problems)

A2. Equations and Inequalities

• A2.EI.2d Verify solutions to quadratic inequalities (3 New Problems)

A2. Expressions and Operations

• A2.EO.1a Add and subtract rational expressions (1 New Problem)
• A2.EO.3c Divide polynomials by binomials (8 New Problems)
• A2.EO.3c Divide polynomials by factorable trinomials (8 New Problems)

A2. Functions

• A2.F.1c Graph cube root functions using transformations (1 New Problem)
• A2.F.1c Graph exponential functions using transformations (2 New Problems)
• A2.F.1c Graph logarithmic functions using transformations (1 New Problem)
• A2.F.1c Graph rational functions using transformations (2 New Problems)
• A2.F.2f Use function notation to find inputs and outputs from a graph (9 New Problems)

A2. Statistics

• A2.ST.1c Identify the smooth curve that models a distribution (4 New Problems)
• A2.ST.1j Compare data sets using center, spread, and shape (4 New Problems)
• A2.ST.1j Compare data sets using measures of spread (1 New Problem)

G. Polygons and Circles

• G.PC.3d Find arc length (radians) (3 New Problems)
• G.PC.3e Find sector area (degrees, decimal approximations) (7 New Problems)
• G.PC.3f Solve for arc measure or central angle using arc length and sector area (2 New Problems)
• G.PC.3f Solve for radius or diameter using arc length and sector area (5 New Problems)
• G.PC.4b Find center, radius and diameter from diameter endpoints (5 New Problems)
• G.PC.4b Find the radius and diameter from coordinates (4 New Problems)
• G.PC.4b Identify center, radius and diameter from an equation (1 New Problem)
• G.PC.4b Identify points on a circle (8 New Problems)
• Graph a circle in the coordinate plane (1 New Problem)

G. Reasoning, Lines and Transformations

• G.RLT.1b Identify the converse, inverse, and contrapositive of a conditional (7 New Problems)
• G.RLT.2a Prove angle relationships formed by parallel lines (2 New Problems)

G. Triangles

• G.TR.3a Prove triangles are similar using AA (1 New Problem)
• G.TR.3a Prove triangles are similar using SSS (2 New Problems)

G. Two- and Three-Dimensional Figures

• G.DF.1b Solve problems with surface area of composite solids (8 New Problems)
• G.DF.1b Solve problems with surface area of pyramids and cones (2 New Problems)
• G.DF.1b Solve problems with surface area of spheres (8 New Problems)
• G.DF.1c Solve problems with volume of composite figures (7 New Problems)
• G.DF.1c Solve problems with volume of prisms and cylinders (7 New Problems)
• G.DF.1c Solve problems with volume of pyramids and cones (6 New Problems)
• G.DF.1c Solve problems with volume of spheres (7 New Problems)
• G.DF.1d Find missing dimensions in 3D solids (4 New Problems)
• G.DF.2a Describe effect of changing dimensions of 3D figures (9 New Problems)

Grade 6. Computation & Estimation

• 6.CE.2b Divide integers (1 New Problem)

Grade 6. Measurement & Geometry

• 6.MG.1e Calculate the area of a circle (4 New Problems)
• 6.MG.1e Calculate the circumference of a circle (9 New Problems)
• 6.MG.1e Solve problems with circumference and area of a circle (15 New Problems)
• 6.MG.2b Area of triangles (4 New Problems)

Grade 7. Measurement & Geometry

• 7.MG.2b Identify corresponding sides and angles of polygons (3 New Problems)

Grade 7. Number & Number Sense

• 7.NS.2a Order rational numbers (10 New Problems)

Grade 7. Patterns, Functions, & Algebra

• 7.PFA.2b Represent algebraic expressions I (5 New Problems)
• 7.PFA.2c Equivalent algebraic expressions (11 New Problems)

Grade 8. Measurement & Geometry

• 8.MG.2b Find volume of cones and square-based pyramids (1 New Problem)
• 8.MG.2c Explain relationship between volume of cones and cylinders and volume of rectangular prisms and square-based pyramids (1 New Problem)
• 8.MG.2c Explain the relationship between volume of rectangular prisms and square-based pyramids (5 New Problems)
• 8.MG.5a Find area of composite shapes (5 New Problems)

Grade 8. Number & Number Sense

• 8.NS.1b Compare and order irrational numbers (6 New Problems)

Grade 8. Patterns, Functions, & Algebra

• 8.PFA.3c Graph a line from a table of values (3 New Problems)
• 8.PFA.4a Represent multistep equations (10 New Problems)