New Interactive Problems in April 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

• 14.07 Misrepresentations of data (1 New Problem)
• 2.07 Optional: Add and subtract algebraic fractions (2 New Problems)
• 8.06 Optional: Applications of simultaneous equations (1 New Problem)

Australian Curriculum Year 10 Advanced -v9 2025

• 14.07 Misrepresentations of data (1 New Problem)
• 2.07 Optional: Add and subtract algebraic fractions (2 New Problems)
• 8.06 Optional: Applications of simultaneous equations (1 New Problem)

Australian Curriculum Year 7 - v9 2ndEdition

• 2.03 Square roots (1 New Problem)

Australian Curriculum Year 8 - v9 2ndEdition

• 1.08 Index laws (7 New Problems)
• 7.02 Transformations and congruence (1 New Problem)
• 8.01 Squares and square roots (1 New Problem)
• 8.05 Applications of Pythagoras' theorem (1 New Problem)
• 9.08 Area of a circle (2 New Problems)

Australian Curriculum Year 9 - v9 2ndEdition

• 3.02 Distributive law (1 New Problem)
• 4.05 Linear graphs (1 New Problem)
• 4.06 Equation of a straight line (2 New Problems)
• 4.07 Parallel and perpendicular lines (7 New Problems)
• 9.01 Area (5 New Problems)

NSW Year 10 Advanced 2024

• 15.07P Misrepresentations of data (1 New Problem)
• 4.05P Applications of simultaneous equations (1 New Problem)

NSW Year 10 Standard 2024

• 10.07P Misrepresentations of data (1 New Problem)
• 3.05C Parallel and perpendicular lines (7 New Problems)

NSW Year 7 2ndEdition 2024

• 2.02 Square roots (1 New Problem)

NSW Year 8 2ndEdition 2024

• 1.09 Index laws (7 New Problems)
• 8.04 Applications of Pythagoras' theorem (1 New Problem)

NSW Year 9 Advanced 2024

• 11.01C Area (5 New Problems)
• 4.05C Distributive law (1 New Problem)
• 6.06C Parallel and perpendicular lines (7 New Problems)
• 8.07P Transformations and congruence (1 New Problem)

NSW Year 9 Standard 2024

• 4.05C Distributive law (1 New Problem)
• 7.01C Area (5 New Problems)

VIC 2.0 Year 10 Pre-general 2025

• 10.07 Misrepresentations of data (1 New Problem)
• 3.05 Parallel and perpendicular lines (7 New Problems)
• 5.05 Applications of simultaneous equations (1 New Problem)

VIC 2.0 Year 10 Pre-methods 2025

• 16.07 Misrepresentations of data (1 New Problem)
• 4.03 Parallel and perpendicular lines (7 New Problems)
• 6.05 Applications of simultaneous equations (1 New Problem)

VIC 2.0 Year 9 2ndEdition 2024

• 3.02 Distributive law (1 New Problem)
• 4.05 Linear graphs (1 New Problem)
• 4.06 Equation of a straight line (2 New Problems)
• 4.07 Parallel and perpendicular lines (7 New Problems)
• 9.01 Area (5 New Problems)

VIC2.0 Year 7 2ndEdition 2024

• 2.03 Square roots (1 New Problem)

VIC2.0 Year 8 2ndEdition 2024

• 1.08 Index laws (7 New Problems)
• 10.08 Area of a circle (2 New Problems)
• 8.02 Transformations and congruence (1 New Problem)
• 9.01 Squares and square roots (1 New Problem)
• 9.05 Applications of Pythagoras' theorem (1 New Problem)

United States

Mathspace Virginia: Algebra 1 for 2023 SOLs

• 1.03 Properties of equality (15 New Problems)
• 2.01 Functions and relations (14 New Problems)
• 2.02 Domain and range (13 New Problems)
• 5.01 Product rule (6 New Problems)
• 5.03 Quotient rule (4 New Problems)
• 7.04 Quadratic functions in standard form (11 New Problems)
• 8.01 Solve quadratics using graphs and tables (10 New Problems)
• 8.05 Solve quadratics using appropriate methods (4 New Problems)

Mathspace Virginia: Algebra 2 for 2023 SOLs

• 1.04 Piecewise functions (20 New Problems)
• 3.05 Zeros and factors (16 New Problems)
• 5.03 Other rational functions (15 New Problems)
• 6.04 Compare functions across representations (3 New Problems)
• 7.04 Univariate data, center, and spread (13 New Problems)

Mathspace Virginia: Geometry for 2023 SOLs

• 1.01 Introduction to the data cycle and Venn diagrams (9 New Problems)
• 11.04 Classify polygons in the coordinate plane (4 New Problems)
• 4.04 Angle and perpendicular bisectors (13 New Problems)
• 5.01 Translations (4 New Problems)
• 6.04 ASA and AAS congruence criteria (15 New Problems)
• 9.04 Trapezoids (11 New Problems)

Mathspace Virginia: Grade 6 for 2023 SOLs

• 3.05 Powers of 10 and place value (4 New Problems)
• 6.01 Algebraic expressions (22 New Problems)
• 7.02 Regular polygons and symmetry (7 New Problems)
• 9.03 Compare representations of data (5 New Problems)
• 9.06 Changing data values and measures of center (1 New Problem)

Mathspace Virginia: Grade 7 for 2023 SOLs

• 1.04 Real-world problems with rational numbers (1 New Problem)
• 2.01 Proportional relationships and ratio tables (23 New Problems)
• 3.03 Represent algebraic expressions (16 New Problems)
• 4.04 Write and represent inequalities (12 New Problems)

Mathspace Virginia: Grade 8 for 2023 SOLs

• 2.01 Represent algebraic expressions (6 New Problems)
• 3.03 Domain and range (14 New Problems)
• 4.04 Compare data sets (20 New Problems)
• 4.06 Misleading data displays (6 New Problems)
• 5.01 Introduction to independent and dependent events (11 New Problems)
• 7.04 Problem solving with volume and surface area (10 New Problems)

VA SOL Skills Book

A1. Equations and Inequalities

• A.EI.1a Write linear inequalities from a context (2 New Problems)
• A.EI.1b Solve multistep equations with distributive property (1 New Problem)
• A.EI.1f Verify and interpret solutions to inequalities (3 New Problems)
• A.EI.2b Solve systems of equations algebraically (1 New Problem)
• A.EI.2b Solve systems of equations graphically (2 New Problems)
• A.EI.3a Solve quadratic equations (4 New Problems)
• A.EI.3a Solve quadratic equations using graphs and tables (4 New Problems)
• A.EI.3a Solve quadratic equations using square roots (1 New Problem)
• A.EI.3a Solve quadratic equations with the quadratic formula (2 New Problems)
• Properties of equality (12 New Problems)

A1. Expressions and Operations

• A.EO.2a Add and subtract polynomials with algebra tiles (4 New Problems)
• A.EO.2c Factor quadratics - difference of squares (2 New Problems)
• A.EO.2c Factor quadratics - perfect square trinomials (3 New Problems)
• A.EO.2d Divide polynomials by binomials (3 New Problems)
• A.EO.3b Simplify expressions with exponents - zero and negative exponents (13 New Problems)

A1. Functions

• A.F.1a Identify domain and range of linear functions (2 New Problems)
• A.F.1a Identify the slope of linear functions (2 New Problems)
• A.F.1dii Write equations of lines given points on the line (7 New Problems)
• A.F.1diii Write equations of lines given the slope and a point (1 New Problem)
• A.F.1g Find outputs of linear functions with function notation (1 New Problem)
• A.F.2b Find zeros and intercepts of quadratic functions (1 New Problem)
• A.F.2d Connect factored form and graphs of quadratic functions (1 New Problem)
• A.F.2e Find domain and range of exponential functions (2 New Problems)
• A.F.2g Interpret function notation in context (3 New Problems)

A2. Equations and Inequalities

• A2.EI.1c Create absolute value inequalities (1 New Problem)
• A2.EI.2d Verify solutions to quadratic inequalities (3 New Problems)
• A2.EI.3a Write systems of quadratic equations (2 New Problems)
• A2.EI.3b Identify the number of solutions to systems of quadratic equations (1 New Problem)
• A2.EI.3c Solve quadratic-quadratic systems of equations (2 New Problems)
• A2.EI.6c Solve polynomial equations (2 New Problems)

A2. Expressions and Operations

• A2.EO.1a Multiply and divide rational expressions (7 New Problems)
• A2.EO.1d Representations of rational expressions (2 New Problems)
• A2.EO.2c Simplify expressions with rational exponents (4 New Problems)
• A2.EO.3b Factor polynomials (one and two variables) (2 New Problems)
• A2.EO.3b Factor polynomials (sum and difference of cubes) (2 New Problems)
• A2.EO.3c Divide polynomials by factorable trinomials (3 New Problems)

A2. Functions

• A2.F.1c Graph cube root functions using transformations (9 New Problems)
• A2.F.1d Represent direct and inverse variation (3 New Problems)
• A2.F.2b Compare and contrast characteristics of functions (1 New Problem)
• A2.F.2f Understand function notation in context (9 New Problems)
• A2.F.2f Use function notation to find inputs and outputs from a graph (1 New Problem)
• A2.F.2f Use function notation to find inputs given an equation (1 New Problem)
• A2.F.2f Use function notation to find outputs given an equation (8 New Problems)

A2. Statistics

• A2.ST.2b Identify bivariate data (4 New Problems)
• A2.ST.2d Classify relationships between quantitative variables (6 New Problems)

G. Polygons and Circles

• G.PC.2b Find sum of interior and exterior angles (1 New Problem)

G. Reasoning, Lines and Transformations

• G.RLT.2a Prove angle relationships formed by parallel lines (1 New Problem)
• G.RLT.3c Transform figures in the coordinate plane (3 New Problems)

G. Triangles

• G.TR.1d Order angles of a triangle (2 New Problems)
• G.TR.1e Find interior and exterior angle measures (1 New Problem)
• G.TR.3d Describe transformations to prove similarity (3 New Problems)
• G.TR.4c Solve problems using triangle trigonometry (2 New Problems)

G. Two- and Three-Dimensional Figures

• G.DF.1b Solve problems with surface area of composite solids (7 New Problems)
• G.DF.1b Solve problems with surface area of spheres (5 New Problems)
• G.DF.1c Solve problems with volume of composite figures (5 New Problems)
• G.DF.1c Solve problems with volume of pyramids and cones (2 New Problems)
• G.DF.1c Solve problems with volume of spheres (3 New Problems)
• G.DF.2a Describe effect of changing dimensions of 3D figures (18 New Problems)
• G.DF.2b Describe affect of changing surface area or volume (13 New Problems)

Grade 6. Computation & Estimation

• 6.CE.2d Estimate problems with integer operations (3 New Problems)

Grade 6. Measurement & Geometry

• 6.MG.1b Describe relationships between parts of a circle (3 New Problems)
• 6.MG.1c Approximate pi (1 New Problem)
• 6.MG.1e Calculate the circumference of a circle (1 New Problem)
• 6.MG.2b Area of parallelograms (1 New Problem)
• 6.MG.3c Graph ordered pairs (2 New Problems)

Grade 6. Number & Number Sense

• 6.NS.1a Estimate percents from a model (7 New Problems)
• 6.NS.1e Order positive fractions, mixed numbers, decimals, and percents (13 New Problems)

Grade 6. Patterns, Functions, & Algebra

• 6.PFA.2a Find unit rates from graphs (1 New Problem)

Grade 7. Measurement & Geometry

• 7.MG.2c Write similarity statements for similar quadrilaterals and triangles (11 New Problems)
• 7.MG.2f Solve for side lengths of similar quadrilaterals and triangles (1 New Problem)
• 7.MG.4b Draw a polygon after a dilation (4 New Problems)
• 7.MG.4c Describe dilations in a situation (5 New Problems)

Grade 7. Patterns, Functions, & Algebra

• 7.PFA.1e Representations of proportional relationships (contextual problems, tables, equations, and graphs) (1 New Problem)
• 7.PFA.3b Solve two-step equations (1 New Problem)
• 7.PFA.4e Write situations for one- and two-step inequalities (8 New Problems)
• 7.PFA.4h Compare solving equations and inequalities (1 New Problem)

Grade 7. Probability & Statistics

• 7.PS.2e Explain how intervals affect histograms (1 New Problem)

Grade 8. Measurement & Geometry

• 8.MG.4a Verify the Pythagorean theorem (1 New Problem)

Grade 8. Patterns, Functions, & Algebra

• 8.PFA.3f Write situations for linear functions (y=mx+b) (9 New Problems)
• 8.PFA.4a Solve multistep equations using models (17 New Problems)
• 8.PFA.4d Write situations for multi-step equations (9 New Problems)
• 8.PFA.4f Interpret solutions to multi-step equations (1 New Problem)
• 8.PFA.5d Create a situation for a multi-step inequality (8 New Problems)

Grade 8. Probability & Statistics

• 8.PS.1b Compare probability of independent and dependent events (2 New Problems)