Algebra

25 Skills in Mathematics. 18 are ready to try — three verified questions each, no account needed.

Ready to try

Ages 10–11
Linear number sequences
Generate and describe linear number sequences, including those with negative and decimal steps; identify the term-to-term rule
9 verified questions on this shelf
Ages 10–11
Number Pattern Relationships
Generate two numerical patterns using two given rules; identify relationships between corresponding terms; form ordered pairs and graph them on a coordinate plane
5 verified questions on this shelf
Ages 10–11
Systematic Listing
Enumerate possibilities of combinations of two variables systematically (e.g. all ways to choose from a set of options)
9 verified questions on this shelf
Ages 10–11
Using Simple Formulae
Use simple formulae expressed in words or symbols to calculate values (e.g. perimeter = 2 × (length + width))
21 verified questions on this shelf
Ages 10–11
Writing Algebraic Equations
Express missing number problems algebraically using letters for unknowns; translate word problems into equations
128 verified questions on this shelf
Ages 11–12
Algebraic Notation
Use and interpret algebraic notation including: ab for a × b, 3y for y + y + y, a² for a × a, a/b for a ÷ b, coefficients as fractions, and brackets for grouping; read and write algebraic expressions fluently
12 verified questions on this shelf
Ages 11–12
Collecting Like Terms
Simplify algebraic expressions by collecting like terms — combine terms with the same variable and power (e.g., 3a + 2b + 5a = 8a + 2b) while maintaining equivalence
46 verified questions on this shelf
Ages 11–12
Coordinates (age 11+)
Plot and read coordinates in all four quadrants of the Cartesian plane, using positive and negative x- and y-values to describe positions precisely
6 verified questions on this shelf
Ages 11–13
Expanding Single Brackets
Expand (multiply out) a single term over a bracket using the distributive property, e.g., 3(2x + 5) = 6x + 15; expand expressions involving negative multipliers
53 verified questions on this shelf
Ages 11–12
Expressions & Equations Vocabulary
Understand and use the concepts and vocabulary of expressions, equations, inequalities, terms, and factors; distinguish between an expression (no equals sign), an equation (equals sign), and an inequality (inequality sign)
11 verified questions on this shelf
Ages 11–14
Numbers on a number line
Understand inequalities as statements comparing expressions, represent solutions on a number line, and solve simple linear inequalities using the same inverse-operation methods as equations
35 verified questions on this shelf
Ages 11–14
Solving Linear Equations
Use algebraic methods to solve linear equations in one variable, including equations that require rearrangement, expanding brackets, and collecting terms on both sides; solve equations with rational number coefficients
149 verified questions on this shelf
Ages 12–14
Nth-Term Rules
Find the nth-term expression for an arithmetic sequence by identifying the common difference and the zero-term, and use it to determine any term in the sequence or test whether a given number belongs to the sequence
9 verified questions on this shelf
Ages 12–14
Plotting Linear Graphs
Plot linear graphs by generating a table of values, reduce a two-variable linear equation to the form y = mx + c, and calculate gradients from two points on a line
22 verified questions on this shelf
Ages 12–14
Simple formulae
Understand and use standard mathematical formulae; rearrange formulae to change the subject, performing inverse operations to isolate a different variable
9 verified questions on this shelf
Ages 13–14
Expanding Double Brackets
Expand products of two or more binomials, e.g., (x + 3)(x - 2) = x² + x - 6, using the grid method or FOIL; simplify the result by collecting like terms
9 verified questions on this shelf
Ages 13–14
Quadratic Graphs
Recognise that quadratic functions produce curved (parabolic) graphs, distinguish them from linear graphs, and use plotted quadratic graphs to estimate values and find approximate solutions
9 verified questions on this shelf
Ages 13–14
Simultaneous Equations
Understand that two linear equations can be solved simultaneously by finding the point where their graphs intersect, and interpret this graphically and algebraically as the pair of values satisfying both equations
13 verified questions on this shelf

Being planted

These Skills are on the map, but their questions are still being written and checked.

Ages 10–11
Equations with Two Unknowns
Coming soon
Ages 11–13
Algebraic Transformations
Coming soon
Ages 11–14
Generating Sequences
Coming soon
Ages 11–12
Substituting into Formulae
Coming soon
Ages 12–13
Factorising Expressions
Coming soon
Ages 12–14
Linear Function Graphs
Coming soon
Ages 13–14
Estimating answers (age 13+)
Coming soon

Skill names and descriptions include the Marble Skill Taxonomy © Generative Spark, Inc. (withmarble.com), licensed under ODbL 1.0 (database) and CC BY-SA 4.0 (content). Practice questions are GlowGrades's own, each checked by independent verifiers that must agree before a child ever sees it.