Flashcards and recall.

Try this with Mathematics Methods – Foundation

1. Write one prompt per card. Use definitions, explanations or examples from your current topic.
2. Answer aloud before turning the card. Split a card if it asks for several unrelated facts.
3. Set aside missed cards and revisit them in a later session.

View Mathematics Methods – Foundation resources on ATARMAXXING ↗

Recall topics

• Make x the subject of y=(3x−2)/5.
• If C=2πr and C=15π cm, determine r.
• Rearrange v=u+at for t, and state the required restriction.
• A student turns A=(p+q)/r into q=A/r−p. Diagnose the error.
• For f(x)=2x²−3x+1, calculate f(−2).
• If g(t)=5−2t, solve g(a)=−7.
• What does f(3)=−4 say about the graph y=f(x)?
• For h(x)=1/(x−4), why is h(4) undefined?
• Expand (2x−3)(x+5).
• Factorise x²−7x+12.
• Factorise 6x²+x−2.
• How can you check a proposed quadratic factorisation without guessing roots again?
• Factorise 9x²−25.
• Expand (x−6)².
• Complete the identity: 4x²+12x+9=(__).
• Why does x²+16 not factor as (x−4)(x+4)?
• Write x²+8x−3 in completed-square form.
• Complete the square for 2x²−12x+5.
• Use completing the square to identify the minimum of 3x²+6x+7.
• Solve 2x²−3x−2=0 using the quadratic formula.
• What does Δ=0 imply about a quadratic’s real zeros?
• Classify the zeros of x²+2x+5 without solving it.
• Which Pascal row supplies coefficients for a fourth power?
• Evaluate 7C2 and interpret it.
• Why are the binomial coefficients symmetric?
• Expand (x+2)⁴.
• Find the x² term in (2x−3)⁴.
• What sign pattern appears in (a−b)⁵?
• State the factor-theorem test for x−a.
• Show that x−2 is a factor of P(x)=x³−3x²+4.
• If P(−3)=0, which linear factor must P contain?
• Factorise x³−27.
• Factorise 8y³+1.
• How can you remember the quadratic factor in a³±b³?
• Solve x³−4x=0.
• Solve x³−2x²−5x+6=0.
• Why must every factor be set equal to zero when solving a factored cubic?
• Simplify x⁵x⁻² for x≠0.
• Rewrite a^(3/2) using a square root, for a≥0.
• Simplify (m³)⁴/m⁵ for m≠0.