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Calculation Fundamentals Flashcards

7 cards from real ATAR practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Calculation Fundamentals flashcards as text

  1. What is the greatest common factor (GCF) of 84 and 126?

    Answer: 42

    84 = 2²×3×7 and 126 = 2×3²×7; GCF = 2×3×7 = 42.

  2. If a/b = 3/5 and b = 35, what is the value of a?

    Answer: 21

    a/35 = 3/5, so a = 35×3/5 = 105/5 = 21.

  3. A cylinder has radius 5 cm and height 10 cm. What is its volume? (Use π ≈ 3.14)

    Answer: 785 cm³

    Volume = πr²h = 3.14 × 25 × 10 = 785 cm³.

  4. What is 7/9 − 2/3 expressed as a fraction in lowest terms?

    Answer: 1/9

    Convert 2/3 to 6/9; then 7/9 − 6/9 = 1/9.

  5. A store marks up goods by 40% then offers a 20% sale. What is the net effect on the original price?

    Answer: 12% increase

    1.40 × 0.80 = 1.12, so the final price is 12% above the original.

  6. Evaluate: 5! (5 factorial)

    Answer: 120

    5! = 5×4×3×2×1 = 120.

  7. Two angles of a triangle are 47° and 68°. What is the third angle?

    Answer: 65°

    Sum of angles in a triangle = 180°; third angle = 180 − 47 − 68 = 65°.