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Mathematical Reasoning Flashcards

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

Read the first 7 Mathematical Reasoning flashcards as text

  1. What is 3/4 + 2/3?

    Answer: 17/12

    Finding a common denominator of 12: 9/12 + 8/12 = 17/12.

  2. If 40% of a number is 60, what is the number?

    Answer: 150

    If 40% = 60, then 1% = 1.5, so 100% = 150.

  3. What is the value of 2³ × 5²?

    Answer: 200

    2³ = 8 and 5² = 25; multiplying gives 8 × 25 = 200.

  4. Simplify the fraction 36/48 to its lowest terms.

    Answer: 3/4

    The GCF of 36 and 48 is 12; dividing both by 12 gives 3/4.

  5. A train travels 180 miles in 3 hours. What is its average speed?

    Answer: 60 mph

    Speed = Distance ÷ Time = 180 ÷ 3 = 60 mph.

  6. What is 15% of 240?

    Answer: 36

    15% of 240 = 0.15 × 240 = 36.

  7. If x = 5, what is the value of 3x² − 2x + 1?

    Answer: 66

    3(25) − 2(5) + 1 = 75 − 10 + 1 = 66.

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Sources & references

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  1. education.nsw.gov.au — Exam format, time limit, late registration, registration deadline, registration, retake policy, test dates, passing score, eligibility, test delivery · verified Nov 2026