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Mental Maths

8 questions · MediumHard

Mental maths shortcuts turn long multiplications into quick steps. They come from simple algebra and number facts that are easy to learn.

💡 Quick tricks

  1. ×25 = ×100 ÷ 4: 25 × 132 = 13,200 ÷ 4 = 3,300.
  2. (a − b)(a + b) = a² − b²: 98 × 102 = 100² − 2² = 9,996.
  3. To square a number ending in 5: n5² = n(n + 1) followed by 25, so 105² = 11,025.
8 questions

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Tap an answer. You'll see if it's right, and why. Easy ones come first.

  1. Q1Medium

    25 × 108 = ?

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    Answer: D. 2,700

    💡 25 = 100 ÷ 4, so 108 × 100 ÷ 4 = 2,700.

  2. Q2Medium

    11 × 26 = ?

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    Answer: D. 286

    💡 Put 2 + 6 = 8 between the digits: 286.

  3. Q3Medium

    25 × 28 = ?

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    Answer: D. 700

    💡 25 = 100 ÷ 4, so 28 × 100 ÷ 4 = 700.

  4. Q4Medium

    25 × 96 = ?

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    Answer: C. 2,400

    💡 25 = 100 ÷ 4, so 96 × 100 ÷ 4 = 2,400.

  1. Q5Hard

    89 × 91 = ?

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    Answer: A. 8,099

    💡 (90 − 1)(90 + 1) = 90² − 1² = 8,099.

  2. Q6Hard

    87 × 93 = ?

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    Answer: C. 8,091

    💡 (90 − 3)(90 + 3) = 90² − 3² = 8,091.

  3. Q7Hard

    45² = ?

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    Answer: D. 2,025

    💡 4 × 5 = 20, then write 25: 2,025.

  4. Q8Hard

    69 × 71 = ?

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    Answer: B. 4,899

    💡 (70 − 1)(70 + 1) = 70² − 1² = 4,899.

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