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Capstone Apr 13 - 19 25 questions
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Monday 13 April 2026

Keystones #103 · Five questions · Open this day only

  1. 1. Number

    90 is rounded to the nearest integer. What is the error interval?

    Answer: 89.5 ≤ x < 90.5
  2. 2. Algebra

    Solve: 2x + 3y = 20 and 3x - y = 19

    Answer: x = 7, y = 2
  3. 3. Geometry

    Find the distance between (-2, -7) and (8, 12)

    Answer: 21.47
  4. 4. Ratio

    A car worth £13,372.00 depreciates by 25% each year for 3 years. What is it worth after 3 years?

    Answer: £5,641.31
  5. 5. Statistics

    A bag has 5 red out of 10 balls. If you pick 128 times (with replacement), how many times would you expect red?

    Answer: 64

Tuesday 14 April 2026

Keystones #104 · Five questions · Open this day only

  1. 1. Number

    21 is rounded to the nearest integer. What is the error interval?

    Answer: 20.5 ≤ x < 21.5
  2. 2. Algebra

    Solve: 2x + 3y = 40 and 3x - y = 16

    Answer: x = 8, y = 8
  3. 3. Geometry

    Find the distance between (-7, -4) and (11, 9)

    Answer: 22.2
  4. 4. Ratio

    A car worth £12,458.00 depreciates by 12% each year for 3 years. What is it worth after 3 years?

    Answer: £8,489.78
  5. 5. Statistics

    A bag has 5 red out of 12 balls. If you pick 115 times (with replacement), how many times would you expect red?

    Answer: 47.9

Wednesday 15 April 2026

Keystones #105 · Five questions · Open this day only

  1. 1. Number

    51 is rounded to the nearest integer. What is the error interval?

    Answer: 50.5 ≤ x < 51.5
  2. 2. Algebra

    Solve: 2x + 3y = 27 and 3x - y = 24

    Answer: x = 9, y = 3
  3. 3. Geometry

    Find the distance between (-8, 0) and (7, 7)

    Answer: 16.55
  4. 4. Ratio

    A car worth £13,893.00 depreciates by 15% each year for 4 years. What is it worth after 4 years?

    Answer: £7,252.23
  5. 5. Statistics

    A bag has 4 red out of 11 balls. If you pick 118 times (with replacement), how many times would you expect red?

    Answer: 42.9

Thursday 16 April 2026

Keystones #106 · Five questions · Open this day only

  1. 1. Number

    98 is rounded to the nearest integer. What is the error interval?

    Answer: 97.5 ≤ x < 98.5
  2. 2. Algebra

    Solve: 2x + 3y = 32 and 3x - y = 4

    Answer: x = 4, y = 8
  3. 3. Geometry

    Find the distance between (-8, 2) and (6, 6)

    Answer: 14.56
  4. 4. Ratio

    A car worth £5,163.00 depreciates by 25% each year for 4 years. What is it worth after 4 years?

    Answer: £1,633.61
  5. 5. Statistics

    A bag has 2 red out of 9 balls. If you pick 65 times (with replacement), how many times would you expect red?

    Answer: 14.4

Friday 17 April 2026

Keystones #107 · Five questions · Open this day only

  1. 1. Number

    79 is rounded to the nearest integer. What is the error interval?

    Answer: 78.5 ≤ x < 79.5
  2. 2. Algebra

    Solve: 2x + 3y = 31 and 3x - y = 8

    Answer: x = 5, y = 7
  3. 3. Geometry

    Find the distance between (-8, -1) and (11, 9)

    Answer: 21.47
  4. 4. Ratio

    A car worth £8,115.00 depreciates by 17% each year for 5 years. What is it worth after 5 years?

    Answer: £3,196.53
  5. 5. Statistics

    A bag has 3 red out of 10 balls. If you pick 81 times (with replacement), how many times would you expect red?

    Answer: 24.3