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Capstone Jun 1 - 7 25 questions
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Monday 1 June 2026

Keystones #152 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 62.5 ≤ x < 63.5
  2. 2. Algebra

    Solve: 2x + 3y = 37 and 3x - y = 17

    Answer: x = 8, y = 7
  3. 3. Geometry

    Find the distance between (-5, -2) and (4, 7)

    Answer: 12.73
  4. 4. Ratio

    A car worth £17,061.00 depreciates by 22% each year for 4 years. What is it worth after 4 years?

    Answer: £6,315.14
  5. 5. Statistics

    A bag has 2 red out of 14 balls. If you pick 96 times (with replacement), how many times would you expect red?

    Answer: 13.7

Tuesday 2 June 2026

Keystones #153 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 91.5 ≤ x < 92.5
  2. 2. Algebra

    Solve: 2x + 3y = 39 and 3x - y = 20

    Answer: x = 9, y = 7
  3. 3. Geometry

    Find the distance between (-8, -7) and (9, 6)

    Answer: 21.4
  4. 4. Ratio

    A car worth £5,487.00 depreciates by 12% each year for 3 years. What is it worth after 3 years?

    Answer: £3,739.24
  5. 5. Statistics

    A bag has 3 red out of 9 balls. If you pick 68 times (with replacement), how many times would you expect red?

    Answer: 22.7

Wednesday 3 June 2026

Keystones #154 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 65.5 ≤ x < 66.5
  2. 2. Algebra

    Solve: 2x + 3y = 33 and 3x - y = 22

    Answer: x = 9, y = 5
  3. 3. Geometry

    Find the distance between (-7, -2) and (6, 5)

    Answer: 14.76
  4. 4. Ratio

    A car worth £6,218.00 depreciates by 23% each year for 3 years. What is it worth after 3 years?

    Answer: £2,838.72
  5. 5. Statistics

    A bag has 3 red out of 12 balls. If you pick 121 times (with replacement), how many times would you expect red?

    Answer: 30.3

Thursday 4 June 2026

Keystones #155 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 93.5 ≤ x < 94.5
  2. 2. Algebra

    Solve: 2x + 3y = 38 and 3x - y = 24

    Answer: x = 10, y = 6
  3. 3. Geometry

    Find the distance between (-7, -3) and (8, 4)

    Answer: 16.55
  4. 4. Ratio

    A car worth £13,714.00 depreciates by 22% each year for 4 years. What is it worth after 4 years?

    Answer: £5,076.24
  5. 5. Statistics

    A bag has 3 red out of 11 balls. If you pick 147 times (with replacement), how many times would you expect red?

    Answer: 40.1

Friday 5 June 2026

Keystones #156 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 68.5 ≤ x < 69.5
  2. 2. Algebra

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

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

    Find the distance between (-7, -7) and (5, 5)

    Answer: 16.97
  4. 4. Ratio

    A car worth £18,330.00 depreciates by 16% each year for 4 years. What is it worth after 4 years?

    Answer: £9,125.98
  5. 5. Statistics

    A bag has 3 red out of 13 balls. If you pick 128 times (with replacement), how many times would you expect red?

    Answer: 29.5