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Capstone Oct 26 - Nov 1 25 questions
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Monday 26 October 2026

Keystones #299 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 67.5 ≤ x < 68.5
  2. 2. Algebra

    Solve: 2x + 3y = 31 and 3x - y = 19

    Answer: x = 8, y = 5
  3. 3. Geometry

    Find the distance between (-1, -8) and (11, 5)

    Answer: 17.69
  4. 4. Ratio

    A car worth £19,212.00 depreciates by 12% each year for 3 years. What is it worth after 3 years?

    Answer: £13,092.44
  5. 5. Statistics

    A bag has 2 red out of 15 balls. If you pick 149 times (with replacement), how many times would you expect red?

    Answer: 19.9

Tuesday 27 October 2026

Keystones #300 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 73.5 ≤ x < 74.5
  2. 2. Algebra

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

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

    Find the distance between (2, -3) and (7, 4)

    Answer: 8.6
  4. 4. Ratio

    A car worth £17,569.00 depreciates by 21% each year for 3 years. What is it worth after 3 years?

    Answer: £8,662.20
  5. 5. Statistics

    A bag has 2 red out of 9 balls. If you pick 90 times (with replacement), how many times would you expect red?

    Answer: 20

Wednesday 28 October 2026

Keystones #301 · 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 = 34 and 3x - y = 7

    Answer: x = 5, y = 8
  3. 3. Geometry

    Find the distance between (-5, 0) and (3, 6)

    Answer: 10
  4. 4. Ratio

    A car worth £5,812.00 depreciates by 13% each year for 4 years. What is it worth after 4 years?

    Answer: £3,329.68
  5. 5. Statistics

    A bag has 5 red out of 11 balls. If you pick 112 times (with replacement), how many times would you expect red?

    Answer: 50.9

Thursday 29 October 2026

Keystones #302 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 69.5 ≤ x < 70.5
  2. 2. Algebra

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

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

    Find the distance between (-2, -6) and (10, 3)

    Answer: 15
  4. 4. Ratio

    A car worth £9,683.00 depreciates by 23% each year for 5 years. What is it worth after 5 years?

    Answer: £2,620.98
  5. 5. Statistics

    A bag has 5 red out of 13 balls. If you pick 54 times (with replacement), how many times would you expect red?

    Answer: 20.8

Friday 30 October 2026

Keystones #303 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 27.5 ≤ x < 28.5
  2. 2. Algebra

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

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

    Find the distance between (0, 2) and (8, 10)

    Answer: 11.31
  4. 4. Ratio

    A car worth £19,368.00 depreciates by 14% each year for 3 years. What is it worth after 3 years?

    Answer: £12,319.13
  5. 5. Statistics

    A bag has 4 red out of 9 balls. If you pick 123 times (with replacement), how many times would you expect red?

    Answer: 54.7