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Capstone Sep 7 - 13 25 questions
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Monday 7 September 2026

Keystones #250 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 64.5 ≤ x < 65.5
  2. 2. Algebra

    Solve: 2x + 3y = 34 and 3x - y = 18

    Answer: x = 8, y = 6
  3. 3. Geometry

    Find the distance between (-6, -6) and (8, 4)

    Answer: 17.2
  4. 4. Ratio

    A car worth £7,083.00 depreciates by 18% each year for 5 years. What is it worth after 5 years?

    Answer: £2,625.95
  5. 5. Statistics

    A bag has 3 red out of 12 balls. If you pick 57 times (with replacement), how many times would you expect red?

    Answer: 14.3

Tuesday 8 September 2026

Keystones #251 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 26.5 ≤ x < 27.5
  2. 2. Algebra

    Solve: 2x + 3y = 30 and 3x - y = 1

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

    Find the distance between (-4, 0) and (4, 7)

    Answer: 10.63
  4. 4. Ratio

    A car worth £5,462.00 depreciates by 17% each year for 4 years. What is it worth after 4 years?

    Answer: £2,592.17
  5. 5. Statistics

    A bag has 2 red out of 10 balls. If you pick 59 times (with replacement), how many times would you expect red?

    Answer: 11.8

Wednesday 9 September 2026

Keystones #252 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 60.5 ≤ x < 61.5
  2. 2. Algebra

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

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

    Find the distance between (1, -7) and (8, 5)

    Answer: 13.89
  4. 4. Ratio

    A car worth £6,825.00 depreciates by 18% each year for 4 years. What is it worth after 4 years?

    Answer: £3,085.73
  5. 5. Statistics

    A bag has 3 red out of 12 balls. If you pick 78 times (with replacement), how many times would you expect red?

    Answer: 19.5

Thursday 10 September 2026

Keystones #253 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 21.5 ≤ x < 22.5
  2. 2. Algebra

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

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

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

    Answer: 14.32
  4. 4. Ratio

    A car worth £8,958.00 depreciates by 17% each year for 3 years. What is it worth after 3 years?

    Answer: £5,122.07
  5. 5. Statistics

    A bag has 2 red out of 10 balls. If you pick 135 times (with replacement), how many times would you expect red?

    Answer: 27

Friday 11 September 2026

Keystones #254 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 84.5 ≤ x < 85.5
  2. 2. Algebra

    Solve: 2x + 3y = 17 and 3x - y = 9

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

    Find the distance between (-1, 2) and (4, 3)

    Answer: 5.1
  4. 4. Ratio

    A car worth £14,244.00 depreciates by 22% each year for 3 years. What is it worth after 3 years?

    Answer: £6,759.52
  5. 5. Statistics

    A bag has 5 red out of 14 balls. If you pick 93 times (with replacement), how many times would you expect red?

    Answer: 33.2