Change pack
Capstone Jul 20 - 26 25 questions
PDF (questions) PDF (answers)

Monday 20 July 2026

Keystones #201 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 58.5 ≤ x < 59.5
  2. 2. Algebra

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

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

    Find the distance between (2, -1) and (12, 3)

    Answer: 10.77
  4. 4. Ratio

    A car worth £7,304.00 depreciates by 10% each year for 5 years. What is it worth after 5 years?

    Answer: £4,312.94
  5. 5. Statistics

    A bag has 2 red out of 14 balls. If you pick 114 times (with replacement), how many times would you expect red?

    Answer: 16.3

Tuesday 21 July 2026

Keystones #202 · 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 = 40 and 3x - y = 16

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

    Find the distance between (0, -4) and (3, 3)

    Answer: 7.62
  4. 4. Ratio

    A car worth £6,605.00 depreciates by 18% each year for 4 years. What is it worth after 4 years?

    Answer: £2,986.26
  5. 5. Statistics

    A bag has 2 red out of 11 balls. If you pick 138 times (with replacement), how many times would you expect red?

    Answer: 25.1

Wednesday 22 July 2026

Keystones #203 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 54.5 ≤ x < 55.5
  2. 2. Algebra

    Solve: 2x + 3y = 16 and 3x - y = 13

    Answer: x = 5, y = 2
  3. 3. Geometry

    Find the distance between (0, -6) and (7, 12)

    Answer: 19.31
  4. 4. Ratio

    A car worth £19,641.00 depreciates by 22% each year for 3 years. What is it worth after 3 years?

    Answer: £9,320.68
  5. 5. Statistics

    A bag has 5 red out of 13 balls. If you pick 56 times (with replacement), how many times would you expect red?

    Answer: 21.5

Thursday 23 July 2026

Keystones #204 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 74.5 ≤ x < 75.5
  2. 2. Algebra

    Solve: 2x + 3y = 20 and 3x - y = 8

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

    Find the distance between (1, -8) and (9, 12)

    Answer: 21.54
  4. 4. Ratio

    A car worth £19,187.00 depreciates by 12% each year for 4 years. What is it worth after 4 years?

    Answer: £11,506.35
  5. 5. Statistics

    A bag has 2 red out of 13 balls. If you pick 143 times (with replacement), how many times would you expect red?

    Answer: 22

Friday 24 July 2026

Keystones #205 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 81.5 ≤ x < 82.5
  2. 2. Algebra

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

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

    Find the distance between (-1, -4) and (7, 11)

    Answer: 17
  4. 4. Ratio

    A car worth £10,653.00 depreciates by 23% each year for 4 years. What is it worth after 4 years?

    Answer: £3,744.85
  5. 5. Statistics

    A bag has 4 red out of 9 balls. If you pick 71 times (with replacement), how many times would you expect red?

    Answer: 31.6