Change pack
Capstone Jan 5 - 11 25 questions
PDF (questions) PDF (answers)

Monday 5 January 2026

Keystones #5 · 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 = 30 and 3x - y = 23

    Answer: x = 9, y = 4
  3. 3. Geometry

    Find the distance between (-6, -2) and (5, 3)

    Answer: 12.08
  4. 4. Ratio

    A car worth £14,736.00 depreciates by 19% each year for 4 years. What is it worth after 4 years?

    Answer: £6,343.36
  5. 5. Statistics

    A bag has 5 red out of 11 balls. If you pick 108 times (with replacement), how many times would you expect red?

    Answer: 49.1

Tuesday 6 January 2026

Keystones #6 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 55.5 ≤ x < 56.5
  2. 2. Algebra

    Solve: 2x + 3y = 15 and 3x - y = 6

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

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

    Answer: 11.4
  4. 4. Ratio

    A car worth £8,743.00 depreciates by 10% each year for 5 years. What is it worth after 5 years?

    Answer: £5,162.65
  5. 5. Statistics

    A bag has 2 red out of 10 balls. If you pick 116 times (with replacement), how many times would you expect red?

    Answer: 23.2

Wednesday 7 January 2026

Keystones #7 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 53.5 ≤ x < 54.5
  2. 2. Algebra

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

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

    Find the distance between (-1, 1) and (6, 5)

    Answer: 8.06
  4. 4. Ratio

    A car worth £9,986.00 depreciates by 19% each year for 3 years. What is it worth after 3 years?

    Answer: £5,306.97
  5. 5. Statistics

    A bag has 5 red out of 9 balls. If you pick 128 times (with replacement), how many times would you expect red?

    Answer: 71.1

Thursday 8 January 2026

Keystones #8 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 47.5 ≤ x < 48.5
  2. 2. Algebra

    Solve: 2x + 3y = 29 and 3x - y = 5

    Answer: x = 4, y = 7
  3. 3. Geometry

    Find the distance between (-2, -1) and (7, 6)

    Answer: 11.4
  4. 4. Ratio

    A car worth £15,449.00 depreciates by 16% each year for 5 years. What is it worth after 5 years?

    Answer: £6,460.96
  5. 5. Statistics

    A bag has 2 red out of 9 balls. If you pick 75 times (with replacement), how many times would you expect red?

    Answer: 16.7

Friday 9 January 2026

Keystones #9 · Five questions · Open this day only

  1. 1. Number

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

    Answer: 92.5 ≤ x < 93.5
  2. 2. Algebra

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

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

    Find the distance between (-1, -2) and (11, 5)

    Answer: 13.89
  4. 4. Ratio

    A car worth £5,208.00 depreciates by 14% each year for 5 years. What is it worth after 5 years?

    Answer: £2,449.98
  5. 5. Statistics

    A bag has 3 red out of 10 balls. If you pick 65 times (with replacement), how many times would you expect red?

    Answer: 19.5