Maths Olympiad Prep

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Stage 1 · Algebra

10 problems · · mathsolympiadprep.com

The answer key prints on its own page at the end.

  1. The value of 102+10+110^2+10+1 is

    1. A101101
    2. B10351035
    3. C10111011
    4. D111111
    5. E3131

    Algebra Solution and answer checking →

  2. What is the value of 102+622\dfrac{10^2 + 6^2}{2}?

    1. A1616
    2. B8686
    3. C3434
    4. D6868
    5. E128128

    Algebra Solution and answer checking →

  3. Which of the following has the largest value?

    1. A424^2
    2. B4×24\times 2
    3. C424-2
    4. D42\dfrac{4}{2}
    5. E4+24+2

    Algebra Solution and answer checking →

  4. What is the value of 13+15+1713+15+17?

    1. A3535
    2. B4545
    3. C5555
    4. D3939
    5. E5151

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  5. The value of $(2 ×\times 0) + (2 ×\times
    5)$ is

    1. A00
    2. B77
    3. C1010
    4. D1212
    5. E2020

    Algebra Solution and answer checking →

  6. Based on the graph shown, which day of the week had the highest
    temperature?

    Hide/Reveal Description of Graph

    A bar graph of Daily Temperature over a 7-day period. The data is given in
    the following table.

    Day of the Week
    Temperature (℃)

    Monday
    16

    Tuesday
    16

    Wednesday
    18

    Thursday
    21

    Friday
    25

    Saturday
    19

    Sunday
    15

    1. ATuesday
    2. BThursday
    3. CFriday
    4. DSaturday
    5. ESunday

    Algebra Solution and answer checking →

  7. The expression 2+3×5+22+3\times 5+2 equals

    1919
    2727
    3535
    1717
    3232

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  8. The average (mean) of two numbers is 7. One of the numbers is 5.
    The other number is

    1. A66
    2. B44
    3. C33
    4. D88
    5. E99

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  9. Seong-hun had 3636 dried
    apricot pieces that he gave to his 44 children. Each child received the same
    number of pieces. How many pieces did each child receive?

    1. A1212
    2. B66
    3. C33
    4. D99
    5. E1010

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  10. Which of the following is closest to 5 cm?

    The length of a full size school bus
    The height of a picnic table
    The height of an elephant
    The length of your foot
    The length of your thumb

    Algebra Solution and answer checking →

Answer key — Stage 1 · Algebra

Worked solutions for every problem are on the site, one page per problem.

  1. EE open
  2. DD open
  3. EE open
  4. BB open
  5. CC open
  6. CC open
  7. AA open
  8. EE open
  9. DD open
  10. CC open

Problems belong to the competitions that set them and are reproduced from open datasets under their licences; every problem page names its source. Free to copy for classroom use.