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Stage 1 · Algebra

10 problems · · mathsolympiadprep.com

Print or save as PDF The answer key prints on its own page at the end.

1. The value of $10^2+10+1$ is

   1. A$101$
   2. B$1035$
   3. C$1011$
   4. D$111$
   5. E$31$

   CEMC Gauss (Grade 8) 2013

   Algebra Solution and answer checking →

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

   1. A$16$
   2. B$86$
   3. C$34$
   4. D$68$
   5. E$128$

   CEMC Fermat 2013

   Algebra Solution and answer checking →

3. Which of the following has the largest value?

   1. A$4^2$
   2. B$4\times 2$
   3. C$4-2$
   4. D$\dfrac{4}{2}$
   5. E$4+2$

   CEMC Pascal 2016

   Algebra Solution and answer checking →

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

   1. A$35$
   2. B$45$
   3. C$55$
   4. D$39$
   5. E$51$

   CEMC Cayley 2026

   Algebra Solution and answer checking →

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

   1. A$0$
   2. B$7$
   3. C$10$
   4. D$12$
   5. E$20$

   CEMC Pascal 2025

   Algebra Solution and answer checking →

6. The value of $1000+200-10+1$ is

   1. A$1191$
   2. B$1190$
   3. C$1189$
   4. D$1209$
   5. E$1211$

   CEMC Gauss (Grade 8) 2015

   Algebra Solution and answer checking →

7. The expression $2+3\times 5+2$ equals

   $19$
   $27$
   $35$
   $17$
   $32$

   CEMC Fermat 2021

   Algebra Solution and answer checking →

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

   1. A$6$
   2. B$4$
   3. C$3$
   4. D$8$
   5. E$9$

   CEMC Fermat 2022

   Algebra Solution and answer checking →

9. Seong-hun had $36$ dried
   apricot pieces that he gave to his $4$ children. Each child received the same
   number of pieces. How many pieces did each child receive?

   1. A$12$
   2. B$6$
   3. C$3$
   4. D$9$
   5. E$10$

   CEMC Gauss (Grade 8) 2025

   Algebra Solution and answer checking →

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

    CEMC Gauss (Grade 8) 2015

    Algebra Solution and answer checking →

Answer key — Stage 1 · Algebra

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

1. $E$ open
2. $D$ open
3. $E$ open
4. $B$ open
5. $C$ open
6. $C$ open
7. $A$ open
8. $E$ open
9. $D$ open
10. $C$ open

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