Simplifying Expressions with GEMA / BEDMAS

Simplify each expression using the correct order of operations.

All objectives

Foundation

16 web questions

Download PDF
  1. $3+4\times 2$
  2. $5+6\div 3$
  3. $9-2\times 4$
  4. $18\div 3+7$
  5. $(8+2)\times 3$
  6. $20\div (4+1)$
  7. $7+3\times 5$
  8. $24\div 6+8$
  9. $15-3\times 2$
  10. $4\times (6-1)$
  11. $(12-5)+9$
  12. $30\div (3\times 2)$
  13. $2+3\times 4-1$
  14. $5\times (2+3)-4$
  15. $16\div 4+2\times 3$
  16. Which is correct: $2+5\times 3=21$ or $2+5\times 3=17$?

Proficient

18 web questions

Download PDF
  1. $14-3\times 2+5$
  2. $18\div 3\times 2$
  3. $(9+7)\div 4$
  4. $6+2\times (5-1)$
  5. $24\div (2+4)+3$
  6. $3\times 4+18\div 6$
  7. $2(7+1)-5$
  8. $5+3^2$
  9. $(10-4)^2$
  10. When $x=3$, simplify $2x+5$.
  11. When $y=4$, simplify $3y-2$.
  12. When $a=2$ and $b=5$, simplify $a+b\times 2$.
  13. When $m=6$, simplify $(m+2)\div 2$.
  14. Is $8-2\times 3=18$ correct? Explain briefly.
  15. Is $(4+5)\times 2=14$ correct? Explain briefly.
  16. Which is greater: $3+4\times 2$ or $(3+4)\times 2$?
  17. Complete: $12\div 3+4=@@HTML0@@$
  18. Complete: $2+3\times (6-2)=@@HTML0@@$

Excellence

18 web questions

Download PDF
  1. Simplify $18-2\times (3+4)$.
  2. Simplify $6+24\div 3\times 2$.
  3. Simplify $5(7-3)+2^3$.
  4. Simplify $(16-4)\div 3+5$.
  5. Simplify $3^2+4\times 5-6$.
  6. Simplify $2(3+5)-4\div 2$.
  7. When $x=4$, simplify $3x+2^2$.
  8. When $p=5$, simplify $2(p-1)+3$.
  9. When $a=3$ and $b=2$, simplify $a^2+b\times 4$.
  10. When $m=8$, simplify $m\div 2+3(m-2)$.
  11. A student says $2+6\div 3\times 4=10$. Are they correct? Explain.
  12. A student says $3(4+2)-5=13$. Are they correct? Explain.
  13. A student says $5+2^3\times 2=26$. Are they correct? Explain.
  14. Which is greater: $4(3+2)-6$ or $4\times 3+2-6$? Show enough working.
  15. Which is smaller: $18\div (3+3)$ or $18\div 3+3$? Explain.
  16. Complete: if $x=2$, then $4x+3(x+1)=@@HTML0@@$.
  17. Complete: if $y=5$, then $2y^2-3y=@@HTML0@@$.
  18. Write brackets so that $6+2\times 5$ has value $40$.