PRELIMINARY STAGE
2013
Osei Tutu SHS
Yaa Asantewaah SHS
MfantsiMan Girls
QUESTION
Insert parentheses in the equation so that it is true: $3+5^2-8\times3+5=0$.
ANSWER: $(3+5)^2-8\times(3+5)=0$
SOLUTION
$(3+5)^2-8(3+5)=64-64=0$.
PRACTICE QUESTIONS
Insert parentheses so that each equation is true.
1. $2+4^2-6\times2+4=0$
ANSWER: $(2+4)^2-6\times(2+4)=0$
SOLUTION
Group $2+4$ so that it is squared and also multiplied by $6$:
$(2+4)^2-6\times(2+4)=36-36=0$
2. $1+3^2-4\times1+3=0$
ANSWER: $(1+3)^2-4\times(1+3)=0$
SOLUTION
Group $1+3$ so that it is squared and also multiplied by $4$:
$(1+3)^2-4\times(1+3)=16-16=0$
3. $4+2^2-6\times4+2=0$
ANSWER: $(4+2)^2-6\times(4+2)=0$
SOLUTION
Group $4+2$ so that it is squared and also multiplied by $6$:
$(4+2)^2-6\times(4+2)=36-36=0$
4. $3+6^2-9\times3+6=0$
ANSWER: $(3+6)^2-9\times(3+6)=0$
SOLUTION
Group $3+6$ so that it is squared and also multiplied by $9$:
$(3+6)^2-9\times(3+6)=81-81=0$
5. $2+7^2-9\times2+7=0$
ANSWER: $(2+7)^2-9\times(2+7)=0$
SOLUTION
Group $2+7$ so that it is squared and also multiplied by $9$:
$(2+7)^2-9\times(2+7)=81-81=0$
6. $5+1^2-6\times5+1=0$
ANSWER: $(5+1)^2-6\times(5+1)=0$
SOLUTION
Group $5+1$ so that it is squared and also multiplied by $6$:
$(5+1)^2-6\times(5+1)=36-36=0$