Number - Order of Operations

  a - answer    s - solution    v - video    d - discussion

Question 1


Calculate:

a) $1+2\times3$a s v d
b) $1\times2+3$a s v d
c) $10-4\times2$a s v d
d) $10\times4-2$a s v d
e) $5+6\div2$a s v d
f) $20-10\div5$a s v d
g) $4+5\times3-8$a s v d
h) $50-4\div2-10\times3$a s v d


Question 2


Calculate:

a) $3+5^2$a s v d
b) $10-3^2$a s v d
c) $16\div2^2$a s v d
d) $10\times5^2$a s v d
e) $2^3+1$a s v d
f) $3+8^2-1$a s v d
g) $6^2\div3$a s v d
h) $7^2-3^2$a s v d


Question 3


Calculate:

a) $20-\sqrt{16}$a s v d
b) $27+\sqrt{9}$a s v d
c) $4\times\sqrt{25}$a s v d
d) $64\div\sqrt{4}$a s v d


Question 4


Calculate:

a) $2\times(3+4)$a s v d
b) $7-(2+3)$a s v d
c) $30\div(10-4)$a s v d
d) $9+(8-3)$a s v d
e) $\left(4+6\right)^2$a s v d
f) $\left(3\times4\right)^2$a s v d
g) $\left(5-4\right)\times\left(20\div4\right)$a s v d
h) $\left(52-4^2\right)\div\left(2+4\right)^2$a s v d


Question 5


Calculate:

a) $4\times10\div5$a s v d
b) $50\div5\times2$a s v d
c) $15\times20\div4$a s v d
d) $100\div4\times5$a s v d
e) $60\times6\div2\times5$a s v d
f) $240\div20\times2\div3$a s v d


Question 6


Calculate:

a) $10-4+2$a s v d
b) $16+3-2$a s v d
c) $52-10+4$a s v d
d) $20+10-20$a s v d
e) $60-5+6-2$a s v d
f) $40+20-5+3$a s v d


Question 7


Calculate:

a) $2^{3^2}$a s v d
b) $\sqrt{\sqrt{81}}$a s v d
c) $2^{2^3}$a s v d
d) $\sqrt{\sqrt{16}}$a s v d


Question 8


Calculate:

a) $20-4\times2^2$a s v d
b) $3-3\times0+3\div3$a s v d
c) $10+(5-3)^3$a s v d
d) $8+5\times2+80\div4$a s v d
e) $7\times\sqrt9-(9+10)$a s v d
f) $27-18\div\left(2+1\right)^2$a s v d
g) $8\times15\div3+4\times5^2$a s v d
h) $(8^2-6^2)\times(2^3+3^3)$a s v d
i) $5\times\left(20-3^2\right)^2$a s v d
j) $10-5(3-2(8-6))\div5$a s v d
k) $40-6\left(16-11\right)^2\div10$a s v d
l) $7+7\div7+7\times7-7$a s v d
m) $44\div22\div2\div2$a s v d


Question 9


Insert brackets into the following to make them correct

a) $4+3\times12=84$a s v d
b) $5\times2+3=25$a s v d
c) $20-10+3=7$a s v d
d) $5+6\times7+4=71$a s v d
e) $23-5+3\times6=0$a s v d
f) $2+4\times5-12=18$a s v d
g) $5+7\times4-11+6=16$a s v d
h) $7+2\times8+2\times8=88$a s v d
i) $5+7\times80\div20=48$a s v d
j) $6+2^2\times10\div25=4$a s v d


Question 10


Calculate:

a) $6+\frac{15}{3}$a s v d
b) $\frac{6+15}{3}$a s v d
c) $4\times\frac{10}{5}$a s v d
d) $20\div\frac{28}{7}$a s v d
e) $8\div2\times\frac{20}{5}$a s v d
f) $20\div4\times\frac{88}{6+5}$a s v d
g) $12+\frac{32-20}{2^2+2}-10$a s v d


Question 11


(Harder) Insert brackets into the following to make them correct

a) $5+3^2-6\times7=406$a s v d
b) $3\times18-3+6+4=15$a s v d
c) $10\times4-4-3^2\div3=10$a s v d
d) $100\div\sqrt{36}+2\times7\div1\times7-6=5$a s v d


Question 12


How is this question correct?

a) Calculate $40-20+(3+1)$. You won't believe this, but the answer is $4$!a s v d