Order of operations questions with answers

Questions

1. Question 1× and ÷ before + and −

   Calculate $50 - 8 \times 4 + 21 \div 7$.

   Show the worked solution

   1. Step 1: First, × and ÷, working from left to right$50 - 8 \times 4 + 21 \div 7$$= 50 - 32 + 3$
   2. Step 2: Then + and −, working from left to right$= 21$
2. Question 2Brackets and negative numbers

   Calculate $(-12 + 5) \times (-4) - (-35) \div 7$.

   Show the worked solution

   1. Step 1: Brackets first$(-12 + 5) \times (-4) - (-35) \div 7$$= -7 \times (-4) - (-35) \div 7$
   2. Step 2: Then × and ÷, working from left to right$= 28 - (-5)$
   3. Step 3: Then + and −, working from left to right$= 33$
3. Question 3Powers and negative numbers

   Calculate $(-2)^{3} + 3 \times (-4)^{2}$.

   Show the worked solution

   1. Step 1: First, powers$(-2)^{3} + 3 \times (-4)^{2}$$= -8 + 3 \times 16$
   2. Step 2: Then × and ÷, working from left to right$= -8 + 48$
   3. Step 3: Then + and −, working from left to right$= 40$
4. Question 4Fractions

   Calculate $-\dfrac{2}{3} \times \dfrac{3}{4} - \dfrac{1}{6}$, giving your answer as a fraction in its simplest form.

   Show the worked solution

   1. Step 1: First, × and ÷, working from left to right, simplifying each fraction$-\dfrac{2}{3} \times \dfrac{3}{4} - \dfrac{1}{6}$$= -\dfrac{1}{2} - \dfrac{1}{6}$
   2. Step 2: Then + and −, working from left to right, simplifying each fraction$= -\dfrac{2}{3}$