Grade 6 (Age 12) Singapore Maths Worksheet — 10 Five‑Step Mixed‑Operations BODMAS Practice Problems

Instructions

Solve the following problems by following the BODMAS rule. Remember the correct order of operations to find the right answer. Show your working steps clearly.

1. Brackets: Solve calculations inside brackets first ( ).
2. Orders: Next, calculate powers and square roots (e.g., 3²).
3. Division and Multiplication: Work from left to right.
4. Addition and Subtraction: Finally, work from left to right.

Problems

1. (60 - (4 * 5) + 10) ÷ 5 + 7
2. 100 - [ 2 * (15 + 25 ÷ 5) ] + 8
3. 72 ÷ 8 * 3 + 15 - 9
4. 5 * (4² - 6) + 30 ÷ 3
5. 80 + [ (6 * 9) - (72 ÷ 8) ] ÷ 5
6. 120 ÷ 10 * 2 - 5 + 3 * 4
7. (10² ÷ 20) + (6 * 7 - 12)
8. [(4 + 8) * 5 - 15] ÷ 3² + 9
9. (45 + 5 * 3) ÷ (18 - 4 * 2)
10. 200 - ( (12 * 12) ÷ 6 + 6) * 3

Answer Key

1. (60 - (4 * 5) + 10) ÷ 5 + 7
= (60 - 20 + 10) ÷ 5 + 7
= (40 + 10) ÷ 5 + 7
= 50 ÷ 5 + 7
= 10 + 7
= 17
   
   
2. 100 - [ 2 * (15 + 25 ÷ 5) ] + 8
= 100 - [ 2 * (15 + 5) ] + 8
= 100 - [ 2 * 20 ] + 8
= 100 - 40 + 8
= 60 + 8
= 68
   
   
3. 72 ÷ 8 * 3 + 15 - 9
= 9 * 3 + 15 - 9
= 27 + 15 - 9
= 42 - 9
= 33
   
   
4. 5 * (4² - 6) + 30 ÷ 3
= 5 * (16 - 6) + 30 ÷ 3
= 5 * 10 + 30 ÷ 3
= 50 + 10
= 60
   
   
5. 80 + [ (6 * 9) - (72 ÷ 8) ] ÷ 5
= 80 + [ 54 - 9 ] ÷ 5
= 80 + 45 ÷ 5
= 80 + 9
= 89
   
   
6. 120 ÷ 10 * 2 - 5 + 3 * 4
= 12 * 2 - 5 + 12
= 24 - 5 + 12
= 19 + 12
= 31
   
   
7. (10² ÷ 20) + (6 * 7 - 12)
= (100 ÷ 20) + (42 - 12)
= 5 + 30
= 35
   
   
8. [(4 + 8) * 5 - 15] ÷ 3² + 9
= [12 * 5 - 15] ÷ 9 + 9
= [60 - 15] ÷ 9 + 9
= 45 ÷ 9 + 9
= 5 + 9
= 14
   
   
9. (45 + 5 * 3) ÷ (18 - 4 * 2)
= (45 + 15) ÷ (18 - 8)
= 60 ÷ 10
= 6
   
   
10. 200 - ( (12 * 12) ÷ 6 + 6) * 3
= 200 - ( 144 ÷ 6 + 6) * 3
= 200 - ( 24 + 6) * 3
= 200 - 30 * 3
= 200 - 90
= 110