BODMAS (Ultimate)
Here are the solutions for each of the 25 questions:
1. 30 ÷ (18 – 6 ÷ 2 × 5)
= 30 ÷ (18 – 3 × 5)
= 30 ÷ (18 – 15)
= 30 ÷ 3
= 10
2. 48 ÷ (22 – 8 ÷ 4 × 6)
= 48 ÷ (22 – 2 × 6)
= 48 ÷ (22 – 12)
= 48 ÷ 10
= 4.8
3. 36 ÷ (15 – 9 ÷ 3 × 4)
= 36 ÷ (15 – 3 × 4)
= 36 ÷ (15 – 12)
= 36 ÷ 3
= 12
4. 56 ÷ (28 – 12 ÷ 6 × 7)
= 56 ÷ (28 – 2 × 7)
= 56 ÷ (28 – 14)
= 56 ÷ 14
= 4
5. 72 ÷ (34 – 10 ÷ 2 × 8)
= 72 ÷ (34 – 5 × 8)
= 72 ÷ (34 – 40)
= 72 ÷ (-6)
= -12
6. 40 ÷ (20 – 5 ÷ 5 × 4)
= 40 ÷ (20 – 1 × 4)
= 40 ÷ (20 – 4)
= 40 ÷ 16
= 2.5
7. 64 ÷ (30 – 6 ÷ 3 × 5)
= 64 ÷ (30 – 2 × 5)
= 64 ÷ (30 – 10)
= 64 ÷ 20
= 3.2
8. 54 ÷ (26 – 9 ÷ 2 × 4)
= 54 ÷ (26 – 4.5 × 4)
= 54 ÷ (26 – 18)
= 54 ÷ 8
= 6.75
9. 80 ÷ (24 – 12 ÷ 4 × 3)
= 80 ÷ (24 – 3 × 3)
= 80 ÷ (24 – 9)
= 80 ÷ 15
= 5.33
10. 45 ÷ (18 – 8 ÷ 2 × 6)
= 45 ÷ (18 – 4 × 6)
= 45 ÷ (18 – 24)
= 45 ÷ (-6)
= -7.5
11. 66 ÷ (20 – 10 ÷ 5 × 3)
= 66 ÷ (20 – 2 × 3)
= 66 ÷ (20 – 6)
= 66 ÷ 14
= 4.71
12. 90 ÷ (40 – 16 ÷ 4 × 2)
= 90 ÷ (40 – 4 × 2)
= 90 ÷ (40 – 8)
= 90 ÷ 32
= 2.81
13. 35 ÷ (17 – 8 ÷ 4 × 7)
= 35 ÷ (17 – 2 × 7)
= 35 ÷ (17 – 14)
= 35 ÷ 3
= 11.67
14. 28 ÷ (12 – 6 ÷ 3 × 5)
= 28 ÷ (12 – 2 × 5)
= 28 ÷ (12 – 10)
= 28 ÷ 2
= 14
15. 32 ÷ (18 – 9 ÷ 3 × 6)
= 32 ÷ (18 – 3 × 6)
= 32 ÷ (18 – 18)
= 32 ÷ 0
= Undefined (Division by zero)
16. 60 ÷ (25 – 15 ÷ 5 × 2)
= 60 ÷ (25 – 3 × 2)
= 60 ÷ (25 – 6)
= 60 ÷ 19
= 3.16
17. 84 ÷ (42 – 18 ÷ 6 × 4)
= 84 ÷ (42 – 3 × 4)
= 84 ÷ (42 – 12)
= 84 ÷ 30
= 2.8
18. 96 ÷ (48 – 24 ÷ 8 × 6)
= 96 ÷ (48 – 3 × 6)
= 96 ÷ (48 – 18)
= 96 ÷ 30
= 3.2
19. 50 ÷ (30 – 10 ÷ 2 × 3)
= 50 ÷ (30 – 5 × 3)
= 50 ÷ (30 – 15)
= 50 ÷ 15
= 3.33
20. 38 ÷ (22 – 11 ÷ 5 × 4)
= 38 ÷ (22 – 2.2 × 4)
= 38 ÷ (22 – 8.8)
= 38 ÷ 13.2
= 2.88
21. 44 ÷ (14 – 7 ÷ 7 × 5)
= 44 ÷ (14 – 1 × 5)
= 44 ÷ (14 – 5)
= 44 ÷ 9
= 4.89
22. 63 ÷ (21 – 9 ÷ 3 × 2)
= 63 ÷ (21 – 3 × 2)
= 63 ÷ (21 – 6)
= 63 ÷ 15
= 4.2
23. 55 ÷ (25 – 5 ÷ 1 × 5)
= 55 ÷ (25 – 5 × 5)
= 55 ÷ (25 – 25)
= 55 ÷ 0
= Undefined (Division by zero)
24. 77 ÷ (35 – 14 ÷ 2 × 3)
= 77 ÷ (35 – 7 × 3)
= 77 ÷ (35 – 21)
= 77 ÷ 14
= 5.5
25. 48 ÷ (24 – 6 ÷ 3 × 5)
= 48 ÷ (24 – 2 × 5)
= 48 ÷ (24 – 10)
= 48 ÷ 14
= 3.43
Here are the solutions for all 25 questions:
1. 5 + 4 × [{12 – 3} ÷ 3] – 4 × 2
= 5 + 4 × [9 ÷ 3] – 4 × 2
= 5 + 4 × 3 – 8
= 5 + 12 – 8
= 9
2. 6 + 5 × [{18 – 6} ÷ 2] – 3 × 5
= 6 + 5 × [12 ÷ 2] – 3 × 5
= 6 + 5 × 6 – 15
= 6 + 30 – 15
= 21
3. 8 + 2 × [{14 – 4} ÷ 5] – 5 × 3
= 8 + 2 × [10 ÷ 5] – 5 × 3
= 8 + 2 × 2 – 15
= 8 + 4 – 15
= -3
4. 7 + 3 × [{19 – 9} ÷ 2] – 4 × 6
= 7 + 3 × [10 ÷ 2] – 4 × 6
= 7 + 3 × 5 – 24
= 7 + 15 – 24
= -2
5. 9 + 4 × [{13 – 7} ÷ 3] – 5 × 4
= 9 + 4 × [6 ÷ 3] – 5 × 4
= 9 + 4 × 2 – 20
= 9 + 8 – 20
= -3
6. 4 + 5 × [{20 – 8} ÷ 4] – 3 × 7
= 4 + 5 × [12 ÷ 4] – 3 × 7
= 4 + 5 × 3 – 21
= 4 + 15 – 21
= -2
7. 3 + 6 × [{15 – 5} ÷ 5] – 2 × 4
= 3 + 6 × [10 ÷ 5] – 2 × 4
= 3 + 6 × 2 – 8
= 3 + 12 – 8
= 7
8. 10 + 2 × [{17 – 7} ÷ 2] – 6 × 3
= 10 + 2 × [10 ÷ 2] – 6 × 3
= 10 + 2 × 5 – 18
= 10 + 10 – 18
= 2
9. 5 + 3 × [{21 – 10} ÷ 3] – 4 × 5
= 5 + 3 × [11 ÷ 3] – 4 × 5
= 5 + 3 × 3 – 20
= 5 + 9 – 20
= -6
10. 6 + 2 × [{16 – 4} ÷ 4] – 3 × 8
= 6 + 2 × [12 ÷ 4] – 3 × 8
= 6 + 2 × 3 – 24
= 6 + 6 – 24
= -12
11. 7 + 4 × [{18 – 3} ÷ 5] – 2 × 6
= 7 + 4 × [15 ÷ 5] – 2 × 6
= 7 + 4 × 3 – 12
= 7 + 12 – 12
= 7
12. 8 + 5 × [{19 – 8} ÷ 3] – 3 × 7
= 8 + 5 × [11 ÷ 3] – 3 × 7
= 8 + 5 × 3 – 21
= 8 + 15 – 21
= 2
13. 9 + 3 × [{20 – 7} ÷ 4] – 4 × 2
= 9 + 3 × [13 ÷ 4] – 4 × 2
= 9 + 3 × 3 – 8
= 9 + 9 – 8
= 10
14. 4 + 6 × [{22 – 9} ÷ 2] – 5 × 5
= 4 + 6 × [13 ÷ 2] – 5 × 5
= 4 + 6 × 6 – 25
= 4 + 36 – 25
= 15
15. 3 + 7 × [{21 – 10} ÷ 3] – 2 × 4
= 3 + 7 × [11 ÷ 3] – 2 × 4
= 3 + 7 × 3 – 8
= 3 + 21 – 8
= 16
16. 10 + 4 × [{23 – 11} ÷ 4] – 3 × 6
= 10 + 4 × [12 ÷ 4] – 3 × 6
= 10 + 4 × 3 – 18
= 10 + 12 – 18
= 4
17. 5 + 6 × [{14 – 3} ÷ 2] – 4 × 7
= 5 + 6 × [11 ÷ 2] – 4 × 7
= 5 + 6 × 5 – 28
= 5 + 30 – 28
= 7
18. 6 + 7 × [{13 – 5} ÷ 5] – 3 × 8
= 6 + 7 × [8 ÷ 5] – 3 × 8
= 6 + 7 × 1 – 24
= 6 + 7 – 24
= -11
19. 7 + 2 × [{16 – 8} ÷ 3] – 4 × 9
= 7 + 2 × [8 ÷ 3] – 4 × 9
= 7 + 2 × 2 – 36
= 7 + 4 – 36
= -25
20. 8 + 3 × [{12 – 4} ÷ 4] – 5 × 2
= 8 + 3 × [8 ÷ 4] – 5 × 2
= 8 + 3 × 2 – 10
= 8 + 6 – 10
= 4
21. 9 + 4 × [{17 – 6} ÷ 5] – 6 × 3
= 9 + 4 × [11 ÷ 5] – 6 × 3
= 9 + 4 × 2 – 18
= 9 + 8 – 18
= -1
22. 4 + 5 × [{11 – 7} ÷ 2] – 3 × 4
= 4 + 5 × [4 ÷ 2] – 3 × 4
= 4 + 5 × 2 – 12
= 4 + 10 – 12
= 2
23. 3 + 6 × [{15 – 9} ÷ 3] – 2 × 5
= 3 + 6 × [6 ÷ 3] – 2 × 5
= 3 + 6 × 2 – 10
= 3 + 12 – 10
= 5
24. 10 + 7 × [{19 – 10} ÷ 5] – 4 × 6
= 10 + 7 × [9 ÷ 5] – 4 × 6
= 10 + 7 × 1 – 24
= 10 + 7 – 24
= -7
25. 5 + 8 × [{18 – 11} ÷ 4] – 3 × 7
= 5 + 8 × [7 ÷ 4] – 3 × 7
= 5 + 8 × 1 – 21
= 5 + 8 – 21
= -8
These are the solutions for each of the 25 questions. Let me know if you’d like further clarification on any!
Here are the solutions for all 25 questions:
1. (180 ÷ 6) ÷ 3 – (270 ÷ 15) ÷ 2
= (30 ÷ 3) – (18 ÷ 2)
= 10 – 9
= 1
2. (144 ÷ 12) ÷ 4 – (196 ÷ 14) ÷ 2
= (12 ÷ 4) – (14 ÷ 2)
= 3 – 7
= -4
3. (250 ÷ 5) ÷ 5 – (120 ÷ 10) ÷ 3
= (50 ÷ 5) – (12 ÷ 3)
= 10 – 4
= 6
4. (300 ÷ 15) ÷ 2 – (360 ÷ 18) ÷ 4
= (20 ÷ 2) – (20 ÷ 4)
= 10 – 5
= 5
5. (216 ÷ 12) ÷ 3 – (144 ÷ 16) ÷ 2
= (18 ÷ 3) – (9 ÷ 2)
= 6 – 4.5
= 1.5
6. (280 ÷ 8) ÷ 5 – (168 ÷ 14) ÷ 3
= (35 ÷ 5) – (12 ÷ 3)
= 7 – 4
= 3
7. (400 ÷ 16) ÷ 2 – (225 ÷ 15) ÷ 5
= (25 ÷ 2) – (15 ÷ 5)
= 12.5 – 3
= 9.5
8. (324 ÷ 18) ÷ 3 – (289 ÷ 17) ÷ 2
= (18 ÷ 3) – (17 ÷ 2)
= 6 – 8.5
= -2.5
9. (500 ÷ 25) ÷ 4 – (400 ÷ 20) ÷ 2
= (20 ÷ 4) – (20 ÷ 2)
= 5 – 10
= -5
10. (240 ÷ 8) ÷ 3 – (180 ÷ 15) ÷ 6
= (30 ÷ 3) – (12 ÷ 6)
= 10 – 2
= 8
11. (392 ÷ 14) ÷ 2 – (255 ÷ 17) ÷ 5
= (28 ÷ 2) – (15 ÷ 5)
= 14 – 3
= 11
12. (180 ÷ 9) ÷ 4 – (126 ÷ 9) ÷ 7
= (20 ÷ 4) – (14 ÷ 7)
= 5 – 2
= 3
13. (225 ÷ 15) ÷ 3 – (196 ÷ 14) ÷ 2
= (15 ÷ 3) – (14 ÷ 2)
= 5 – 7
= -2
14. (324 ÷ 18) ÷ 4 – (270 ÷ 15) ÷ 6
= (18 ÷ 4) – (18 ÷ 6)
= 4.5 – 3
= 1.5
15. (294 ÷ 7) ÷ 3 – (225 ÷ 15) ÷ 5
= (42 ÷ 3) – (15 ÷ 5)
= 14 – 3
= 11
16. (360 ÷ 12) ÷ 4 – (320 ÷ 16) ÷ 5
= (30 ÷ 4) – (20 ÷ 5)
= 7.5 – 4
= 3.5
17. (441 ÷ 21) ÷ 3 – (240 ÷ 12) ÷ 4
= (21 ÷ 3) – (20 ÷ 4)
= 7 – 5
= 2
18. (200 ÷ 10) ÷ 2 – (128 ÷ 16) ÷ 2
= (20 ÷ 2) – (8 ÷ 2)
= 10 – 4
= 6
19. (484 ÷ 22) ÷ 4 – (400 ÷ 20) ÷ 5
= (22 ÷ 4) – (20 ÷ 5)
= 5.5 – 4
= 1.5
20. (320 ÷ 8) ÷ 2 – (500 ÷ 25) ÷ 4
= (40 ÷ 2) – (20 ÷ 4)
= 20 – 5
= 15
21. (225 ÷ 9) ÷ 5 – (144 ÷ 12) ÷ 6
= (25 ÷ 5) – (12 ÷ 6)
= 5 – 2
= 3
22. (400 ÷ 20) ÷ 2 – (360 ÷ 18) ÷ 3
= (20 ÷ 2) – (20 ÷ 3)
= 10 – 6.67
= 3.33
23. (180 ÷ 6) ÷ 5 – (500 ÷ 25) ÷ 2
= (30 ÷ 5) – (20 ÷ 2)
= 6 – 10
= -4
24. (441 ÷ 21) ÷ 4 – (243 ÷ 9) ÷ 3
= (21 ÷ 4) – (27 ÷ 3)
= 5.25 – 9
= -3.75
25. (384 ÷ 12) ÷ 2 – (216 ÷ 12) ÷ 6
= (32 ÷ 2) – (18 ÷ 6)
= 16 – 3
= 13
These are the solutions for all 25 questions. Let me know if you need further clarification!
Here are the solutions for the 25 questions provided:
1. 48 ÷ [(12 – 6 ÷ 2) ÷ 3]
= 48 ÷ [(12 – 3) ÷ 3]
= 48 ÷ (9 ÷ 3)
= 48 ÷ 3
= 16
2. 72 ÷ [(24 – 9 ÷ 3) ÷ 2]
= 72 ÷ [(24 – 3) ÷ 2]
= 72 ÷ (21 ÷ 2)
= 72 ÷ 10.5
= 6.86
3. 96 ÷ [(18 – 12 ÷ 4) ÷ 2]
= 96 ÷ [(18 – 3) ÷ 2]
= 96 ÷ (15 ÷ 2)
= 96 ÷ 7.5
= 12.8
4. 60 ÷ [(20 – 8 ÷ 2) ÷ 4]
= 60 ÷ [(20 – 4) ÷ 4]
= 60 ÷ (16 ÷ 4)
= 60 ÷ 4
= 15
5. 84 ÷ [(28 – 16 ÷ 4) ÷ 2]
= 84 ÷ [(28 – 4) ÷ 2]
= 84 ÷ (24 ÷ 2)
= 84 ÷ 12
= 7
6. 108 ÷ [(36 – 9 ÷ 3) ÷ 3]
= 108 ÷ [(36 – 3) ÷ 3]
= 108 ÷ (33 ÷ 3)
= 108 ÷ 11
= 9.82
7. 90 ÷ [(25 – 10 ÷ 2) ÷ 5]
= 90 ÷ [(25 – 5) ÷ 5]
= 90 ÷ (20 ÷ 5)
= 90 ÷ 4
= 22.5
8. 120 ÷ [(30 – 15 ÷ 3) ÷ 2]
= 120 ÷ [(30 – 5) ÷ 2]
= 120 ÷ (25 ÷ 2)
= 120 ÷ 12.5
= 9.6
9. 75 ÷ [(15 – 5 ÷ 1) ÷ 3]
= 75 ÷ [(15 – 5) ÷ 3]
= 75 ÷ (10 ÷ 3)
= 75 ÷ 3.33
= 22.5
10. 100 ÷ [(40 – 20 ÷ 4) ÷ 5]
= 100 ÷ [(40 – 5) ÷ 5]
= 100 ÷ (35 ÷ 5)
= 100 ÷ 7
= 14.29
11. 64 ÷ [(16 – 8 ÷ 4) ÷ 2]
= 64 ÷ [(16 – 2) ÷ 2]
= 64 ÷ (14 ÷ 2)
= 64 ÷ 7
= 9.14
12. 56 ÷ [(18 – 6 ÷ 2) ÷ 3]
= 56 ÷ [(18 – 3) ÷ 3]
= 56 ÷ (15 ÷ 3)
= 56 ÷ 5
= 11.2
13. 110 ÷ [(55 – 15 ÷ 3) ÷ 5]
= 110 ÷ [(55 – 5) ÷ 5]
= 110 ÷ (50 ÷ 5)
= 110 ÷ 10
= 11
14. 72 ÷ [(24 – 6 ÷ 3) ÷ 4]
= 72 ÷ [(24 – 2) ÷ 4]
= 72 ÷ (22 ÷ 4)
= 72 ÷ 5.5
= 13.09
15. 54 ÷ [(27 – 9 ÷ 3) ÷ 3]
= 54 ÷ [(27 – 3) ÷ 3]
= 54 ÷ (24 ÷ 3)
= 54 ÷ 8
= 6.75
16. 66 ÷ [(22 – 11 ÷ 1) ÷ 2]
= 66 ÷ [(22 – 11) ÷ 2]
= 66 ÷ (11 ÷ 2)
= 66 ÷ 5.5
= 12
17. 92 ÷ [(46 – 12 ÷ 4) ÷ 2]
= 92 ÷ [(46 – 3) ÷ 2]
= 92 ÷ (43 ÷ 2)
= 92 ÷ 21.5
= 4.28
18. 81 ÷ [(27 – 9 ÷ 3) ÷ 1]
= 81 ÷ [(27 – 3) ÷ 1]
= 81 ÷ (24 ÷ 1)
= 81 ÷ 24
= 3.38
19. 63 ÷ [(21 – 7 ÷ 1) ÷ 3]
= 63 ÷ [(21 – 7) ÷ 3]
= 63 ÷ (14 ÷ 3)
= 63 ÷ 4.67
= 13.49
20. 144 ÷ [(36 – 12 ÷ 4) ÷ 6]
= 144 ÷ [(36 – 3) ÷ 6]
= 144 ÷ (33 ÷ 6)
= 144 ÷ 5.5
= 26.18
21. 45 ÷ [(15 – 9 ÷ 3) ÷ 5]
= 45 ÷ [(15 – 3) ÷ 5]
= 45 ÷ (12 ÷ 5)
= 45 ÷ 2.4
= 18.75
22. 88 ÷ [(44 – 8 ÷ 4) ÷ 2]
= 88 ÷ [(44 – 2) ÷ 2]
= 88 ÷ (42 ÷ 2)
= 88 ÷ 21
= 4.19
23. 130 ÷ [(26 – 10 ÷ 2) ÷ 2]
= 130 ÷ [(26 – 5) ÷ 2]
= 130 ÷ (21 ÷ 2)
= 130 ÷ 10.5
= 12.38
24. 96 ÷ [(32 – 8 ÷ 4) ÷ 4]
= 96 ÷ [(32 – 2) ÷ 4]
= 96 ÷ (30 ÷ 4)
= 96 ÷ 7.5
= 12.8
25. 84 ÷ [(28 – 7 ÷ 1) ÷ 2]
= 84 ÷ [(28 – 7) ÷ 2]
= 84 ÷ (21 ÷ 2)
= 84 ÷ 10.5
= 8
These are the solutions for all 25 questions. Let me know if you need further assistance!
Here are the solutions for the 25 questions provided:
1. [(-15) ÷ 3] × (-2) + 5 × 4 – 2
= [(-5)] × (-2) + 20 – 2
= 10 + 20 – 2
= 28
2. [(-30) ÷ 5] × (-3) + 4 × 2 – 1
= [(-6)] × (-3) + 8 – 1
= 18 + 8 – 1
= 25
3. [(-40) ÷ 8] × (-4) + 3 × 6 – 3
= [(-5)] × (-4) + 18 – 3
= 20 + 18 – 3
= 35
4. [(-24) ÷ 6] × (-2) + 7 × 2 – 5
= [(-4)] × (-2) + 14 – 5
= 8 + 14 – 5
= 17
5. [(-50) ÷ 10] × (-5) + 2 × 8 – 4
= [(-5)] × (-5) + 16 – 4
= 25 + 16 – 4
= 37
6. [(-16) ÷ 4] × (-3) + 6 × 2 – 7
= [(-4)] × (-3) + 12 – 7
= 12 + 12 – 7
= 17
7. [(-36) ÷ 6] × (-4) + 1 × 9 – 8
= [(-6)] × (-4) + 9 – 8
= 24 + 9 – 8
= 25
8. [(-28) ÷ 7] × (-2) + 9 × 2 – 6
= [(-4)] × (-2) + 18 – 6
= 8 + 18 – 6
= 20
9. [(-12) ÷ 3] × (-4) + 5 × 3 – 9
= [(-4)] × (-4) + 15 – 9
= 16 + 15 – 9
= 22
10. [(-60) ÷ 12] × (-6) + 8 × 1 – 10
= [(-5)] × (-6) + 8 – 10
= 30 + 8 – 10
= 28
11. [(-25) ÷ 5] × (-2) + 10 × 2 – 3
= [(-5)] × (-2) + 20 – 3
= 10 + 20 – 3
= 27
12. [(-18) ÷ 6] × (-3) + 11 × 2 – 4
= [(-3)] × (-3) + 22 – 4
= 9 + 22 – 4
= 27
13. [(-48) ÷ 8] × (-4) + 12 × 1 – 2
= [(-6)] × (-4) + 12 – 2
= 24 + 12 – 2
= 34
14. [(-32) ÷ 4] × (-2) + 13 × 3 – 6
= [(-8)] × (-2) + 39 – 6
= 16 + 39 – 6
= 49
15. [(-45) ÷ 9] × (-5) + 14 × 2 – 7
= [(-5)] × (-5) + 28 – 7
= 25 + 28 – 7
= 46
16. [(-27) ÷ 3] × (-3) + 15 × 2 – 8
= [(-9)] × (-3) + 30 – 8
= 27 + 30 – 8
= 49
17. [(-21) ÷ 7] × (-4) + 16 × 1 – 9
= [(-3)] × (-4) + 16 – 9
= 12 + 16 – 9
= 19
18. [(-54) ÷ 6] × (-3) + 17 × 2 – 10
= [(-9)] × (-3) + 34 – 10
= 27 + 34 – 10
= 51
19. [(-42) ÷ 7] × (-6) + 18 × 3 – 1
= [(-6)] × (-6) + 54 – 1
= 36 + 54 – 1
= 89
20. [(-33) ÷ 11] × (-2) + 19 × 2 – 4
= [(-3)] × (-2) + 38 – 4
= 6 + 38 – 4
= 40
21. [(-63) ÷ 9] × (-7) + 20 × 1 – 5
= [(-7)] × (-7) + 20 – 5
= 49 + 20 – 5
= 64
22. [(-22) ÷ 2] × (-2) + 21 × 2 – 3
= [(-11)] × (-2) + 42 – 3
= 22 + 42 – 3
= 61
23. [(-35) ÷ 5] × (-4) + 22 × 3 – 6
= [(-7)] × (-4) + 66 – 6
= 28 + 66 – 6
= 88
24. [(-56) ÷ 8] × (-3) + 23 × 2 – 2
= [(-7)] × (-3) + 46 – 2
= 21 + 46 – 2
= 65
25. [(-66) ÷ 6] × (-5) + 24 × 1 – 8
= [(-11)] × (-5) + 24 – 8
= 55 + 24 – 8
= 71
These are the solutions for all 25 questions. Let me know if you need anything else!
Here are the solutions for the 25 questions provided:
1. 20 – [30% of (18 × 12 ÷ 36 + 15 × 20 ÷ 10)]
= 20 – [0.3 × (6 + 30)]
= 20 – [0.3 × 36]
= 20 – 10.8
= 9.2
2. 25 – [40% of (16 × 8 ÷ 32 + 9 × 24 ÷ 6)]
= 25 – [0.4 × (4 + 36)]
= 25 – [0.4 × 40]
= 25 – 16
= 9
3. 30 – [15% of (20 × 15 ÷ 5 + 10 × 30 ÷ 10)]
= 30 – [0.15 × (60 + 30)]
= 30 – [0.15 × 90]
= 30 – 13.5
= 16.5
4. 35 – [50% of (12 × 5 ÷ 15 + 8 × 10 ÷ 2)]
= 35 – [0.5 × (4 + 40)]
= 35 – [0.5 × 44]
= 35 – 22
= 13
5. 40 – [20% of (14 × 14 ÷ 7 + 6 × 12 ÷ 3)]
= 40 – [0.2 × (28 + 24)]
= 40 – [0.2 × 52]
= 40 – 10.4
= 29.6
6. 45 – [25% of (22 × 10 ÷ 11 + 8 × 15 ÷ 5)]
= 45 – [0.25 × (20 + 24)]
= 45 – [0.25 × 44]
= 45 – 11
= 34
7. 50 – [10% of (30 × 10 ÷ 5 + 12 × 12 ÷ 4)]
= 50 – [0.1 × (60 + 36)]
= 50 – [0.1 × 96]
= 50 – 9.6
= 40.4
8. 55 – [35% of (28 × 4 ÷ 14 + 15 × 10 ÷ 5)]
= 55 – [0.35 × (8 + 30)]
= 55 – [0.35 × 38]
= 55 – 13.3
= 41.7
9. 60 – [45% of (36 × 3 ÷ 9 + 10 × 20 ÷ 10)]
= 60 – [0.45 × (12 + 20)]
= 60 – [0.45 × 32]
= 60 – 14.4
= 45.6
10. 65 – [5% of (50 × 2 ÷ 5 + 12 × 6 ÷ 2)]
= 65 – [0.05 × (20 + 36)]
= 65 – [0.05 × 56]
= 65 – 2.8
= 62.2
11. 70 – [60% of (10 × 30 ÷ 10 + 24 × 2 ÷ 6)]
= 70 – [0.6 × (30 + 8)]
= 70 – [0.6 × 38]
= 70 – 22.8
= 47.2
12. 75 – [55% of (42 × 6 ÷ 14 + 15 × 18 ÷ 9)]
= 75 – [0.55 × (18 + 30)]
= 75 – [0.55 × 48]
= 75 – 26.4
= 48.6
13. 80 – [20% of (32 × 8 ÷ 16 + 10 × 10 ÷ 5)]
= 80 – [0.2 × (16 + 20)]
= 80 – [0.2 × 36]
= 80 – 7.2
= 72.8
14. 85 – [10% of (48 × 4 ÷ 12 + 20 × 15 ÷ 5)]
= 85 – [0.1 × (16 + 60)]
= 85 – [0.1 × 76]
= 85 – 7.6
= 77.4
15. 90 – [15% of (20 × 40 ÷ 10 + 6 × 12 ÷ 3)]
= 90 – [0.15 × (80 + 24)]
= 90 – [0.15 × 104]
= 90 – 15.6
= 74.4
16. 95 – [50% of (18 × 10 ÷ 6 + 24 × 3 ÷ 4)]
= 95 – [0.5 × (30 + 18)]
= 95 – [0.5 × 48]
= 95 – 24
= 71
17. 100 – [25% of (14 × 7 ÷ 7 + 30 × 6 ÷ 15)]
= 100 – [0.25 × (14 + 12)]
= 100 – [0.25 × 26]
= 100 – 6.5
= 93.5
18. 105 – [30% of (16 × 9 ÷ 3 + 12 × 18 ÷ 6)]
= 105 – [0.3 × (48 + 36)]
= 105 – [0.3 × 84]
= 105 – 25.2
= 79.8
19. 110 – [40% of (28 × 5 ÷ 14 + 10 × 20 ÷ 5)]
= 110 – [0.4 × (10 + 40)]
= 110 – [0.4 × 50]
= 110 – 20
= 90
20. 115 – [35% of (30 × 12 ÷ 15 + 6 × 12 ÷ 3)]
= 115 – [0.35 × (24 + 24)]
= 115 – [0.35 × 48]
= 115 – 16.8
= 98.2
21. 120 – [5% of (24 × 3 ÷ 12 + 15 × 25 ÷ 5)]
= 120 – [0.05 × (6 + 75)]
= 120 – [0.05 × 81]
= 120 – 4.05
= 115.95
22. 125 – [15% of (50 × 2 ÷ 5 + 12 × 20 ÷ 4)]
= 125 – [0.15 × (20 + 60)]
= 125 – [0.15 × 80]
= 125 – 12
= 113
23. 130 – [10% of (80 × 2 ÷ 10 + 15 × 15 ÷ 5)]
= 130 – [0.1 × (16 + 45)]
= 130 – [0.1 × 61]
= 130 – 6.1
= 123.9
24. 135 – [20% of (90 × 1 ÷ 1 + 12 × 12 ÷ 3)]
= 135 – [0.2 × (90 + 48)]
= 135 – [0.2 × 138]
= 135 – 27.6
= 107.4
25. 140 – [30% of (60 × 2 ÷ 5 + 12 × 24 ÷ 6)]
= 140 – [0.3 × (24 + 48)]
= 140 – [0.3 × 72]
= 140 – 21.6
= 118.4
These are the solutions for all 25 questions. Let me know if you need anything else!
Here are the solutions for the 25 questions provided:
1. 2000 – [400 – {250 – (70 – 50 + 30)}]
= 2000 – [400 – {250 – (50)}]
= 2000 – [400 – 200]
= 2000 – 200
= 1800
2. 3000 – [600 – {450 – (100 – 20 + 10)}]
= 3000 – [600 – {450 – (90)}]
= 3000 – [600 – 360]
= 3000 – 240
= 2760
3. 1800 – [360 – {180 – (50 – 20 + 15)}]
= 1800 – [360 – {180 – (45)}]
= 1800 – [360 – 135]
= 1800 – 225
= 1575
4. 2200 – [440 – {320 – (80 – 30 + 20)}]
= 2200 – [440 – {320 – (70)}]
= 2200 – [440 – 250]
= 2200 – 190
= 2010
5. 1500 – [300 – {200 – (60 – 10 + 5)}]
= 1500 – [300 – {200 – (55)}]
= 1500 – [300 – 145]
= 1500 – 155
= 1345
6. 2700 – [540 – {360 – (120 – 40 + 30)}]
= 2700 – [540 – {360 – (50)}]
= 2700 – [540 – 310]
= 2700 – 230
= 2470
7. 3500 – [700 – {500 – (150 – 50 + 25)}]
= 3500 – [700 – {500 – (75)}]
= 3500 – [700 – 425]
= 3500 – 275
= 3225
8. 4000 – [800 – {600 – (200 – 100 + 50)}]
= 4000 – [800 – {600 – (150)}]
= 4000 – [800 – 450]
= 4000 – 350
= 3650
9. 2900 – [580 – {400 – (90 – 30 + 20)}]
= 2900 – [580 – {400 – (80)}]
= 2900 – [580 – 320]
= 2900 – 260
= 2640
10. 2400 – [480 – {360 – (120 – 40 + 30)}]
= 2400 – [480 – {360 – (50)}]
= 2400 – [480 – 310]
= 2400 – 170
= 2230
11. 3300 – [660 – {480 – (160 – 60 + 20)}]
= 3300 – [660 – {480 – (120)}]
= 3300 – [660 – 360]
= 3300 – 300
= 3000
12. 2100 – [420 – {310 – (70 – 20 + 15)}]
= 2100 – [420 – {310 – (65)}]
= 2100 – [420 – 245]
= 2100 – 175
= 1925
13. 1600 – [320 – {240 – (60 – 30 + 10)}]
= 1600 – [320 – {240 – (40)}]
= 1600 – [320 – 200]
= 1600 – 120
= 1480
14. 3800 – [760 – {520 – (180 – 50 + 20)}]
= 3800 – [760 – {520 – (150)}]
= 3800 – [760 – 370]
= 3800 – 390
= 3410
15. 4200 – [840 – {600 – (200 – 100 + 50)}]
= 4200 – [840 – {600 – (150)}]
= 4200 – [840 – 450]
= 4200 – 390
= 3810
16. 2500 – [500 – {400 – (90 – 20 + 10)}]
= 2500 – [500 – {400 – (80)}]
= 2500 – [500 – 320]
= 2500 – 180
= 2320
17. 2800 – [560 – {420 – (150 – 50 + 25)}]
= 2800 – [560 – {420 – (125)}]
= 2800 – [560 – 295]
= 2800 – 265
= 2535
18. 3300 – [660 – {460 – (160 – 70 + 30)}]
= 3300 – [660 – {460 – (120)}]
= 3300 – [660 – 340]
= 3300 – 320
= 2980
19. 3600 – [720 – {540 – (120 – 40 + 10)}]
= 3600 – [720 – {540 – (70)}]
= 3600 – [720 – 470]
= 3600 – 250
= 3350
20. 1900 – [380 – {270 – (80 – 20 + 10)}]
= 1900 – [380 – {270 – (70)}]
= 1900 – [380 – 200]
= 1900 – 180
= 1720
21. 4200 – [840 – {600 – (180 – 60 + 30)}]
= 4200 – [840 – {600 – (150)}]
= 4200 – [840 – 450]
= 4200 – 390
= 3810
22. 3700 – [740 – {550 – (130 – 40 + 20)}]
= 3700 – [740 – {550 – (110)}]
= 3700 – [740 – 440]
= 3700 – 300
= 3400
23. 4500 – [900 – {700 – (200 – 50 + 30)}]
= 4500 – [900 – {700 – (120)}]
= 4500 – [900 – 580]
= 4500 – 320
= 4180
24. 2300 – [460 – {350 – (90 – 20 + 15)}]
= 2300 – [460 – {350 – (65)}]
= 2300 – [460 – 285]
= 2300 – 175
= 2125
25. 3200 – [640 – {480 – (120 – 30 + 15)}]
= 3200 – [640 – {480 – (105)}]
= 3200 – [640 – 375]
= 3200 – 265
= 2935
These are the solutions for all 25 questions. Let me know if you need anything else!
Here are the solutions for the 25 questions provided:
1. 15 + 4(-3 × 2) – (24 ÷ 8)
= 15 + 4(-6) – 3
= 15 – 24 – 3
= -12
2. 10 + 5(-1 × 4) – (30 ÷ 6)
= 10 + 5(-4) – 5
= 10 – 20 – 5
= -15
3. 8 + 2(-5 × 3) – (36 ÷ 9)
= 8 + 2(-15) – 4
= 8 – 30 – 4
= -26
4. 20 + 6(-2 × 2) – (48 ÷ 12)
= 20 + 6(-4) – 4
= 20 – 24 – 4
= -8
5. 25 + 3(-4 × 1) – (18 ÷ 2)
= 25 + 3(-4) – 9
= 25 – 12 – 9
= 4
6. 30 + 7(-3 × 2) – (60 ÷ 15)
= 30 + 7(-6) – 4
= 30 – 42 – 4
= -16
7. 22 + 8(-1 × 5) – (40 ÷ 10)
= 22 + 8(-5) – 4
= 22 – 40 – 4
= -22
8. 18 + 5(-2 × 4) – (42 ÷ 6)
= 18 + 5(-8) – 7
= 18 – 40 – 7
= -29
9. 14 + 4(-3 × 2) – (28 ÷ 4)
= 14 + 4(-6) – 7
= 14 – 24 – 7
= -17
10. 19 + 6(-1 × 6) – (56 ÷ 8)
= 19 + 6(-6) – 7
= 19 – 36 – 7
= -24
11. 11 + 3(-4 × 2) – (32 ÷ 8)
= 11 + 3(-8) – 4
= 11 – 24 – 4
= -17
12. 17 + 5(-2 × 3) – (54 ÷ 9)
= 17 + 5(-6) – 6
= 17 – 30 – 6
= -19
13. 21 + 2(-5 × 4) – (12 ÷ 3)
= 21 + 2(-20) – 4
= 21 – 40 – 4
= -23
14. 16 + 4(-1 × 7) – (50 ÷ 10)
= 16 + 4(-7) – 5
= 16 – 28 – 5
= -17
15. 13 + 3(-3 × 2) – (45 ÷ 9)
= 13 + 3(-6) – 5
= 13 – 18 – 5
= -10
16. 29 + 6(-2 × 1) – (18 ÷ 3)
= 29 + 6(-2) – 6
= 29 – 12 – 6
= 11
17. 23 + 5(-4 × 2) – (30 ÷ 6)
= 23 + 5(-8) – 5
= 23 – 40 – 5
= -22
18. 12 + 7(-3 × 1) – (36 ÷ 12)
= 12 + 7(-3) – 3
= 12 – 21 – 3
= -12
19. 15 + 4(-2 × 5) – (60 ÷ 15)
= 15 + 4(-10) – 4
= 15 – 40 – 4
= -29
20. 27 + 2(-5 × 1) – (10 ÷ 2)
= 27 + 2(-5) – 5
= 27 – 10 – 5
= 12
21. 20 + 3(-4 × 3) – (90 ÷ 10)
= 20 + 3(-12) – 9
= 20 – 36 – 9
= -25
22. 28 + 6(-2 × 4) – (64 ÷ 16)
= 28 + 6(-8) – 4
= 28 – 48 – 4
= -24
23. 24 + 5(-3 × 2) – (50 ÷ 10)
= 24 + 5(-6) – 5
= 24 – 30 – 5
= -11
24. 30 + 3(-1 × 5) – (12 ÷ 4)
= 30 + 3(-5) – 3
= 30 – 15 – 3
= 12
25. 11 + 2(-4 × 3) – (72 ÷ 9)
= 11 + 2(-12) – 8
= 11 – 24 – 8
= -21
These are the solutions for all 25 questions. Let me know if you need anything else!
Here are the solutions for the 25 questions provided:
1. 30 ÷ (15 – 5 ÷ 1 × 3)
= 30 ÷ (15 – 15)
= 30 ÷ 0
= undefined
2. 42 ÷ (21 – 14 ÷ 2 × 1)
= 42 ÷ (21 – 7)
= 42 ÷ 14
= 3
3. 50 ÷ (25 – 10 ÷ 2 × 5)
= 50 ÷ (25 – 25)
= 50 ÷ 0
= undefined
4. 36 ÷ (18 – 6 ÷ 3 × 4)
= 36 ÷ (18 – 8)
= 36 ÷ 10
= 3.6
5. 48 ÷ (24 – 8 ÷ 4 × 3)
= 48 ÷ (24 – 6)
= 48 ÷ 18
= 2.67
6. 60 ÷ (30 – 15 ÷ 3 × 5)
= 60 ÷ (30 – 25)
= 60 ÷ 5
= 12
7. 72 ÷ (36 – 12 ÷ 2 × 6)
= 72 ÷ (36 – 36)
= 72 ÷ 0
= undefined
8. 84 ÷ (42 – 21 ÷ 7 × 3)
= 84 ÷ (42 – 9)
= 84 ÷ 33
= 2.55
9. 90 ÷ (45 – 9 ÷ 1 × 5)
= 90 ÷ (45 – 9)
= 90 ÷ 36
= 2.5
10. 100 ÷ (50 – 25 ÷ 5 × 4)
= 100 ÷ (50 – 20)
= 100 ÷ 30
= 3.33
11. 20 ÷ (10 – 2 ÷ 1 × 3)
= 20 ÷ (10 – 6)
= 20 ÷ 4
= 5
12. 28 ÷ (14 – 7 ÷ 1 × 2)
= 28 ÷ (14 – 14)
= 28 ÷ 0
= undefined
13. 16 ÷ (8 – 4 ÷ 2 × 1)
= 16 ÷ (8 – 2)
= 16 ÷ 6
= 2.67
14. 38 ÷ (19 – 3 ÷ 1 × 2)
= 38 ÷ (19 – 6)
= 38 ÷ 13
= 2.92
15. 22 ÷ (11 – 1 ÷ 1 × 4)
= 22 ÷ (11 – 4)
= 22 ÷ 7
= 3.14
16. 26 ÷ (13 – 6 ÷ 3 × 2)
= 26 ÷ (13 – 4)
= 26 ÷ 9
= 2.89
17. 34 ÷ (17 – 8 ÷ 4 × 3)
= 34 ÷ (17 – 6)
= 34 ÷ 11
= 3.09
18. 44 ÷ (22 – 11 ÷ 1 × 2)
= 44 ÷ (22 – 22)
= 44 ÷ 0
= undefined
19. 32 ÷ (16 – 4 ÷ 2 × 1)
= 32 ÷ (16 – 2)
= 32 ÷ 14
= 2.29
20. 46 ÷ (23 – 5 ÷ 1 × 3)
= 46 ÷ (23 – 15)
= 46 ÷ 8
= 5.75
21. 12 ÷ (6 – 3 ÷ 1 × 2)
= 12 ÷ (6 – 6)
= 12 ÷ 0
= undefined
22. 14 ÷ (7 – 2 ÷ 1 × 1)
= 14 ÷ (7 – 2)
= 14 ÷ 5
= 2.8
23. 10 ÷ (5 – 1 ÷ 1 × 4)
= 10 ÷ (5 – 4)
= 10 ÷ 1
= 10
24. 18 ÷ (9 – 3 ÷ 1 × 2)
= 18 ÷ (9 – 6)
= 18 ÷ 3
= 6
25. 52 ÷ (26 – 13 ÷ 1 × 1)
= 52 ÷ (26 – 13)
= 52 ÷ 13
= 4
Let me know if you need any further assistance!
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