Each question shows a number sentence with a value missing, marked [ ]. Calculate the value of each side of the equation separately, then work out the number that must go in the gap so that both sides balance (are equal). If a side contains brackets or a power, apply the correct order of operations: brackets first, then powers, then multiplication and division, then addition and subtraction. Choose the option, A) to E), that correctly completes the equation. Exactly one option makes both sides equal.
Worked example. 12 - 4 = 5 + [ ] Answer: 3. Evaluate the left-hand side first: 12 - 4 = 8. The right-hand side must also equal 8, so 5 + [ ] = 8, which means [ ] = 8 - 5 = 3.
1
4 + 9 = 7 + [ ]
A) 6
B) 20
C) 5
D) 7
E) 16
(Total for Question 1 is 1 mark)
2
11 - 4 = 3 + [ ]
A) 10
B) 4
C) 5
D) 3
E) 14
(Total for Question 2 is 1 mark)
3
6 + 9 = 8 + [ ]
A) 7
B) 23
C) 6
D) 8
E) 17
(Total for Question 3 is 1 mark)
4
14 - 6 = 2 + [ ]
A) 10
B) 7
C) 12
D) 6
E) 20
(Total for Question 4 is 1 mark)
5
8 x 4 = 15 + [ ]
A) 47
B) 16
C) 4
D) 28
E) 17
(Total for Question 5 is 1 mark)
6
(6 + 3) x 3 = 40 - [ ]
A) 25
B) 13
C) 14
D) 31
E) 67
(Total for Question 6 is 1 mark)
7
4 x (9 - 3) = 10 + [ ]
A) 34
B) 23
C) 14
D) 13
E) 26
(Total for Question 7 is 1 mark)
8
54 / 6 = 3 x [ ]
A) 27
B) 18
C) 3
D) 4
E) 1
(Total for Question 8 is 1 mark)
9
(11 - 5) x 4 = [ ] + 14
A) 38
B) 25
C) 11
D) 10
E) 6
(Total for Question 9 is 1 mark)
10
7 x 8 = 4 x [ ]
A) 224
B) 8
C) 15
D) 14
E) 7
(Total for Question 10 is 1 mark)
11
60 - 24 = 6 x [ ]
A) 30
B) 7
C) 6
D) 5
E) 10
(Total for Question 11 is 1 mark)
12
(3 + 4) x 5 = [ ] x 7
A) 245
B) 1
C) 6
D) 5
E) 7
(Total for Question 12 is 1 mark)
13
72 / 8 = [ ] + 3
A) 12
B) 5
C) 7
D) 6
E) 27
(Total for Question 13 is 1 mark)
14
5 x 4 + 8 = [ ] x 4
A) 5
B) 112
C) 8
D) 7
E) 14
(Total for Question 14 is 1 mark)
15
(15 + 5) / 5 = [ ] - 2
A) 2
B) 18
C) 5
D) 22
E) 6
(Total for Question 15 is 1 mark)
16
7 x 5 - 15 = [ ] x 5
A) 7
B) 100
C) 5
D) 4
E) 10
(Total for Question 16 is 1 mark)
17
(6 + 4) x (8 - 3) = [ ] x 10
A) 500
B) 5
C) 10
D) 40
E) 6
(Total for Question 17 is 1 mark)
18
82 - 19 = [ ] x 5
A) 225
B) 10
C) 9
D) 5
E) 40
(Total for Question 18 is 1 mark)
19
(14 - 6) x (2 + 4) = 4 x [ ]
A) 192
B) 8
C) 44
D) 12
E) 13
(Total for Question 19 is 1 mark)
20
8 x 6 - 3 x 4 = [ ] x 6
A) 30
B) 216
C) 7
D) 12
E) 6
(Total for Question 20 is 1 mark)
21
(6 + 3)2 - 55 = [ ] x 2
A) 13
B) 52
C) 14
D) 24
E) 28
(Total for Question 21 is 1 mark)
22
84 / (2 x 7) = [ ] x 3
A) 18
B) 98
C) 3
D) 2
E) 28
(Total for Question 22 is 1 mark)
23
(9 x 4) - (2 x 3) = [ ] x 10
A) 300
B) 4
C) 3
D) 20
E) 2
(Total for Question 23 is 1 mark)
24
(2/5) x 25 = [ ] + 4
A) 14
B) 1
C) 7
D) 6
E) 21
(Total for Question 24 is 1 mark)
Mark scheme · EP.V17B Missing Number (Balance the Equation): Practice Set 2
Question 1
B1 A) 6 - 4 + 9 = 13, so 13 - 7 = 6
Answer: 6
Question 2
B1 B) 4 - 11 - 4 = 7, so 7 - 3 = 4
Answer: 4
Question 3
B1 A) 7 - 6 + 9 = 15, so 15 - 8 = 7
Answer: 7
Question 4
B1 D) 6 - 14 - 6 = 8, so 8 - 2 = 6
Answer: 6
Question 5
B1 E) 17 - 8 x 4 = 32, so 32 - 15 = 17
Answer: 17
Question 6
B1 B) 13 - (6 + 3) x 3 = 27, so 40 - 27 = 13
Answer: 13
Question 7
B1 C) 14 - 4 x (9 - 3) = 24, so 24 - 10 = 14
Answer: 14
Question 8
B1 C) 3 - 54 / 6 = 9, so 9 / 3 = 3
Answer: 3
Question 9
B1 D) 10 - (11 - 5) x 4 = 24, so 24 - 14 = 10
Answer: 10
Question 10
B1 D) 14 - 7 x 8 = 56, so 56 / 4 = 14
Answer: 14
Question 11
B1 C) 6 - 60 - 24 = 36, so 36 / 6 = 6
Answer: 6
Question 12
B1 D) 5 - (3 + 4) x 5 = 35, so 35 / 7 = 5
Answer: 5
Question 13
B1 D) 6 - 72 / 8 = 9, so 9 - 3 = 6
Answer: 6
Question 14
B1 D) 7 - 5 x 4 + 8 = 28, so 28 / 4 = 7
Answer: 7
Question 15
B1 E) 6 - (15 + 5) / 5 = 4, so 4 + 2 = 6
Answer: 6
Question 16
B1 D) 4 - 7 x 5 - 15 = 20, so 20 / 5 = 4
Answer: 4
Question 17
B1 B) 5 - (6 + 4) x (8 - 3) = 50, so 50 / 10 = 5
Answer: 5
Question 18
B1 C) 9 - 82 = 64, 64 - 19 = 45, so 45 / 5 = 9
Answer: 9
Question 19
B1 D) 12 - (14 - 6) x (2 + 4) = 48, so 48 / 4 = 12
Answer: 12
Question 20
B1 E) 6 - 8 x 6 = 48, 3 x 4 = 12, 48 - 12 = 36, so 36 / 6 = 6
Answer: 6
Question 21
B1 A) 13 - (6 + 3)2 = 81, 81 - 55 = 26, so 26 / 2 = 13