Each question shows a number sentence with a missing value marked [ ]. Work out the value of the left-hand side and the right-hand side, then find the number that makes both sides balance (equal). Where a side has more than one step, remember the order of operations: brackets first, then multiplication and division, then addition and subtraction. Choose the option, A) to E), that gives the correct missing number. There is only one correct answer for each question.
Worked example. 8 + 7 = 9 + [ ] Answer: 6. Work out the left-hand side first: 8 + 7 = 15. The right-hand side must also equal 15, so 9 + [ ] = 15, which means [ ] = 15 - 9 = 6.
1
5 + 6 = 8 + [ ]
A) 3
B) 19
C) 2
D) 4
E) 14
(Total for Question 1 is 1 mark)
2
9 - 3 = 4 + [ ]
A) 10
B) 2
C) 3
D) 1
E) 13
(Total for Question 2 is 1 mark)
3
7 + 8 = 10 + [ ]
A) 25
B) 6
C) 5
D) 3
E) 18
(Total for Question 3 is 1 mark)
4
12 - 5 = 3 + [ ]
A) 10
B) 5
C) 9
D) 4
E) 17
(Total for Question 4 is 1 mark)
5
6 x 3 = 9 + [ ]
A) 27
B) 8
C) 2
D) 12
E) 9
(Total for Question 5 is 1 mark)
6
(4 + 5) x 2 = 30 - [ ]
A) 12
B) 16
C) 21
D) 13
E) 48
(Total for Question 6 is 1 mark)
7
3 x (6 - 2) = 8 + [ ]
A) 20
B) 4
C) 8
D) 5
E) 10
(Total for Question 7 is 1 mark)
8
40 / 5 = 2 x [ ]
A) 16
B) 20
C) 4
D) 5
E) 2
(Total for Question 8 is 1 mark)
9
(9 - 4) x 3 = [ ] + 10
A) 25
B) 13
C) 6
D) 5
E) 2
(Total for Question 9 is 1 mark)
10
6 x 6 = 4 x [ ]
A) 144
B) 6
C) 10
D) 3
E) 9
(Total for Question 10 is 1 mark)
11
50 - 15 = 5 x [ ]
A) 7
B) 30
C) 9
D) 8
E) 10
(Total for Question 11 is 1 mark)
12
(2 + 3) x 4 = [ ] x 5
A) 100
B) 4
C) 1
D) 3
E) 5
(Total for Question 12 is 1 mark)
13
63 / 7 = [ ] + 4
A) 13
B) 4
C) 5
D) 6
E) 3
(Total for Question 13 is 1 mark)
14
8 x 3 - 6 = [ ] x 3
A) 8
B) 54
C) 7
D) 6
E) 3
(Total for Question 14 is 1 mark)
15
(12 + 8) / 4 = [ ] - 1
A) 4
B) 15
C) 7
D) 21
E) 6
(Total for Question 15 is 1 mark)
16
9 x 4 - 12 = [ ] x 6
A) 4
B) 6
C) 144
D) 5
E) 2
(Total for Question 16 is 1 mark)
17
(7 + 3) x (6 - 2) = [ ] x 8
A) 320
B) 5
C) 10
D) 32
E) 6
(Total for Question 17 is 1 mark)
18
92 - 21 = [ ] x 6
A) 360
B) 11
C) 10
D) 20
E) 54
(Total for Question 18 is 1 mark)
19
(15 - 6) x (4 + 1) = 9 x [ ]
A) 405
B) 6
C) 9
D) 5
E) 36
(Total for Question 19 is 1 mark)
20
6 x 7 - 2 x 5 = [ ] x 8
A) 25
B) 256
C) 5
D) 16
E) 4
(Total for Question 20 is 1 mark)
21
(5 + 4)2 - 61 = [ ] x 4
A) 5
B) 80
C) 6
D) 10
E) 16
(Total for Question 21 is 1 mark)
22
100 / (2 x 5) = [ ] x 2
A) 20
B) 5
C) 125
D) 6
E) 2
(Total for Question 22 is 1 mark)
23
(8 x 5) - (3 x 6) = [ ] x 11
A) 242
B) 3
C) 2
D) 11
E) 1
(Total for Question 23 is 1 mark)
24
(3/4) x 20 = [ ] + 5
A) 20
B) 0
C) 11
D) 10
E) 15
(Total for Question 24 is 1 mark)
Mark scheme · EP.V17 Missing Number (Balance the Equation)
Question 1
B1 A) 3 - 5 + 6 = 11, so 11 - 8 = 3
Answer: 3
Question 2
B1 B) 2 - 9 - 3 = 6, so 6 - 4 = 2
Answer: 2
Question 3
B1 C) 5 - 7 + 8 = 15, so 15 - 10 = 5
Answer: 5
Question 4
B1 D) 4 - 12 - 5 = 7, so 7 - 3 = 4
Answer: 4
Question 5
B1 E) 9 - 6 x 3 = 18, so 18 - 9 = 9
Answer: 9
Question 6
B1 A) 12 - (4 + 5) x 2 = 18, so 30 - 18 = 12
Answer: 12
Question 7
B1 B) 4 - 3 x (6 - 2) = 12, so 12 - 8 = 4
Answer: 4
Question 8
B1 C) 4 - 40 / 5 = 8, so 8 / 2 = 4
Answer: 4
Question 9
B1 D) 5 - (9 - 4) x 3 = 15, so 15 - 10 = 5
Answer: 5
Question 10
B1 E) 9 - 6 x 6 = 36, so 36 / 4 = 9
Answer: 9
Question 11
B1 A) 7 - 50 - 15 = 35, so 35 / 5 = 7
Answer: 7
Question 12
B1 B) 4 - (2 + 3) x 4 = 20, so 20 / 5 = 4
Answer: 4
Question 13
B1 C) 5 - 63 / 7 = 9, so 9 - 4 = 5
Answer: 5
Question 14
B1 D) 6 - 8 x 3 - 6 = 18, so 18 / 3 = 6
Answer: 6
Question 15
B1 E) 6 - (12 + 8) / 4 = 5, so 5 + 1 = 6
Answer: 6
Question 16
B1 A) 4 - 9 x 4 - 12 = 24, so 24 / 6 = 4
Answer: 4
Question 17
B1 B) 5 - (7 + 3) x (6 - 2) = 40, so 40 / 8 = 5
Answer: 5
Question 18
B1 C) 10 - 92 = 81, 81 - 21 = 60, so 60 / 6 = 10
Answer: 10
Question 19
B1 D) 5 - (15 - 6) x (4 + 1) = 45, so 45 / 9 = 5
Answer: 5
Question 20
B1 E) 4 - 6 x 7 = 42, 2 x 5 = 10, 42 - 10 = 32, so 32 / 8 = 4
Answer: 4
Question 21
B1 A) 5 - (5 + 4)2 = 81, 81 - 61 = 20, so 20 / 4 = 5