Each question shows two number pairs written in the same style, for example: 5 (12) 7 followed by 9 (?) 6. The number in brackets is linked to the two outside numbers by a hidden rule. Work out the rule from the first pair, then apply exactly the same rule to the second pair to work out the missing number in brackets. Choose your answer from the five options given. There is only one correct answer to each question.
Worked example. 5 (15) 3
8 (?) 6
Work out the connection between the numbers in the first pair, then use the same connection to find the missing number in the second pair. Answer: 48. The number in brackets is the product of the two outside numbers: 5 x 3 = 15. Applying the same rule to the second pair: 8 x 6 = 48.
1
5 (12) 7 9 (?) 6
A) 3
B) 54
C) 1.5
D) 16
E) 15
(Total for Question 1 is 1 mark)
2
9 (5) 4 11 (?) 3
A) 8
B) 33
C) 7
D) 14
E) 3.7
(Total for Question 2 is 1 mark)
3
3 (12) 4 6 (?) 5
A) 11
B) 25
C) 1.2
D) 30
E) 1
(Total for Question 3 is 1 mark)
4
20 (5) 4 18 (?) 3
A) 21
B) 6
C) 9
D) 54
E) 15
(Total for Question 4 is 1 mark)
5
3 (16) 5 6 (?) 4
A) 10
B) 4
C) 20
D) 48
E) 16
(Total for Question 5 is 1 mark)
6
10 (18) 4 13 (?) 5
A) 54
B) 8
C) -24
D) 24
E) 16
(Total for Question 6 is 1 mark)
7
4 (8) 3 5 (?) 6
A) 6
B) 30
C) 25
D) 11
E) 24
(Total for Question 7 is 1 mark)
8
8 (6) 4 14 (?) 8
A) 3
B) 11
C) 56
D) 1.8
E) 22
(Total for Question 8 is 1 mark)
9
5 (22) 3 6 (?) 7
A) 36
B) 43
C) 1
D) 5
E) 29
(Total for Question 9 is 1 mark)
10
3 (11) 5 7 (?) 9
A) 16
B) 32
C) 23
D) 5
E) 25
(Total for Question 10 is 1 mark)
11
4 (12) 6 5 (?) 8
A) 6.5
B) 40
C) 80
D) 20
E) 1.5
(Total for Question 11 is 1 mark)
12
7 (9) 4 9 (?) 5
A) 8
B) 196
C) 16
D) 4
E) 56
(Total for Question 12 is 1 mark)
13
10 (14) 2 12 (?) 3
A) 30
B) 15
C) 3
D) 21
E) 33
(Total for Question 13 is 1 mark)
14
3 (20) 5 4 (?) 7
A) 32
B) 22
C) 56
D) 35
E) 28
(Total for Question 14 is 1 mark)
15
5 (7) 3 6 (?) 4
A) 34
B) -14
C) 14
D) 20
E) 24
(Total for Question 15 is 1 mark)
16
8 (55) 3 9 (?) 4
A) 25
B) -65
C) 36
D) 65
E) 18
(Total for Question 16 is 1 mark)
17
4 (7) 5 6 (?) 8
A) -6
B) 10
C) 18
D) -2
E) 26
(Total for Question 17 is 1 mark)
18
7 (6) 3 9 (?) 5
A) 18
B) 4
C) 10
D) 56
E) 14
(Total for Question 18 is 1 mark)
19
8 (8) 4 6 (?) 3
A) 18
B) 0.17
C) 2
D) 6
E) 3
(Total for Question 19 is 1 mark)
20
5 (13) 4 7 (?) 6
A) 25
B) 19
C) 26
D) 13
E) 21
(Total for Question 20 is 1 mark)
21
4 (22) 2 5 (?) 3
A) 19
B) 16
C) 18
D) 37
E) 40
(Total for Question 21 is 1 mark)
22
3 (25) 4 5 (?) 6
A) 31
B) 121
C) -11
D) 61
E) 50
(Total for Question 22 is 1 mark)
23
6 (4) 4 9 (?) 5
A) 62
B) 17
C) 76
D) -17
E) 31
(Total for Question 23 is 1 mark)
24
4 (25) 6 8 (?) 12
A) 104
B) 20
C) 100
D) 10
E) 200
(Total for Question 24 is 1 mark)
25
7 (43) 3 9 (?) 4
A) 74
B) 29
C) 69
D) 65
E) -61
(Total for Question 25 is 1 mark)
Mark scheme · EP.V18 Number Connections
Question 1
B1 E) 15 - rule is addition: 5 + 7 = 12, so 9 + 6 = 15
Answer: 15
Question 2
B1 A) 8 - rule is subtraction: 9 - 4 = 5, so 11 - 3 = 8
Answer: 8
Question 3
B1 D) 30 - rule is multiplication: 3 x 4 = 12, so 6 x 5 = 30
Answer: 30
Question 4
B1 B) 6 - rule is division: 20 / 4 = 5, so 18 / 3 = 6
Answer: 6
Question 5
B1 C) 20 - rule is (add the two numbers, then double): (3 + 5) x 2 = 16, so (6 + 4) x 2 = 20
Answer: 20
Question 6
B1 D) 24 - rule is (subtract, then multiply by 3): (10 - 4) x 3 = 18, so (13 - 5) x 3 = 24
Answer: 24
Question 7
B1 C) 25 - rule is (multiply, then subtract the first number): (4 x 3) - 4 = 8, so (5 x 6) - 5 = 25
Answer: 25
Question 8
B1 B) 11 - rule is the mean (add, then halve): (8 + 4) / 2 = 6, so (14 + 8) / 2 = 11
Answer: 11
Question 9
B1 E) 29 - rule is (square the first number, subtract the second): 52 - 3 = 22, so 62 - 7 = 29
Answer: 29
Question 10
B1 C) 23 - rule is (double the first number, then add the second): (3 x 2) + 5 = 11, so (7 x 2) + 9 = 23
Answer: 23
Question 11
B1 D) 20 - rule is (multiply, then halve): (4 x 6) / 2 = 12, so (5 x 8) / 2 = 20
Answer: 20
Question 12
B1 C) 16 - rule is (subtract, then square the result): (7 - 4)2 = 9, so (9 - 5)2 = 16
Answer: 16
Question 13
B1 B) 15 - rule is (double the first number, subtract three times the second): (2 x 10) - (3 x 2) = 14, so (2 x 12) - (3 x 3) = 15
Answer: 15
Question 14
B1 D) 35 - rule is (multiply, then add the second number): (3 x 5) + 5 = 20, so (4 x 7) + 7 = 35
Answer: 35
Question 15
B1 C) 14 - rule is (multiply, then subtract the sum of the two numbers): (5 x 3) - (5 + 3) = 7, so (6 x 4) - (6 + 4) = 14
Answer: 14
Question 16
B1 D) 65 - rule is (add the numbers, multiply by their difference): (8 + 3) x (8 - 3) = 55, so (9 + 4) x (9 - 4) = 65
Answer: 65
Question 17
B1 B) 10 - rule is (multiply the first number by 3, subtract the second): (3 x 4) - 5 = 7, so (3 x 6) - 8 = 10
Answer: 10
Question 18
B1 C) 10 - rule is (add the numbers, then subtract their difference): (7 + 3) - (7 - 3) = 6, so (9 + 5) - (9 - 5) = 10
Answer: 10
Question 19
B1 D) 6 - rule is (multiply, then divide by the difference): (8 x 4) / (8 - 4) = 8, so (6 x 3) / (6 - 3) = 6
Answer: 6
Question 20
B1 B) 19 - rule is (double the first, add the second, then subtract their difference): (2 x 5 + 4) - (5 - 4) = 13, so (2 x 7 + 6) - (7 - 6) = 19
Answer: 19
Question 21
B1 D) 37 - rule is (add the numbers, multiply by the first, subtract the second): (4 + 2) x 4 - 2 = 22, so (5 + 3) x 5 - 3 = 37
Answer: 37
Question 22
B1 D) 61 - rule is (square each number, then add): 32 + 42 = 25, so 52 + 62 = 61
Answer: 61
Question 23
B1 B) 17 - rule is (multiply, subtract twice the sum): (6 x 4) - (6 + 4) x 2 = 4, so (9 x 5) - (9 + 5) x 2 = 17
Answer: 17
Question 24
B1 C) 100 - rule is (find the mean, then square it): ((4 + 6) / 2)2 = 25, so ((8 + 12) / 2)2 = 100
Answer: 100
Question 25
B1 C) 69 - rule is (subtract, multiply by the sum, then add the second number back): (7 - 3) x (7 + 3) + 3 = 43, so (9 - 4) x (9 + 4) + 4 = 69