How to Pass Numerical Reasoning (7 page)

Long multiplication: practice drill 1

Q1
288

Q2
299

Q3
253

Q4
361

Q5
624

Q6
9,159

Q7
15,390

Q8
10,074

Q9
67,375

Q10
4,174,236

Long multiplication: practice drill 2

Q1
162

Q2
209

Q3
252

Q4
437

Q5
494

Q6
3,587

Q7
4,121

Q8
4,576

Q9
60,528

Q10
73,225

Long division practice: drill 1

Q1
9

Q2
7

Q3
9

Q4
13

Q5
12

Q6
112

Q7
85

Q8
12

Q9
112

Q10
32

Long division practice: drill 2

Q1
23

Q2
23

Q3
113

Q4
45

Q5
126

Q6
56

Q7
46

Q8
26

Q9
85

Q10
133

Prime numbers: practice drill

Q1
210

Q2
100

Q3
An infinite number

Q4
25

Q5
2

Q6
11, 31, 41, 61, 71

Q7
–1

Q8
5

Q9
1

Q10
569

Multiples: practice drill

Drill 1

Drill 2

Drill 3

Drill 4

1

2,3,4,6,9

2

2,3,6

2

2

2

Prime

3,9

2,3,4,6 [8]

3

2,3,4,6

2,3,4,6

2,3,4,6,9 [8]

2,4 [8]

4

2,4,5

2,4

2,4

2,4

5

5 [7]

Prime

2,3,6 [7]

2,3,6

6

Prime

2,4 [8]

Prime

2,3,4,6

7

2,3,6

3,5

3,5,9

2,4 [8]

8

2,5

2,3,4,6 [8]

2,4

Prime

9

2,4 [8]

2,4 [8]

2

5

10

2

2,4 [8]

3

5

Where the integer is also a multiple of 7 or 8, this is indicated in the answer table with [7] or [8].

Lowest common multiple: practice drill 1

Q1
8 and 6

Answer
= 24

Prime factorization = 2 × 2 × 2 × 3

Q2
12 and 9

Answer
= 36

Prime factorization = 2 × 2 × 3 × 3

Q3
3 and 5

Answer
= 15

Prime factorization = (1 × ) 3 × 5

Q4
12 and 15

Answer
= 60

Prime factorization = 2 × 2 × 3 × 5

Q5
8 and 14

Answer
= 56

Prime factorization = 2 × 2 × 2 × 7

Q6
9 and 18

Answer
= 18

Prime factorization = 2 × 3 × 3

Q7
4 and 7

Answer
= 28

4 = 2 × 2

7 = 1 × 7

Prime factorization = (1 ×) 2 × 2 × 7

Q8
13 and 7

Answer
= 91

Prime factorization = (1 ×) 13 × 7

Q9
12 and 26

Answer
= 156

Prime factorization = 2 × 2 × 3 × 13

Q10
7 and 15

Answer
= 105

7 = 1 × 7

15 = 3 × 5

Prime factorization = (1 ×) 3 × 5 × 7

Lowest common multiple: practice drill 2

Q1
10

Q2
20

Q3
45

Q4
30

Q5
42

Q6
30

Q7
42

Q8
168

Q9
66

Q10
84

Multiplying large numbers: practice drill

Q1

1 million, 8 hundred thousand

(1,800,000)

Q2

6 trillion

(6,000,000,000,000)

Q3

3 thousand trillion

(3,000,000,000,000,000)

Q4

48 billion

(48,000,000,000)

Q5

48 thousand trillion

(48,000,000,000,000,000)

Q6

36 billion

(36,000,000,000)

Q7

26 billion

(26,000,000,000)

Q8

6 billion, 6 hundred million

(6,600,000,000)

Q9

336 billion

(336,000,000,000)

Q10

84 trillion

(84,000,000,000,000)

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