How to Pass Numerical Reasoning (7 page)
Read How to Pass Numerical Reasoning Online
Authors: Heidi Smith
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) |
