Lantern Steps Quantitative Reasoning Solutions Book 5
Lantern Steps Quantitative Reasoning Exercise 1 ; Page 1
Using Example 2
To Get 27300
650 × 420 = 273000
To Get 650
27300 ÷ 420 = 650
To Get 420
273000 ÷ 650 = 420
Lantern Steps Quantitative Reasoning Exercise 2 ; Page 2
Using Example 3
The knowledge of Roman Numerals will guide students through this.
To Get XIII which means 13
IX means 9
IV means 4
Hence, 9+4= 13
In Roman figure or numerals, it’s XIII
To Get IX which means 9
XIII – IV
13 – 4 = 9
To Get IV which means 4
XIII – IX
13. – 9 = 4 is IV
Lantern Steps Quantitative Reasoning Exercise 3 ; Page 4
Using Example 1
To Get 10
6 × 5 = 30
30 ÷ 3 = 10
To Get 6
10 × 3 =30
30 ÷ 5 = 6
To Get 5
10 × 3 =30
30 ÷ 6 = 5
To Get 3
6× 5= 30
30 ÷ 10 = 3
Lantern Steps Quantitative Reasoning Exercise 4 ; Page 5
Think of equivalent numbers.
Subtract the numbers on the left column.
Add the numbers on the right column.
Using Example 3
89- 64 = 25
17 + 8 = 25
To Get 17
89- 64 = 25
25 – 8 =17
To Get 8
89- 64 = 25
25 – 17= 8
To Get 89
17 + 8 = 25
64 + 25= 89
To Get 64
17 + 8 = 25
89 – 25 = 64
Lantern Steps Quantitative Reasoning Exercise 5 (C Example); Page 6
For first Example
To Get 22
7 + 4 = 11
11 × 2 = 22
To Get 2
4 + 7 = 11
22 ÷ 11 = 2
To Get 7
22 ÷ 2 =11
11 – 4 = 7
To Get 4
22 ÷ 2 = 11
11 – 7 = 4
For The Second Example
To Get 7
25 – 4 =21
21 ÷ 3 =7
To Get 3
25-4 = 21
21 ÷ 3 = 7
To Get 25
7 × 3=21
21 + 4 = 25
To Get 4
7 × 3 = 21
25 – 21 = 4
Note: The first Example is the direct opposite of the second example
Lantern Steps Quantitative Reasoning Exercise 6 (A.example); Page 9
Mathematical operations to apply are;
- Multiplication
- Division
To Get 30000
600 × 50= 30000
To Get 600
30000÷50= 600
To Get 50
30000÷600=50
To Get 15000
30000÷2=15000
Lantern Steps Quantitative Reasoning Exercise 6 (B.example); Page 10
Using Example 1
To Get 24
2+2+1+3=8
8×S3=24
To Get 2(Up)
2+1+3=6
24÷3=8
8-6=2
To Get 2(Down)
2+1+3=6
24÷3=8
8-6=2
To Get 3
2+2+1=5
24÷3=8
8-5=3
To Get 1
2+2+3=7
24÷3=8
8-7=1
Using Example 2
To Get 39
0+4+3+6=13
13×3(The 3 with S)= 39
To Get 0
4+3+6=13
39÷3(the one attached to S)=13
13-13= 0
To Get 4
0+3+6=9
39÷3(the one attached to S)=13
13-9=4
To Get 3
0+4+6=10
39÷3(the one attached to S)=13
13-10=3
To Get 6
0+4+3=7
39÷3(the one attached to S)=13
13-7= 6
Lantern Steps Quantitative Reasoning Exercise 6 (C.example); Page 10
In this exercise, consider equivalent numbers.
Using Example 1
12+4=16
2×8=16
To get 12
2×8=16
16-4=12
To get 4
2×8=16
16-12=4
To Get 8
12+4=16
16÷2=8
To Get 2
12+4=16
16÷8=2
Lantern Steps Quantitative Reasoning Exercise 7 (B.example); Page 13
Consider squares and its root in this exercise.
From first Example
To get 9
Multiply 3 into 2 places
3×3=9
To Get 2
3(the power of an unknown)=9
3*=9
Hence, 3*= 3²
Divide both sides by 3
*=2
To get 3
Let X be unknown
X²=9
Divide both side by X²
X²=9
X²=3²
Cancel the Power of 2 on both sides
X=3
From the Second Example
To get 64
Multiply 4 into places
4×4×4=64
To Get 3
4(the power of an unknown)=64
4*=64
Hence, 4*= 4³
Divide both sides by 4
*=3
To Get 4
Let X be unknown
X³=64
Divide both side by X³
X³=64
X³=4³
Cancel the Power of 3 on both sides
X=4
Lantern Steps Quantitative Reasoning Exercise 9 (A.example); Page 19
From Example 1
- (9v8v4)=21
9+8+4=21
- 10^6^4=0
(10-6-4)=0
- 6v3^4= 5
6+3-4 = 5
B. Example Page 19
- (20 d 4)= 5
20÷4= 5
- (16b3)= 13
16-3= 13
- 12b 3d 9= 11²/³
12- 3÷ 9= 11²/³
3÷9= ⅓
12- ⅓= 11²/³
Lantern Steps Quantitative Reasoning Exercise 10 (A.example); Page 21
Using Example 1
To get 24
17+7=24
Or. 8×3= 24
To get 17
24-7=17
To get 7
24-17=7
Or 42÷6= 7
To get 8
24÷3=8
To Get 3
24÷8=3
To get 42
6×7=42
To Get 6
42÷7=6
Lantern Steps book 4: Quantitative Reasoning Examples for Primary School
Exercise 10: B.Example Page 22
Using Example 2
To Get 64
8²= 8×8=64
To Get 8
√64=8.
Or 16×0.5= 8
To Get 0.5
8÷16= ½ or 0.5
To Get 16
8÷0.5= 16
Lantern Steps; Exercise 11 page 23
- 9+2=11
On the clock locate 9 and count two steps forward starting with 10.
- 7-6=1
On the clock, locate 7, count six backwards starting with 6.
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Please I need solution to exercise 13 example B on page 28. Steps to quantitative reasoning 5
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