NSS Mathematics in Action Solutions (2nd Edition) provides comprehensive answers and explanations for various mathematical problems and exercises. This resource is ideal for students preparing for examinations, offering detailed solutions to enhance understanding of key concepts in mathematics. Topics covered include direct and inverse variations, ratios, and problem-solving strategies across multiple exercises. Each solution is designed to reinforce learning and support students in mastering mathematical principles. This guide is essential for learners seeking to improve their performance in mathematics.

Key Points

  • Includes full solutions for exercises from NSS Mathematics in Action 2nd Edition
  • Covers direct and inverse variations with detailed explanations
  • Provides step-by-step solutions to enhance understanding of ratios
  • Features practical problem-solving strategies for various mathematical concepts
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9 Variations
9 Variations
Review Exercise 9 (p. 9.5)
1. The required rate
2. The required rate
3. The required rate
4.
18 : 36
5. 500 g : 15 kg
6. 300 seconds : 5 minutes 20 seconds
7. ∵
∴
∴
8. ∵
∴
9. For the 3 kg pack of washing powder:
Price per kg
107
NSS Mathematics in Action (2nd Edition) 4B Full Solutions
For the 2 kg pack of washing powder:
Price per kg
∴ The 2 kg pack of washing powder is more economical.
10. The required ratio
11. Fraction of the number of female members
Let x be the total number of members in the music club.
∴ There are 104 members in the music club.
12.
13.
14.
From (2), we have
By substituting (3) into (1), we have
By substituting into (3), we have
∴ The solution is , .
15.
:
By substituting into (1), we have
∴ The solution is , .
16. Let x cm be the length of the screen of the TV.
Then the width of the screen of the TV is .
When , .
∴ The length and width of the screen of the TV are
57.6 cm and 32.4 cm respectively.
Activity
Activity 9.1 (p. 9.6)
1. (a) increase
(b)
Number of tickets
bought (x)
1 2 3 4 5
…
Amount of money
required ($y)
80 160 240 320 400
…
80 80 80 80 80
…
2. (a) no
(b)
3. (a)
(b) (i) a straight line
(ii) yes
Activity 9.2 (p. 9.19)
1. (a) decrease
(b)
Number of 1 2 3 4 5
…
108
9 Variations
people (x)
Amount of
soft drink
each person
gets
(y mL)
1500 750 500 375 300
…
1500
150
0
150
0
150
0
1500
…
2. (a) No. The value of remains unchanged when the
values of x and y change.
(b)
3. (a)
(b) (i) The graph of y against x is a curve.
(ii) No, the graph does not pass through the origin.
Activity 9.3 (p. 9.42)
1. E = 5000 + 2000n
2. (a) (i)
(ii)
(b)
(c) (i) No. Let x
0
, y
0
and S
0
be the original values of x, y
and S respectively. New value of S
(ii) No, Let x
0
, y
0
and S
0
be the original values of x, y
and S respectively. New value of S
Maths Dialogue
Maths Dialogue (p. 9.14)
No. For any two quantities x and y in direct variation, the graph
of y against x must be a straight line passing through the origin.
In case 3, y and x are in direct variation.
Classwork
Classwork (p. 9.8)
(a) y = kx
2
(b)
(c) r = kw
3
(d) W = kL
(e) P = kr
2
Classwork (p. 9.21)
(a) (b)
(c) (d)
3
w
k
C
(e)
Classwork (p. 9.33)
(a) X = kyw
2
(b)
(c) (d)
(e)
Classwork (p. 9.44)
(a) P = (b)
(c) (d)
(e)
Quick Practice
Quick Practice 9.1 (p. 9.9)
(a) ∵ p varies directly as q
2
.
∴ p = kq
2
, where k 0
By substituting and into the equation, we
have
∴
(b) When q = 7,
p = 7(7)
2
=
Quick Practice 9.2 (p. 9.10)
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End of Document
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FAQs

What types of mathematical concepts are covered in NSS Mathematics in Action Solutions?
NSS Mathematics in Action Solutions covers a wide range of mathematical concepts, including direct and inverse variations, ratios, and problem-solving techniques. Each section provides detailed explanations and step-by-step solutions to help students grasp essential principles. The exercises are designed to reinforce learning and prepare students for examinations, making this resource invaluable for mastering mathematics.

How does the NSS Mathematics in Action Solutions assist in understanding direct variation?
The NSS Mathematics in Action Solutions provides clear explanations of direct variation, including the mathematical relationships involved. It outlines the formula for direct variation and offers numerous examples that illustrate how to apply this concept in different scenarios. By working through the solutions, students can see how changes in one variable affect another, enhancing their comprehension of this fundamental mathematical principle.

What kind of exercises can be found in the NSS Mathematics in Action Solutions?
The NSS Mathematics in Action Solutions features a variety of exercises that challenge students to apply their knowledge of mathematical concepts. These exercises include word problems, graphical representations, and numerical calculations that require critical thinking and problem-solving skills. Each exercise is accompanied by a detailed solution, allowing students to learn from their mistakes and understand the reasoning behind each answer.

How does the NSS Mathematics in Action Solutions help with exam preparation?
The NSS Mathematics in Action Solutions is an excellent resource for exam preparation, as it provides comprehensive answers to practice exercises commonly found in mathematics curricula. By reviewing the solutions and explanations, students can identify areas where they need improvement and focus their study efforts accordingly. The guide also helps familiarize students with the types of questions they may encounter on exams, boosting their confidence and readiness.