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Maharashtra State BoardSSC (English Medium) 7th Standard

Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board chapter 16 - Miscellaneous Problems : Set 1 [Latest edition]

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Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board chapter 16 - Miscellaneous Problems : Set 1 - Shaalaa.com
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Solutions for Chapter 16: Miscellaneous Problems : Set 1

Below listed, you can find solutions for Chapter 16 of Maharashtra State Board Balbharati for Mathematics [English] 7 Standard Maharashtra State Board.


ExerciseMultiple Choice Questions
Exercise [Pages 61 - 62]

Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board 16 Miscellaneous Problems : Set 1 Exercise [Pages 61 - 62]

Exercise | Q 1.1 | Page 61

Solve the following.

(−16) × (−5)

Exercise | Q 1.2 | Page 61

Solve the following.

(72) ÷ (−12)

Exercise | Q 1.3 | Page 61

Solve the following.

(−24) × (2)

Exercise | Q 1.4 | Page 61

Solve the following.

125 ÷ 5

Exercise | Q 1.5 | Page 61

Solve the following.

(−104) ÷ (−13)

Exercise | Q 1.6 | Page 61

Solve the following.

25 × (−4)

Exercise | Q 2.1 | Page 61

Find the prime factor of the following numbers and find their LCM and HCF.

75, 135

Exercise | Q 2.2 | Page 61

Find the prime factor of the following numbers and find their LCM and HCF.

114, 76

Exercise | Q 2.3 | Page 61

Find the prime factor of the following numbers and find their LCM and HCF.

153, 187

Exercise | Q 2.4 | Page 61

Find the prime factor of the following numbers and find their LCM and HCF.

32, 24, 48

Exercise | Q 3.1 | Page 61

Simplify:

`322/391`

Exercise | Q 3.2 | Page 61

Simplify:

`247/209`

Exercise | Q 3.3 | Page 61

Simplify:

`117/156`

Exercise | Q 4.1 | Page 61

Find the square root of the following number.

784

Exercise | Q 4.2 | Page 61

Find the square root of the following number.

225

Exercise | Q 4.3 | Page 61

Find the square root of the following number.

1296

Exercise | Q 4.4 | Page 61

Find the square root of the following number.

2025

Exercise | Q 4.5 | Page 61

Find the square root of the following number.

256

Exercise | Q 5 | Page 61

There are four polling booths for a certain election. The numbers of men and women who cast their vote at each booth is given in the table below. Draw a joint bar graph for this data.

Polling Booths Navodaya
Vidyalaya
Vidyaniketan
School
City High School Eklavya School
Women 500 520 680 800
Men 440 640 760 600
Exercise | Q 6.1 | Page 61

Simplify the expression.

45 ÷ 5 + 20 × 4 − 12

Exercise | Q 6.2 | Page 61

Simplify the expression.

(38 − 8) × 2 ÷ 5 + 13

Exercise | Q 6.3 | Page 61

Simplify the expression.

`5/3 + 4/7 div 32/21`

Exercise | Q 6.4 | Page 61

Simplify the expression.

3 × {4 [85 + 5 − (15 ÷ 3)] + 2}

Exercise | Q 7.1 | Page 61

Solve:

`5/12 + 7/16`

Exercise | Q 7.2 | Page 61

Solve:

`3 2/5 - 2 1/4`

Exercise | Q 7.3 | Page 61

Solve:

`12/5 xx ((-10))/3`

Exercise | Q 7.4 | Page 61

Solve:

`4 3/8 div 25/18`

Exercise | Q 8 | Page 61

Construct ∆ABC such that m∠A = 55°, m∠B = 60°, and l(AB) = 5.9 cm. 

Exercise | Q 9 | Page 61

Construct ∆XYZ such that l(XY) = 3.7 cm, l(YZ) = 7.7 cm, l(XZ) = 6.3 cm.

Exercise | Q 10 | Page 61

Construct ∆PQR such that m∠P = 80°, m∠Q = 70°, l(QR) = 5.7 cm.

Exercise | Q 11 | Page 61

Construct ∆EFG from the given measures. l(FG) = 5 cm, m∠EFG = 90°, l(EG) = 7 cm.

Exercise | Q 12 | Page 61

In ∆LMN, l(LM) = 6.2 cm, m∠LMN = 60°, l(MN) = 4 cm. Construct ∆LMN.

Exercise | Q 13.1 | Page 61

Find the measures of the complementary angle of the following angle.

35° 

Exercise | Q 13.2 | Page 61

Find the measures of the complementary angle of the following angle.

 a° 

Exercise | Q 13.3 | Page 61

Find the measure of the complementary angle of the following angle.

22°

Exercise | Q 13.4 | Page 61

Find the measure of the complementary angle of the following angle.

(40 - x)°

Exercise | Q 14.1 | Page 61

Find the measure of the supplement of the following angle.

111°

Exercise | Q 14.2 | Page 61

Find the measure of the supplements of the following angle.

47°

Exercise | Q 14.3 | Page 61

Find the measure of the supplements of the following angle.

180°

Exercise | Q 14.4 | Page 61

Find the measure of the supplements of the following angle.

(90 − x)°

Exercise | Q 15.1 | Page 61

Construct a pair of adjacent angles.

Exercise | Q 15.2 | Page 61

Construct the two supplementary angles which are not adjacent angles.

Exercise | Q 15.3 | Page 61

Construct a pair of adjacent complementary angles.

Exercise | Q 16. | Page 62

In ∆PQR, the measures of ∠P and ∠Q are equal and m∠PRQ = 70°. Find the measures of the following angles.

  1. m∠PRT
  2. m∠P
  3. m∠Q
Exercise | Q 17.1 | Page 62

Simplify:

54 × 53

Exercise | Q 17.2 | Page 62

Simplify:

`(2/3)^6 div (2/3)^9`

Exercise | Q 17.3 | Page 62

Simplify:

`(7/2)^8 xx (7/2)^-6`

Exercise | Q 17.4 | Page 62

Simplify:

`(4/5)^2 div (5/4)`

Exercise | Q 18.1 | Page 62

Find the value of 1716 ÷ 1716.

Exercise | Q 18.2 | Page 62

Find the value of 10−3.

Exercise | Q 18.3 | Page 62

Find the value of (23)2.

Exercise | Q 18.4 | Page 62

Find the value of 46 × 44.

Exercise | Q 19.1 | Page 62

Solve:

(6a − 5b − 8c) + (15b + 2a − 5c)

Exercise | Q 19.2 | Page 62

Solve:

(3x + 2y)(7x − 8y)

Exercise | Q 19.3 | Page 62

Solve:

(7m − 5n) − (−4n − 11m)

Exercise | Q 19.4 | Page 62

Solve:

(11m − 12n + 3p) − (9m + 7n − 8p)

Exercise | Q 20.1 | Page 62

Solve the following equation.

4(​x + 12) = 8

Exercise | Q 20.2 | Page 62

Solve the following equation.

3y + 4 = 5y − 6

Multiple Choice Questions [Page 62]

Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board 16 Miscellaneous Problems : Set 1 Multiple Choice Questions [Page 62]

Multiple Choice Questions | Q 1 | Page 62

The three angle bisectors of a triangle are concurrent. Their point of concurrence is called the ______.

  • Circumcentre

  • Apex

  • Incentre

  • Point of intersection

Multiple Choice Questions | Q 2 | Page 62

`[(3/7)^-3]^4` = ______

  • `(3/7)^-7`

  • `(3/7)^-10`

  • `(7/3)^12`

  • `(3/7)^20`

Multiple Choice Questions | Q 3 | Page 62

The simplest form of 5 ÷ `(3/2) - 1/3` is ______.

  • 3

  • 5

  • 0

  • `1/3`

Multiple Choice Questions | Q 4 | Page 62

The solution of the equation `"3x" - 1/2 = 5/2 + "x"` is ______.

  • `5/3`

  • `7/2`

  • 4

  • `3/2`

Multiple Choice Questions | Q 5 | Page 62

Which of the following expressions has the value 37?

  • 10 × 3 + (5 + 2)

  • 10 × 4 + (5 - 3)

  • 8 × 4 + 3

  • (9 × 3) + 2

Solutions for 16: Miscellaneous Problems : Set 1

ExerciseMultiple Choice Questions
Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board chapter 16 - Miscellaneous Problems : Set 1 - Shaalaa.com

Balbharati solutions for Mathematics [English] 7 Standard Maharashtra State Board chapter 16 - Miscellaneous Problems : Set 1

Shaalaa.com has the Maharashtra State Board Mathematics Mathematics [English] 7 Standard Maharashtra State Board Maharashtra State Board solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Balbharati solutions for Mathematics Mathematics [English] 7 Standard Maharashtra State Board Maharashtra State Board 16 (Miscellaneous Problems : Set 1) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. Balbharati textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Mathematics [English] 7 Standard Maharashtra State Board chapter 16 Miscellaneous Problems : Set 1 are The Property of the Angle Bisectors of a Triangle, Perpendicular Bisectors of the Sides of an Acute-angled Triangle, Construction of Triangles, Concept of Angle Bisector, Drawing a Perpendicular to a Line at a Point on the Line, Perpendicular Bisectors of the Sides of an Obtuse-angled Triangle, Constructing a Triangle When the Length of Its Three Sides Are Known (SSS Criterion), Constructing a Triangle When the Lengths of Two Sides and the Measure of the Angle Between Them Are Known. (SAS Criterion), Construct a Triangle Given Two Angles and the Included Side, Construct a Right-angled Triangle Given the Hypotenuse and One Side, Congruence Among Line Segments, Congruence of Angles, Congruence of Circles, Concept for Natural Numbers, Concept for Whole Numbers, Negative and Positive Numbers, Multiplication of Two Positive Integers, Concept for Ordering of Integers, Concept of Integers, Addition of Integers, Subtraction of Integers, Multiplication of a Positive and a Negative Integers, Multiplication of Two Negative Integers, Division of Integers, Concept of Twin Prime Numbers, Prime Factorisation, Highest Common Factor, Lowest Common Multiple, Concept of Prime Numbers, Concept of Co-Prime Number, Complementary Angles, Concept of Angle, Opposite Rays, Concept of Linear Pair, Supplementary Angles, Concept of Vertically Opposite Angles, Interior Angles of a Polygon, Exterior Angle of a Triangle and Its Property, Rational Numbers, Rational Numbers Between Two Rational Numbers, Decimal Representation of Rational Numbers, Addition of Rational Number, BODMAS - Rules for Simplifying an Expression, Multiplication of Rational Numbers, Division of Rational Numbers, Additive Inverse of Rational Number, Subtraction of Rational Number, Dividing Powers with the Same Base, Concept of Exponents, Concept of Square Number, Laws of Exponents, Multiplying Powers with the Same Base, Multiplying Powers with Different Base and Same Exponents, Finding the Square Root of a Perfect Square, Concept of Cube Number, Taking Power of a Power, Dividing Powers with Different Base and Same Exponents, Numbers with Exponent Zero, One, Negative Exponents, Miscellaneous Examples Using the Laws of Exponents, Crores, Concept of Joint Bar Graph, Interpretation of a Joint Bar Graph, Drawing a Joint Bar Graph, Types of Algebraic Expressions as Monomials, Binomials, Trinomials, and Polynomials, Addition of Algebraic Expressions, Algebraic Expressions, Subtraction of Algebraic Expressions, Multiplication of Algebraic Expressions, Equations in One Variable, Like and Unlike Terms, Multiplying Monomial by Monomials, Multiplying a Monomial by a Binomial, Multiplying a Binomial by a Binomial, Terms, Factors and Coefficients of Expression.

Using Balbharati Mathematics [English] 7 Standard Maharashtra State Board solutions Miscellaneous Problems : Set 1 exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in Balbharati Solutions are essential questions that can be asked in the final exam. Maximum Maharashtra State Board Mathematics [English] 7 Standard Maharashtra State Board students prefer Balbharati Textbook Solutions to score more in exams.

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