NCERT Worksheet Class 8 Maths Chapter 5 Number Play | 20 MCQs with Solutions | CBSE 2026-27

Class 8 Maths Chapter 5 Number Play - NCERT 2026-27 Ganit Prakash - 20 MCQs Worksheet

Welcome to Galaxy Coaching Classes! This is the NEW NCERT Ganit Prakash 2026-27 worksheet for Class 8 Maths Chapter 5 Number Play. This chapter covers Patterns in Numbers, Parity, Multiples of 4, Divisibility by 3, 9, 11, Digital Roots, Factors, Multiples and Cryptarithms. Perfect for CBSE students worldwide.

Board: CBSE | Class: 8 | Chapter: 5 Number Play | Book: Ganit Prakash 2026-27 | Type: MCQ Worksheet with Solutions

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Learning Objectives (As per NCERT 2026-27):
✓ Sum of consecutive numbers & patterns
✓ Parity (Even/Odd), Multiples of 4
✓ Divisibility Rules for 3, 9, 11 & Digital Roots
✓ Proving claims for every number - Always/Sometimes/Never

Worksheet - Chapter 5 Number Play - 20 MCQs with Answers

Q1. Which is divisible by 3?
(a) 124 (b) 126 (c) 130 (d) 137

Q2. Which is divisible by 9?
(a) 123 (b) 729 (c) 456 (d) 112

Q3. Which is divisible by 11?
(a) 121 (b) 123 (c) 145 (d) 111

Q4. Digital root of 987 is:
(a) 6 (b) 8 (c) 9 (d) 24

Q5. Sum of first 5 consecutive numbers 1+2+3+4+5 =
(a) 10 (b) 15 (c) 20 (d) 25

Q6. Sum of 7+8+9 =
(a) 24 = 3 x 8 (b) 20 (c) 26 (d) 30

Q7. Prime factors of 36 are:
(a) 2x2x3x3 (b) 2x3x6 (c) 4x9 (d) 6x6

Q8. Prime factors of 60 are:
(a) 2x2x3x5 (b) 2x3x10 (c) 4x15 (d) 6x10

Q9. Which is divisible by 4?
(a) 1316 (b) 1315 (c) 1317 (d) 1319

Q10. Which is divisible by 5?
(a) 75 (b) 72 (c) 73 (d) 74

Q11. 123 + 321 =
(a) 444 (b) 443 (c) 445 (d) 400

Q12. A 3-digit number + its reverse is always divisible by:
(a) 9 (b) 11 (c) 13 (d) 7

Q13. Even + Odd =
(a) Even (b) Odd (c) Both (d) None

Q14. Odd + Odd =
(a) Odd (b) Even (c) Zero (d) Prime

Q15. Digital root of 123 is:
(a) 5 (b) 6 (c) 7 (d) 9

Q16. Which number is divisible by 2, 3 and 9?
(a) 126 (b) 127 (c) 125 (d) 129

Q17. 101 - 010 = 91. Digital root of 91 is:
(a) 10 (b) 1 (c) 9 (d) 0

Q18. If sum of digits is divisible by 9, number is divisible by:
(a) 3 only (b) 9 and 3 (c) 11 (d) 4

Q19. Which is a multiple of 4?
(a) 14 (b) 22 (c) 28 (d) 30

Q20. 1+2+3+...+10 =
(a) 45 (b) 50 (c) 55 (d) 60

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Answer Key - Chapter 5 Number Play

1-b, 2-b, 3-a, 4-a, 5-b, 6-a, 7-a, 8-a, 9-a, 10-a, 11-a, 12-b, 13-b, 14-b, 15-b, 16-a, 17-b, 18-b, 19-c, 20-c

Detailed Solutions with Tricks

Q1, Q2, Q16. Divisibility Trick: Sum of digits divisible by 3 => divisible by 3. Sum divisible by 9 => divisible by 9 and 3. 126 => 1+2+6=9, so divisible by 3 and 9.

Q3 & Q12. Divisibility by 11 Trick: (Sum of alternate digits difference) = 0 or 11. 121 => (1+1)-2=0. Any 3-digit + reverse always gives multiple of 11.

Q4, Q15, Q17. Digital Root Trick: Keep adding digits till single digit. 987 => 9+8+7=24 => 2+4=6. 91 => 9+1=10 => 1+0=1.

Q5, Q6, Q20. Consecutive Sum Trick: Sum = Middle number x Count. 1+2+3+4+5 = 3 x 5 = 15. 1 to 10 = 55 (n(n+1)/2).

Q13 & Q14. Parity Trick: Even+Odd=Odd, Odd+Odd=Even, Even+Even=Even. Always check last digit.

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Next Chapter: Chapter 6 Keeping Things in Proportion Worksheet | Previous: Chapter 4 Quadrilaterals Worksheet

NCERT Worksheet Class 8 Maths Chapter 4 Quadrilaterals | 20 MCQs with Solutions | CBSE 2026-27

Class 8 Maths Chapter 4 Quadrilaterals - NCERT 2026-27 Ganit Prakash - 20 MCQs Worksheet

Welcome to Galaxy Coaching Classes! This is the NEW NCERT Ganit Prakash 2026-27 worksheet for Class 8 Maths Chapter 4 Quadrilaterals. This chapter covers Types of Quadrilaterals, Properties of Parallelogram, Rectangle, Square, Rhombus, Trapezium, Kite, and Angle Sum Property. Perfect for CBSE students worldwide.

Board: CBSE | Class: 8 | Chapter: 4 Quadrilaterals | Book: Ganit Prakash 2026-27 | Type: MCQ Worksheet with Solutions

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Learning Objectives (As per NCERT 2026-27):
✓ Sum of interior angles of quadrilateral is 360°
✓ Properties of Parallelogram, Rectangle, Square, Rhombus
✓ Trapezium and Kite properties
✓ Classification based on sides, angles & diagonals

Worksheet - Chapter 4 Quadrilaterals - 20 MCQs with Answers

Q1. Sum of all interior angles of a quadrilateral is:
(a) 180° (b) 360° (c) 540° (d) 90°

Q2. A quadrilateral with all 4 sides equal and all angles 90° is:
(a) Rectangle (b) Square (c) Rhombus (d) Trapezium

Q3. Opposite sides are equal and parallel, all angles 90° is:
(a) Square (b) Rectangle (c) Kite (d) Rhombus

Q4. Diagonals bisect each other in:
(a) Parallelogram (b) Kite (c) Trapezium (d) None

Q5. A quadrilateral with only one pair of parallel sides is:
(a) Parallelogram (b) Trapezium (c) Rhombus (d) Square

Q6. All sides equal, opposite sides parallel, opposite angles equal is:
(a) Square (b) Rectangle (c) Rhombus (d) Kite

Q7. Diagonals are equal in:
(a) Parallelogram (b) Rectangle and Square (c) Rhombus (d) Kite

Q8. Diagonals intersect at 90° in:
(a) Rectangle (b) Rhombus and Square (c) Parallelogram (d) Trapezium

Q9. Two pairs of adjacent sides equal in:
(a) Parallelogram (b) Kite (c) Rectangle (d) Trapezium

Q10. If one angle of parallelogram is 70°, opposite angle is:
(a) 110° (b) 70° (c) 180° (d) 90°

Q11. Number of sides in a quadrilateral:
(a) 3 (b) 4 (c) 5 (d) 6

Q12. A square is also a:
(a) Rectangle (b) Rhombus (c) Parallelogram (d) All of these

Q13. In a rectangle, each angle is:
(a) 60° (b) 90° (c) 180° (d) 360°

Q14. If diagonals of a quadrilateral are equal and bisect at 90°, it is:
(a) Rectangle (b) Square (c) Parallelogram (d) Trapezium

Q15. Exterior angle + interior angle at same vertex =
(a) 90° (b) 180° (c) 360° (d) 270°

Q16. Which is NOT a parallelogram?
(a) Square (b) Rectangle (c) Trapezium (d) Rhombus

Q17. Kite has:
(a) One pair of equal opposite angles (b) All angles equal (c) All sides equal (d) Opposite sides parallel

Q18. In a parallelogram, adjacent angles are:
(a) Equal (b) Supplementary (180°) (c) Complementary (90°) (d) None

Q19. Minimum number of sides to form a polygon is 4. True/False?
(a) True (b) False, 3 sides triangle (c) False, 2 sides (d) None

Q20. If 3 angles of quadrilateral are 90°, 90°, 90°, fourth angle is:
(a) 90° (b) 180° (c) 270° (d) 360°

---

Answer Key - Chapter 4 Quadrilaterals

1-b, 2-b, 3-b, 4-a, 5-b, 6-c, 7-b, 8-b, 9-b, 10-b, 11-b, 12-d, 13-b, 14-b, 15-b, 16-c, 17-a, 18-b, 19-b, 20-a

Detailed Solutions with Tricks

Q1 & Q20. Angle Sum Trick: Sum = 360°. So 90+90+90+x=360 => x=90°. Quadrilateral becomes rectangle/square.

Q10 & Q18. Parallelogram Tricks: Opposite angles equal, Adjacent angles supplementary (sum 180°). So if one is 70°, adjacent 110°, opposite 70°.

Q4, Q7, Q8. Diagonal Tricks: All parallelograms bisect each other. Rectangle/Square diagonals EQUAL. Rhombus/Square/Kite diagonals at 90°.

Q12. Important: Square is most special - it is rectangle (90°), rhombus (all sides equal), parallelogram (opposite parallel) - so ALL of these.

Q16. Classification: Square, Rectangle, Rhombus are all parallelograms. Only Trapezium has only ONE pair parallel, so NOT a parallelogram.

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Next Chapter: Chapter 5 Finding The Unknown Worksheet | Previous: Chapter 3 A Story of Numbers Worksheet

NCERT Worksheet Class 8 Maths Chapter 2 Power Play | 20 MCQs with Solutions | CBSE 2026-27

NCERT Worksheet Class 8 Maths Chapter 3 A Story of Numbers | 20 MCQs with Solutions | CBSE 2026-27

Class 8 Maths Chapter 3 A Story of Numbers - NCERT 2026-27 Ganit Prakash - 20 MCQs Worksheet

Welcome to Galaxy Coaching Classes! This is the NEW NCERT Ganit Prakash 2026-27 worksheet for Class 8 Maths Chapter 3 A Story of Numbers. This chapter covers History of Counting, Tally Marks, Roman Numerals, Egyptian, Mesopotamian, Mayan Systems, and Hindu Number System with Base, Place Value and Zero. Perfect for CBSE students worldwide.

Board: CBSE | Class: 8 | Chapter: 3 A Story of Numbers | Book: Ganit Prakash 2026-27 | Type: MCQ Worksheet with Solutions

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Learning Objectives (As per NCERT 2026-27):
✓ How humans learned to count - one-to-one mapping & tally marks
✓ Early systems: Roman, Egyptian, Mesopotamian (base-60), Mayan (base-20)
✓ Four Big Ideas: Grouping, Landmark Numbers, Base, Place Value with Zero
✓ Why Hindu (Indian) base-10 system is the most efficient

Worksheet - Chapter 3 A Story of Numbers - 20 MCQs with Answers

Q1. What is the earliest method of counting?
(a) Roman numerals (b) One-to-one mapping with sticks/stones (c) Place value (d) Base-10

Q2. In the Gumulgal system (Australia), how do they count beyond two?
(a) Use 0 (b) Grouping of twos - "two-two", "two-two-one" (c) Base-10 (d) Roman letters

Q3. Symbols used to write numbers are called:
(a) Numbers (b) Numerals (c) Digits (d) Landmarks

Q4. Landmark numbers in Egyptian system are:
(a) 1, 10, 100, 1000... (b) I, V, X (c) 0-9 (d) 60

Q5. Roman numeral IV stands for:
(a) 6 (b) 4 (c) 5 (d) 2

Q6. Which number system does NOT have place value?
(a) Hindu system (b) Roman system (c) Mayan system (d) Mesopotamian system

Q7. Base of Mesopotamian number system is:
(a) 10 (b) 20 (c) 60 (d) 5

Q8. Base of Mayan number system is:
(a) 10 (b) 20 (c) 60 (d) 2

Q9. The concept of ZERO was first developed in:
(a) Egypt (b) Rome (c) India (Hindu system) (d) Mesopotamia

Q10. In Hindu system, place value of 5 in 543 is:
(a) 5 (b) 50 (c) 500 (d) 5000

Q11. What is the base of our present Hindu number system?
(a) 5 (b) 10 (c) 20 (d) 60

Q12. Tally marks are grouped in:
(a) 2s (b) 5s (c) 10s (d) 60s

Q13. Which of these is NOT a feature of Hindu system?
(a) Base 10 (b) Place value (c) Zero (d) No place value, add symbols

Q14. Egyptian numeral for 100 is different from numeral for 10 because of:
(a) Place value (b) Landmark numbers - new symbol for each power of 10 (c) Base 60 (d) Zero

Q15. Value of Roman numeral XL is:
(a) 60 (b) 40 (c) 90 (d) 15

Q16. Four big ideas that led to modern number system are:
(a) Grouping, Landmark numbers, Base, Place value with Zero (b) Addition, Subtraction, Multiplication, Division (c) I, V, X, L (d) Tally, Roman, Egyptian, Hindu

Q17. Why is Roman system inefficient for large numbers?
(a) No zero and no place value, need many symbols (b) It has base 60 (c) It uses dots and bars (d) It is base-20

Q18. In a base-5 system, how many distinct numerals are needed?
(a) 5 (0,1,2,3,4) (b) 10 (c) 2 (d) 60

Q19. Chinese rod numerals used:
(a) Place value and base-10 (b) Only Roman letters (c) Base-60 (d) Tally grouping in 5s only

Q20. The modern numerals 0-9 that we use today are called:
(a) Roman numerals (b) Egyptian numerals (c) Hindu-Arabic numerals / Hindu numerals (d) Mayan numerals

---

Answer Key - Chapter 3 A Story of Numbers

1-b, 2-b, 3-b, 4-a, 5-b, 6-b, 7-c, 8-b, 9-c, 10-c, 11-b, 12-b, 13-d, 14-b, 15-b, 16-a, 17-a, 18-a, 19-a, 20-c

Detailed Solutions with Tricks

Q1 & Q2. Trick: Earliest counting = one-to-one mapping. Gumulgal people had only words for 1, 2. For 3 they said "two-one", for 4 "two-two". So grouping idea starts early.

Q3. Numerals: Numbers are ideas, numerals are symbols to write them. Like 5 is a number, '5' is a numeral.

Q5 & Q15. Roman Trick: If smaller before larger, subtract. IV = 5-1=4, XL = 50-10=40. If smaller after, add. VI = 5+1=6.

Q6, Q13 & Q17. Main Difference: Roman has NO place value and NO zero. You have to add values of all symbols (XXX = 10+10+10). Hindu has place value + zero, so very short and efficient.

Q7 & Q8. Must Remember Base: Mesopotamian = Base 60 (60 seconds, 60 minutes came from there!), Mayan = Base 20 (dots and bars, counted with fingers + toes), Egyptian & Hindu = Base 10

Q9 & Q11. Most Important: Zero and place value invented in India 2000 years ago. Our system = Base 10, 10 numerals 0-9.

Q12. Tally Trick: Tally marks grouped in 5s (four vertical lines + one cross line) for fast counting.

Q14. Egyptian Trick: They had different pictures for 1, 10, 100, 1000. These are called Landmark numbers - powers of base.

Q18. Base Rule: Base-n needs n numerals. Base-5 needs 0,1,2,3,4 = 5 numerals. Base-10 needs 10 numerals (0-9).

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Next Chapter: Chapter 4 Mathematics and Beyond Worksheet | Previous: Chapter 2 Power Play Worksheet