CM Shri Class 9 – Practice Set 3 (Very Hard Level)

🧮 Section A: Mathematics (30 Questions)

  1. If x25x+6=0x^2 – 5x + 6 = 0x2−5x+6=0, find x
    👉 Answer: 2, 3
  2. Find value: (25)0+(5)2(25)^0 + (5)^2(25)0+(5)2
    👉 Answer: 26
  3. If 3x + 2 = 20, find x
    👉 Answer: 6
  4. Simplify: (23×24)÷25(2^3 × 2^4) ÷ 2^5(23×24)÷25
    👉 Answer: 4
  5. Find square root of 0.0009
    👉 Answer: 0.03
  6. A number increased by 20% becomes 120. Find number
    👉 Answer: 100
  7. Find CI on ₹1000 at 10% for 2 years
    👉 Answer: 210
  8. Solve: 2x3=8\frac{2x}{3} = 832x​=8
    👉 Answer: 12
  9. Find next: 2, 12, 36, 80, __
    👉 Answer: 150
  10. Area of circle (r=7)
    👉 Answer: 154
  11. If a:b = 3:4 and b:c = 2:5, find a:c
    👉 Answer: 3:10
  12. Solve: x2=81x^2 = 81x2=81
    👉 Answer: ±9
  13. Find HCF of 72, 120
    👉 Answer: 24
  14. If CP=500, SP=450, loss %
    👉 Answer: 10%
  15. Solve: (x+2)(x+3)=0(x+2)(x+3)=0(x+2)(x+3)=0
    👉 Answer: -2, -3
  16. Find value: 1+1/2+1/4+1/81 + 1/2 + 1/4 + 1/81+1/2+1/4+1/8
    👉 Answer: 1.875
  17. Find missing: 1, 4, 13, 40, __
    👉 Answer: 121
  18. Find average of first 10 natural numbers
    👉 Answer: 5.5
  19. Find perimeter of circle (r=7)
    👉 Answer: 44
  20. Solve: 5x3=2x+95x – 3 = 2x + 95x−3=2x+9
    👉 Answer: 4
  21. If x:y = 2:3, y:z = 4:5 → x:z
    👉 Answer: 8:15
  22. Find LCM of 18, 24, 30
    👉 Answer: 360
  23. Find value: (33+43)(3^3 + 4^3)(33+43)
    👉 Answer: 91
  24. Simplify: 169+25\sqrt{169} + \sqrt{25}169​+25​
    👉 Answer: 18
  25. If 20% of x = 50 → x
    👉 Answer: 250
  26. Solve: 4x+5=214x + 5 = 214x+5=21
    👉 Answer: 4
  27. Find next: 5, 11, 23, 47, __
    👉 Answer: 95
  28. If radius doubles, area becomes
    👉 Answer: 4 times
  29. Find value: (2+3)3(2+3)^3(2+3)3
    👉 Answer: 125
  30. Solve: x/2+x/3=10x/2 + x/3 = 10x/2+x/3=10
    👉 Answer: 12

🧠 Section B: Reasoning (30 Questions)

  1. Series: 1, 1, 2, 3, 5, 8, __
    👉 Answer: 13
  2. Find odd: 64, 125, 216, 250
    👉 Answer: 250
  3. Coding: BAT = 23, CAT = 24 → DOG = ?
    👉 Answer: 26
  4. Series: A, D, H, M, __
    👉 Answer: S
  5. If 2→6, 3→12, 4→20 → 5=?
    👉 Answer: 30
  6. Mirror time of 7:25
    👉 Answer: 4:35
  7. Find missing: 3, 9, 27, 81, __
    👉 Answer: 243
  8. Odd: Apple, Mango, Banana, Potato
    👉 Answer: Potato
  9. Series: Z, X, U, Q, __
    👉 Answer: L
  10. If A=1, B=2 → ACE=?
    👉 Answer: 9
  11. 5, 6, 9, 15, 24, __
    👉 Answer: 39
  12. Opposite of Transparent
    👉 Answer: Opaque
  13. Series: 100, 95, 85, 70, __
    👉 Answer: 50
  14. Coding: PEN = QFO → BOOK = ?
    👉 Answer: CPPL
  15. Find odd: Cow, Dog, Tiger, Goat
    👉 Answer: Tiger
  16. Series: 4, 18, 48, 100, __
    👉 Answer: 180
  17. If EAST → WEST, then UP → ?
    👉 Answer: DOWN
  18. Missing: 7, 49, 343, __
    👉 Answer: 2401
  19. Series: 2, 5, 11, 23, __
    👉 Answer: 47
  20. Find odd: Monday, Tuesday, January, Friday
    👉 Answer: January
  21. Coding: SKY = TLZ → EARTH = ?
    👉 Answer: FBSUI
  22. Series: 8, 27, 64, 125, __
    👉 Answer: 216
  23. Find missing: 11, 13, 17, 19, __
    👉 Answer: 23
  24. Mirror of 10:10
    👉 Answer: 1:50
  25. Opposite: Expand
    👉 Answer: Contract
  26. Series: 121, 144, 169, __
    👉 Answer: 196
  27. Coding: 3→9, 4→16 → 6=?
    👉 Answer: 36
  28. Odd: Triangle, Square, Cube, Circle
    👉 Answer: Cube
  29. Series: 2, 4, 12, 48, __
    👉 Answer: 240
  30. Direction: Opposite of North-East
    👉 Answer: South-West

🌍 Section C: General Knowledge (20 Questions)

  1. Largest planet
    👉 Answer: Jupiter
  2. Capital of Australia
    👉 Answer: Canberra
  3. First man on Moon
    👉 Answer: Neil Armstrong
  4. Longest river in India
    👉 Answer: Ganga
  5. National fruit
    👉 Answer: Mango
  6. Currency of China
    👉 Answer: Yuan
  7. Largest democracy
    👉 Answer: India
  8. Who discovered gravity
    👉 Answer: Newton
  9. Highest mountain
    👉 Answer: Mount Everest
  10. Largest ocean
    👉 Answer: Pacific
  11. National song
    👉 Answer: Vande Mataram
  12. Capital of Canada
    👉 Answer: Ottawa
  13. ISRO full form
    👉 Answer: Indian Space Research Organisation
  14. Fastest land animal
    👉 Answer: Cheetah
  15. First President of USA
    👉 Answer: George Washington
  16. Largest bone
    👉 Answer: Femur
  17. Smallest continent
    👉 Answer: Australia
  18. UNO HQ
    👉 Answer: New York
  19. First satellite in world
    👉 Answer: Sputnik
  20. National aquatic animal
    👉 Answer: Ganges Dolphin

🔬 Section D: Science (20 Questions)

  1. SI unit of pressure
    👉 Answer: Pascal
  2. Human brain largest part
    👉 Answer: Cerebrum
  3. Speed of sound in air
    👉 Answer: ~343 m/s
  4. Photosynthesis formula
    👉 Answer: CO₂ + H₂O → Glucose + O₂
  5. Blood carries
    👉 Answer: Oxygen
  6. Largest organ
    👉 Answer: Skin
  7. Unit of frequency
    👉 Answer: Hertz
  8. Convex lens forms
    👉 Answer: Real image
  9. Concave mirror used in
    👉 Answer: Shaving mirror
  10. SI unit of current
    👉 Answer: Ampere
  11. DNA full form
    👉 Answer: Deoxyribonucleic Acid
  12. Plant transport system
    👉 Answer: Xylem & Phloem
  13. Electric power formula
    👉 Answer: P = VI
  14. Light travels in
    👉 Answer: Straight line
  15. Metals are
    👉 Answer: Conductors
  16. pH of neutral solution
    👉 Answer: 7
  17. Force unit
    👉 Answer: Newton
  18. Sound cannot travel in
    👉 Answer: Vacuum
  19. Earth revolves in
    👉 Answer: 365 days
  20. Human teeth types
    👉 Answer: 4 types

🏆 Final Strategy (Olympiad Level)

  • Focus on concept clarity + speed
  • Practice mixed difficulty questions
  • Analyze mistakes deeply
  • Attempt full-length mock tests