Grade 6 -Math – LS
Set 1 – Grade 6 (Math)
Dear ! This is Set 1 – Grade 6 (Math) Quiz and it contains 25 questions.
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1. A bag contains 25 red marbles, 15 blue marbles, and 10 green marbles. What is the probability of drawing a green marble from the bag?
Probability of drawing a green marble = Number of green marbles / Total number of marbles = 10 / (25 + 15 + 10) = 10/50 = 1/5
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2. Calculate the area of a square with side length 9 cm.
Area = side length² = 9 cm × 9 cm = 81 cm²
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3. Simplify: 1/3 + 1/6
Simplify: 1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2
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4. If a rectangle has a perimeter of 70 cm and a length of 20 cm, what is its width?
Perimeter = 2 × (length + width) 70 cm = 2 × (20 cm + width) 70 cm = 40 cm + 2 × width 3 0 cm = 2 × width width = 15 cm
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5. Solve the equation: 4x – 9 = 23
Solve the equation: 4x – 9 = 23 Add 9 to both sides: 4x = 32 Divide both sides by 4: x = 8
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6. Calculate the perimeter of a rectangle with length 12 cm and width 5 cm.
Perimeter = 2 × (length + width) = 2 × (12 cm + 5 cm) = 2 × 17 cm = 34 cm
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7. Simplify: 7 + 3 × (8 – 4)
Simplify: 7 + 3 × (8 – 4) = 7 + 3 × 4 = 7 + 12 = 19
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8. Evaluate: 4² + 3 × 2 – 5
Evaluate: 4² + 3 × 2 – 5 = 16 + 6 – 5 = 17
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9. If a rectangle has an area of 48 square units and a length of 8 units, what is its width?
Area = length × width 48 = 8 × width width = 48/8 = 6 units
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10. Calculate the area of a circle with a radius of 6 cm (use π = 3.14).
Area = π × radius² = 3.14 × 6 cm × 6 cm = 113.04 cm² (rounded to two decimal places)
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11. A bag contains 30 red marbles, 20 blue marbles, and 10 green marbles. What is the probability of drawing a red marble from the bag?
Probability of drawing a red marble = Number of red marbles / Total number of marbles = 30 / (30 + 20 + 10) = 30/60 = 1/2
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12. Calculate the area of a triangle with base 5 cm and height 7 cm.
Area = (1/2) × base × height = (1/2) × 5 cm × 7 cm = 17.5 cm²
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13. Simplify: 3/5 × 10/4
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14. Solve the equation: 2x + 5 = 17
Solve the equation: 2x + 5 = 17 Subtract 5 from both sides: 2x = 12 Divide both sides by 2: x = 6
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15. Evaluate: 5² – 2 × 4 + 9
Evaluate: 5² – 2 × 4 + 9 = 25 – 8 + 9 = 26
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16. Calculate the volume of a rectangular prism with length 12 cm, width 8 cm, and height 10 cm.
Volume = length × width × height = 12 cm × 8 cm × 10 cm = 960 cm³
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17. Solve the equation: 2/9x = 12
Solve the equation: 2/9x = 12 Multiply both sides by 9/2: x = 54
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18. Simplify: 3/4 + 1/2
Simplify: 3/4 + 1/2 = 3/4 + 2/4 = 5/4
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19. Solve the equation: 2/7x = 8
Solve the equation: 2/7x = 8 Multiply both sides by 7/2: x = 28
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20. Solve the equation: 2(x – 3) = 10
Solve the equation: 2(x – 3) = 10 Distribute the 2: 2x – 6 = 10 Add 6 to both sides: 2x = 16 Divide both sides by 2: x = 8
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21. Solve the equation: 1/2x = 9
Solve the equation: 1/2x = 9 Multiply both sides by 2: x = 18
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22. Evaluate: 4³ + 5 × 2² – 8
Evaluate: 4³ + 5 × 2² – 8 = 64 + 20 – 8 = 76
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23. Solve the equation: 6(x – 7) = 78
Solve the equation: 6(x – 7) = 78 Distribute the 6: 6x – 42 = 78 Add 42 to both sides: 6x = 120 Divide both sides by 6: x = 20
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24. Solve the equation: 3x + 7 = 46
Solve the equation: 3x + 7 = 46 Subtract 7 from both sides: 3x = 39 Divide both sides by 3: x = 13
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25. Simplify: 6 + 3 × (9 – 5)
Simplify: 6 + 3 × (9 – 5) = 6 + 3 × 4 = 6 + 12 = 18
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