Grade 6 -Math – LS
Set 2 – Grade 6 (Math)
Dear ! This is Set 2 – Grade 6 (Math) Quiz and it contains 25 questions.
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1. Simplify: 9 + 5 × (8 – 3)
Simplify: 9 + 5 × (8 – 3) = 9 + 5 × 5 = 9 + 25 = 34
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2. Evaluate: 3² – 4 × 2 + 7
Evaluate: 3² – 4 × 2 + 7 = 9 – 8 + 7 = 8
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3. Solve the equation: 4(x + 6) = 88
Solve the equation: 4(x + 6) = 88 Distribute the 4: 4x + 24 = 88 Subtract 24 from both sides: 4x = 64 Divide both sides by 4: x = 16
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4. Calculate the area of a square with side length 6 cm.
Calculate the area of a square with side length 6 cm. Area = side length² = 6 cm × 6 cm = 36 cm²
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5. Calculate the area of a triangle with base 8 cm and height 10 cm.
Calculate the area of a triangle with base 8 cm and height 10 cm. Area = (1/2) × base × height = (1/2) × 8 cm × 10 cm = 40 cm²
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6. Solve the equation: 5x + 4 = 39
Solve the equation: 5x + 4 = 39 Subtract 4 from both sides: 5x = 35 Divide both sides by 5: x = 7
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7. Solve the equation: 1/4x = 12
Solve the equation: 1/4x = 12 Multiply both sides by 4: x = 48
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8. If a rectangle has a perimeter of 60 cm and a length of 18 cm, what is its width?
Perimeter = 2 × (length + width) 60 cm = 2 × (18 cm + width) 60 cm = 36 cm + 2 × width 24 cm = 2 × width width = 12 cm
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9. Calculate the volume of a rectangular prism with length 9 cm, width 6 cm, and height 12 cm.
Volume = length × width × height = 9 cm × 6 cm × 12 cm = 648 cm³
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10. If a cube has a volume of 125 cubic units, what is the length of its edge?
If a cube has a volume of 125 cubic units, what is the length of its edge? Volume = edge length³, so edge length = ∛(Volume) = ∛(125) = 5 units
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11. Solve the equation: 3(x – 5) = 48
Solve the equation: 3(x – 5) = 48 Distribute the 3: 3x – 15 = 48 Add 15 to both sides: 3x = 63 Divide both sides by 3: x = 21
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12. A bag contains 30 red marbles, 25 blue marbles, and 20 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 + 25 + 20) = 30/75 = 2/5
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13. A bag contains 35 red marbles, 25 blue marbles, and 20 green marbles. What is the probability of drawing a blue marble from the bag?
Probability of drawing a blue marble = Number of blue marbles / Total number of marbles = 25 / (35 + 25 + 20) = 25/80 = 5/16
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14. Calculate the perimeter of a rectangle with length 16 cm and width 11 cm.
Perimeter = 2 × (length + width) = 2 × (16 cm + 11 cm) = 2 × 27 cm = 54 cm
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15. Calculate the perimeter of a rectangle with length 14 cm and width 9 cm.
Calculate the perimeter of a rectangle with length 14 cm and width 9 cm. Perimeter = 2 × (length + width) = 2 × (14 cm + 9 cm) = 2 × 23 cm = 46 cm
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16. Solve the equation: 2x – 3 = 19
Solve the equation: 2x – 3 = 19 Add 3 to both sides: 2x = 22 Divide both sides by 2: x = 11
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17. Simplify: 2/7 + 5/7
Simplify: 2/7 + 5/7 = 7/7 = 1
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18. Simplify: 2/9 + 3/6
Simplify: 2/9 + 3/6 = 2/9 + 1/2 = 4/18 + 9/18 = 13/18
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19. Solve the equation: 1/3x = 10
Solve the equation: 1/3x = 10 Multiply both sides by 3: x = 30
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20. A bag contains 40 red marbles, 30 blue marbles, and 20 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 = 20 / (40 + 30 + 20) = 20/90 = 2/9
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21. Simplify: 4 + 2 × (6 – 2)
Simplify: 4 + 2 × (6 – 2) = 4 + 2 × 4 = 4 + 8 = 12
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22. Solve the equation: 5(x + 2) = 75
Solve the equation: 5(x + 2) = 75 Distribute the 5: 5x + 10 = 75 Subtract 10 from both sides: 5x = 65 Divide both sides by 5: x = 13
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23. Evaluate: 6² + 2 × 3 – 4
Evaluate: 6² + 2 × 3 – 4 = 36 + 6 – 4 = 38
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24. Simplify: 3/5 + 1/10
Simplify: 3/5 + 1/10 = 6/10 + 1/10 = 7/10
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25. If a cube has a volume of 216 cubic units, what is the length of its edge?
Volume = edge length³, so edge length = ∛(Volume) = ∛(216) = 6 units
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