Grade 6 -Math – LS
Set 4 – Grade 6 (Math)
Dear ! This is Set 4 – Grade 6 (Math) Quiz and it contains 25 questions.
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1. Solve the equation: 2(x + 4) = 30
Solve the equation: 2(x + 4) = 30 Distribute the 2: 2x + 8 = 30 Subtract 8 from both sides: 2x = 22 Divide both sides by 2: x = 11
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2. Evaluate: 6² – 4 × 3 + 2
Evaluate: 6² – 4 × 3 + 2 = 36 – 12 + 2 = 26
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3. A bag contains 30 green marbles and 25 yellow marbles. What is the probability of drawing a green marble from the bag?
A bag contains 30 green marbles and 25 yellow 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 = 30 / (30 + 25) = 30/55 = 6/11
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4. A bag contains 25 red marbles, 15 blue marbles, and 10 green marbles. What is the probability of drawing a blue marble from the bag?
A bag contains 25 red marbles, 15 blue marbles, and 10 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 = 15 / (25 + 15 + 10) = 15/50 = 3/10
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5. Solve the equation: 5x – 8 = 27
Solve the equation: 5x – 8 = 27 Add 8 to both sides: 5x = 35 Divide both sides by 5: x = 7
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6. Calculate the area of a square with side length 9 cm.
Calculate the area of a square with side length 9 cm. Area = side length² = 9 cm × 9 cm = 81 cm²
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7. Solve the equation: 5(x – 3) = 70
Distribute the 5: 5x – 15 = 70 Add 15 to both sides: 5x = 85 Divide both sides by 5: x = 17
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8. Solve the equation: 4(x – 2) = 20
Solve the equation: 4(x – 2) = 20 Distribute the 4: 4x – 8 = 20 Add 8 to both sides: 4x = 28 Divide both sides by 4: x = 7
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9. Simplify: 2 + 3 × (4 – 1)
Simplify: 2 + 3 × (4 – 1) = 2 + 3 × 3 = 2 + 9 = 11
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10. Solve the equation: 3x + 10 = 25
Solve the equation: 3x + 10 = 25 Subtract 10 from both sides: 3x = 15 both sides by 3: x = 5
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11. Simplify: 3/5 + 2/5
Simplify: 3/5 + 2/5 = 5/5 = 1
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12. If a cube has a volume of 64 cubic units, what is the length of its edge?
If a cube has a volume of 64 cubic units, what is the length of its edge? Volume = edge length³, so edge length = ∛(Volume) = ∛(64) = 4 units
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13. Simplify: 5/6 + 1/3
Simplify: 5/6 + 1/3 = 5/6 + 2/6 = 7/6
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14. Calculate the perimeter of a rectangle with length 15 cm and width 8 cm.
Calculate the perimeter of a rectangle with length 15 cm and width 8 cm. Perimeter = 2 × (length + width) = 2 × (15 cm + 8 cm) = 2 × 23 cm = 46 cm
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15. Calculate the volume of a rectangular prism with length 6 cm, width 3 cm, and height 9 cm.
Calculate the volume of a rectangular prism with length 6 cm, width 3 cm, and height 9 cm. Volume = length × width × height = 6 cm × 3 cm × 9 cm = 162 cm³
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16. Calculate the area of a triangle with base 12 cm and height 6 cm.
Calculate the area of a triangle with base 12 cm and height 6 cm. Area = (1/2) × base × height = (1/2) × 12 cm × 6 cm = 36 cm²
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17. Solve the equation: 1/2x = 8
Solve the equation: 1/2x = 8 Multiply both sides by 2: x = 16
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18. A bag contains 35 red marbles, 20 blue marbles, and 15 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 = 35 / (35 + 20 + 15) = 35/70 = 1/2
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19. If a rectangle has a perimeter of 40 cm and a length of 12 cm, what is its width?
Perimeter = 2 × (length + width) 40 cm = 2 × (12 cm + width) 40 cm = 24 cm + 2 × width 16 cm = 2 × width width = 8 cm
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20. Evaluate: 5² + 4 × 3 – 7
Evaluate: 5² + 4 × 3 – 7 = 25 + 12 – 7 = 30
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21. Solve the equation: 2/3x = 9
Solve the equation: 2/3x = 9 Multiply both sides by 3/2: x = 27/2 = 13.5
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22. Simplify: 7 + 2 × (5 – 3)
Simplify: 7 + 2 × (5 – 3) = 7 + 2 × 2 = 7 + 4 = 11
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23. If a rectangle has a length of 15 cm and a width of 4 cm, what is its perimeter?
If a rectangle has a length of 15 cm and a width of 4 cm, what is its perimeter? Perimeter = 2 × (length + width) = 2 × (15 cm + 4 cm) = 2 × 19 cm = 38 cm
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24. Calculate the volume of a rectangular prism with length 8 cm, width 4 cm, and height 6 cm.
Calculate the volume of a rectangular prism with length 8 cm, width 4 cm, and height 6 cm. Volume = length × width × height = 8 cm × 4 cm × 6 cm = 192 cm³
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25. Simplify: 4/7 + 3/7
Simplify: 4/7 + 3/7 = 7/7 = 1
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