Grade 6 -Math – LS
Set 3 – Grade 6 (Math)
Dear ! This is Set 3 – Grade 6 (Math) Quiz and it contains 25 questions.
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1. Evaluate: 3² – 2 × 5 + 8
Evaluate: 3² – 2 × 5 + 8 = 9 – 10 + 8 = 7
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2. Solve the equation: 7(x – 4) = 63
Solve the equation: 7(x – 4) = 63 Distribute the 7: 7x – 28 = 63 Add 28 to both sides: 7x = 91 Divide both sides by 7: x = 13
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3. Solve the equation: 6(x + 3) = 66
Solve the equation: 6(x + 3) = 66 Distribute the 6: 6x + 18 = 66 Subtract 18 from both sides: 6x = 48 Divide both sides by 6: x = 8
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4. Calculate the area of a triangle with base 15 cm and height 9 cm.
Calculate the area of a triangle with base 15 cm and height 9 cm. Area = (1/2) × base × height = (1/2) × 15 cm × 9 cm = 67.5 cm²
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5. If a cube has a volume of 27 cubic units, what is the length of its edge?
If a cube has a volume of 27 cubic units, what is the length of its edge? Volume = edge length³, so edge length = ∛(Volume) = ∛(27) = 3 units
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6. Solve the equation: 2/5x = 6
Solve the equation: 2/5x = 6 Multiply both sides by 5/2: x = 15
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7. Calculate the area of a square with side length 12 cm.
Area = side length² = 12 cm × 12 cm = 144 cm²
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8. Simplify: 3 + 4 × (2 – 1)
Simplify: 3 + 4 × (2 – 1) = 3 + 4 × 1 = 3 + 4 = 7
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9. A bag contains 35 red marbles, 20 blue marbles, and 15 green marbles. What is the probability of drawing a green marble from the bag?
A bag contains 35 red marbles, 20 blue marbles, and 15 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 = 15 / (35 + 20 + 15) = 15/70 = 3/14
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10. Evaluate: 2² – 3 × 4 + 5
Evaluate: 2² – 3 × 4 + 5 = 4 – 12 + 5 = -3
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11. Calculate the perimeter of a rectangle with length 18 cm and width 6 cm.
Calculate the perimeter of a rectangle with length 18 cm and width 6 cm. Perimeter = 2 × (length + width) = 2 × (18 cm + 6 cm) = 2 × 24 cm = 48 cm
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12. If a rectangle has a perimeter of 50 cm and a length of 15 cm, what is its width?
Perimeter = 2 × (length + width) 50 cm = 2 × (15 cm + width) 50 cm = 30 cm + 2 × width 20 cm = 2 × width width = 10 cm
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13. Simplify: 5 + 4 × (7 – 2)
Simplify: 5 + 4 × (7 – 2) = 5 + 4 × 5 = 5 + 20 = 25
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14. Simplify: 3 + 4 × (2 – 1) = 3 + 4 × 1 = 3 + 4 = 7
Solve the equation: 6x – 5 = 43 Add 5 to both sides: 6x = 48 Divide both sides by 6: x = 8
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15. Evaluate: 2² + 5 × 3 – 6
Evaluate: 2² + 5 × 3 – 6 = 4 + 15 – 6 = 13
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16. Solve the equation: 3x + 6 = 33
Solve the equation: 3x + 6 = 33 Subtract 6 from both sides: 3x = 27 Divide both sides by 3: x = 9
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17. Solve the equation: 3/4x = 15
Solve the equation: 3/4x = 15 Multiply both sides by 4/3: x = 20
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18. Simplify: 8 + 2 × (3 – 1)
Simplify: 8 + 2 × (3 – 1) = 8 + 2 × 2 = 8 + 4 = 12
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19. Solve the equation: 4/5x = 12
Solve the equation: 4/5x = 12 Multiply both sides by 5/4: x = 15
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20. Simplify: 1/3 + 2/5
Simplify: 1/3 + 2/5 = 5/15 + 6/15 = 11/15
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21. Solve the equation: 4x – 7 = 33
Solve the equation: 4x – 7 = 33 Add 7 to both sides: 4x = 40 Divide both sides by 4: x = 10
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22. Calculate the area of a square with side length 7 cm.
Calculate the area of a square with side length 7 cm. Area = side length² = 7 cm × 7 cm = 49 cm²
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23. A bag contains 40 red marbles, 30 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 = 30 / (40 + 30 + 20) = 30/90 = 1/3
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24. Simplify: 1/8 + 3/4
Simplify: 1/8 + 3/4 = 1/8 + 6/8 = 7/8
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25. Calculate the volume of a rectangular prism with length 10 cm, width 5 cm, and height 7 cm.
Calculate the volume of a rectangular prism with length 10 cm, width 5 cm, and height 7 cm. Volume = length × width × height = 10 cm × 5 cm × 7 cm = 350 cm³
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