Grade 6 -Math – LS
Set 5 – Grade 6 (Math)
Dear ! This is Set 5 – Grade 6 (Math) Quiz and it contains 20 questions.
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1. What is the value of 3 × (8 + 2)?
3 × (8 + 2) = 3 × 10 = 30
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2. A bag contains 20 red marbles and 15 blue marbles. What is the probability of drawing a blue marble from the bag?
A bag contains 20 red marbles and 15 blue 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 / (20 + 15) = 15/35 = 3/7
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3. Solve the equation: 3/4(x + 2) = 9.
3/4(x + 2) = 9 Multiply both sides by 4/3: x + 2 = 12/3 Simplify: x + 2 = 4 Subtract 2 from both sides: x = 4 – 2 = 2
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4. Simplify: 5 + 3 × (6 – 2)
Simplify: 5 + 3 × (6 – 2) = 5 + 3 × 4 = 5 + 12 = 17
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5. Solve the equation: 4x + 7 = 31.
4x + 7 = 31 Subtract 7 from both sides: 4x = 24 Divide both sides by 4: x = 6
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6. Solve the equation: 3/4x = 12
Solve the equation: 3/4x = 12 Multiply both sides by 4/3: x = 16
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7. Calculate the area of a triangle with base 10 cm and height 8 cm.
Calculate the area of a triangle with base 10 cm and height 8 cm. Area = (1/2) × base × height = (1/2) × 10 cm × 8 cm = 40 cm²
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8. Solve the equation: 2x + 5 = 19
Solve the equation: 2x + 5 = 19 Subtract 5 from both sides: 2x = 14 Divide both sides by 2: x = 7
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9. Calculate the perimeter of a rectangle with length 12 cm and width 7 cm.
Calculate the perimeter of a rectangle with length 12 cm and width 7 cm. Perimeter = 2 × (length + width) = 2 × (12 cm + 7 cm) = 2 × 19 cm = 38 cm
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10. If a cube has an edge length of 5 cm, what is its volume?
If a cube has an edge length of 5 cm, what is its volume? Volume = edge length³ = 5 cm × 5 cm × 5 cm = 125 cm³
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11. Simplify the expression: 5 + 2 × (6 – 3).
5 + 2 × (6 – 3) = 5 + 2 × 3 = 5 + 6 = 11
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12. Simplify the fraction: 12/15.
Simplified fraction: 12/15 = 4/5 (divide both numerator and denominator by their greatest common divisor, which is 3)
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13. Calculate the area of a rectangle with length 8 cm and width 5 cm.
Area = length × width = 8 cm × 5 cm = 40 cm²
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14. A bag contains 15 red marbles and 10 blue 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 = 15 / (15 + 10) = 15/25 = 3/5
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15. A pizza is divided into 8 equal slices. If 3/4 of the pizza is eaten, how many slices are left?
Total slices of pizza = 8 Remaining slices = (1 – 3/4) × 8 = (1/4) × 8 = 2 Therefore, there are 2 slices left.
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16. Solve the equation: 3(x + 5) = 42
Solve the equation: 3(x + 5) = 42 Distribute the 3: 3x + 15 = 42 Subtract 15 from both sides: 3x = 27 Divide both sides by 3: x = 9
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17. Simplify: 2/3 + 1/4
Simplify: 2/3 + 1/4 = 8/12 + 3/12 = 11/12
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18. Find the value of x in the equation: 2/5 x = 10.
2/5 x = 10 Multiply both sides by 5/2: x = 25
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19. Calculate the perimeter of a square with a side length of 6 cm.
Perimeter = 4 × side length = 4 × 6 cm = 24 cm
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20. Evaluate: 4² + 3 × 2 – 5
Evaluate: 4² + 3 × 2 – 5 = 16 + 6 – 5 = 17
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