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1000+ MCQs for Grade-6

Topic:

1: What is the smallest integer?
A) 0
B) 1
C) -1
D) -5
Answer: C) -1 Explanation: Integers include both positive and negative whole numbers. -1 is the smallest negative integer.

2: If you have a pizza divided into 8 equal slices and you eat 3 slices, what fraction of the pizza have you eaten?
A) 1/8
B) 3/8
C) 3/4
D) 5/8
Answer: B) 3/8 Explanation: You ate 3 out of 8 slices.

3: If you have $5.25 and spend $2.50, how much money do you have left?
A) $3.75
B) $2.75
C) $5.75
D) $2.25
Answer: A) $3.75 Explanation: Subtract the amount spent from the initial amount: $5.25 - $2.50 = $3.75.

4: What is data?
A) Numbers
B) Information
C) Letters
D) Colors
Answer: B) Information Explanation: Data refers to information or facts that are collected for analysis.

5: 1. The length of a rectangle is 12 cm, and the width is 5 cm. What is its area?
A) 17 sq cm
B) 45 sq cm
C) 60 sq cm
D) 72 sq cm
Answer: C) 60 sq cm Explanation: Area of a rectangle = length × width = 12 cm × 5 cm = 60 sq cm.

6: 1. A recipe calls for 2 cups of flour and 3 cups of sugar. If you want to make it for 6 people, how many cups of sugar do you need?
A. 6 cups
B. 8 cups
C. 9 cups
D. 12 cups
Answer: C. 9 cups Explanation: The ratio of flour to sugar is 2:3. For 6 people, you need to multiply the sugar amount by 6/2 = 3. Therefore, 3 * 3 cups of sugar = 9 cups.

7: What is the successor of 456?
A) 457
B) 455
C) 456
D) 460
Answer: A) 457 Explanation: The successor of a number is the next number in the sequence. Therefore, the successor of 456 is 456 + 1 = 457.

8: 1. What is the smallest whole number?
A. 0
B. 1
C. 2
D. -1
Answer: A. 0

9: 1. What is the definition of a point in geometry?
a) A line with two endpoints
b) A specific location in space
c) A flat surface
d) A closed figure
Answer: b) A specific location in space

10: What is the sum of -3 and 8?
A) 11
B) 5
C) -5
D) -11
Answer: A) 11 Explanation: (-3) + 8 = 5

11: What is the mixed number for the fraction 7/3?
A) 2 1/3
B) 3 1/7
C) 2 3/7
D) 1 2/3
Answer: A) 2 1/3 Explanation: Divide 7 by 3 to get the whole number and the remainder as the numerator.

12: If a box contains 3.6 kg of apples and you take out 1.2 kg, how much weight remains?
A) 2.4 kg
B) 1.8 kg
C) 4.8 kg
D) 3 kg
Answer: A) 2.4 kg Explanation: Subtract the weight taken out from the initial weight: 3.6 kg - 1.2 kg = 2.4 kg.

13: Which of the following is not a type of data?
A) Numerical
B) Categorical
C) Graphical
D) Alphabetical
Answer: C) Graphical Explanation: Graphical is a representation format, not a type of data.

14: 2. If the perimeter of a square is 20 cm, what is the length of each side?
A) 4 cm
B) 5 cm
C) 6 cm
D) 8 cm
Answer: A) 4 cm Explanation: Perimeter of a square = 4 × side, so side = perimeter / 4 = 20 / 4 = 4 cm.

15: 2. The ratio of boys to girls in a classroom is 3:4. If there are 28 students in total, how many girls are there?
A. 12
B. 14
C. 16
D. 18
Answer: C. 16 Explanation: The total ratio parts are 3 + 4 = 7. Girls represent 4 out of 7 parts. Therefore, the number of girls is (4/7) * 28 = 16.

16: Which is the smallest 3-digit number?
A) 100
B) 200
C) 300
D) 400
Answer: A) 100 Explanation: The smallest 3-digit number starts with the digit 1.

17: 2. Which of the following is not a whole number?
A. 4
B. -3
C. 1.5
D. 0
Answer: C. 1.5

18: 2. Which of the following is an example of a line segment?
a) Ray
b) Line
c) Line segment
d) None of the above
Answer: c) Line segment

19: Which of the following is a negative integer?
A) 10
B) -7
C) 3
D) 0
Answer: B) -7 Explanation: Negative integers have a "-" sign.

20: If you have a ribbon of length 15 cm and you cut it into 5 equal pieces, what is the length of each piece?
A) 2.5 cm
B) 3 cm
C) 5 cm
D) 4 cm
Answer: B) 3 cm Explanation: 15 cm / 5 = 3 cm

21: If a bookshelf has 2.75 meters of available space and you place a book that is 1.5 meters wide, how much space is left?
A) 1.25 meters
B) 1.5 meters
C) 1.75 meters
D) 0.75 meters
Answer: D) 0.75 meters Explanation: Subtract the width of the book from the available space: 2.75 meters - 1.5 meters = 0.75 meters.

22: What is the mode of the following data set: 5, 3, 5, 8, 2, 5, 1, 3?
A) 5
B) 3
C) 2
D) 8
Answer: A) 5 Explanation: Mode is the value that appears most frequently. In this case, 5 appears three times.

23: 3. The base of a triangle is 9 cm, and its height is 6 cm. What is its area?
A) 15 sq cm
B) 27 sq cm
C) 36 sq cm
D) 54 sq cm
Answer: C) 36 sq cm Explanation: Area of a triangle = (base × height) / 2 = (9 cm × 6 cm) / 2 = 54 / 2 = 36 sq cm.

24: 3. If the ratio of the lengths of two ropes is 5:7, and the shorter rope is 15 meters long, what is the length of the longer rope?
A. 21 meters
B. 25 meters
C. 28 meters
D. 35 meters
Answer: C. 28 meters Explanation: Let the length of the longer rope be 'L'. The ratio is given as 5:7. Setting up the proportion, we get 5/7 = 15/L. Solving for 'L', we find L = 21. Therefore, the length of the longer rope is 21 meters.

25: What is the place value of 7 in the number 879?
A) 70
B) 7
C) 700
D) 7,000
Answer: C) 700 Explanation: The place value of 7 in the number 879 is 7 * 100 = 700.

26: 3. What is the successor of 89?
A. 88
B. 90
C. 91
D. 92
Answer: C. 91

27: 3. How many sides does a hexagon have?
a) 4
b) 6
c) 8
d) 10
Answer: b) 6

28: What is the product of -4 and 6?
A) -24
B) 24
C) -10
D) 10
Answer: A) -24 Explanation: (-4) * 6 = -24

29: If you have 4/5 of a chocolate bar and you share it equally among 2 friends, what fraction of the chocolate does each friend get?
A) 1/5
B) 2/5
C) 3/5
D) 4/5
Answer: C) 3/5 Explanation: Divide 4/5 by 2.

30: If you buy 2.5 liters of milk and drink 0.75 liters, how much milk do you have left?
A) 1.25 liters
B) 1.75 liters
C) 1.5 liters
D) 1.25 liters
Answer: C) 1.75 liters Explanation: Subtract the amount consumed from the initial amount: 2.5 liters - 0.75 liters = 1.75 liters.

31: Which measure of central tendency is affected by outliers?
A) Mean
B) Median
C) Mode
D) Range
Answer: A) Mean Explanation: Mean is sensitive to extreme values, so outliers can greatly affect it.

32: 4. Find the circumference of a circle with a radius of 7 cm.
A) 14 cm
B) 22 cm
C) 44 cm
D) 154 cm
Answer: B) 22 cm Explanation: Circumference of a circle = 2 × π × radius = 2 × 3.14 × 7 ≈ 43.96 cm ≈ 22 cm (rounded off).

33: 4. The ratio of the prices of two books is 2:5. If the cheaper book costs $10, what is the cost of the more expensive book?
A. $15
B. $20
C. $25
D. $30
Answer: C. $25 Explanation: Let the cost of the more expensive book be 'E'. The ratio is given as 2:5. Setting up the proportion, we get 2/5 = $10/E. Solving for 'E', we find E = $25.

34: Which of the following is an odd number?
A) 24
B) 51
C) 42
D) 36
Answer: B) 51 Explanation: Odd numbers are those that cannot be divided evenly by 2.

35: 4. Which of the following is the largest whole number?
A. 1000
B. 999
C. 10000
D. 100000
Answer: D. 100000

36: 4. What is the sum of angles in a triangle?
a) 90 degrees
b) 180 degrees
c) 270 degrees
d) 360 degrees
Answer: b) 180 degrees

37: Which of the following is an example of an integer?
A) 1/2
B) √9
C) -10
D) 0.5
Answer: C) -10 Explanation: Integers are whole numbers, including negatives.

38: If you have a jar with 12 marbles and 3/4 of them are blue, how many marbles are blue?
A) 6
B) 9
C) 3
D) 12
Answer: B) 9 Explanation: 3/4 of 12 is (3/4) * 12 = 9.

39: If a piece of ribbon is 3.8 meters long and you cut off 2.1 meters, how much ribbon is remaining?
A) 1.7 meters
B) 2.7 meters
C) 1.1 meters
D) 1.9 meters
Answer: A) 1.7 meters Explanation: Subtract the length cut off from the initial length: 3.8 meters - 2.1 meters = 1.7 meters.

40: In a survey, students were asked about their favorite color. What type of data is this?
A) Numerical
B) Categorical
C) Graphical
D) Alphabetical
Answer: B) Categorical Explanation: Favorite colors represent categories, making it categorical data.

41: 5. The volume of a cube is 125 cubic cm. What is the length of each side?
A) 3 cm
B) 5 cm
C) 7 cm
D) 11 cm
Answer: A) 3 cm Explanation: Since volume of a cube = side^3, then side = ∛(volume) = ∛(125) = 5.

42: 5. A rectangle has a length to width ratio of 3:2. If the width is 8 meters, what is the length of the rectangle?
A. 10 meters
B. 12 meters
C. 15 meters
D. 18 meters
Answer: B. 12 meters Explanation: Let the length be 'L'. The ratio of length to width is given as 3:2. Setting up the proportion, we get 3/2 = L/8. Solving for 'L', we find L = 12. Therefore, the length of the rectangle is 12 meters.

43: What is the sum of the first 50 natural numbers?
A) 1250
B) 1275
C) 1225
D) 1300
Answer: B) 1275 Explanation: The sum of the first n natural numbers is given by the formula n * (n + 1) / 2.

44: 5. What is the sum of the first 20 whole numbers?
A. 190
B. 210
C. 220
D. 230
Answer: C. 220

45: 5. Which type of angle measures exactly 90 degrees?
a) Acute angle
b) Obtuse angle
c) Right angle
d) Reflex angle
Answer: c) Right angle

46: What is the additive inverse of -15?
A) 15
B) -15
C) 0
D) -30
Answer: A) 15 Explanation: The additive inverse of any number "a" is (-a).

47: If a rectangle is divided into 6 equal parts and 4 parts are shaded, what is the fraction of the rectangle that is shaded?
A) 1/6
B) 2/3
C) 4/6
D) 3/6
Answer: D) 3/6 Explanation: 4 out of 6 parts are shaded.

48: If a car travels 45.6 km and then drives an additional 20.3 km, what is the total distance covered?
A) 65.9 km
B) 25.3 km
C) 55.6 km
D) 65.6 km
Answer: A) 65.9 km Explanation: Add the two distances: 45.6 km + 20.3 km = 65.9 km.

49: How many degrees are there in a complete circle?
A) 90
B) 180
C) 360
D) 45
Answer: C) 360 Explanation: A circle is divided into 360 degrees.

50: 6. A cylinder has a height of 10 cm and a radius of 4 cm. What is its volume?
A) 80 π cubic cm
B) 160 π cubic cm
C) 320 π cubic cm
D) 640 π cubic cm
Answer: B) 160 π cubic cm Explanation: Volume of a cylinder = π × radius^2 × height = 3.14 × 4^2 × 10 = 160 π cubic cm.

51: 6. If the ratio of the number of red balls to blue balls in a bag is 3:4, and there are 28 blue balls, how many red balls are there?
A. 18
B. 21
C. 24
D. 27
Answer: A. 18 Explanation: The total ratio parts are 3 + 4 = 7. Red balls represent 3 out of 7 parts. Therefore, the number of red balls is (3/7) * 28 = 12.

52: Which is the greatest 4-digit number?
A) 9999
B) 9000
C) 1000
D) 9500
Answer: A) 9999 Explanation: The greatest 4-digit number is formed with the digits 9, 9, 9, and 9.

53: 6. Which of the following is an odd whole number?
A. 14
B. 25
C. 32
D. 40
Answer: B. 25

54: 6. What is the name of a polygon with 5 sides?
a) Hexagon
b) Pentagon
c) Octagon
d) Quadrilateral
Answer: b) Pentagon

55: What is the difference between -5 and 3?
A) -8
B) 8
C) -2
D) 2
Answer: A) -8 Explanation: (-5) - 3 = -8

56: If you walk 2/3 of a kilometer and then run 1/4 of a kilometer, how far have you traveled in total?
A) 5/12 km
B) 1 km
C) 7/12 km
D) 2/3 km
Answer: C) 7/12 km Explanation: Add the distances: 2/3 + 1/4 = 7/12.

57: If a jar is filled with 1.25 liters of juice and you pour out 0.5 liters, how much juice remains in the jar?
A) 0.75 liters
B) 1.75 liters
C) 0.25 liters
D) 1.5 liters
Answer: A) 0.75 liters Explanation: Subtract the poured-out amount from the initial amount: 1.25 liters - 0.5 liters = 0.75 liters.

58: If the average of three numbers is 15, and two of them are 10 and 20, what is the third number?
A) 15
B) 25
C) 30
D) 35
Answer: A) 15 Explanation: The sum of the three numbers is 45 (15 * 3), and the third number is 15.

59: 7. The diagonal of a rectangle is 13 cm, and the length is 5 cm. What is its width?
A) 12 cm
B) 8 cm
C) 10 cm
D) 15 cm
Answer: B) 8 cm Explanation: Using the Pythagorean Theorem, width = √(diagonal^2 - length^2) = √(13^2 - 5^2) = √(169 - 25) = √144 = 12 cm.

60: 7. A watermelon is cut into 12 equal pieces. If the ratio of the number of red pieces to green pieces is 2:3, how many green pieces are there?
A. 5
B. 6
C. 7
D. 8
Answer: C. 7 Explanation: The total ratio parts are 2 + 3 = 5. Green pieces represent 3 out of 5 parts. Therefore, the number of green pieces is (3/5) * 12 = 7.

61: What is the product of 324 and 5?
A) 1620
B) 1540
C) 1625
D) 1610
Answer: A) 1620 Explanation: The product of two numbers is the result of multiplying them.

62: 7. What is the product of 7 and 9?
A. 56
B. 63
C. 72
D. 81
Answer: B. 63

63: 7. If two angles add up to 180 degrees, what are they called?
a) Complementary angles
b) Supplementary angles
c) Opposite angles
d) Vertical angles
Answer: b) Supplementary angles

64: Which of the following is the largest negative integer?
A) -10
B) -1
C) -100
D) -50
Answer: C) -100 Explanation: Larger magnitude in negatives means smaller number.

65: If a water tank is filled with 9/10 liters of water, how much water is left when 2/5 liters are taken out?
A) 7/10 liters
B) 5/10 liters
C) 4/10 liters
D) 3/10 liters
Answer: D) 3/10 liters Explanation: Subtract 2/5 from 9/10.

66: If a pencil is 0.6 meters long and you break off 0.3 meters, how long is the remaining piece?
A) 0.9 meters
B) 0.3 meters
C) 0.6 meters
D) 0.4 meters
Answer: D) 0.4 meters Explanation: Subtract the broken-off length from the initial length: 0.6 meters - 0.3 meters = 0.4 meters.

67: What is the range of the data set: 8, 3, 12, 6, 10?
A) 9
B) 8
C) 12
D) 7
Answer: A) 9 Explanation: Range is the difference between the maximum and minimum values. Here, it's 12 - 3 = 9.

68: 8. Find the area of a trapezoid with bases 6 cm and 9 cm, and height 8 cm.
A) 60 sq cm
B) 72 sq cm
C) 84 sq cm
D) 96 sq cm
Answer: B) 72 sq cm Explanation: Area of a trapezoid = (1/2) × (sum of bases) × height = (1/2) × (6 cm + 9 cm) × 8 cm = 72 sq cm.

69: 8. If the ratio of the number of pens to pencils in a box is 4:7, and there are 28 pencils, how many pens are there?
A. 12
B. 14
C. 16
D. 18
Answer: A. 12 Explanation: The total ratio parts are 4 + 7 = 11. Pens represent 4 out of 11 parts. Therefore, the number of pens is (4/11) * 28 = 12.

70: What is the difference between the greatest and the smallest 3-digit numbers?
A) 999
B) 900
C) 990
D) 1000
Answer: A) 999 Explanation: The greatest 3-digit number is 999, and the smallest is 100. The difference is 999 - 100 = 899.

71: 8. Which of the following is a prime number?
A. 16
B. 23
C. 30
D. 42
Answer: B. 23

72: 8. Which of the following is an example of a 3D shape?
a) Square
b) Circle
c) Sphere
d) Rectangle
Answer: c) Sphere

73: What is the result of (-7) * (-4)?
A) 28
B) -28
C) 35
D) -35
Answer: B) -28 Explanation: Two negatives make a positive.

74: If a rope is 15 meters long and you cut 1/3 of it, how long is the remaining rope?
A) 10 meters
B) 12 meters
C) 5 meters
D) 8 meters
Answer: B) 12 meters Explanation: 15 meters * (2/3) = 12 meters.

75: If a rectangle has an area of 8.4 square units and a length of 2 units, what is the width?
A) 4.2 units
B) 4 units
C) 6 units
D) 8.4 units
Answer: A) 4.2 units Explanation: Area = Length * Width; 8.4 = 2 * Width; Width = 8.4 / 2 = 4.2 units.

76: If the median of a data set is 18, what does this mean?
A) 18 is the most common value.
B) Half of the values are less than 18.
C) The range is 18.
D) The average is 18.
Answer: B) Half of the values are less than 18. Explanation: Median is the middle value when the data is ordered.

77: 9. The radius of a sphere is 5 cm. What is its volume?
A) 125 π cubic cm
B) 250 π cubic cm
C) 500 π cubic cm
D) 625 π cubic cm
Answer: A) 125 π cubic cm Explanation: Volume of a sphere = (4/3) × π × radius^3 = (4/3) × π × 5^3 = 125 π cubic cm.

78: 9. The ratio of the ages of two friends is 3:5. If the older friend is 25 years old, what is the age of the younger friend?
A. 12
B. 15
C. 18
D. 20
Answer: A. 12 Explanation: Let the age of the younger friend be 'Y'. The ratio is given as 3:5. Setting up the proportion, we get 3/5 = Y/25. Solving for 'Y', we find Y = 15. Therefore, the age of the younger friend is 15 years.

79: Which is the Roman numeral for 50?
A) L
B) X
C) C
D) V
Answer: A) L Explanation: L represents 50 in Roman numerals.

80: 9. What is the difference between 56 and 28?
A. 26
B. 28
C. 30
D. 32
Answer: D. 28

81: 9. How many vertices does a cube have?
a) 4
b) 6
c) 8
d) 12
Answer: c) 8

82: Which of the following is neither positive nor negative?
A) 0
B) -1
C) 10
D) -10
Answer: A) 0 Explanation: 0 is neither positive nor negative.

83: If a train travels 120 km and covers 3/4 of the distance, how many kilometers has it traveled?
A) 80 km
B) 90 km
C) 100 km
D) 110 km
Answer: A) 90 km Explanation: 120 km * (3/4) = 90 km.

84: If you have $12.50 and you want to share it equally among 5 friends, how much money does each friend get?
A) $2.50
B) $3.00
C) $2.25
D) $2.65
Answer: B) $2.50 Explanation: Divide the total amount by the number of friends: $12.50 / 5 = $2.50.

85: What is the mean of the data set: 4, 7, 10, 14, 18?
A) 10
B) 12.6
C) 14
D) 18
Answer: B) 12.6 Explanation: Mean is the sum of values divided by the number of values (4 + 7 + 10 + 14 + 18) / 5 = 53 / 5 = 10.6.

86: 10. If the base edge of a square pyramid is 6 cm, and its height is 9 cm, what is its volume?
A) 54 cubic cm
B) 81 cubic cm
C) 108 cubic cm
D) 216 cubic cm
Answer: C) 108 cubic cm Explanation: Volume of a square pyramid = (1/3) × base area × height = (1/3) × 6^2 × 9 = 108 cubic cm.

87: 10. The ratio of the prices of three books is 2:3:5. If the cheapest book costs $10, what is the cost of the most expensive book?
A. $20
B. $30
C. $40
D. $50
Answer: D. $50 Explanation: Let the cost of the most expensive book be 'E'. The ratio is given as 2:3:5. Setting up the proportion, we get 2/5 = $10/E. Solving for 'E', we find E = $25. Therefore, the cost of the most expensive book is $50.

88: What is the value of 4 in the number 3472?
A) 400
B) 40
C) 4
D) 4000
Answer: B) 40 Explanation: The value of 4 in the number 3472 is 4 * 10 = 40.

89: 10. If a whole number is divisible by 9, what is the sum of its digits?
A. 9
B. 18
C. 27
D. 36
Answer: A. 9

90: 10. What is the name of a triangle with three sides of different lengths?
a) Equilateral triangle
b) Isosceles triangle
c) Scalene triangle
d) Right-angled triangle
Answer: c) Scalene triangle

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