Weekly Mathematics Quiz -

Welcome to your Weekly Mathematics Quiz

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1. Which of the following is an empty set?

d) {null}

b) {1, 2, 3}

a) {0}

c) {}

None

2. The set of natural numbers is denoted by:

c) R

a) Z

d) Q

b) N

None

3. What is the cardinality of the set {2, 4, 6, 8}?

d) 5

b) 3

a) 2

c) 4

None

4. The union of sets A = {1, 2, 3} and B = {3, 4, 5} is:

b) {3}

d) {1, 2, 3, 5}

c) {1, 2, 4, 5}

a) {1, 2, 3, 4, 5}

None

5. What is the intersection of sets {1, 2, 3} and {3, 4, 5}?

b) {3}

c) {2, 3}

a) {1, 2, 4}

d) {4, 5}

None

6. What is the power set of {a, b}?

a) {{a, b}}

d) {{}, {a, b}}

b) {a, b}

c) {{}, {a}, {b}, {a, b}}

None

7. If A = {2, 4, 6} and B = {6, 8, 10}, then A ∩ B is:

a) {2, 4, 6}

c) {6, 8}

b) {6}

d) {2, 4}

None

8. The number of subsets of a set with 3 elements is:

d) 3

a) 6

c) 4

b) 8

None

9. Which of the following is a prime number?

a) 4

d) 9

c) 11

b) 6

None

10. What is the smallest prime number?

d) 3

c) 2

b) 1

a) 0

None

11. Factorize: x^2 - 9

d) ( (x - 1)(x + 9)

b) ( (x - 9)(x + 9)

c) ( (x + 3)(x - 9)

a) ( (x - 3)(x + 3)

None

12. Factorize: ( x^2 + 5x + 6 )

a) (x + 2)(x + 3)

b) (x - 2)(x + 6)

d) ( (x + 2)(x + 6)

c) ( (x + 3)(x - 6)

None

13. The factors of ( 12x^2 + 4x ) are:

c) x(12x + 4)

b) 3x(4x + 2)

a) 4x(3x + 1)

d) 2x(6x + 2)

None

14. What is the greatest common factor (GCF) of ( 12xy ) and ( 18x^2 )?

a) 6x

c) 18x

d) 3xy

b) 12xy

None

15. Factorize: ( x^2 - 16 )

c) (x - 16)(x + 1)

a) (x - 4)(x + 4)

b) (x - 8)(x + 2)

d) (x - 4)(x + 1)

None

16. The HCF of 48 and 60 is:

None

17. Find the LCM of 15 and 20:

d) 100

b) 30

a) 60

c) 40

None

18. The HCF of 24 and 36 is:

b) 6

a) 12

c) 18

d) 24

None

19. What is the LCM of 8, 12, and 16?

b) 48

a) 24

d) 144

c) 96

None

20. The least common multiple (LCM) of 7 and 9 is:

b) 63

c) 35

d) 45

a) 21

None

21. What is the sum of the first 10 natural numbers?

b) 55

a) 45

c) 60

d) 65

None

22. If ( x + 5 = 12 ), then ( x ) equals:

d) 9

b) 6

a) 5

c) 7

None

23. Solve: ( 3x - 5 = 10 )

a) ( x = 5 )

d) ( x = 7 )

b) ( x = 3 )

c) ( x = 6 )

None

24. The product of the two numbers is 72 and their HCF is 4. What is LCM?

c) 72

b) 36

d) 16

a) 18

None

25. Solve: ( 8x = 64)

a) ( x = 8 )

b) ( x = 16 )

c) ( x = 32 )

d) ( x = 4 )

None

26. If Ali bought 3 pencils for Rs. 12, how much would 5 pencils cost?

c) Rs. 20

b) Rs. 18

a) Rs. 15

d) Rs. 21

None

27. A car travels 150 km in 3 hours. What is the average speed?

c) 55 km/h

d) 60 km/h

b) 50 km/h

a) 45 km/h

None

28. If 5 workers can complete a job in 20 days, how long will it take 10 workers to complete the same job?

b) 20 days

c) 30 days

a) 10 days

d) 40 days

None

29. A man bought a book for Rs. 400 and sold it for Rs. 350. What is his loss percentage?

c) 15%

b) 12.5%

a) 10%

d) 20%

None

30. If 12 oranges cost Rs. 240, what is the cost of 5 oranges?

a) Rs. 80

d) Rs. 150

c) Rs. 120

b) Rs. 100

None

31. What is 20% of 200?

a) 20

b) 30

c) 40

d) 50

None

32. Increase Rs. 500 by 25%.

a) Rs. 525

d) Rs. 650

c) Rs. 575

b) Rs. 625

None

33. What percentage is 40 of 200?

b) 15%

c) 20%

a) 10%

d) 25%

None

34. A shirt is marked at Rs. 1000 and sold at a discount of 15%. What is the selling price?

c) Rs. 950

b) Rs. 850

d) Rs. 800

a) Rs. 750

None

35. If 60% of a number is 90, what is the number?

a) 120

b) 150

d) 160

c) 180

None

36. Find the square root of 144:

c) 12

a) 10

d) 13

b) 11

None

37. Solve: (6 × 8 + 3 ÷ 3)

a) 48

b) 50

c) 51

d) 52

None

38. Simplify: [18 – {3 (2 + 4)} ]

b) 15

d) 0

a) 18

c) 12

None

39. What is the cube root of 27?

a) 2

c) 4

b) 3

d) 9

None

40. Solve: ( 5x - 3 = 22)

d) ( x = 7)

a) ( x = 4 )

b) ( x = 5)

c) ( x = 6)

None

41. What is the sum of angles in a triangle?

d) 360°

a) 90°

c) 270°

b) 180°

None

42. If a rectangle has a length of 10 cm and a width of 5 cm, what is the area?

c) 60 cm²

b) 15 cm²

a) 50 cm²

d) 100 cm²

None

43. The perimeter of a square with side length 6 cm is:

a) 24 cm

c) 18 cm

b) 12 cm

d) 36 cm

None

44. Convert 0.75 to a fraction:

b) 1/4

c) 3/4

a) 1/3

d) 1/2

None

45. Which is greater, 3/5 or 4/7?

c) Both are equal

a) 3/5

b) 4/7

d) Cannot be compared

None

46. Simplify: ( 5x + 3x - 2)

c) ( 5x + 1)

b) ( 7x - 2)

d) ( 5x - 2 )

a) ( 8x - 2)

None

47. Which number is divisible by 9?

c) 65

b) 72

d) 74

a) 64

None

48. Simplify: { (x^2 + 2x + 1) ÷ (x + 1) }

a) ( x + 1)

d) ( x - 2 )

c) ( x + 2)

b) ( x - 1 )

None

49. If a box contains 3 red balls and 7 blue balls, what is the probability of drawing a blue ball?

d) 3/10

c) 1/10

a) 1/3

b) 7/10

None

50. Find the value of \( 3^2 - 4 \times 2 \)

b) 9

c) 5

a) 1

d) 2

None

1 out of 50

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