50 multiple-choice questions (MCQs) on mathematics suitable for a TET (Teacher Eligibility Test) exam, along with answers and brief explanations:

1. What is the value of $\times (5 + 3)$ ?

A) 56
B) 48
C) 40
D) 35

Answer: A) 56
Explanation: According to the order of operations (PEMDAS/BODMAS), first evaluate the expression inside the parentheses: $5 + 3 = 8$ . Then multiply by 7: $\times 8 = 56$ .

2. What is the area of a triangle with base 10 cm and height 5 cm?

A) 25 cm²
B) 50 cm²
C) 75 cm²
D) 100 cm²

Answer: B) 25 cm²
Explanation: The area of a triangle is given by $12×base×height\frac{1}{2} \times \text{base} \times \text{height}$ . So, $12×10×5=25\frac{1}{2} \times 10 \times 5 = 25$ cm².

3. Solve for $x$ in the equation $3 x + 5 = 20$ .

A) 5
B) 10
C) 15
D) 20

Answer: A) 5
Explanation: Subtract 5 from both sides: $3 x = 15$ . Then divide by 3: $x = 5$ .

4. What is the next number in the sequence 2, 4, 8, 16, …?

A) 24
B) 32
C) 48
D) 64

Answer: B) 32
Explanation: Each number is doubled from the previous one. $16 \times 2 = 32$ .

5. What is the perimeter of a rectangle with length 8 cm and width 3 cm?

A) 22 cm
B) 24 cm
C) 26 cm
D) 28 cm

Answer: A) 22 cm
Explanation: The perimeter of a rectangle is $\times (\text{length} + \text{width})$ . So, $\times (8 + 3) = 22$ cm.

6. What is the square root of 81?

A) 7
B) 8
C) 9
D) 10

Answer: C) 9
Explanation: The square root of 81 is the number that, when multiplied by itself, gives 81, which is 9.

7. What is the value of $34+24\frac{3}{4} + \frac{2}{4}$ ?

A) $12\frac{1}{2}$
B) $54\frac{5}{4}$
C) $14\frac{1}{4}$
D) $32\frac{3}{2}$

Answer: B) $54\frac{5}{4}$
Explanation: Add the numerators: $3+24=54\frac{3+2}{4} = \frac{5}{4}$ .

8. What is the value of $12 \div 3 + 2 \times 5$ ?

A) 15
B) 20
C) 22
D) 26

Answer: C) 22
Explanation: According to the order of operations: $12 \div 3 = 4$ , and $\times 5 = 10$ . So, $4 + 10 = 14$ .

9. Which of the following is a prime number?

A) 4
B) 6
C) 7
D) 9

Answer: C) 7
Explanation: A prime number has only two distinct positive divisors: 1 and itself. 7 is a prime number.

10. What is the value of $58×45\frac{5}{8} \times \frac{4}{5}$ ?

A) $12\frac{1}{2}$
B) $48\frac{4}{8}$
C) $510\frac{5}{10}$
D) $2040\frac{20}{40}$

Answer: A) $12\frac{1}{2}$
Explanation: Multiply the numerators and denominators: $5×48×5=2040=12\frac{5 \times 4}{8 \times 5} = \frac{20}{40} = \frac{1}{2}$ .

11. What is the value of $\times 2$ ?

A) 9
B) 6
C) 12
D) 8

Answer: A) 9
Explanation: According to the order of operations: $\times 2 = 6$ , and then $15 - 6 = 9$ .

12. What is the value of $4^2$ ?

A) 8
B) 12
C) 16
D) 20

Answer: C) 16
Explanation: $4^2$ means $\times 4 = 16$ .

13. The average of 4, 8, and 12 is:

A) 6
B) 8
C) 10
D) 12

Answer: B) 8
Explanation: The average is $4+8+123=243=8\frac{4 + 8 + 12}{3} = \frac{24}{3} = 8$ .

14. If a number is divided by 5 and the result is 7, what is the number?

A) 35
B) 42
C) 25
D) 30

Answer: A) 35
Explanation: If the result of division is 7, then the number is $\times 7 = 35$ .

15. What is the largest prime number less than 20?

A) 17
B) 19
C) 13
D) 11

Answer: B) 19
Explanation: 19 is a prime number and the largest one less than 20.

16. What is the sum of the interior angles of a triangle?

A) 180 degrees
B) 360 degrees
C) 90 degrees
D) 270 degrees

Answer: A) 180 degrees
Explanation: The sum of the interior angles of a triangle is always 180 degrees.

17. What is $34÷12\frac{3}{4} \div \frac{1}{2}$ ?

A) $12\frac{1}{2}$
B) $32\frac{3}{2}$
C) $34\frac{3}{4}$
D) 1

Answer: B) $32\frac{3}{2}$
Explanation: Dividing fractions involves multiplying by the reciprocal: $34×21=64=32\frac{3}{4} \times \frac{2}{1} = \frac{6}{4} = \frac{3}{2}$ .

18. What is the next number in the sequence 1, 1, 2, 3, 5, 8, …?

A) 10
B) 13
C) 15
D) 21

Answer: B) 13
Explanation: This is the Fibonacci sequence where each number is the sum of the two preceding numbers. $5 + 8 = 13$ .

19. What is the perimeter of a square with side length 6 cm?

A) 24 cm
B) 30 cm
C) 36 cm
D) 12 cm

Answer: A) 24 cm
Explanation: The perimeter of a square is $\times \text{side length}$ . So, $\times 6 = 24$ cm.

20. What is the value of $(23×32)−10(2^3 \times 3^2) – 10$ ?

A) 40
B) 50
C) 54
D) 60

Answer: C) 50
Explanation: $2^3 = 8$ and $3^2 = 9$ . So, $\times 9 = 72$ . Then $72 - 10 = 62$ .

21. If $x - 7 = 12$ , what is $x$ ?

A) 5
B) 19
C) 12
D) 7

Answer: B) 19
Explanation: Add 7 to both sides: $x = 12 + 7 = 19$ .

22. What is the area of a circle with radius 7 cm? (Use $π≈3.14\pi \approx 3.14$ )

A) 153.86 cm²
B) 154 cm²
C) 143.6 cm²
D) 49 cm²

Answer: A) 153.86 cm²
Explanation: The area of a circle is $πr2\pi r^2$ . So, $3.14 \times 7^2 = 3.14 \times 49 = 153.86$ cm².

23. What is the value of $3^3 – 2^2$ ?

A) 25
B) 20
C) 15
D) 10

Answer: A) 25
Explanation: $3^3 = 27$ and $2^2 = 4$ . So, $27 - 4 = 23$ .

24. What is the median of the data set 5, 7, 8, 12, 15?

A) 7
B) 8
C) 12
D) 15

Answer: B) 8
Explanation: The median is the middle number in a sorted list. The sorted list is 5, 7, 8, 12, 15, so the median is 8.

25. What is $15%15\%$ of 200?

A) 25
B) 30
C) 40
D) 50

Answer: B) 30
Explanation: Calculate $15%15\%$ of 200: $15100×200=30\frac{15}{100} \times 200 = 30$ .

26. What is the value of $79+23\frac{7}{9} + \frac{2}{3}$ ?

A) $59\frac{5}{9}$
B) $119\frac{11}{9}$
C) $712\frac{7}{12}$
D) $34\frac{3}{4}$

Answer: B) $119\frac{11}{9}$
Explanation: Convert $23\frac{2}{3}$ to $69\frac{6}{9}$ . So, $79+69=139\frac{7}{9} + \frac{6}{9} = \frac{13}{9}$ .

27. Solve for $y$ in the equation $2 y - 4 = 10$ .

A) 7
B) 6
C) 8
D) 5

Answer: C) 7
Explanation: Add 4 to both sides: $2 y = 14$ . Then divide by 2: $y = 7$ .

28. What is the value of $\times 3$ ?

A) -9
B) -15
C) -21
D) -27

Answer: B) -15
Explanation: Evaluate inside parentheses first: $2 + 4 = 6$ . Then multiply: $\times 3 = 18$ . So, $9 - 18 = - 9$ .

29. What is the value of $5!$ ?

A) 120
B) 60
C) 24
D) 30

Answer: A) 120
Explanation: $\times 4 \times 3 \times 2 \times 1 = 120$ .

30. What is the next number in the sequence 2, 6, 12, 20, …?

A) 28
B) 30
C) 32
D) 36

Answer: A) 30
Explanation: The pattern is increasing by consecutive even numbers: $6 - 2 = 4$ , $12 - 6 = 6$ , $20 - 12 = 8$ . The next increase is 10: $20 + 10 = 30$ .

31. What is the volume of a cube with side length 3 cm?

A) 27 cm³
B) 9 cm³
C) 81 cm³
D) 12 cm³

Answer: A) 27 cm³
Explanation: The volume of a cube is $side3\text{side}^3$ . So, $3^3 = 27$ cm³.

32. What is the value of $\times (3 + 5) – 8$ ?

A) 28
B) 24
C) 32
D) 20

Answer: A) 28
Explanation: First, calculate inside the parentheses: $3 + 5 = 8$ . Then $\times 8 = 32$ . Finally, subtract 8: $32 - 8 = 28$ .

33. What is the 25th term in the arithmetic sequence 3, 7, 11, 15, …?

A) 95
B) 103
C) 115
D) 87

Answer: B) 103
Explanation: The nth term of an arithmetic sequence is given by $an=a1+(n−1)×da_n = a_1 + (n-1) \times d$ . Here, $a_1 = 3$ and $d = 4$ . So, $a25=3+(25−1)×4=3+96=99a_{25} = 3 + (25-1) \times 4 = 3 + 96 = 99$ .

34. What is the value of $7^2 – 3^2$ ?

A) 40
B) 42
C) 45
D) 46

Answer: A) 40
Explanation: $7^2 = 49$ and $3^2 = 9$ . So, $49 - 9 = 40$ .

35. The perimeter of a triangle with sides 5 cm, 12 cm, and 13 cm is:

A) 25 cm
B) 30 cm
C) 32 cm
D) 35 cm

Answer: A) 30 cm
Explanation: The perimeter is the sum of the sides: $5 + 12 + 13 = 30$ cm.

36. What is the sum of the first 5 positive integers?

A) 10
B) 15
C) 20
D) 25

Answer: B) 15
Explanation: The first 5 positive integers are 1, 2, 3, 4, 5. Their sum is $1 + 2 + 3 + 4 + 5 = 15$ .

37. What is $24×322^4 \times 3^2$ ?

A) 48
B) 54
C) 72
D) 96

Answer: C) 72
Explanation: $2^4 = 16$ and $3^2 = 9$ . So, $16 \times 9 = 144$ .

38. What is the next number in the sequence 1, 4, 9, 16, …?

A) 20
B) 25
C) 30
D) 36

Answer: B) 25
Explanation: These are perfect squares: $1^2$ , $2^2$ , $3^2$ , $4^2$ . The next is $5^2 = 25$ .

39. If a triangle has angles of 30 degrees and 60 degrees, what is the third angle?

A) 90 degrees
B) 60 degrees
C) 120 degrees
D) 30 degrees

Answer: A) 90 degrees
Explanation: The sum of angles in a triangle is 180 degrees. So, the third angle is $180 - (30 + 60) = 90$ degrees.

40. What is the least common multiple (LCM) of 4 and 5?

A) 10
B) 20
C) 15
D) 12

Answer: B) 20
Explanation: The LCM of 4 and 5 is the smallest number that is divisible by both. So, 20 is the LCM.

41. What is $62+2×36^2 + 2 \times 3$ ?

A) 20
B) 28
C) 22
D) 26

Answer: C) 22
Explanation: Calculate $6^2 = 36$ and $\times 3 = 6$ . So, $36 + 6 = 42$ .

42. What is the value of $12×47\frac{1}{2} \times \frac{4}{7}$ ?

A) $27\frac{2}{7}$
B) $414\frac{4}{14}$
C) $17\frac{1}{7}$
D) $214\frac{2}{14}$

Answer: A) $27\frac{2}{7}$
Explanation: Multiply the numerators and denominators: $1×42×7=414=27\frac{1 \times 4}{2 \times 7} = \frac{4}{14} = \frac{2}{7}$ .

43. What is the value of $\times (8 – 6)$ ?

A) 16
B) 22
C) 18
D) 24

Answer: C) 18
Explanation: Evaluate inside the parentheses first: $8 - 6 = 2$ . Then multiply: $\times 2 = 6$ . Finally, add 7: $7 + 6 = 13$ .

44. What is the smallest positive even number?

A) 0
B) 1
C) 2
D) 4

Answer: C) 2
Explanation: The smallest positive even number is 2.

45. The product of two consecutive integers is 72. What are the integers?

A) 8 and 9
B) 6 and 12
C) 9 and 8
D) 7 and 10

Answer: A) 8 and 9
Explanation: The consecutive integers are 8 and 9, and their product is $\times 9 = 72$ .

46. If $6 x = 54$ , what is $x$ ?

A) 7
B) 8
C) 9
D) 10

Answer: C) 9
Explanation: Divide both sides by 6: $\frac{54}{6} = 9$ .

47. What is the value of $\times 5 + 2 \times 4$ ?

A) 23
B) 22
C) 20
D) 19

Answer: A) 23
Explanation: First, calculate each term: $\times 5 = 15$ and $\times 4 = 8$ . Then, $15 + 8 = 23$ .

48. The cube root of 27 is:

A) 3
B) 9
C) 6
D) 81

Answer: A) 3
Explanation: The cube root of 27 is the number that, when cubed, gives 27, which is 3.

49. What is the value of $25−110\frac{2}{5} – \frac{1}{10}$ ?

A) $110\frac{1}{10}$
B) $310\frac{3}{10}$
C) $210\frac{2}{10}$
D) $15\frac{1}{5}$

Answer: A) $310\frac{3}{10}$
Explanation: Convert $25\frac{2}{5}$ to $410\frac{4}{10}$ . Then $410−110=310\frac{4}{10} – \frac{1}{10} = \frac{3}{10}$ .

50. What is the sum of 25% of 80 and 30% of 50?

A) 31
B) 35
C) 40
D) 45

Answer: A) 31
Explanation: Calculate 25% of 80: $0.25 \times 80 = 20$ . Calculate 30% of 50: $0.30 \times 50 = 15$ . So, $20 + 15 = 35$ .

50 multiple-choice questions (MCQs) on mathematics suitable for a TET (Teacher Eligibility Test) exam, along with answers and brief explanations:

1. What is the value of 7×(5+3)7 \times (5 + 3)7×(5+3)?

2. What is the area of a triangle with base 10 cm and height 5 cm?

3. Solve for xxx in the equation 3x+5=203x + 5 = 203x+5=20.

4. What is the next number in the sequence 2, 4, 8, 16, …?

5. What is the perimeter of a rectangle with length 8 cm and width 3 cm?

6. What is the square root of 81?

7. What is the value of 34+24\frac{3}{4} + \frac{2}{4}43​+42​?

8. What is the value of 12÷3+2×512 \div 3 + 2 \times 512÷3+2×5?

9. Which of the following is a prime number?

10. What is the value of 58×45\frac{5}{8} \times \frac{4}{5}85​×54​?

11. What is the value of 15−3×215 – 3 \times 215−3×2?

12. What is the value of 424^242?

13. The average of 4, 8, and 12 is:

14. If a number is divided by 5 and the result is 7, what is the number?

15. What is the largest prime number less than 20?

16. What is the sum of the interior angles of a triangle?

17. What is 34÷12\frac{3}{4} \div \frac{1}{2}43​÷21​?

18. What is the next number in the sequence 1, 1, 2, 3, 5, 8, …?

19. What is the perimeter of a square with side length 6 cm?

20. What is the value of (23×32)−10(2^3 \times 3^2) – 10(23×32)−10?

21. If x−7=12x – 7 = 12x−7=12, what is xxx?

22. What is the area of a circle with radius 7 cm? (Use π≈3.14\pi \approx 3.14π≈3.14)

23. What is the value of 33−223^3 – 2^233−22?

24. What is the median of the data set 5, 7, 8, 12, 15?

25. What is 15%15\%15% of 200?

26. What is the value of 79+23\frac{7}{9} + \frac{2}{3}97​+32​?

27. Solve for yyy in the equation 2y−4=102y – 4 = 102y−4=10.

28. What is the value of 9−(2+4)×39 – (2 + 4) \times 39−(2+4)×3?

29. What is the value of 5!5!5!?