10 Important Short Answer Type Questions in Mathematics

Oct 13, 2025 by miodeya.com 100 views

10 Important Short Answer Type Questions in Mathematics

1. Express each of the following rational numbers in decimal form

(i) 8/45

To express the rational number 8/45 in decimal form, we need to divide the numerator (8) by the denominator (45).

8 ÷ 45 = 0.1778 (recurring)

So, the decimal form of 8/45 is 0.1778 (recurring).

(ii) 7/16

To express the rational number 7/16 in decimal form, we need to divide the numerator (7) by the denominator (16).

7 ÷ 16 = 0.4375

So, the decimal form of 7/16 is 0.4375.

(iii) 9/20

To express the rational number 9/20 in decimal form, we need to divide the numerator (9) by the denominator (20).

9 ÷ 20 = 0.45

So, the decimal form of 9/20 is 0.45.

(iv) 3/8

To express the rational number 3/8 in decimal form, we need to divide the numerator (3) by the denominator (8).

3 ÷ 8 = 0.375

So, the decimal form of 3/8 is 0.375.

(v) 2/9

To express the rational number 2/9 in decimal form, we need to divide the numerator (2) by the denominator (9).

2 ÷ 9 = 0.2222 (recurring)

So, the decimal form of 2/9 is 0.2222 (recurring).

(vi) 5/12

To express the rational number 5/12 in decimal form, we need to divide the numerator (5) by the denominator (12).

5 ÷ 12 = 0.4167

So, the decimal form of 5/12 is 0.4167.

(vii) 11/25

To express the rational number 11/25 in decimal form, we need to divide the numerator (11) by the denominator (25).

11 ÷ 25 = 0.44

So, the decimal form of 11/25 is 0.44.

(viii) 13/18

To express the rational number 13/18 in decimal form, we need to divide the numerator (13) by the denominator (18).

13 ÷ 18 = 0.7222 (recurring)

So, the decimal form of 13/18 is 0.7222 (recurring).

(ix) 15/32

To express the rational number 15/32 in decimal form, we need to divide the numerator (15) by the denominator (32).

15 ÷ 32 = 0.46875

So, the decimal form of 15/32 is 0.46875.

(x) 22/45

To express the rational number 22/45 in decimal form, we need to divide the numerator (22) by the denominator (45).

22 ÷ 45 = 0.4889 (recurring)

So, the decimal form of 22/45 is 0.4889 (recurring).

2. Find the value of x in the following equations

(i) 2x + 5 = 11

To find the value of x, we need to isolate x on one side of the equation.

2x + 5 = 11

Subtract 5 from both sides:

2x = 11 - 5 2x = 6

Divide both sides by 2:

x = 6 ÷ 2 x = 3

So, the value of x is 3.

(ii) x/4 = 3

To find the value of x, we need to isolate x on one side of the equation.

x/4 = 3

Multiply both sides by 4:

x = 3 × 4 x = 12

So, the value of x is 12.

(iii) 2x - 3 = 7

To find the value of x, we need to isolate x on one side of the equation.

2x - 3 = 7

Add 3 to both sides:

2x = 7 + 3 2x = 10

Divide both sides by 2:

x = 10 ÷ 2 x = 5

So, the value of x is 5.

(iv) x/3 = 2

To find the value of x, we need to isolate x on one side of the equation.

x/3 = 2

Multiply both sides by 3:

x = 2 × 3 x = 6

So, the value of x is 6.

(v) 3x + 2 = 14

To find the value of x, we need to isolate x on one side of the equation.

3x + 2 = 14

Subtract 2 from both sides:

3x = 14 - 2 3x = 12

Divide both sides by 3:

x = 12 ÷ 3 x = 4

So, the value of x is 4.

3. Find the value of y in the following equations

(i) y - 2 = 5

To find the value of y, we need to isolate y on one side of the equation.

y - 2 = 5

Add 2 to both sides:

y = 5 + 2 y = 7

So, the value of y is 7.

(ii) 2y + 3 = 9

To find the value of y, we need to isolate y on one side of the equation.

2y + 3 = 9

Subtract 3 from both sides:

2y = 9 - 3 2y = 6

Divide both sides by 2:

y = 6 ÷ 2 y = 3

So, the value of y is 3.

(iii) y/4 = 2

To find the value of y, we need to isolate y on one side of the equation.

y/4 = 2

Multiply both sides by 4:

y = 2 × 4 y = 8

So, the value of y is 8.

(iv) 3y - 2 = 11

To find the value of y, we need to isolate y on one side of the equation.

3y - 2 = 11

Add 2 to both sides:

3y = 11 + 2 3y = 13

Divide both sides by 3:

y = 13 ÷ 3 y = 4.33

So, the value of y is 4.33.

(v) y/2 = 3

To find the value of y, we need to isolate y on one side of the equation.

y/2 = 3

Multiply both sides by 2:

y = 3 × 2 y = 6

So, the value of y is 6.

4. Find the value of z in the following equations

(i) z + 2 = 7

To find the value of z, we need to isolate z on one side of the equation.

z + 2 = 7

Subtract 2 from both sides:

z = 7 - 2 z = 5

So, the value of z is 5.

(ii) 2z - 3 = 9

To find the value of z, we need to isolate z on one side of the equation.

2z - 3 = 9

Add 3 to both sides:

2z = 9 + 3 2z = 12

Divide both sides by 2:

z = 12 ÷ 2 z = 6

So, the value of z is 6.

(iii) z/4 = 2

To find the value of z, we need to isolate z on one side of the equation.

z/4 = 2

Multiply both sides by 4:

z = 2 × 4 z = 8

So, the value of z is 8.

(iv) 3z + 2 = 14

To find the value of z, we need to isolate z on one side of the equation.

3z + 2 = 14

Subtract 2 from both sides:

3z = 14 - 2 3z = 12

Divide both sides by 3:

z = 12 ÷ 3 z = 4

So, the value of z is 4.

(v) z/2 = 3

To find the value of z, we need to isolate z on one side of the equation.

z/2 = 3

Multiply both sides by 2:

z = 3 × 2 z = 6

So, the value of z is 6.

5. Find the value of a in the following equations

(i) a - 3 = 2

To find the value of a, we need to isolate a on one side of the equation.

a - 3 = 2

Add 3 to both sides:

a = 2 + 3 a = 5

So, the value of a is 5.

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10 Important Short Answer Type Questions in Mathematics

6. Find the value of b in the following equations

(i) b + 2 = 5

To find the value of b, we need to isolate b on one side of the equation.

b + 2 = 5

Subtract 2 from both sides:

b = 5 - 2 b = 3

So, the value of b is 3.

(ii) 2b - 3 = 9

To find the value of b, we need to isolate b on one side of the equation.

2b - 3 = 9

Add 3 to both sides:

2b = 9 + 3 2b = 12

Divide both sides by 2:

b = 12 ÷ 2 b = 6

So, the value of b is 6.

(iii) b/4 = 2

To find the value of b, we need to isolate b on one side of the equation.

b/4 = 2

Multiply both sides by 4:

b = 2 × 4 b = 8

So, the value of b is 8.

(iv) 3b + 2 = 14

To find the value of b, we need to isolate b on one side of the equation.

3b + 2 = 14

Subtract 2 from both sides:

3b = 14 - 2 3b = 12

Divide both sides by 3:

b = 12 ÷ 3 b = 4

So, the value of b is 4.

(v) b/2 = 3

To find the value of b, we need to isolate b on one side of the equation.

b/2 = 3

Multiply both sides by 2:

b = 3 × 2 b = 6

So, the value of b is 6.

7. Find the value of c in the following equations

(i) c - 2 = 3

To find the value of c, we need to isolate c on one side of the equation.

c - 2 = 3

Add 2 to both sides:

c = 3 + 2 c = 5

So, the value of c is 5.

(ii) 2c + 3 = 11

To find the value of c, we need to isolate c on one side of the equation.

2c + 3 = 11

Subtract 3 from both sides:

2c = 11 - 3 2c = 8

Divide both sides by 2:

c = 8 ÷ 2 c = 4

So, the value of c is 4.

(iii) c/4 = 2

To find the value of c, we need to isolate c on one side of the equation.

c/4 = 2

Multiply both sides by 4:

c = 2 × 4 c = 8

So, the value of c is 8.

(iv) 3c - 2 = 13

To find the value of c, we need to isolate c on one side of the equation.

3c - 2 = 13

Add 2 to both sides:

3c = 13 + 2 3c = 15

Divide both sides by 3:

c = 15 ÷ 3 c = 5

So, the value of c is 5.

(v) c/2 = 4

To find the value of c, we need to isolate c on one side of the equation.

c/2 = 4

Multiply both sides by 2:

c = 4 × 2 c = 8

So, the value of c is 8.

8. Find the value of d in the following equations

(i) d + 3 = 7

To find the value of d, we need to isolate d on one side of the equation.

d + 3 = 7

Subtract 3 from both sides:

d = 7 - 3 d = 4

So, the value of d is 4.

(ii) 2d - 2 = 10

To find the value of d, we need to isolate d on one side of the equation.

2d - 2 = 10

Add 2 to both sides:

2d = 10 + 2 2d = 12

Divide both sides by 2:

d = 12 ÷ 2 d = 6

So, the value of d is 6.

(iii) d/4 = 3

To find the value of d, we need to isolate d on one side of the equation.

d/4 = 3

Multiply both sides by 4:

d = 3 × 4 d = 12

So, the value of d is 12.

(iv) 3d + 2 = 17

To find the value of d, we need to isolate d on one side of the equation.

3d + 2 = 17

Subtract 2 from both sides:

3d = 17 - 2 3d = 15

Divide both sides by 3:

d = 15 ÷ 3 d = 5

So, the value of d is 5.

(v) d/2 = 5

To find the value of d, we need to isolate d on one side of the equation.

d/2 = 5

Multiply both sides by 2:

d = 5 × 2 d = 10

So, the value of d is 10.

9. Find the value of e in the following equations

(i) e - 4 = 2

To find the value of e, we need to isolate e on one side of the equation.

e - 4 = 2

Add 4 to both sides:

e = 2 + 4 e = 6

So, the value of e is 6.

(ii) 2e + 2 = 12

To find the value of e, we need to isolate e on one side of the equation.

2e + 2 = 12

Subtract 2 from both sides:

2e = 12 - 2 2e = 10

Divide both sides by 2:

e = 10 ÷ 2 e = 5

So, the value of e is 5.

(iii) e/4 = 2

To find the value of e, we need to isolate e on one side of the equation.

e/4 = 2

Multiply both sides by 4:

e = 2 × 4 e = 8

So, the value of e is 8.

(iv) 3e - 2 = 15

To find the value of e, we need to isolate e on one side of the equation.

3e - 2 = 15

Add 2 to both sides:

3e = 15 + 2 3e = 17

Divide both sides by 3:

e = 17 ÷ 3 e = 5.67

So, the value of e is 5.67.

(v) e/2 = 6

To find the value of e, we need to isolate e on one side of the equation.

e/2 = 6

Multiply both sides by 2:

e = 6 × 2 e = 12

So, the value of e is 12.

10. Find the value of f in the following equations

(i) f + 5 = 9

To find the value of f, we need to isolate f on one side of the equation.

f + 5 = 9

Subtract 5 from both sides:

f = 9 - 5 f = 4

So, the value of f is 4.

(ii) 2f - 3 = 11

To find the value of f, we need to isolate f on one side of the equation.

2f - 3 = 11

Add 3 to both sides:

2f = 11 + 3 2f = 14

Divide both sides by 2:

f = 14 ÷ 2 f = 7

So, the value of f is 7.

(iii) f/4 = 2

To find the value of f, we need to isolate f on one side of the equation.

f/4 = 2

Multiply both sides by 4:

f = 2 × 4 f = 8

So, the value of f is 8.

(iv) 3f + 2 = 19

To find the value of f, we need to isolate f on one side of the equation.

3f + 2 = 19

Subtract 2 from both sides:

3f = 19 - 2 3f = 17

Divide both sides by 3:

f = 17 ÷ 3 f = 5.67

So, the value of f is 5.67.

(v) f/2 = 7

To find the value of f, we need to isolate f on one side of the equation.

f/2 = 7

Multiply both sides by 2:

f = 7 ×