**Grade 5 Math Practice Worksheet :**

In this section, we will see some practice problems for 5th grade students.

**Question 1 :**

The in circle of triangle ABC touches BC at D, AC at E, and AB at F. Given AF = 3, BD = 4, and CE = 6, find the perimeter of triangle ABC

(A) 26 (B) 55 (C) 37

**Solution :**

AF = AE = 3, BD = BF = 4 and CE = CD = 6

Perimeter of the triangle ABC = AB + BC + CA

AB = AF + FB = 3 + 4 ==> 7

BC = BD + DC = 4 + 6 ==> 10

CA = CE + EA = 6 + 3 ==> 9

Perimeter of the triangle = 7 + 10 + 9

= 26 cm

**Question 2 :**

Find the sum of the first 16 terms of the arithmetic series 5, 10, 15 . . .

(A) 490 (B) 230 (C) 510

**Solution :**

The sum of n terms = s_{n} = (n/2)[2a + (n - 1)d]

a = 5, d = t_{2} - t_{1 } = 10 - 5 ==> 5

s_{16} = (16/2)[2(5) + (16 - 1)(5)]

s_{16} = 8[10 + (15)5]

s_{16} = 8[10 + 75]

s_{16} = 8[85]

= 425

**Question 3 :**

Subtract 573.9246 - 215.6

(A) 320.1046 (B) 125.3246 (C) 358.3246

**Solution :**

573.9246 - 215.6 = 358.3246

**Question 4 :**

Calculate 2 × 0 × 0 × 8 x 12 =

(A) 5 (B) 0 (A) 3

**Solution :**

In the expression, one of the number is 0. Hence the answer is 0.

**Question 5 :**

Express 11/5 in decimal form

(A) 5.5 (B) 2.2 (C) 8.2

**Solution :**

By dividing 11 by 5, we get 2.2

**Question 6 :**

The sum of the angles of a triangle is

(A) 180 degree (B) 240 degree (C) 360 degree

**Solution :**

The sum of the interior of the triangle is 180 degree.

**Question 7 :**

The circle is having 14 cm as diameter. Then what will be the perimeter of the circle

(A) 25π (B) 50π (C) 14π

**Solution :**

Diameter of the circle = 14 cm

radius of the circle = 7 cm

Perimeter of the circle = Circumference of circle

= 2πr

= 2π(7)

= 14π

**Question 8 :**

Divide 0.4096 ÷ 0.032

(A) 12.8 (B) 15.3 (C) 10.1

**Solution :**

0.4096 ÷ 0.032 = 0.4096 / 0.032

Multiplying the numerator and denominator by 1000, we get

= 4096/320

= 12.8

**Question 9 :**

Reduce 45% into a fraction.

(A) 9/20 (B) 9/17 (C) 5/19

**Solution :**

45% = 45/100

Dividing the numerator and denominator by 5 times table. we get

= 9/20

**Question 10 :**

Multiply 6a x 2a

(A) 8a (B) 12a^{2 }(C) 8a^{2}

**Solution :**

6a x 2a = 12a^{2}

After having gone through the stuff given above, we hope that the students would have practiced problems in the worksheet.

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