Practice the questions given in the worksheet on shortcut method of division. We know when we share equally or we make equal groups we use division.
1. Divide by means of repeated subtraction.
(i) 10 ÷ 2
(ii) 100 ÷ 20
(iii) 600 ÷ 60
(iv) 51 ÷ 17
(v) 64 ÷ 8
(vi) 144 ÷ 12
2. Solve by dividing into groups.
(i) 50 ÷ 10
(ii) 28 ÷ 7
(iii) 169 ÷ 13
(iv) 2000 ÷ 500
(v) 5600 ÷ 800
(vi) 500 ÷ 100
3. Write the multiplication facts for the following.
(i) 18 ÷ 6 = 3
(ii) 54 ÷ 9 = 6
(iii) 144 ÷ 12 = 12
(iv) 125 ÷ 25 = 5
(v) 1000 ÷ 100 = 10
(vi) 132 ÷ 12 = 11
(vii) 128 ÷ 16 = 8
(viii) 1000 ÷ 10 = 100
4. Write the division facts for the following.
(i) 9 × 7 = 63
(ii) 15 × 5 = 75
(iii) 12 × 8 = 96
(iv) 20 × 10 = 200
(v) 50 × 8 = 400
(vi) 19 × 9 = 171
(vii) 17 × 6 = 102
(viii) 18 × 8 = 144
(ix) 16 × 10 = 160
5. Identify the dividend, divisor and quotient:
(i) 48 ÷ 4 = 12
(ii) 176 ÷ 16 = 11
(iii) 153 ÷ 9 = 17
(iv) 2000 ÷ 500 = 4
(v) 999 ÷ 111 = 9
(vi) 46 ÷ 2 = 23
6. Fill in the blanks.
(i) 4 ÷ 1 = ..........
(ii) 8 ÷ 8 = ..........
(iii) 0 ÷ 11 = ..........
(iv) 13 ÷ .......... = 13
(v) 21 ÷ .......... = 21
(vi) .......... ÷ 93 = 0
(vii) .......... ÷ 52 = 1
(viii) .......... ÷ 1 = 75
(ix) 0 ÷ 67 = ..........
(x) .......... ÷ 1 = 49
(xi) .......... ÷ 27 = 1
(xii) 0 ÷ 38 = ..........
7. Find the quotient using multiplication table:
(i) 200 ÷ 25 = ..........
(ii) 1000 ÷ 500 = ..........
(iii) 108 ÷ 12 = ..........
(iv) 132 ÷ 11 = ..........
(v) 190 ÷ 10 = ..........
(vi) 72 ÷ 6 = ..........
Answers for the worksheet on shortcut method of division are given below.
Answers:
1. (i) 5, (10 - 2 = 8, 8 - 2 = 6, 6 - 2 = 4, 4 - 2 = 2, 2 - 2 = 0)
(ii) 5, (100 – 20 = 80, 80 – 20 = 60, 60 – 20 = 40, 40 – 20 = 20, 20 – 20 = 0)
(iii) 10, (600 – 60 = 540, 540 – 60 = 480, 480 - 60 = 420, 420 – 60 = 360, 360 – 60 = 300, 300 – 60 = 240, 240 – 60 = 180, 180 – 60 = 120, 120 – 60 = 60, 60 – 60 = 0)
(iv) 3, (51 – 17 = 34, 34 – 17 = 17, 17 – 17 = 0)
(v) 8, (64 – 8 = 56, 56 – 8 = 48, 48 – 8 = 40, 40 – 8 = 32, 32 – 8 = 24, 24 – 8 = 16, 16 – 8 = 8, 8 – 8 = 0)
(vi) 12, (144 – 12 = 132, 132 – 12 = 120, 120 – 12 = 108, 108 – 12 = 96, 96 – 12 = 84, 84 – 12 = 72, 72 – 12 = 60, 60 – 12 = 48, 48 – 12 = 36, 36 – 12 = 24, 24 – 12 = 12, 12 – 12 = 0)
2. (i) 5, (10 → 1, 10 → 2, 10 → 3, 10 → 4, 10 → 5)
(ii) 4, (7 → 1, 7 → 2, 7 → 3, 7 → 4)
(iii) 13, (13 → 1, 13 → 2, 13 → 3, 13 → 4, 13 → 5, 13 → 6, 13 → 7, 13 → 8, 13 → 9, 13 → 10, 13 → 11, 13 → 12, 13 → 13)
(iv) 4, (500 → 1, 500 → 2, 500 → 3, 500 → 4)
(v) 7, (700 → 1, 700 → 2, 700 → 3, 700 → 4, 700 → 5, 700 → 6, 700 → 7)
(vi) 5, (500 → 1, 500 → 2, 500 → 3, 500 → 4, 500 → 5)
3. (i) 3 × 6 = 18, 6 × 3 = 18
(ii) 6 × 9 = 54, 9 × 6 = 54
(iii) 12 × 12
(iv) 5 × 25 = 125, 25 × 5 = 125
(v) 10 × 100 = 1000, 100 × 10 = 1000
(vi) 11 × 12 = 132, 12 × 11 = 132
(vii) 8 × 16 = 128, 16 × 8 = 128
(viii) 100 × 10 = 1000, 10 × 100 = 1000
4. (i) 63 ÷ 9 = 7, 63 ÷ 7 = 9
(ii) 75 ÷ 15 = 5, 75 ÷ 5 = 15
(iii) 96 ÷ 12 = 8, 96 ÷ 8 = 12
(iv) 200 ÷ 20 = 10, 200 ÷ 10 = 20
(v) 400 ÷ 50 = 8, 400 ÷ 8 = 50
(vi) 171 ÷ 19 = 9, 171 ÷ 9 = 19
(vii) 102 ÷ 17 = 6, 102 ÷ 6 = 17
(viii) 144 ÷ 18 = 8, 144 ÷ 8 = 18
(ix) 160 ÷ 16 = 10, 160 ÷ 10 = 16
5. (i) Dividend = 48, Divisor = 4, Quotient = 12
(ii) Dividend = 176, Divisor = 16, Quotient = 11
(iii) Dividend = 153, Divisor = 9, Quotient = 17
(iv) Dividend = 2000, Divisor = 500, Quotient = 4
(v) Dividend = 999, Divisor = 111, Quotient = 9
(vi) Dividend = 46, Divisor = 2, Quotient = 23
6. (i) 4
(ii) 1
(iii) 0
(iv) 1
(v) 1
(vi) 0
(vii) 52
(viii) 75
(ix) 0
(x) 49
(xi) 27
(xii) 0
7. (i) 8
(ii) 2
(iii) 9
(iv) 12
(v) 19
(vi) 12
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