Number - Division
Question 1
Find the answer to the following questions:
a) $1\div1$
a
$1$
Question ID: 10040010010
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How many times does the number $1$ go into $1$? Once! So the answer is $1$
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b) $2\div2$
a
$1$
Question ID: 10040010020
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c) $3\div3$
a
$1$
Question ID: 10040010030
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d) $3\div1$
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$3$
Question ID: 10040010040
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e) $12\div1$
a
$12$
Question ID: 10040010050
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f) $4\div2$
a
$2$
Question ID: 10040010060
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How many times does the number $2$ go into $4$? Twice! So the answer is $2$
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g) $6\div2$
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$3$
Question ID: 10040010070
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How many times does the number $2$ go into $6$? Three times! So the answer is $3$
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h) $10\div2$
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$5$
Question ID: 10040010080
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i) $16\div2$
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$8$
Question ID: 10040010090
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j) $30\div10$
a
$3$
Question ID: 10040010100
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k) $80\div10$
a
$8$
Question ID: 10040010110
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l) $100\div10$
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$10$
Question ID: 10040010120
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m) $6\div3$
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$2$
Question ID: 10040010130
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n) $12\div3$
a
$4$
Question ID: 10040010140
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o) $18\div3$
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$6$
Question ID: 10040010150
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p) $27\div3$
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$9$
Question ID: 10040010160
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q) $12\div4$
a
$3$
Question ID: 10040010170
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r) $20\div4$
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$5$
Question ID: 10040010180
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s) $44\div4$
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$11$
Question ID: 10040010190
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t) $30\div5$
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$6$
Question ID: 10040010200
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u) $40\div5$
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$8$
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v) $45\div5$
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$9$
Question ID: 10040010220
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w) $24\div6$
a
$4$
Question ID: 10040010230
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x) $42\div6$
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$7$
Question ID: 10040010240
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Question ID: 10040010240
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y) $54\div6$
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$9$
Question ID: 10040010250
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z) $40\div8$
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$5$
Question ID: 10040010260
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aa) $64\div8$
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$8$
Question ID: 10040010270
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ab) $80\div8$
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$10$
Question ID: 10040010280
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ac) $27\div9$
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$3$
Question ID: 10040010290
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ad) $63\div9$
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$7$
Question ID: 10040010300
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ae) $99\div9$
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$11$
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af) $22\div11$
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$2$
Question ID: 10040010320
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ag) $55\div11$
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$5$
Question ID: 10040010330
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ah) $110\div11$
a
$10$
Question ID: 10040010340
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ai) $132\div11$
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$12$
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aj) $14\div7$
a
$2$
Question ID: 10040010360
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ak) $42\div7$
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$6$
Question ID: 10040010370
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al) $56\div7$
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$8$
Question ID: 10040010380
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am) $48\div12$
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$4$
Question ID: 10040010390
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an) $72\div12$
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$6$
Question ID: 10040010400
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ao) $108\div12$
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$9$
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ap) $144\div12$
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$12$
Question ID: 10040010420
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Question 2
Each of these divisons has a remainder. Your answer should be in the form "$6r2$"
a) $3\div2$
a
$1r1$
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How many times does the number $2$ go into $3$? We know that $2$ goes into $2$ once, however we have $1$ left over. So we express our answer as $1r1$
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b) $5\div2$
a
$2r1$
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How many times does the number $2$ go into $5$? We know that $2$ goes into $4$ twice, however we have $1$ left over. So we express our answer as $2r1$
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c) $4\div3$
a
$1r1$
Question ID: 10040020030
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How many times does the number $3$ go into $4$? We know that $3$ goes into $3$ once, however we have $1$ left over. So we express our answer as $1r1$
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d) $14\div10$
a
$1r4$
Question ID: 10040020040
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How many times does the number $10$ go into $14$? We know that $10$ goes into $10$ once, however we have $4$ left over. So we express our answer as $1r4$
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e) $76\div10$
a
$7r6$
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How many times does the number $10$ go into $76$? We know that $10$ goes into $70$ seven times, however we have $6$ left over. So we express our answer as $7r6$
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f) $5\div3$
a
$1r2$
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g) $11\div3$
a
$3r2$
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h) $29\div3$
a
$9r2$
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i) $7\div4$
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$1r3$
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j) $31\div4$
a
$7r3$
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k) $16\div5$
a
$3r1$
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l) $48\div5$
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$9r3$
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m) $20\div6$
a
$3r2$
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n) $44\div8$
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$7r2$
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o) $30\div9$
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$3r3$
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p) $16\div7$
a
$2r2$
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q) $38\div7$
a
$5r3$
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r) $69\div7$
a
$9r6$
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s) $47\div11$
a
$4r3$
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t) $105\div11$
a
$9r6$
Question ID: 10040020200
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u) $140\div11$
a
$11r8$
Question ID: 10040020210
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v) $16\div12$
a
$1r4$
Question ID: 10040020220
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w) $77\div12$
a
$6r5$
Question ID: 10040020230
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x) $115\div12$
a
$9r7$
Question ID: 10040020240
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y) $149\div12$
a
$12r5$
Question ID: 10040020250
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Question 3
Each of these divisons has a remainder. Your answer should be written as a fraction e.g. "$6\frac15$"
a) $5\div3$
a
$1\frac23$
Question ID: 10040030010
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$5\div3=1r2$. The remainder still needs to be divided by $3$ so we can express the remainder as $\frac23$. Therefore the answer is $1\frac23$
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b) $9\div5$
a
$1\frac45$
Question ID: 10040030020
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$9\div5=1r4$. The remainder still needs to be divided by $5$ so we can express the remainder as $\frac45$. Therefore the answer is $1\frac45$
Question ID: 10040030020
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c) $10\div3$
a
$3\frac13$
Question ID: 10040030030
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$10\div3=3r1$. The remainder still needs to be divided by $3$ so we can express the remainder as $\frac13$. Therefore the answer is $3\frac13$
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d) $14\div5$
a
$2\frac45$
Question ID: 10040030040
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$14\div5=2r4$. The remainder still needs to be divided by $5$ so we can express the remainder as $\frac45$. Therefore the answer is $2\frac45$
Question ID: 10040030040
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e) $20\div3$
a
$6\frac23$
Question ID: 10040030050
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f) $19\div6$
a
$3\frac16$
Question ID: 10040030060
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g) $29\div10$
a
$2\frac{9}{10}$
Question ID: 10040030070
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h) $25\div6$
a
$4\frac16$
Question ID: 10040030080
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i) $33\div8$
a
$4\frac18$
Question ID: 10040030090
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j) $23\div8$
a
$2\frac78$
Question ID: 10040030100
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k) $15\div7$
a
$2\frac17$
Question ID: 10040030110
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l) $45\div7$
a
$6\frac37$
Question ID: 10040030120
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m) $34\div9$
a
$3\frac79$
Question ID: 10040030130
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n) $16\div3$
a
$5\frac13$
Question ID: 10040030140
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o) $77\div10$
a
$7\frac{7}{10}$
Question ID: 10040030150
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p) $65\div9$
a
$7\frac{2}{9}$
Question ID: 10040030160
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q) $67\div8$
a
$8\frac{3}{8}$
Question ID: 10040030170
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r) $60\div11$
a
$5\frac{5}{11}$
Question ID: 10040030180
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s) $17\div12$
a
$1\frac{5}{12}$
Question ID: 10040030190
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t) $113\div12$
a
$9\frac{5}{12}$
Question ID: 10040030200
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u) $62\div3$
a
$20\frac{2}{3}$
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v) $49\div4$
a
$12\frac{1}{4}$
Question ID: 10040030220
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w) $85\div8$
a
$10\frac{5}{8}$
Question ID: 10040030230
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x) $110\div9$
a
$12\frac{2}{9}$
Question ID: 10040030240
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y) $155\div12$
a
$12\frac{11}{12}$
Question ID: 10040030250
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Question 4
Use the 'chunking' method to answer these questions. Any remainders should be in the form $6r3$.
a) $12\div3$
a
$4$
Question ID: 10040040010
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$12\div3$
$\,\,12\\\underline{-3}\,\,\,\,(1\times3)\\\,\,\,\,\,9\\\underline{-3}\,\,\,\,(1\times3)\\\,\,\,\,\,6\\\underline{-3}\,\,\,\,(1\times3)\\\,\,\,\,\,3\\\underline{-3}\,\,\,\,(1\times3)\\\,\,\,\,\,0$
We have take away a total of four $3$'s so
$12\div3=4$
Question ID: 10040040010
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b) $18\div3$
a
$6$
Question ID: 10040040020
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s
$18\div3$
$\,\,\,\,\,18\\\underline{-15}\,\,\,\,(5\times3)\\\,\,\,\,\,\,\,\,3\\\,\,\,\underline{-3}\,\,\,\,(1\times3)\\\,\,\,\,\,\,\,\,0$
We have take away a total of six $3$'s so
$18\div3=6$
Question ID: 10040040020
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c) $28\div4$
a
$7$
Question ID: 10040040030
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$28\div4$
$\,\,\,\,\,28\\\underline{-20}\,\,\,\,(5\times4)\\\,\,\,\,\,\,\,\,8\\\,\,\,\underline{-8}\,\,\,\,(2\times3)\\\,\,\,\,\,\,\,\,0$
We have take away a total of seven $4$'s so
$28\div4=7$
Question ID: 10040040030
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d) $55\div11$
a
$5$
Question ID: 10040040040
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e) $19\div9$
a
$2r1$
Question ID: 10040040050
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f) $34\div10$
a
$3r4$
Question ID: 10040040060
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g) $48\div12$
a
$4$
Question ID: 10040040070
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h) $30\div15$
a
$2$
Question ID: 10040040080
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i) $75\div25$
a
$3$
Question ID: 10040040090
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j) $34\div16$
a
$2r2$
Question ID: 10040040100
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k) $67\div20$
a
$3r7$
Question ID: 10040040110
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l) $150\div30$
a
$5$
Question ID: 10040040120
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m) $51\div17$
a
$3$
Question ID: 10040040130
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n) $110\div18$
a
$6r2$
Question ID: 10040040140
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$110\div18$
$\,\,110\\\underline{-90}\,\,\,\,(5\times18)\\\,\,\,\,\,20\\\underline{-18}\,\,\,\,(1\times18)\\\,\,\,\,\,\,\,\,2$
We have take away a total of six $18$'s and have $2$ left so
$110\div18=6r2$
Question ID: 10040040140
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o) $95\div19$
a
$5$
Question ID: 10040040150
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p) $35\div4$
a
$8r3$
Question ID: 10040040160
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q) $176\div22$
a
$8$
Question ID: 10040040170
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r) $133\div26$
a
$5r3$
Question ID: 10040040180
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s) $95\div27$
a
$3r14$
Question ID: 10040040190
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t) $495\div55$
a
$9$
Question ID: 10040040200
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u) $716\div142$
a
$5r6$
Question ID: 10040040210
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v) $360\div63$
a
$4r8$
Question ID: 10040040220
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w) $546\div77$
a
$7r7$
Question ID: 10040040230
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x) $6736\div842$
a
$8$
Question ID: 10040040240
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y) $2507/453$
a
$5r242$
Question ID: 10040040250
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z) $19\,443\div2476$
a
$7r2111$
Question ID: 10040040260
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Question 5
Use the 'chunking' method to answer these questions. Any remainders should be in the form $3\frac34$.
a) $69\div3$
a
$23$
Question ID: 10040050010
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$69\div3$
$\,\,\,\,\,69\\\underline{-30}\,\,\,\,(10\times3)\\\,\,\,\,\,39\\\underline{-30}\,\,\,\,(10\times3)\\\,\,\,\,\,\,\,\,9\\\,\,\,\underline{-9}\,\,\,\,(3\times3)\\\,\,\,\,\,\,\,\,0$
We have take away a total of twenty-three $3$'s so
$69\div3=23$
Question ID: 10040050010
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b) $185\div5$
a
$37$
Question ID: 10040050020
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$185\div5$
$\,\,\,\,\,185\\\underline{-100}\,\,\,\,(20\times5)\\\,\,\,\,\,\,\,\,85\\\,\,\,\underline{-50}\,\,\,\,(10\times5)\\\,\,\,\,\,\,\,\,35\\\,\,\,\underline{-35}\,\,\,\,(7\times5)\\\,\,\,\,\,\,\,\,\,\,\,0$
We have take away a total of thirty-seven $5$'s so
$185\div5=37$
Question ID: 10040050020
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c) $545\div6$
a
$90\frac56$
Question ID: 10040050030
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$545\div6$
$\,\,\,\,\,545\\\underline{-540}\,\,\,\,(90\times6)\\\,\,\,\,\,\,\,\,\,\,\,5$
We have take away a total of ninety $6$'s and we have $5$ remaining so
$545\div6=90\frac56$
Question ID: 10040050030
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d) $688\div8$
a
$86$
Question ID: 10040050040
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e) $544\div3$
a
$181\frac13$
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f) $621\div8$
a
$77\frac58$
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$621\div8$
$\,\,\,\,\,621\\\underline{-560}\,\,\,\,(70\times8)\\\,\,\,\,\,\,\,\,61\\\,\,\,\underline{-56}\,\,\,\,(7\times8)\\\,\,\,\,\,\,\,\,\,\,\,5$
We have take away a total of seventy-seven $8$'s and we have $5$ remaining so
$621\div8=77\frac58$
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g) $544\div9$
a
$60\frac49$
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h) $902\div5$
a
$180\frac25$
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i) $758\div3$
a
$252\frac23$
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j) $907\div6$
a
$151\frac16$
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k) $592\div8$
a
$74$
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l) $182\div11$
a
$16\frac{6}{11}$
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$182\div11$
$\,\,\,\,\,182\\\underline{-110}\,\,\,\,(10\times11)\\\,\,\,\,\,\,\,\,72\\\,\,\,\underline{-66}\,\,\,\,(6\times11)\\\,\,\,\,\,\,\,\,\,\,\,6$
We have take away a total of sixteen $11$'s and we have $6$ remaining so
$182\div11=16\frac{6}{11}$
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m) $587\div12$
a
$48\frac{11}{12}$
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n) $9033\div3$
a
$3011$
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o) $6821\div5$
a
$1362\frac15$
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p) $9125\div3$
a
$3041\frac23$
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q) $8123\div6$
a
$1353\frac56$
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r) $6242\div7$
a
$891\frac57$
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Question 6
Use short division (also known as the 'bus stop' method) to answer these questions:
a) $28\div2$
a
$14$
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$\begin{align}14\\2\overline{)28}\end{align}$
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b) $86\div2$
a
$43$
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c) $34\div2$
a
$17$
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d) $76\div2$
a
$38$
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$\begin{align}38\\2\overline{)7^16}\end{align}$
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e) $66\div3$
a
$22$
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f) $48\div3$
a
$16$
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$\begin{align}16\\3\overline{)4^18}\end{align}$
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g) $132\div3$
a
$44$
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h) $68\div4$
a
$17$
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i) $116\div4$
a
$29$
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j) $75\div5$
a
$15$
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k) $230\div5$
a
$46$
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l) $336\div6$
a
$56$
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m) $336\div8$
a
$42$
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n) $198\div9$
a
$22$
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o) $432\div9$
a
$48$
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$\begin{align}4\,\,\,8\\9\overline{)4^43^72}\end{align}$
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p) $168\div7$
a
$24$
Question ID: 10040060160
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q) $259\div7$
a
$37$
Question ID: 10040060170
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r) $441\div7$
a
$63$
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s) $710\div5$
a
$142$
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t) $2612\div4$
a
$635$
Question ID: 10040060200
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u) $2730\div6$
a
$455$
Question ID: 10040060210
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v) $5096\div8$
a
$637$
Question ID: 10040060220
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w) $3591\div7$
a
$513$
Question ID: 10040060230
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x) $6165\div9$
a
$685$
Question ID: 10040060240
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y) $24794\div7$
a
$3542$
Question ID: 10040060250
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z) $394\,698\div6$
a
$65\,783$
Question ID: 10040060260
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aa) $6\,749\,491\div7$
a
$964\,213$
Question ID: 10040060270
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Question 7
Use short division (also known as the 'bus stop' method) to answer these questions. Any remainders should be in the form "$5r3$"
a) $34\div3$
a
$11r1$
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$\begin{align}11&r1\\3\overline{)34}\end{align}$
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b) $52\div5$
a
$10r2$
Question ID: 10040070020
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$\begin{align}10&r2\\5\overline{)52}\end{align}$
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c) $29\div2$
a
$14r1$
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$\begin{align}14&r1\\2\overline{)29}\end{align}$
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d) $37\div2$
a
$18r1$
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$\begin{align}1\,\,8&r1\\2\overline{)3^17}\end{align}$
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e) $145\div2$
a
$72r1$
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$\begin{align}72&r1\\2\overline{)1^145}\end{align}$
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f) $53\div3$
a
$17r1$
Question ID: 10040070060
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g) $77\div3$
a
$25r2$
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h) $55\div4$
a
$13r3$
Question ID: 10040070080
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i) $101\div4$
a
$25r1$
Question ID: 10040070090
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j) $67\div5$
a
$13r2$
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k) $159\div5$
a
$31r4$
Question ID: 10040070110
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l) $92\div6$
a
$15r2$
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m) $173\div6$
a
$28r5$
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n) $94\div8$
a
$11r6$
Question ID: 10040070140
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o) $163\div8$
a
$20r3$
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p) $57\div9$
a
$6r3$
Question ID: 10040070160
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q) $94\div7$
a
$13r3$
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r) $184\div7$
a
$26r2$
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s) $195\div11$
a
$17r8$
Question ID: 10040070190
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t) $532\div5$
a
$106r2$
Question ID: 10040070200
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u) $833\div4$
a
$208r1$
Question ID: 10040070210
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v) $958\div6$
a
$159r4$
Question ID: 10040070220
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w) $477\div7$
a
$68r1$
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x) $562\div9$
a
$62r4$
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y) $853\div12$
a
$71r1$
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z) $9127\div7$
a
$1303r6$
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Question 8
Use short division (also known as the 'bus stop' method) to answer these questions. Any remainders should be written as fractions e.g. "$2\frac35$"
a) $47\div2$
a
$23\frac12$
Question ID: 10040080010
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$\begin{align}23&\tfrac12\\2\overline{)47}\end{align}$
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b) $95\div2$
a
$47\frac12$
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$\begin{align}4\,\,\,7&\tfrac12\\2\overline{)9^15}\end{align}$
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c) $68\div3$
a
$22\frac23$
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$\begin{align}22&\tfrac23\\3\overline{)68}\end{align}$
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d) $85\div4$
a
$21\frac14$
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e) $54\div5$
a
$10\frac45$
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f) $89\div6$
a
$14\frac56$
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$\begin{align}14&\tfrac56\\6\overline{)8^29}\end{align}$
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g) $95\div8$
a
$11\frac78$
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h) $184\div9$
a
$20\frac49$
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i) $77\div10$
a
$7\frac{7}{10}$
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j) $165\div3$
a
$55\frac13$
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$\begin{align}5\,\,\,5&\tfrac13\\3\overline{)1^16^16}\end{align}$
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k) $257\div5$
a
$51\frac25$
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l) $645\div4$
a
$161\frac14$
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$\begin{align}1\,\,61&\tfrac14\\4\overline{)6^245}\end{align}$
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m) $753\div7$
a
$107\frac47$
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n) $856\div9$
a
$95\frac19$
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o) $478\div11$
a
$43\frac{5}{11}$
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p) $721\div12$
a
$60\frac{1}{12}$
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q) $1084\div3$
a
$361\frac13$
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r) $8219\div6$
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$1369\frac56$
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s) $2483\div7$
a
$354\frac57$
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Question 1
Find the answer to the following questions:
a) $1\div1$
b) $2\div2$
c) $3\div3$
d) $3\div1$
e) $12\div1$
f) $4\div2$
g) $6\div2$
h) $10\div2$
i) $16\div2$
j) $30\div10$
k) $80\div10$
l) $100\div10$
m) $6\div3$
n) $12\div3$
o) $18\div3$
p) $27\div3$
q) $12\div4$
r) $20\div4$
s) $44\div4$
t) $30\div5$
u) $40\div5$
v) $45\div5$
w) $24\div6$
x) $42\div6$
y) $54\div6$
z) $40\div8$
aa) $64\div8$
ab) $80\div8$
ac) $27\div9$
ad) $63\div9$
ae) $99\div9$
af) $22\div11$
ag) $55\div11$
ah) $110\div11$
ai) $132\div11$
aj) $14\div7$
ak) $42\div7$
al) $56\div7$
am) $48\div12$
an) $72\div12$
ao) $108\div12$
ap) $144\div12$
Question 2
Each of these divisons has a remainder. Your answer should be in the form "$6r2$"
a) $3\div2$
b) $5\div2$
c) $4\div3$
d) $14\div10$
e) $76\div10$
f) $5\div3$
g) $11\div3$
h) $29\div3$
i) $7\div4$
j) $31\div4$
k) $16\div5$
l) $48\div5$
m) $20\div6$
n) $44\div8$
o) $30\div9$
p) $16\div7$
q) $38\div7$
r) $69\div7$
s) $47\div11$
t) $105\div11$
u) $140\div11$
v) $16\div12$
w) $77\div12$
x) $115\div12$
y) $149\div12$
Question 3
Each of these divisons has a remainder. Your answer should be written as a fraction e.g. "$6\frac15$"
a) $5\div3$
b) $9\div5$
c) $10\div3$
d) $14\div5$
e) $20\div3$
f) $19\div6$
g) $29\div10$
h) $25\div6$
i) $33\div8$
j) $23\div8$
k) $15\div7$
l) $45\div7$
m) $34\div9$
n) $16\div3$
o) $77\div10$
p) $65\div9$
q) $67\div8$
r) $60\div11$
s) $17\div12$
t) $113\div12$
u) $62\div3$
v) $49\div4$
w) $85\div8$
x) $110\div9$
y) $155\div12$
Question 4
Use the 'chunking' method to answer these questions. Any remainders should be in the form $6r3$.
a) $12\div3$
b) $18\div3$
c) $28\div4$
d) $55\div11$
e) $19\div9$
f) $34\div10$
g) $48\div12$
h) $30\div15$
i) $75\div25$
j) $34\div16$
k) $67\div20$
l) $150\div30$
m) $51\div17$
n) $110\div18$
o) $95\div19$
p) $35\div4$
q) $176\div22$
r) $133\div26$
s) $95\div27$
t) $495\div55$
u) $716\div142$
v) $360\div63$
w) $546\div77$
x) $6736\div842$
y) $2507/453$
z) $19\,443\div2476$
Question 5
Use the 'chunking' method to answer these questions. Any remainders should be in the form $3\frac34$.
a) $69\div3$
b) $185\div5$
c) $545\div6$
d) $688\div8$
e) $544\div3$
f) $621\div8$
g) $544\div9$
h) $902\div5$
i) $758\div3$
j) $907\div6$
k) $592\div8$
l) $182\div11$
m) $587\div12$
n) $9033\div3$
o) $6821\div5$
p) $9125\div3$
q) $8123\div6$
r) $6242\div7$
Question 6
Use short division (also known as the 'bus stop' method) to answer these questions:
a) $28\div2$
b) $86\div2$
c) $34\div2$
d) $76\div2$
e) $66\div3$
f) $48\div3$
g) $132\div3$
h) $68\div4$
i) $116\div4$
j) $75\div5$
k) $230\div5$
l) $336\div6$
m) $336\div8$
n) $198\div9$
o) $432\div9$
p) $168\div7$
q) $259\div7$
r) $441\div7$
s) $710\div5$
t) $2612\div4$
u) $2730\div6$
v) $5096\div8$
w) $3591\div7$
x) $6165\div9$
y) $24794\div7$
z) $394\,698\div6$
aa) $6\,749\,491\div7$
Question 7
Use short division (also known as the 'bus stop' method) to answer these questions. Any remainders should be in the form "$5r3$"
a) $34\div3$
b) $52\div5$
c) $29\div2$
d) $37\div2$
e) $145\div2$
f) $53\div3$
g) $77\div3$
h) $55\div4$
i) $101\div4$
j) $67\div5$
k) $159\div5$
l) $92\div6$
m) $173\div6$
n) $94\div8$
o) $163\div8$
p) $57\div9$
q) $94\div7$
r) $184\div7$
s) $195\div11$
t) $532\div5$
u) $833\div4$
v) $958\div6$
w) $477\div7$
x) $562\div9$
y) $853\div12$
z) $9127\div7$
Question 8
Use short division (also known as the 'bus stop' method) to answer these questions. Any remainders should be written as fractions e.g. "$2\frac35$"
a) $47\div2$
b) $95\div2$
c) $68\div3$
d) $85\div4$
e) $54\div5$
f) $89\div6$
g) $95\div8$
h) $184\div9$
i) $77\div10$
j) $165\div3$
k) $257\div5$
l) $645\div4$
m) $753\div7$
n) $856\div9$
o) $478\div11$
p) $721\div12$
q) $1084\div3$
r) $8219\div6$
s) $2483\div7$
Answers
Question 1
a) $1$
b) $1$
c) $1$
d) $3$
e) $12$
f) $2$
g) $3$
h) $5$
i) $8$
j) $3$
k) $8$
l) $10$
m) $2$
n) $4$
o) $6$
p) $9$
q) $3$
r) $5$
s) $11$
t) $6$
u) $8$
v) $9$
w) $4$
x) $7$
y) $9$
z) $5$
aa) $8$
ab) $10$
ac) $3$
ad) $7$
ae) $11$
af) $2$
ag) $5$
ah) $10$
ai) $12$
aj) $2$
ak) $6$
al) $8$
am) $4$
an) $6$
ao) $9$
ap) $12$
Question 2
a) $1r1$
b) $2r1$
c) $1r1$
d) $1r4$
e) $7r6$
f) $1r2$
g) $3r2$
h) $9r2$
i) $1r3$
j) $7r3$
k) $3r1$
l) $9r3$
m) $3r2$
n) $7r2$
o) $3r3$
p) $2r2$
q) $5r3$
r) $9r6$
s) $4r3$
t) $9r6$
u) $11r8$
v) $1r4$
w) $6r5$
x) $9r7$
y) $12r5$
Question 3
a) $1\frac23$
b) $1\frac45$
c) $3\frac13$
d) $2\frac45$
e) $6\frac23$
f) $3\frac16$
g) $2\frac{9}{10}$
h) $4\frac16$
i) $4\frac18$
j) $2\frac78$
k) $2\frac17$
l) $6\frac37$
m) $3\frac79$
n) $5\frac13$
o) $7\frac{7}{10}$
p) $7\frac{2}{9}$
q) $8\frac{3}{8}$
r) $5\frac{5}{11}$
s) $1\frac{5}{12}$
t) $9\frac{5}{12}$
u) $20\frac{2}{3}$
v) $12\frac{1}{4}$
w) $10\frac{5}{8}$
x) $12\frac{2}{9}$
y) $12\frac{11}{12}$
Question 4
a) $4$
b) $6$
c) $7$
d) $5$
e) $2r1$
f) $3r4$
g) $4$
h) $2$
i) $3$
j) $2r2$
k) $3r7$
l) $5$
m) $3$
n) $6r2$
o) $5$
p) $8r3$
q) $8$
r) $5r3$
s) $3r14$
t) $9$
u) $5r6$
v) $4r8$
w) $7r7$
x) $8$
y) $5r242$
z) $7r2111$
Question 5
a) $23$
b) $37$
c) $90\frac56$
d) $86$
e) $181\frac13$
f) $77\frac58$
g) $60\frac49$
h) $180\frac25$
i) $252\frac23$
j) $151\frac16$
k) $74$
l) $16\frac{6}{11}$
m) $48\frac{11}{12}$
n) $3011$
o) $1362\frac15$
p) $3041\frac23$
q) $1353\frac56$
r) $891\frac57$
Question 6
a) $14$
b) $43$
c) $17$
d) $38$
e) $22$
f) $16$
g) $44$
h) $17$
i) $29$
j) $15$
k) $46$
l) $56$
m) $42$
n) $22$
o) $48$
p) $24$
q) $37$
r) $63$
s) $142$
t) $635$
u) $455$
v) $637$
w) $513$
x) $685$
y) $3542$
z) $65\,783$
aa) $964\,213$
Question 7
a) $11r1$
b) $10r2$
c) $14r1$
d) $18r1$
e) $72r1$
f) $17r1$
g) $25r2$
h) $13r3$
i) $25r1$
j) $13r2$
k) $31r4$
l) $15r2$
m) $28r5$
n) $11r6$
o) $20r3$
p) $6r3$
q) $13r3$
r) $26r2$
s) $17r8$
t) $106r2$
u) $208r1$
v) $159r4$
w) $68r1$
x) $62r4$
y) $71r1$
z) $1303r6$
Question 8
a) $23\frac12$
b) $47\frac12$
c) $22\frac23$
d) $21\frac14$
e) $10\frac45$
f) $14\frac56$
g) $11\frac78$
h) $20\frac49$
i) $7\frac{7}{10}$
j) $55\frac13$
k) $51\frac25$
l) $161\frac14$
m) $107\frac47$
n) $95\frac19$
o) $43\frac{5}{11}$
p) $60\frac{1}{12}$
q) $361\frac13$
r) $1369\frac56$
s) $354\frac57$
Question 1
Find the answer to the following questions:
a) $1\div1$
b) $2\div2$
c) $3\div3$
d) $3\div1$
e) $12\div1$
f) $4\div2$
g) $6\div2$
h) $10\div2$
i) $16\div2$
j) $30\div10$
k) $80\div10$
l) $100\div10$
m) $6\div3$
n) $12\div3$
o) $18\div3$
p) $27\div3$
q) $12\div4$
r) $20\div4$
s) $44\div4$
t) $30\div5$
u) $40\div5$
v) $45\div5$
w) $24\div6$
x) $42\div6$
y) $54\div6$
z) $40\div8$
aa) $64\div8$
ab) $80\div8$
ac) $27\div9$
ad) $63\div9$
ae) $99\div9$
af) $22\div11$
ag) $55\div11$
ah) $110\div11$
ai) $132\div11$
aj) $14\div7$
ak) $42\div7$
al) $56\div7$
am) $48\div12$
an) $72\div12$
ao) $108\div12$
ap) $144\div12$
Question 2
Each of these divisons has a remainder. Your answer should be in the form "$6r2$"
a) $3\div2$
b) $5\div2$
c) $4\div3$
d) $14\div10$
e) $76\div10$
f) $5\div3$
g) $11\div3$
h) $29\div3$
i) $7\div4$
j) $31\div4$
k) $16\div5$
l) $48\div5$
m) $20\div6$
n) $44\div8$
o) $30\div9$
p) $16\div7$
q) $38\div7$
r) $69\div7$
s) $47\div11$
t) $105\div11$
u) $140\div11$
v) $16\div12$
w) $77\div12$
x) $115\div12$
y) $149\div12$
Question 3
Each of these divisons has a remainder. Your answer should be written as a fraction e.g. "$6\frac15$"
a) $5\div3$
b) $9\div5$
c) $10\div3$
d) $14\div5$
e) $20\div3$
f) $19\div6$
g) $29\div10$
h) $25\div6$
i) $33\div8$
j) $23\div8$
k) $15\div7$
l) $45\div7$
m) $34\div9$
n) $16\div3$
o) $77\div10$
p) $65\div9$
q) $67\div8$
r) $60\div11$
s) $17\div12$
t) $113\div12$
u) $62\div3$
v) $49\div4$
w) $85\div8$
x) $110\div9$
y) $155\div12$
Question 4
Use the 'chunking' method to answer these questions. Any remainders should be in the form $6r3$.
a) $12\div3$
b) $18\div3$
c) $28\div4$
d) $55\div11$
e) $19\div9$
f) $34\div10$
g) $48\div12$
h) $30\div15$
i) $75\div25$
j) $34\div16$
k) $67\div20$
l) $150\div30$
m) $51\div17$
n) $110\div18$
o) $95\div19$
p) $35\div4$
q) $176\div22$
r) $133\div26$
s) $95\div27$
t) $495\div55$
u) $716\div142$
v) $360\div63$
w) $546\div77$
x) $6736\div842$
y) $2507/453$
z) $19\,443\div2476$
Question 5
Use the 'chunking' method to answer these questions. Any remainders should be in the form $3\frac34$.
a) $69\div3$
b) $185\div5$
c) $545\div6$
d) $688\div8$
e) $544\div3$
f) $621\div8$
g) $544\div9$
h) $902\div5$
i) $758\div3$
j) $907\div6$
k) $592\div8$
l) $182\div11$
m) $587\div12$
n) $9033\div3$
o) $6821\div5$
p) $9125\div3$
q) $8123\div6$
r) $6242\div7$
Question 6
Use short division (also known as the 'bus stop' method) to answer these questions:
a) $28\div2$
b) $86\div2$
c) $34\div2$
d) $76\div2$
e) $66\div3$
f) $48\div3$
g) $132\div3$
h) $68\div4$
i) $116\div4$
j) $75\div5$
k) $230\div5$
l) $336\div6$
m) $336\div8$
n) $198\div9$
o) $432\div9$
p) $168\div7$
q) $259\div7$
r) $441\div7$
s) $710\div5$
t) $2612\div4$
u) $2730\div6$
v) $5096\div8$
w) $3591\div7$
x) $6165\div9$
y) $24794\div7$
z) $394\,698\div6$
aa) $6\,749\,491\div7$
Question 7
Use short division (also known as the 'bus stop' method) to answer these questions. Any remainders should be in the form "$5r3$"
a) $34\div3$
b) $52\div5$
c) $29\div2$
d) $37\div2$
e) $145\div2$
f) $53\div3$
g) $77\div3$
h) $55\div4$
i) $101\div4$
j) $67\div5$
k) $159\div5$
l) $92\div6$
m) $173\div6$
n) $94\div8$
o) $163\div8$
p) $57\div9$
q) $94\div7$
r) $184\div7$
s) $195\div11$
t) $532\div5$
u) $833\div4$
v) $958\div6$
w) $477\div7$
x) $562\div9$
y) $853\div12$
z) $9127\div7$
Question 8
Use short division (also known as the 'bus stop' method) to answer these questions. Any remainders should be written as fractions e.g. "$2\frac35$"
a) $47\div2$
b) $95\div2$
c) $68\div3$
d) $85\div4$
e) $54\div5$
f) $89\div6$
g) $95\div8$
h) $184\div9$
i) $77\div10$
j) $165\div3$
k) $257\div5$
l) $645\div4$
m) $753\div7$
n) $856\div9$
o) $478\div11$
p) $721\div12$
q) $1084\div3$
r) $8219\div6$
s) $2483\div7$
Answers
Question 1
a) $1$
b) $1$
c) $1$
d) $3$
e) $12$
f) $2$
g) $3$
h) $5$
i) $8$
j) $3$
k) $8$
l) $10$
m) $2$
n) $4$
o) $6$
p) $9$
q) $3$
r) $5$
s) $11$
t) $6$
u) $8$
v) $9$
w) $4$
x) $7$
y) $9$
z) $5$
aa) $8$
ab) $10$
ac) $3$
ad) $7$
ae) $11$
af) $2$
ag) $5$
ah) $10$
ai) $12$
aj) $2$
ak) $6$
al) $8$
am) $4$
an) $6$
ao) $9$
ap) $12$
Question 2
a) $1r1$
b) $2r1$
c) $1r1$
d) $1r4$
e) $7r6$
f) $1r2$
g) $3r2$
h) $9r2$
i) $1r3$
j) $7r3$
k) $3r1$
l) $9r3$
m) $3r2$
n) $7r2$
o) $3r3$
p) $2r2$
q) $5r3$
r) $9r6$
s) $4r3$
t) $9r6$
u) $11r8$
v) $1r4$
w) $6r5$
x) $9r7$
y) $12r5$
Question 3
a) $1\frac23$
b) $1\frac45$
c) $3\frac13$
d) $2\frac45$
e) $6\frac23$
f) $3\frac16$
g) $2\frac{9}{10}$
h) $4\frac16$
i) $4\frac18$
j) $2\frac78$
k) $2\frac17$
l) $6\frac37$
m) $3\frac79$
n) $5\frac13$
o) $7\frac{7}{10}$
p) $7\frac{2}{9}$
q) $8\frac{3}{8}$
r) $5\frac{5}{11}$
s) $1\frac{5}{12}$
t) $9\frac{5}{12}$
u) $20\frac{2}{3}$
v) $12\frac{1}{4}$
w) $10\frac{5}{8}$
x) $12\frac{2}{9}$
y) $12\frac{11}{12}$
Question 4
a) $4$
b) $6$
c) $7$
d) $5$
e) $2r1$
f) $3r4$
g) $4$
h) $2$
i) $3$
j) $2r2$
k) $3r7$
l) $5$
m) $3$
n) $6r2$
o) $5$
p) $8r3$
q) $8$
r) $5r3$
s) $3r14$
t) $9$
u) $5r6$
v) $4r8$
w) $7r7$
x) $8$
y) $5r242$
z) $7r2111$
Question 5
a) $23$
b) $37$
c) $90\frac56$
d) $86$
e) $181\frac13$
f) $77\frac58$
g) $60\frac49$
h) $180\frac25$
i) $252\frac23$
j) $151\frac16$
k) $74$
l) $16\frac{6}{11}$
m) $48\frac{11}{12}$
n) $3011$
o) $1362\frac15$
p) $3041\frac23$
q) $1353\frac56$
r) $891\frac57$
Question 6
a) $14$
b) $43$
c) $17$
d) $38$
e) $22$
f) $16$
g) $44$
h) $17$
i) $29$
j) $15$
k) $46$
l) $56$
m) $42$
n) $22$
o) $48$
p) $24$
q) $37$
r) $63$
s) $142$
t) $635$
u) $455$
v) $637$
w) $513$
x) $685$
y) $3542$
z) $65\,783$
aa) $964\,213$
Question 7
a) $11r1$
b) $10r2$
c) $14r1$
d) $18r1$
e) $72r1$
f) $17r1$
g) $25r2$
h) $13r3$
i) $25r1$
j) $13r2$
k) $31r4$
l) $15r2$
m) $28r5$
n) $11r6$
o) $20r3$
p) $6r3$
q) $13r3$
r) $26r2$
s) $17r8$
t) $106r2$
u) $208r1$
v) $159r4$
w) $68r1$
x) $62r4$
y) $71r1$
z) $1303r6$
Question 8
a) $23\frac12$
b) $47\frac12$
c) $22\frac23$
d) $21\frac14$
e) $10\frac45$
f) $14\frac56$
g) $11\frac78$
h) $20\frac49$
i) $7\frac{7}{10}$
j) $55\frac13$
k) $51\frac25$
l) $161\frac14$
m) $107\frac47$
n) $95\frac19$
o) $43\frac{5}{11}$
p) $60\frac{1}{12}$
q) $361\frac13$
r) $1369\frac56$
s) $354\frac57$
Solutions
Question 1
a) How many times does the number $1$ go into $1$? Once! So the answer is $1$
b)
c)
d)
e)
f) How many times does the number $2$ go into $4$? Twice! So the answer is $2$
g) How many times does the number $2$ go into $6$? Three times! So the answer is $3$
h)
i)
j)
k)
l)
m)
n)
o)
p)
q)
r)
s)
t)
u)
v)
w)
x)
y)
z)
aa)
ab)
ac)
ad)
ae)
af)
ag)
ah)
ai)
aj)
ak)
al)
am)
an)
ao)
ap)
Question 2
a) How many times does the number $2$ go into $3$? We know that $2$ goes into $2$ once, however we have $1$ left over. So we express our answer as $1r1$
b) How many times does the number $2$ go into $5$? We know that $2$ goes into $4$ twice, however we have $1$ left over. So we express our answer as $2r1$
c) How many times does the number $3$ go into $4$? We know that $3$ goes into $3$ once, however we have $1$ left over. So we express our answer as $1r1$
d) How many times does the number $10$ go into $14$? We know that $10$ goes into $10$ once, however we have $4$ left over. So we express our answer as $1r4$
e) How many times does the number $10$ go into $76$? We know that $10$ goes into $70$ seven times, however we have $6$ left over. So we express our answer as $7r6$
f)
g)
h)
i)
j)
k)
l)
m)
n)
o)
p)
q)
r)
s)
t)
u)
v)
w)
x)
y)
Question 3
a) $5\div3=1r2$. The remainder still needs to be divided by $3$ so we can express the remainder as $\frac23$. Therefore the answer is $1\frac23$
b) $9\div5=1r4$. The remainder still needs to be divided by $5$ so we can express the remainder as $\frac45$. Therefore the answer is $1\frac45$
c) $10\div3=3r1$. The remainder still needs to be divided by $3$ so we can express the remainder as $\frac13$. Therefore the answer is $3\frac13$
d) $14\div5=2r4$. The remainder still needs to be divided by $5$ so we can express the remainder as $\frac45$. Therefore the answer is $2\frac45$
e)
f)
g)
h)
i)
j)
k)
l)
m)
n)
o)
p)
q)
r)
s)
t)
u)
v)
w)
x)
y)
Question 4
a) $12\div3$
$\,\,12\\\underline{-3}\,\,\,\,(1\times3)\\\,\,\,\,\,9\\\underline{-3}\,\,\,\,(1\times3)\\\,\,\,\,\,6\\\underline{-3}\,\,\,\,(1\times3)\\\,\,\,\,\,3\\\underline{-3}\,\,\,\,(1\times3)\\\,\,\,\,\,0$
We have take away a total of four $3$'s so
$12\div3=4$
b) $18\div3$
$\,\,\,\,\,18\\\underline{-15}\,\,\,\,(5\times3)\\\,\,\,\,\,\,\,\,3\\\,\,\,\underline{-3}\,\,\,\,(1\times3)\\\,\,\,\,\,\,\,\,0$
We have take away a total of six $3$'s so
$18\div3=6$
c) $28\div4$
$\,\,\,\,\,28\\\underline{-20}\,\,\,\,(5\times4)\\\,\,\,\,\,\,\,\,8\\\,\,\,\underline{-8}\,\,\,\,(2\times3)\\\,\,\,\,\,\,\,\,0$
We have take away a total of seven $4$'s so
$28\div4=7$
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
n) $110\div18$
$\,\,110\\\underline{-90}\,\,\,\,(5\times18)\\\,\,\,\,\,20\\\underline{-18}\,\,\,\,(1\times18)\\\,\,\,\,\,\,\,\,2$
We have take away a total of six $18$'s and have $2$ left so
$110\div18=6r2$
o)
p)
q)
r)
s)
t)
u)
v)
w)
x)
y)
z)
Question 5
a) $69\div3$
$\,\,\,\,\,69\\\underline{-30}\,\,\,\,(10\times3)\\\,\,\,\,\,39\\\underline{-30}\,\,\,\,(10\times3)\\\,\,\,\,\,\,\,\,9\\\,\,\,\underline{-9}\,\,\,\,(3\times3)\\\,\,\,\,\,\,\,\,0$
We have take away a total of twenty-three $3$'s so
$69\div3=23$
b) $185\div5$
$\,\,\,\,\,185\\\underline{-100}\,\,\,\,(20\times5)\\\,\,\,\,\,\,\,\,85\\\,\,\,\underline{-50}\,\,\,\,(10\times5)\\\,\,\,\,\,\,\,\,35\\\,\,\,\underline{-35}\,\,\,\,(7\times5)\\\,\,\,\,\,\,\,\,\,\,\,0$
We have take away a total of thirty-seven $5$'s so
$185\div5=37$
c) $545\div6$
$\,\,\,\,\,545\\\underline{-540}\,\,\,\,(90\times6)\\\,\,\,\,\,\,\,\,\,\,\,5$
We have take away a total of ninety $6$'s and we have $5$ remaining so
$545\div6=90\frac56$
d)
e)
f) $621\div8$
$\,\,\,\,\,621\\\underline{-560}\,\,\,\,(70\times8)\\\,\,\,\,\,\,\,\,61\\\,\,\,\underline{-56}\,\,\,\,(7\times8)\\\,\,\,\,\,\,\,\,\,\,\,5$
We have take away a total of seventy-seven $8$'s and we have $5$ remaining so
$621\div8=77\frac58$
g)
h)
i)
j)
k)
l) $182\div11$
$\,\,\,\,\,182\\\underline{-110}\,\,\,\,(10\times11)\\\,\,\,\,\,\,\,\,72\\\,\,\,\underline{-66}\,\,\,\,(6\times11)\\\,\,\,\,\,\,\,\,\,\,\,6$
We have take away a total of sixteen $11$'s and we have $6$ remaining so
$182\div11=16\frac{6}{11}$
m)
n)
o)
p)
q)
r)
Question 6
a) $\begin{align}14\\2\overline{)28}\end{align}$
b)
c)
d) $\begin{align}38\\2\overline{)7^16}\end{align}$
e)
f) $\begin{align}16\\3\overline{)4^18}\end{align}$
g)
h)
i)
j)
k)
l)
m)
n)
o) $\begin{align}4\,\,\,8\\9\overline{)4^43^72}\end{align}$
p)
q)
r)
s)
t)
u)
v)
w)
x)
y)
z)
aa)
Question 7
a) $\begin{align}11&r1\\3\overline{)34}\end{align}$
b) $\begin{align}10&r2\\5\overline{)52}\end{align}$
c) $\begin{align}14&r1\\2\overline{)29}\end{align}$
d) $\begin{align}1\,\,8&r1\\2\overline{)3^17}\end{align}$
e) $\begin{align}72&r1\\2\overline{)1^145}\end{align}$
f)
g)
h)
i)
j)
k)
l)
m)
n)
o)
p)
q)
r)
s)
t)
u)
v)
w)
x)
y)
z)
Question 8
a) $\begin{align}23&\tfrac12\\2\overline{)47}\end{align}$
b) $\begin{align}4\,\,\,7&\tfrac12\\2\overline{)9^15}\end{align}$
c) $\begin{align}22&\tfrac23\\3\overline{)68}\end{align}$
d)
e)
f) $\begin{align}14&\tfrac56\\6\overline{)8^29}\end{align}$
g)
h)
i)
j) $\begin{align}5\,\,\,5&\tfrac13\\3\overline{)1^16^16}\end{align}$
k)
l) $\begin{align}1\,\,61&\tfrac14\\4\overline{)6^245}\end{align}$
m)
n)
o)
p)
q)
r)
s)