# Number - Fractions of Amounts

a - answer    s - solution    v - video    d - discussion

## Question 1

Calculate:

a) $\frac12$ of $6$a s v d
b) $\frac12$ of $10$a s v d
c) $\frac13$ of $6$a s v d
d) $\frac13$ of $12$a s v d
e) $\frac14$ of $12$a s v d
f) $\frac14$ of $4$a s v d
g) $\frac15$ of $30$a s v d
h) $\frac15$ of $45$a s v d
i) $\frac16$ of $12$a s v d
j) $\frac17$ of $28$a s v d
k) $\frac18$ of $8$a s v d
l) $\frac{1}{10}$ of $60$a s v d
m) $\frac{1}{9}$ of $54$a s v d
n) $\frac{1}{9}$ of $99$a s v d
o) $\frac{1}{11}$ of $66$a s v d
p) $\frac{1}{12}$ of $36$a s v d
q) $\frac{1}{12}$ of $72$a s v d
r) $\frac{1}{13}$ of $39$a s v d

## Question 2

Calculate:

a) $\frac12\times8$a s v d
b) $\frac13\times15$a s v d
c) $\frac14\times16$a s v d
d) $\frac15\times30$a s v d
e) $\frac16\times42$a s v d
f) $\frac19\times36$a s v d
g) $\frac{1}{10}\times110$a s v d
h) $\frac{1}{12}\times84$a s v d

## Question 3

Calculate:

a) $\frac23$ of $6$a s v d
b) $\frac23$ of $12$a s v d
c) $\frac25$ of $10$a s v d
d) $\frac25$ of $25$a s v d
e) $\frac34$ of $16$a s v d
f) $\frac34$ of $36$a s v d
g) $\frac35$ of $15$a s v d
h) $\frac35$ of $35$a s v d
i) $\frac45$ of $40$a s v d
j) $\frac56$ of $48$a s v d
k) $\frac38$ of $8$a s v d
l) $\frac78$ of $40$a s v d
m) $\frac{9}{10}$ of $40$a s v d
n) $\frac{4}{7}$ of $14$a s v d
o) $\frac{2}{7}$ of $77$a s v d
p) $\frac{5}{9}$ of $45$a s v d
q) $\frac{7}{9}$ of $72$a s v d
r) $\frac{11}{12}$ of $144$a s v d

## Question 4

Calculate:

a) $\frac35\times20$a s v d
b) $\frac56\times18$a s v d
c) $\frac58\times56$a s v d
d) $\frac{3}{10}\times50$a s v d
e) $\frac{7}{8}\times88$a s v d
f) $\frac{1}{11}\times121$a s v d
g) $\frac{5}{12}\times60$a s v d
h) $\frac{4}{13}\times52$a s v d

## Question 5

Calculate:

a) $\frac32\times6$a s v d
b) $\frac32$ of $10$a s v d
c) $\frac52\times10$a s v d
d) $\frac43$ of $18$a s v d
e) $\frac73\times3$a s v d
f) $\frac75\times10$a s v d
g) $\frac{11}{5}$ of $15$a s v d
h) $\frac{7}{6}$ of $36$a s v d
i) $\frac{8}{7}\times63$a s v d
j) $\frac{13}{9}$ of $18$a s v d
k) $\frac{11}{10}\times100$a s v d
l) $\frac{15}{2}\times6$a s v d

## Question 6

Calculate:

a) $1\frac12\times10$a s v d
b) $2\frac12$ of $8$a s v d
c) $1\frac13\times15$a s v d
d) $1\frac15$ of $20$a s v d
e) $2\frac14$ of $12$a s v d
f) $3\frac15\times30$a s v d
g) $1\frac23\times6$a s v d
h) $2\frac23\times33$a s v d
i) $1\frac35$ of $50$a s v d
j) $2\frac38$ of $32$a s v d
k) $3\frac49\times72$a s v d
l) $5\frac34\times24$a s v d
m) $10\frac{2}{11}$ of $22$a s v d
n) $5\frac{8}{17}$ of $51$a s v d

## Question 7

Find:

a) Increase $10$ by $\frac12$a s v d
b) Increase $6$ by $\frac13$a s v d
c) Increase $20$ by $\frac14$a s v d
d) Increase $40$ by $\frac15$a s v d
e) Increase $16$ by $\frac34$a s v d
f) Increase $30$ by $\frac23$a s v d
g) Increase $25$ by $\frac25$a s v d
h) Increase $45$ by $\frac35$a s v d
i) Increase $21$ by $\frac57$a s v d
j) Increase $10$ by $\frac32$a s v d
k) Increase $12$ by $\frac53$a s v d
l) Increase $30$ by $\frac{11}{5}$a s v d
m) Increase $18$ by $1\frac13$a s v d
n) Increase $35$ by $2\frac25$a s v d

## Question 8

Find:

a) Decrease $8$ by $\frac12$a s v d
b) Decrease $15$ by $\frac13$a s v d
c) Decrease $32$ by $\frac18$a s v d
d) Decrease $110$ by $\frac{1}{10}$a s v d
e) Decrease $20$ by $\frac25$a s v d
f) Decrease $28$ by $\frac34$a s v d
g) Decrease $45$ by $\frac45$a s v d
h) Decrease $63$ by $\frac79$a s v d
i) Decrease $5$ by $\frac45$a s v d
j) Decrease $10$ by $\frac32$a s v d
k) Decrease $21$ by $\frac53$a s v d
l) Decrease $36$ by $\frac94$a s v d
m) Decrease $27$ by $2\frac13$a s v d
n) Decrease $48$ by $5\frac38$a s v d

## Question 9

a) After decreasing a number by $\frac12$ you get $4$. What was the original number?a s v d

b) After decreasing a number by $\frac13$ you get $4$. What was the original number?a s v d

c) After decreasing a number by $\frac12$ you get $10$. What was the original number?a s v d

d) After decreasing a number by $\frac13$ you get $10$. What was the original number?a s v d

e) After decreasing a number by $\frac14$ you get $6$. What was the original number?a s v d

f) After decreasing a number by $\frac15$ you get $20$. What was the original number?a s v d

g) After decreasing a number by $\frac23$ you get $5$. What was the original number?a s v d

h) After decreasing a number by $\frac47$ you get $18$. What was the original number?a s v d

## Question 10

a) After increasing a number by $\frac12$ you get $6$. What was the original number?a s v d

b) After increasing a number by $\frac12$ you get $12$. What was the original number?a s v d

c) After increasing a number by $\frac13$ you get $8$. What was the original number?a s v d

d) After increasing a number by $\frac14$ you get $10$. What was the original number?a s v d

e) After increasing a number by $\frac15$ you get $24$. What was the original number?a s v d

f) After increasing a number by $\frac17$ you get $16$. What was the original number?a s v d

g) After increasing a number by $\frac25$ you get $21$. What was the original number?a s v d

h) After increasing a number by $\frac76$ you get $104$. What was the original number?a s v d

## Question 11

a) I have $\$40$and spend$\frac12$of it. How much did I spend?a s v d b) John ate$\frac13$of his chocolate bar. The chocolate bar had$21$squares. How much did he eat?a s v d c) Dallas the dog ate$\frac15$of a sausage. The sausage weighed$45$g. How much sausage did Dallas eat?a s v d d) After gardening, Sophie cut off the top$\frac23$of a plant that measured$87$cm. How much of the plant did she cut off?a s v d e) On a$430$km trip to the country, we stopped for a break$\frac25$of the way there. At what distance did we stop?a s v d f) To make dinner less spicy, Alice took out$\frac27$of the$7$chillies. How many chillies were left?a s v d g) There was a powercut$\frac58$of the way through a$1$hour$20$minute film. How far into the film was there a powercut?a s v d h)$10$is half of what number?a s v d i)$50$is quarter of what number?a s v d j)$15$is$\frac35$of what number?a s v d k) I spend$\frac34$of my money and have$\$3$ left. How much did I have before I spent it?a s v d
l) I spend $\frac16$ of my allowance and have $\$25$left. How much did I spend?a s v d m) Lee has$32$stickers. He gave half of them to Tom and then a quarter of the remianing to Lily. How many stickers does Lee still have?a s v d n) A quarter of the students in a school play Cricket.$108$of the students don't play cricket. How many students are in the school?a s v d o) Jenny received a promotion at work and her salary increased by$\frac15$. She now earns$\$23100$. How much did she earn before her promotion?a s v d
p) Tom sold his car for $\frac37$ less than the price he paid for it. He sold his car for $\$2612\$. How much money did Tom loose from owning the car?a s v d