Mr Daniels Maths
Percentages: Problems

Set 1

Set 2

Set 3

Q1) There two colours of beads in a bag. \(\frac{11}{20}\) are blue the rest are green. What percentage of the beads are green? [ 45%]

Q1) There are 600 pencils in a tin, of colour red,blue and purple. 25% are red and \(\frac{3}{20}\) are blue, the rest are purple.
a) What percentage of the pencils are purple?
b) What fraction of the pencils are purple?
c) How many purple pencils are there? [ a) 60% of the pencils are purple. b) \(\frac{3}{5}\) of the pencils are purple. c) 360 beads. ]

Q1) There is a large bar of chocolate. Harley eats 15% of the bar. Alfie eats \(\frac{1}{4}\) of the bar. Alex has the rest which is 6 blocks. How many blocks of chocolate were there to begin with? [ 10 blocks of chocolate.]

Q2) There two colours of beads in a bag. \(\frac{17}{20}\) are blue the rest are purple. What percentage of the beads are purple? [ 15%]

Q2) There are 200 sweets in a box, of colour yellow,red and blue. 40% are yellow and \(\frac{3}{20}\) are red, the rest are blue.
a) What percentage of the sweets are blue?
b) What fraction of the sweets are blue?
c) How many blue sweets are there? [ a) 45% of the sweets are blue. b) \(\frac{9}{20}\) of the sweets are blue. c) 90 beads. ]

Q2) There is a large bar of chocolate. Sam eats 15% of the bar. Sabrina eats \(\frac{1}{4}\) of the bar. Ariel has the rest which is 9 blocks. How many blocks of chocolate were there to begin with? [ 15 blocks of chocolate.]

Q3) There two colours of beads in a bag. 50% are red the rest are green. What fraction of the beads are green? [ \(\frac{1}{2}\)]

Q3) There are three colour of sweets in a draw, blue,red and purple. 35% are blue and \(\frac{1}{4}\) are red, the rest are purple.
a) What percentage of the beads are purple?
b) What fraction of the beads are purple? [ a) 40% of the sweets are purple. b) \(\frac{2}{5}\) of the sweets are purple. ]

Q3) There is a large bar of chocolate. Alex eats 20% of the bar. Anna eats \(\frac{9}{20}\) of the bar. Ariel has the rest which is 7 blocks. How many blocks of chocolate were there to begin with? [ 20 blocks of chocolate.]

Q4) There two colours of beads in a bag. \(\frac{7}{10}\) are yellow the rest are red. What percentage of the beads are red? [ 30%]

Q4) There are three colour of apples in a packet, yellow,blue and green. 35% are yellow and \(\frac{2}{5}\) are blue, the rest are green.
a) What percentage of the beads are green?
b) What fraction of the beads are green? [ a) 25% of the apples are green. b) \(\frac{1}{4}\) of the apples are green. ]

Q4) There is a large bar of chocolate. Brady eats 25% of the bar. Kyra eats \(\frac{1}{4}\) of the bar. Jonathan has the rest which is 13 blocks. How many blocks of chocolate were there to begin with? [ 26 blocks of chocolate.]

Q5) There two colours of beads in a bag. \(\frac{11}{20}\) are red the rest are purple. What percentage of the beads are purple? [ 45%]

Q5) There are three colour of pens in a bag, yellow,green and red. 35% are yellow and \(\frac{2}{5}\) are green, the rest are red.
a) What percentage of the beads are red?
b) What fraction of the beads are red? [ a) 25% of the pens are red. b) \(\frac{1}{4}\) of the pens are red. ]

Q5) There is a large bar of chocolate. Harley eats 30% of the bar. Teagan eats \(\frac{9}{20}\) of the bar. Alex has the rest which is 16 blocks. How many blocks of chocolate were there to begin with? [ 64 blocks of chocolate.]