Mr Daniels Maths
Percentages: Problems

Set 1

Set 2

Set 3

Q1) There two colours of beads in a bag. \(\frac{4}{5}\) are green the rest are blue. What percentage of the beads are blue? [ 20%]

Q1) There are 200 apples in a tin, of colour yellow,purple and green. 10% are yellow and \(\frac{7}{20}\) are purple, the rest are green.
a) What percentage of the apples are green?
b) What fraction of the apples are green?
c) How many green apples are there? [ a) 55% of the apples are green. b) \(\frac{11}{20}\) of the apples are green. c) 110 beads. ]

Q1) There is a large bar of chocolate. Alex eats 35% of the bar. Hammid eats \(\frac{3}{20}\) of the bar. Kyra has the rest which is 5 blocks. How many blocks of chocolate were there to begin with? [ 10 blocks of chocolate.]

Q2) There two colours of beads in a bag. \(\frac{1}{2}\) are yellow the rest are red. What percentage of the beads are red? [ 50%]

Q2) There are 300 pencils in a draw, of colour green,blue and yellow. 20% are green and \(\frac{2}{5}\) are blue, the rest are yellow.
a) What percentage of the pencils are yellow?
b) What fraction of the pencils are yellow?
c) How many yellow pencils are there? [ a) 40% of the pencils are yellow. b) \(\frac{2}{5}\) of the pencils are yellow. c) 120 beads. ]

Q2) There is a large bar of chocolate. Hammid eats 40% of the bar. Harley eats \(\frac{2}{5}\) of the bar. Monique has the rest which is 7 blocks. How many blocks of chocolate were there to begin with? [ 35 blocks of chocolate.]

Q3) There two colours of beads in a bag. 10% are red the rest are yellow. What fraction of the beads are yellow? [ \(\frac{9}{10}\)]

Q3) There are 500 pencils in a box, of colour purple,green and blue. 40% are purple and \(\frac{3}{20}\) are green, the rest are blue.
a) What percentage of the pencils are blue?
b) What fraction of the pencils are blue?
c) How many blue pencils are there? [ a) 45% of the pencils are blue. b) \(\frac{9}{20}\) of the pencils are blue. c) 225 beads. ]

Q3) There is a large bar of chocolate. Jenson eats 35% of the bar. Anna eats \(\frac{9}{20}\) of the bar. Joseph has the rest which is 15 blocks. How many blocks of chocolate were there to begin with? [ 75 blocks of chocolate.]

Q4) There two colours of beads in a bag. 40% are green the rest are purple. What fraction of the beads are purple? [ \(\frac{3}{5}\)]

Q4) There are 500 apples in a bag, of colour purple,blue and yellow. 35% are purple and \(\frac{9}{20}\) are blue, the rest are yellow.
a) What percentage of the apples are yellow?
b) What fraction of the apples are yellow?
c) How many yellow apples are there? [ a) 20% of the apples are yellow. b) \(\frac{1}{5}\) of the apples are yellow. c) 100 beads. ]

Q4) There is a large bar of chocolate. Eva eats 40% of the bar. Alfie eats \(\frac{1}{2}\) of the bar. Sam has the rest which is 4 blocks. How many blocks of chocolate were there to begin with? [ 40 blocks of chocolate.]

Q5) There two colours of beads in a bag. 25% are yellow the rest are red. What fraction of the beads are red? [ \(\frac{3}{4}\)]

Q5) There are three colour of apples in a tin, blue,red and yellow. 30% are blue and \(\frac{1}{10}\) are red, the rest are yellow.
a) What percentage of the beads are yellow?
b) What fraction of the beads are yellow? [ a) 60% of the apples are yellow. b) \(\frac{3}{5}\) of the apples are yellow. ]

Q5) There is a large bar of chocolate. Kyra eats 30% of the bar. Prabjot eats \(\frac{3}{20}\) of the bar. Jennine has the rest which is 11 blocks. How many blocks of chocolate were there to begin with? [ 20 blocks of chocolate.]