Mr Daniels Maths
Percentages: Problems

Set 1

Set 2

Set 3

Q1) There two colours of beads in a bag. \(\frac{3}{5}\) are green the rest are blue. What percentage of the beads are blue? [ 40%]

Q1) There are three colour of pens in a bag, red,blue and yellow. 20% are red and \(\frac{3}{20}\) are blue, the rest are yellow.
a) What percentage of the beads are yellow?
b) What fraction of the beads are yellow? [ a) 65% of the pens are yellow. b) \(\frac{13}{20}\) of the pens are yellow. ]

Q1) There is a large bar of chocolate. Joseph eats 40% of the bar. Jennine eats \(\frac{1}{2}\) of the bar. Alex has the rest which is 7 blocks. How many blocks of chocolate were there to begin with? [ 70 blocks of chocolate.]

Q2) There two colours of beads in a bag. 10% are blue the rest are red. What fraction of the beads are red? [ \(\frac{9}{10}\)]

Q2) There are three colour of apples in a bag, yellow,blue and red. 20% are yellow and \(\frac{1}{10}\) are blue, the rest are red.
a) What percentage of the beads are red?
b) What fraction of the beads are red? [ a) 70% of the apples are red. b) \(\frac{7}{10}\) of the apples are red. ]

Q2) There is a large bar of chocolate. Kyra eats 50% of the bar. Ariel eats \(\frac{2}{5}\) of the bar. Logun has the rest which is 4 blocks. How many blocks of chocolate were there to begin with? [ 40 blocks of chocolate.]

Q3) There two colours of beads in a bag. 35% are blue the rest are red. What fraction of the beads are red? [ \(\frac{13}{20}\)]

Q3) There are 300 sweets in a box, of colour yellow,green and red. 50% are yellow and \(\frac{9}{20}\) are green, the rest are red.
a) What percentage of the sweets are red?
b) What fraction of the sweets are red?
c) How many red sweets are there? [ a) 5% of the sweets are red. b) \(\frac{1}{20}\) of the sweets are red. c) 15 beads. ]

Q3) There is a large bar of chocolate. Nathan eats 20% of the bar. Monique eats \(\frac{2}{5}\) of the bar. Lumaya has the rest which is 12 blocks. How many blocks of chocolate were there to begin with? [ 30 blocks of chocolate.]

Q4) There two colours of beads in a bag. \(\frac{9}{10}\) are green the rest are red. What percentage of the beads are red? [ 10%]

Q4) There are three colour of pens in a box, yellow,purple and red. 35% are yellow and \(\frac{3}{20}\) are purple, the rest are red.
a) What percentage of the beads are red?
b) What fraction of the beads are red? [ a) 50% of the pens are red. b) \(\frac{1}{2}\) of the pens are red. ]

Q4) There is a large bar of chocolate. Alfie eats 50% of the bar. Luke eats \(\frac{1}{4}\) of the bar. Nathan has the rest which is 10 blocks. How many blocks of chocolate were there to begin with? [ 40 blocks of chocolate.]

Q5) There two colours of beads in a bag. \(\frac{4}{5}\) are blue the rest are yellow. What percentage of the beads are yellow? [ 20%]

Q5) There are 400 pencils in a box, of colour red,green and yellow. 35% are red and \(\frac{9}{20}\) are green, 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) 20% of the pencils are yellow. b) \(\frac{1}{5}\) of the pencils are yellow. c) 80 beads. ]

Q5) There is a large bar of chocolate. Prabjot eats 10% of the bar. Sabrina eats \(\frac{1}{10}\) of the bar. Alfie has the rest which is 20 blocks. How many blocks of chocolate were there to begin with? [ 25 blocks of chocolate.]