Mr Daniels Maths
Percentages: Problems

Set 1

Set 2

Set 3

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

Q1) There are 500 apples in a tin, of colour purple,red and yellow. 45% are purple and \(\frac{2}{5}\) are red, 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) 15% of the apples are yellow. b) \(\frac{3}{20}\) of the apples are yellow. c) 75 beads. ]

Q1) There is a large bar of chocolate. Julie eats 30% of the bar. Steven eats \(\frac{1}{2}\) of the bar. McKenzie has the rest which is 5 blocks. How many blocks of chocolate were there to begin with? [ 25 blocks of chocolate.]

Q2) There two colours of beads in a bag. 35% are red the rest are purple. What fraction of the beads are purple? [ \(\frac{13}{20}\)]

Q2) There are 400 apples in a bag, of colour yellow,purple and red. 40% are yellow and \(\frac{1}{4}\) are purple, the rest are red.
a) What percentage of the apples are red?
b) What fraction of the apples are red?
c) How many red apples are there? [ a) 35% of the apples are red. b) \(\frac{7}{20}\) of the apples are red. c) 140 beads. ]

Q2) There is a large bar of chocolate. Jaden eats 25% of the bar. Lumaya eats \(\frac{1}{4}\) of the bar. Alfie has the rest which is 18 blocks. How many blocks of chocolate were there to begin with? [ 36 blocks of chocolate.]

Q3) There two colours of beads in a bag. \(\frac{3}{4}\) are purple the rest are red. What percentage of the beads are red? [ 25%]

Q3) There are 600 sweets in a box, of colour green,blue and purple. 30% are green and \(\frac{2}{5}\) are blue, the rest are purple.
a) What percentage of the sweets are purple?
b) What fraction of the sweets are purple?
c) How many purple sweets are there? [ a) 30% of the sweets are purple. b) \(\frac{3}{10}\) of the sweets are purple. c) 180 beads. ]

Q3) There is a large bar of chocolate. Sabrina eats 40% of the bar. Alex eats \(\frac{2}{5}\) of the bar. Jonathan has the rest which is 13 blocks. How many blocks of chocolate were there to begin with? [ 65 blocks of chocolate.]

Q4) There two colours of beads in a bag. \(\frac{13}{20}\) are purple the rest are red. What percentage of the beads are red? [ 35%]

Q4) There are three colour of sweets in a tin, purple,green and red. 50% are purple and \(\frac{1}{5}\) are green, the rest are red.
a) What percentage of the beads are red?
b) What fraction of the beads are red? [ a) 30% of the sweets are red. b) \(\frac{3}{10}\) of the sweets are red. ]

Q4) There is a large bar of chocolate. Hammid eats 25% of the bar. Julie eats \(\frac{1}{4}\) of the bar. Hassan has the rest which is 16 blocks. How many blocks of chocolate were there to begin with? [ 32 blocks of chocolate.]

Q5) There two colours of beads in a bag. \(\frac{9}{10}\) are green the rest are purple. What percentage of the beads are purple? [ 10%]

Q5) There are 400 sweets in a bag, of colour red,blue and green. 50% are red and \(\frac{9}{20}\) are blue, the rest are green.
a) What percentage of the sweets are green?
b) What fraction of the sweets are green?
c) How many green sweets are there? [ a) 5% of the sweets are green. b) \(\frac{1}{20}\) of the sweets are green. c) 20 beads. ]

Q5) There is a large bar of chocolate. Jennine eats 50% of the bar. Jonathan eats \(\frac{7}{20}\) of the bar. Teagan has the rest which is 9 blocks. How many blocks of chocolate were there to begin with? [ 60 blocks of chocolate.]