Use your knowledge of fractions and percentages to solve the following word problems:
1. Anna borrowed £350 from Sam in the month of May. She paid £100 back to him in June and £150 back in July. What fraction of the borrowed amount did Anna have left to pay back?
2. In a football club of 40 pupils, 4 were absent. What fraction of the pupils were present?
3. Following are the results of a survey conducted among 36 pupils about their favourite sandwich:
Type of sandwich No: of votes
Peanut Butter 6
Grilled Cheese 9
Chocolate spread 9
Jam and Butter 12
What fraction of the pupils like
a) Jam and Butter
b) Chocolate spread
c) Grilled Cheese
d) Peanut Butter?
4. If 4 apples were shared equally among 6 children, how much apple would each receive?
5. If you had to share 6 pizzas equally among 15 children, how many slices should you cut one pizza into? What fraction of a pizza would 1 child receive?
6. The following table shows the result of a survey conducted among children about their favourite after school activities:
Type of activity Number
Swimming 16
Football 32
Martial arts 12
Hockey 10
Gymnastics 10
a) What fraction of children liked hockey?
b) What percentage of children liked football?
c) What percentage of children liked swimming?
d) What fraction of children liked gymnastics?
e) What percentage of children liked football?
7. The capacity of a water bottle is 2 litres. How much water will be in the bottle if it's 4/5 full?
8. If 360 ml of oil is left in a half litre oil can, what percentage of it is full?
9. The following table shows the amount of rainfall received by a town from September to December.
Month Rainfall in cm
September 50
October 75
November 100
December 25
a) What percentage of total rainfall is received in the month of September?
b) What percentage of total rainfall is received in the month of November?
c) What fraction of total rainfall is received in the month of October?
d) What percentage of total rainfall is received in the month of December?
10) What fraction of an hour is 5 minutes?
Tuesday, 25 November 2014
Wednesday, 19 November 2014
Word problems
1. Anna bought 3 cakes. She paid with a £5 note and got 8p change. How much did each cake cost?
2. Anna shared her bag of sweets with five friends. If everyone received 5 sweets each, how many sweets were in the bag?
3. Anna bought two scarves (of the same price) and a hat. The hat's price is half the price of one scarf. If she paid £50 in total, what is the price of a scarf?
4. Anna bought a plant which was 10 cm tall. By the end of week 1, it has grown 5 cm taller and then it grew 2 cm taller every week. What was the plant's height by the end of week 5?
5. Anna had £15.50 in her piggy bank. She saved £1.15 every week. How much money would she have after 9 weeks?
6. Anna's father won £1000 in lottery. He kept 1/2 to himself. He gave 1/4 of the remaining amount to Anna. He counted the money left over and gave a fraction of it to her brother. What fraction of the amount left over did he give her brother so that he gets the same amount as Anna?
7. A pen costs £2.25. What is the maximum number of pens that can be bought for £20?
8. Cans are arranged in a box in layers of 12. If there are 16 layers in total, how many cans are there in the box?
9. 2 bottles of 250 ml orange squash is mixed with 2 litres of water in a large pitcher. How many 250 ml cups can be filled with squash from the pitcher?
10. Spring rolls are sold in packs of 5. Anna decides to serve 2 spring rolls per guest in the party. How many packs should she buy if she invites 45 guests?
2. Anna shared her bag of sweets with five friends. If everyone received 5 sweets each, how many sweets were in the bag?
3. Anna bought two scarves (of the same price) and a hat. The hat's price is half the price of one scarf. If she paid £50 in total, what is the price of a scarf?
4. Anna bought a plant which was 10 cm tall. By the end of week 1, it has grown 5 cm taller and then it grew 2 cm taller every week. What was the plant's height by the end of week 5?
5. Anna had £15.50 in her piggy bank. She saved £1.15 every week. How much money would she have after 9 weeks?
6. Anna's father won £1000 in lottery. He kept 1/2 to himself. He gave 1/4 of the remaining amount to Anna. He counted the money left over and gave a fraction of it to her brother. What fraction of the amount left over did he give her brother so that he gets the same amount as Anna?
7. A pen costs £2.25. What is the maximum number of pens that can be bought for £20?
8. Cans are arranged in a box in layers of 12. If there are 16 layers in total, how many cans are there in the box?
9. 2 bottles of 250 ml orange squash is mixed with 2 litres of water in a large pitcher. How many 250 ml cups can be filled with squash from the pitcher?
10. Spring rolls are sold in packs of 5. Anna decides to serve 2 spring rolls per guest in the party. How many packs should she buy if she invites 45 guests?
Factors, Multiples and Prime Numbers
1. Write down all the factors of 150.
2. Which of the following numbers is the multiple of both 5 and 6?
10, 15, 25, 30, 36
3. Which of the following set of numbers are the factors of 64?
a) 1, 2, 3, 4, 6, 12, 64
b) 2, 4, 8, 16, 32, 64
c) 1, 3, 4, 8, 16, 64
d) 1, 2, 4, 8, 16, 32, 64
e) 2, 3, 4, 8, 16, 32, 64
4) The sum of all the factors of a number is double the number. Find the number. (a number less than 10)
5) Write down the first five multiples of 3.
Write down the first five multiples of 5.
What is the lowest common multiple of 3 and 5?
6) Write down the first six multiples of 6.
Write down the first six multiples of 8.
What is the lowest common multiple of 6 and 8?
7) Write down the first three multiples of 4.
Write down the first three multiples of 8.
What is the lowest common multiple of 4 and 8.
8) Write down the first ten multiples of 12.
Write down the first ten multiples of 14.
What is the lowest common multiple of 12 and 14?
9) Which of the following numbers has both 7 and 8 as its factors?
48, 49, 56, 64, 72
10) Which of the following numbers has both 3 and 4 as its factors?
64, 72, 80, 86, 90
11) Which of the following numbers has both 3 and 6 as its factors?
78, 64, 82, 88, 93
12) Anna says, "All the multiples of 6 are even numbers." Is she right?
13) Anna says, "All even numbers are divisible by 4." Is she right?
14) All the numbers divisible by 4 are divisible by 2. Are all the numbers divisible by 2 divisible by 4?
15) It is a number less than 20 and has 3 and 5 as its factors. What is the number?
16) It is a number less than 50. It is an even number and has 3 and 7 as its factors. What is the number?
17) Which of the following numbers is a prime number?
15, 51, 81, 83, 93
18) Is number 1 a prime number?
19) What prime number is the nearest to 100?
20) It is a prime number which is less than 100. If you add 1 to it, you will get a multiple of 12. If you subtract 3 from it, you will get a multiple of 10. What is the number?
2. Which of the following numbers is the multiple of both 5 and 6?
10, 15, 25, 30, 36
3. Which of the following set of numbers are the factors of 64?
a) 1, 2, 3, 4, 6, 12, 64
b) 2, 4, 8, 16, 32, 64
c) 1, 3, 4, 8, 16, 64
d) 1, 2, 4, 8, 16, 32, 64
e) 2, 3, 4, 8, 16, 32, 64
4) The sum of all the factors of a number is double the number. Find the number. (a number less than 10)
5) Write down the first five multiples of 3.
Write down the first five multiples of 5.
What is the lowest common multiple of 3 and 5?
6) Write down the first six multiples of 6.
Write down the first six multiples of 8.
What is the lowest common multiple of 6 and 8?
7) Write down the first three multiples of 4.
Write down the first three multiples of 8.
What is the lowest common multiple of 4 and 8.
8) Write down the first ten multiples of 12.
Write down the first ten multiples of 14.
What is the lowest common multiple of 12 and 14?
9) Which of the following numbers has both 7 and 8 as its factors?
48, 49, 56, 64, 72
10) Which of the following numbers has both 3 and 4 as its factors?
64, 72, 80, 86, 90
11) Which of the following numbers has both 3 and 6 as its factors?
78, 64, 82, 88, 93
12) Anna says, "All the multiples of 6 are even numbers." Is she right?
13) Anna says, "All even numbers are divisible by 4." Is she right?
14) All the numbers divisible by 4 are divisible by 2. Are all the numbers divisible by 2 divisible by 4?
15) It is a number less than 20 and has 3 and 5 as its factors. What is the number?
16) It is a number less than 50. It is an even number and has 3 and 7 as its factors. What is the number?
17) Which of the following numbers is a prime number?
15, 51, 81, 83, 93
18) Is number 1 a prime number?
19) What prime number is the nearest to 100?
20) It is a prime number which is less than 100. If you add 1 to it, you will get a multiple of 12. If you subtract 3 from it, you will get a multiple of 10. What is the number?
Tuesday, 11 November 2014
Mental Maths Calculations
34 x 7 = 560 ÷ 8 = 140 ÷ 7 = 324 + 116 =
15 x 4 = 810 ÷ 9 = 290 ÷ 2 = 123 + 320 =
16 x 3 = 640 ÷ 4 = 345 ÷ 5 = 362 + 173 =
45 x 2 = 360 ÷ 9 = 153 ÷ 3 = 404 + 128 =
25 x 16 = 780 ÷ 6 = 233 ÷ 3 = 578 + 345 =
65 x 3 = 480 ÷ 12 = 471 ÷ 3 = 324 - 177 =
78 x 6 = 130 x 7 = 156 ÷ 13 = 230 - 160 =
45 x 4 = 650 ÷ 5 = 57 ÷ 3 = 762 - 452 =
125 ÷ 10 = 860 ÷ 4 = 168 ÷ 8 = 543 - 273 =
760 ÷ 4 = 450 ÷ 5 = 248 ÷ 8 857 - 327 =
15 x 4 = 810 ÷ 9 = 290 ÷ 2 = 123 + 320 =
16 x 3 = 640 ÷ 4 = 345 ÷ 5 = 362 + 173 =
45 x 2 = 360 ÷ 9 = 153 ÷ 3 = 404 + 128 =
25 x 16 = 780 ÷ 6 = 233 ÷ 3 = 578 + 345 =
65 x 3 = 480 ÷ 12 = 471 ÷ 3 = 324 - 177 =
78 x 6 = 130 x 7 = 156 ÷ 13 = 230 - 160 =
45 x 4 = 650 ÷ 5 = 57 ÷ 3 = 762 - 452 =
125 ÷ 10 = 860 ÷ 4 = 168 ÷ 8 = 543 - 273 =
760 ÷ 4 = 450 ÷ 5 = 248 ÷ 8 857 - 327 =
Mean, Median, Mode and Range(Averages)
1) The maths test scores of 11 children are the following:
15, 18, 18, 19, 14 ,14, 15, 15, 17, 16, 15
Find the mean, median, mode and range of the scores.
2) The heights of three brothers are 150 cm, 142 cm and 158 cm. What is the mean height?
3) There are five apples in a pack. The mass of the apples are
120g, 200g, 280g, 170g and 230g. Work out the mean and median.
4) The number of goals scored by a football team in a season are:
1, 2, 4, 3, 3, 2, 0, 1, 2, 3, 3, 1, 2, 2, 1, 2, 2, 3, 3, 0
Find the mean, median, mode and range.
5) The table shows the temperature recorded in a city in a week.
Monday 16°C
Tuesday 18°C
Wednesday 19°C
Thursday 15°C
Friday 17°C
Saturday 18°C
Sunday 16°C
Work out the mean, median, mode and range.
6) Five friends went strawberry picking in a farm. The following table shows the number of strawberries picked by each person.
Anna 135
Sam 127
James 131
John 145
Jake 112
Work out the mean, median and range.
7) The following table shows the amount of rainfall received in the first six months of a year.
January 27 mm
February 13 mm
March 75 mm
April 100 mm
May 25 mm
June 60 mm
Work out the mean, median and range.
8) The following table shows the amount made in lemonade sales during the six weeks of summer.
Week 1 £312
Week 2 £454
Week 3 £530
Week 4 £423
Week 5 £373
Week 6 £477
Work out the mean, median and range.
15, 18, 18, 19, 14 ,14, 15, 15, 17, 16, 15
Find the mean, median, mode and range of the scores.
2) The heights of three brothers are 150 cm, 142 cm and 158 cm. What is the mean height?
3) There are five apples in a pack. The mass of the apples are
120g, 200g, 280g, 170g and 230g. Work out the mean and median.
4) The number of goals scored by a football team in a season are:
1, 2, 4, 3, 3, 2, 0, 1, 2, 3, 3, 1, 2, 2, 1, 2, 2, 3, 3, 0
Find the mean, median, mode and range.
5) The table shows the temperature recorded in a city in a week.
Monday 16°C
Tuesday 18°C
Wednesday 19°C
Thursday 15°C
Friday 17°C
Saturday 18°C
Sunday 16°C
Work out the mean, median, mode and range.
6) Five friends went strawberry picking in a farm. The following table shows the number of strawberries picked by each person.
Anna 135
Sam 127
James 131
John 145
Jake 112
Work out the mean, median and range.
7) The following table shows the amount of rainfall received in the first six months of a year.
January 27 mm
February 13 mm
March 75 mm
April 100 mm
May 25 mm
June 60 mm
Work out the mean, median and range.
8) The following table shows the amount made in lemonade sales during the six weeks of summer.
Week 1 £312
Week 2 £454
Week 3 £530
Week 4 £423
Week 5 £373
Week 6 £477
Work out the mean, median and range.
Thursday, 6 November 2014
Number Seqences
1) 49, 39, 29, 19, ______
2) 49, 45, 39, 38, 29, 32, _____
3) 32, 34, 35, 35, 34, _____
4) 45, 36, 27, 18, _____
5) 1, 1, 2, 6, 24, ___
6) 5, 5, 7, 14, 9, _____
7) 24, 6, 2, 1, _____
8) 4, 5, 9, 14, 23, _____
9) 1, 3, 9, 27, _______
10) 9, 16, 25, 36, 49, _____
11) 36, 33, 39, 36, 42, 39, _____
12) 15, 60, 30, 120, 60, ______
13) 121, 100, 81, 64, _____
14) 36, 18, 34, 17, 32, 16, ______
15) 39, 41, 40, 42, 41, 43, ____
16) 65, 69, 67, 71, 69, _____
17) 13, 26, 22, 44, 40, ______
18) 12, 14, 18, 24, 32, ______
19) 15, 16, 19, 24, 31, ______
20) 2, 2, 4, 12, 48, ______
2) 49, 45, 39, 38, 29, 32, _____
3) 32, 34, 35, 35, 34, _____
4) 45, 36, 27, 18, _____
5) 1, 1, 2, 6, 24, ___
6) 5, 5, 7, 14, 9, _____
7) 24, 6, 2, 1, _____
8) 4, 5, 9, 14, 23, _____
9) 1, 3, 9, 27, _______
10) 9, 16, 25, 36, 49, _____
11) 36, 33, 39, 36, 42, 39, _____
12) 15, 60, 30, 120, 60, ______
13) 121, 100, 81, 64, _____
14) 36, 18, 34, 17, 32, 16, ______
15) 39, 41, 40, 42, 41, 43, ____
16) 65, 69, 67, 71, 69, _____
17) 13, 26, 22, 44, 40, ______
18) 12, 14, 18, 24, 32, ______
19) 15, 16, 19, 24, 31, ______
20) 2, 2, 4, 12, 48, ______
Mental Maths Calculations
Time Allowed: 10 minutes
Try to do all the questions mentally
1) 34 + 76 = 125 - ____
2) 210 ÷ 70 = 240 ÷ _____
3) 129 - 45 = 37 + ____
4) 28 x 3 = 14 x ______
5) 16 x 10 = 8 x _____
6) 14 x 5 = _____ x 10
7) 29 x 10 = ____ x 5
8) 10 - 4.6 = 1.9 + ______
9) (14 x 6) + (14 x 4) = 14 x ______
10) 35.4 + 17.1 = 15.1 + ______
11) 5700 ÷ 20 = _______ x 10
12) 90 x 40 = ____x 10
13) 27 x 30 = _____ + 10
14) 460 ÷ 20 = _____ + 30
15) 88 + 22 = _______ + 10
16) 79 + 41 = 100 + _____
17) 0.99 x 5 = 5 - _____
18) 1.99 x 4 = 8 - _______
19) 3.99 x 5 = ____ - 0.5
20) 1.5 x 9 = 9 + _______
Try to do all the questions mentally
1) 34 + 76 = 125 - ____
2) 210 ÷ 70 = 240 ÷ _____
3) 129 - 45 = 37 + ____
4) 28 x 3 = 14 x ______
5) 16 x 10 = 8 x _____
6) 14 x 5 = _____ x 10
7) 29 x 10 = ____ x 5
8) 10 - 4.6 = 1.9 + ______
9) (14 x 6) + (14 x 4) = 14 x ______
10) 35.4 + 17.1 = 15.1 + ______
11) 5700 ÷ 20 = _______ x 10
12) 90 x 40 = ____x 10
13) 27 x 30 = _____ + 10
14) 460 ÷ 20 = _____ + 30
15) 88 + 22 = _______ + 10
16) 79 + 41 = 100 + _____
17) 0.99 x 5 = 5 - _____
18) 1.99 x 4 = 8 - _______
19) 3.99 x 5 = ____ - 0.5
20) 1.5 x 9 = 9 + _______
Wednesday, 5 November 2014
Timed Maths Questions
1) 2/5 of a number is 14. What is the number?
2) 3 lollipops cost 91p. How much does 1 lollipop cost?
3) Anna weighs 2 kg more than Sam, who weighs 6 kg less than John. If John weighs 25 kg, How much does Anna weigh?
4) Sam takes 13 minutes to walk from his home to school. If his school starts at 8.55 am, what is the latest time he can start from home?
5) What is the perimeter of a garden which is 24m long and 15m wide?
6a) Anna gets £1.50 as pocket money everyday on the week days and 50p more on Saturdays and Sundays. How much money does she get as pocket money in 1 week?
6b) If she saves 40% of her pocket money, how much money does she save in a week?
7) If you add 25 to a number, you get 174. What is the number?
8) Anna's watch is 5 minutes fast. If it shows 6:03, what is the actual time?
9) Sam's watch is 3 minutes slow. If it shows 7:25, what is the actual time?
10) 0.8 = ____ %
11) 0.55 = ______ %
12) 7/8 of _______ = 35
13) 3.4 + _______ = 5.16
14) How 20ps are there in £3.00?
15) Adult fare from London to Manchester cost £30. Child fare cost 25% less. What is the child fare?
16) Population of a town is 80000. If 40% are women, how many women are there?
17) A necklace had 75 yellow beads and 100 green beads. What is the ratio of yellow to green beads?(Give your answer in the lowest terms)
18) A bracelet is made of red and white beads in the ratio of 3:1. If there are 40 beads in total, how many are red?
19) What is the sum of all the prime numbers between 20 and 30?
20) 500g flour costs 70p. What is the cost of 3/4 kg of flour?
2) 3 lollipops cost 91p. How much does 1 lollipop cost?
3) Anna weighs 2 kg more than Sam, who weighs 6 kg less than John. If John weighs 25 kg, How much does Anna weigh?
4) Sam takes 13 minutes to walk from his home to school. If his school starts at 8.55 am, what is the latest time he can start from home?
5) What is the perimeter of a garden which is 24m long and 15m wide?
6a) Anna gets £1.50 as pocket money everyday on the week days and 50p more on Saturdays and Sundays. How much money does she get as pocket money in 1 week?
6b) If she saves 40% of her pocket money, how much money does she save in a week?
7) If you add 25 to a number, you get 174. What is the number?
8) Anna's watch is 5 minutes fast. If it shows 6:03, what is the actual time?
9) Sam's watch is 3 minutes slow. If it shows 7:25, what is the actual time?
10) 0.8 = ____ %
11) 0.55 = ______ %
12) 7/8 of _______ = 35
13) 3.4 + _______ = 5.16
14) How 20ps are there in £3.00?
15) Adult fare from London to Manchester cost £30. Child fare cost 25% less. What is the child fare?
16) Population of a town is 80000. If 40% are women, how many women are there?
17) A necklace had 75 yellow beads and 100 green beads. What is the ratio of yellow to green beads?(Give your answer in the lowest terms)
18) A bracelet is made of red and white beads in the ratio of 3:1. If there are 40 beads in total, how many are red?
19) What is the sum of all the prime numbers between 20 and 30?
20) 500g flour costs 70p. What is the cost of 3/4 kg of flour?
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